\(\left[\begin{array}{ccc}5\\3\\2\end{array}\right] \times[5 \ \ \ 3 \ \ \ 2]\)
Matrix multiplications are defined if the number of columns in the first matrix is equal to the number of rows in the second matrix.
\(\bf{\left( \begin{array}{rrr} 5 \\ 3 \\ 2 \end{array}\right) \ \ (5 \ \ 3 \ \ 2)}\)
Multiply the first element of the array by the first element of the second array to get the element of the first row of the first column in the product array.
\(\bf{\left( \begin{array}{rrr} 5\times5 & & \\ & & \\ & & \end{array}\right)}\)
The remaining elements of the product matrix are obtained in the same way.
\(\bf{ \left( \begin{array}{rrr} 5\times5 & 5\times3 & 5\times2 \\ 3\times5 & 3\times3 & 3\times2 \\ 2\times5 & 2\times3 & 2\times2 \end{array}\right) }\)
Simplify each item by multiplying the individual terms.
\(\left( \begin{array}{rrr} 25 & 15 & 10 \\ 15 & 9 & 6 \\ 10 & 6 & 4 \end{array}\right)\)
\(\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}\)
\( \begin{gathered}\left[\begin{array}{ccc}5\\3\\2\end{array}\right] \times[5 \ \ \ 3 \ \ \ 2]\end{gathered} \\ \\ \begin{gathered}\bf{\left( \begin{array}{rrr} 5 \\ 3 \\ 2 \end{array}\right) \ \ (5 \ \ 3 \ \ 2)}\end{gathered} \)
\(\begin{gathered}\bf{ \left( \begin{array}{rrr} 5\times5 & 5\times3 & 5\times2 \\ 3\times5 & 3\times3 & 3\times2 \\ 2\times5 & 2\times3 & 2\times2 \end{array}\right) }\end{gathered} \)
\(\begin{gathered}\left( \begin{array}{rrr} 25 & 15 & 10 \\ 15 & 9 & 6 \\ 10 & 6 & 4 \end{array}\right)\end{gathered}\)
Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
• They are perpendicular because their slopes are
negative reciprocals.
They are not perpendicular because their slopes are
equal.
O They are not perpendicular because their slopes are
not negative reciprocals.
Answer:
The answer is A
Step-by-step explanation:
Write an equation for the following problems and then solve.
1. Ten times a number added to five is nine times the number.
2. Twice the difference of a number and three is the sum of that number and four.
3. Three times a number is two times the difference of that number and one
Answer: 11,444,091,796,874
Step-by-step explanation: 10 x 2 = 20 + 5 = 25 to the power of nine = 3,814,697,265,625 divided by 2 = 1,907,348,632,812 - 953,674,316,406 = 476,837,158,203 x 3 = 1,430,511,474,609 x 4 = 5,722,045,898,437 so 3 x 2 = 6 - 1 = 5 x 5,722,045,898,437 = 11,444,091,796,874 I hope this helps
The numbers are:
1. 5
2. 10
3. -2
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
1. Ten times a number added to five is nine times the number.
let the number be x
Then, 10x + 5 = 9x
10x -9 x= 5
x= 5
2. Twice the difference of a number and three is the sum of that number and four.
let the number be w
Then, 2(w- 3) = w+ 4
2w - 6= w+ 4
w= 10
3. Three times a number is two times the difference of that number and one
let the number be y
Then, 3y = 2( y - 1)
3y= 2y- 2
y= -2
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A)
What are the coordinates of the vertex C'
B)
What is the length of the side A'B'?
Answer:
(4 , 1)
Step-by-step explanation:
This is because to find the coordinate on a graph, it is written as ( x , y) and x is on 4 and y is on 1.
that's my opinion.
Nice question
Given square PQRS, determine the missing information.
P
R
4 cm
1
S
X =
y=
Ox= 4y = 4
Ox + 4y = 2 sqrt(2)
x = 4y = 4 sqrt(2)
x = 4y - 8 sqrt(2)
The missing information in the square is option(b) x = 4y = 4 √(2) and y = 4.
Given square PQRS, the task is to determine the missing information. A square is a quadrilateral with four equal sides and four equal angles.
The coordinates of the vertices of a square are (x,y), (x+4,y), (x+4,y+4) and (x,y+4).
The missing information, x and y, can be found by solving the equations that represent the sides of the square. We can start by solving for x.
The equation for the side PQ is x + 4y = 2 √(2). Solving this equation for x gives x = 4y - 8 √(2).
Similarly, the equation for the side RS is x + 4y = 4 √(2). Solving this equation for x gives x = 4y = 4 √(2).
Therefore, the missing information is x = 4y = 4 √(2) and y = 4.
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a baseball is thrown upward from a rooftop 60 feet high. the function h(t)= -16t²+68t+60 describe the ball's height above the ground h(t) in feet t seconds after it is thrown. how long will it take for the ball to hit the ground?
Therefore, it will take the ball approximately 5 seconds to hit the ground. To find the time it takes for the ball to hit the ground, we need to determine when the height h(t) becomes zero.
Given the function h(t) = -16t^2 + 68t + 60, we set h(t) equal to zero and solve for t:
-16t^2 + 68t + 60 = 0
To simplify the equation, we can divide the entire equation by -4:
4t^2 - 17t - 15 = 0
Now, we can solve this quadratic equation either by factoring, completing the square, or using the quadratic formula. In this case, factoring is the most efficient method:
(4t + 3)(t - 5) = 0
Setting each factor equal to zero:
4t + 3 = 0 --> 4t = -3 --> t = -3/4
t - 5 = 0 --> t = 5
Since time cannot be negative, we discard the solution t = -3/4.
Therefore, it will take the ball approximately 5 seconds to hit the ground.
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NEED HELP ASAP, I WILL GIVE YOU BRAINLIEST
Which one represents the recursive formula for the series -4, -1, 2,...?
Answer:
sO THE ANSWER TO THIS QUESTION IS 2
Step-by-step explanation:
XY= 15 and YZ= 17 find XZ
Answer:
xz=255
Step-by-step explanation:
17 is prime so yz has to be 1*17
if that's the case xy=15*1
so 15*17=255
I need a good joke :D
Answer:
My life
Step-by-step explanation:
Is the function w(n)=n(n−4)(m−6)−n^2
(n−8) quadratic? If so, write the function in the form w(n)=an^2
+bn+c and enter the values for a,b, and c below. If not, enter NA in each answer field. (f)
The given function w(n) = n(n−4)(m−6)−n^2(n−8) is not a quadratic function. Therefore, NA (not applicable) should be entered in each answer field.
A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In the given function w(n), we have terms involving n, (n−4), (m−6), and (n−8), but none of these terms are multiplied by n^2. In a quadratic function, the highest power of the variable (in this case, n) should be 2.
Since the given function does not fit the form of a quadratic function, it cannot be expressed as w(n) = an^2 + bn + c. Instead, it remains in its original form, w(n) = n(n−4)(m−6)−n^2(n−8).
Therefore, NA is the correct answer.
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(a) Find the 95% confidence interval for the proportion of auto accidents with teenaged drivers: ) (Use 4 decimals.) (b) What does this interval mean? We are 95% confident that of the 604 sampled accidents, the proportion with a teenaged driver falls inside the above interval. We are 95% confident that the percent of accidents with teenaged drivers is 15.1%. We are 95% confident that the proportion of all accidents with teenaged drivers is inside the above interval. We are 95% confident that a randomly chosen accident with a teenaged driver will fall inside the above interval. (c) What does the 95% confidence level mean? We expect that 95% of random samples of size 604 will produce □ ✓ that contain(s) the □ □ of accidents that had teenaged drivers. The confidence interval contradicts the assertion of the politician. The figure quoted by the politician is outside the interval. The confidence interval supports the assertion of the politician. The figure quoted by the politician is inside the interval. The confidence interval contradicts the assertion of the politician. The figure quoted by the politician is inside the interval. The confidence interval supports the assertion of the politician. The figure quoted by the politician is outside the interval.
To find the 95% confidence interval, we first find the standard error of proportion by using the formula: Standard error of proportion \(= sqrt [p * (1 - p) / n]\)where\(n = 604, p = 0.151\)
Using this information we can find the 95% confidence interval as follows:Lower limit\(= 0.151 - 1.96 * sqrt [0.151 * (1 - 0.151) / 604] = 0.1179Upper limit = 0.151 + 1.96 * sqrt [0.151 * (1 - 0.151) / 604] = 0.1841\)Thus the 95% confidence interval for the proportion of auto accidents with teenage drivers is (0.1179, 0.1841) (rounded to four decimal places)b)
we cannot be 100% certain that the true proportion of all auto accidents with teenage drivers is within the interval (0.1179, 0.1841), but we can be 95% confident. Answer: The confidence interval contradicts the assertion of the politician. The figure quoted by the politician is outside the interval.
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Can someone please help me with this
Oliver's family took a 4-hour-and-30-minute trip on a train. They left at 7:30 a.m.
What time did Oliver's family arrive?
Answer:
12pm
Step-by-step explanation:
7:30am + 4 hours and 30 minutes = 12 pm
Answer:
Well, assuming that they just drove for four and half hours straight, without the train stopping for any reason, they would arrive at 12:00pm
7 + 4 = 11
30 + 30 = 60, and since that 60 is an hour then...
11 + 1 = 12
Hope this helps(:
A triangle has one side that measures 5 ft, one side that measures 7 ft, and one side that measures 11 ft.
The perimeter of the triangle is 23 ft.
We have,
We can use the triangle inequality theorem to check whether this triangle can exist.
According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's check whether this condition holds for the sides given:
5 + 7 = 12, which is greater than 11, so the condition holds.
5 + 11 = 16, which is greater than 7, so the condition holds.
7 + 11 = 18, which is greater than 5, so the condition holds.
Therefore, this triangle can exist.
To find the perimeter of the triangle, we simply add up the lengths of the three sides:
Perimeter = 5 + 7 + 11 = 23 ft
Therefore,
The perimeter of the triangle is 23 ft.
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The triangle inequality theorem states that a triangle with sides of 5, 7, and 11 feet is feasible.
The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
Any two triangle sides' lengths added together must be bigger than the third side's length.
The first two sides' combined lengths are 5 + 7 = 12, which is longer than the third side's length (11).The length of the second and third sides added together is 7 + 11 = 18, which is likewise longer than the first side's length (5).The first and third sides' combined lengths are 5 + 11 = 16, which is longer than the second side's (7 total) length.More about the triangle link is given below.
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Find the measure of unknown angle. Line p Il q
13. m2A=
14. m2B=
15. m2C=
16. m2D=
17. m2E-
18. m2F
19. m2G=
20. mZH
F
E
60°
H
100%
с
B
20
The value of x is 13 in the given parallel lines.
a and b are two parallel lines.
We have to find the value of x.
The angle of the straight line is 180 degrees.
12x-29+4x+1=180
Combine the like terms:
16x-28=180
Add 28 on both sides:
16x=180+28
16x=208
Divide both sides by 16:
x=208/16
x=13
Hence, the value of x is 13 in the given parallel lines.
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4. What are the Z-scores for the following Confidence Interval levels? Remember, you MUST account for both tails of the curve, positive and negative, when identifying each. That means you will need to do a little math to obtain the correct z-value. 3 Points 68%= 85% = 99% =
In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.
Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.
We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)
Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!
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On a cave dive in Oahu, a scuba diver swims at an elevation of 20 3/4 ft relative to sea level. She notices a sea turtle above her and rises 6 ft to take its picture. At what elevation does the diver take the picture?
The elevation at which the diver takes the picture is -14 3/4 feet if, on a cave dive in Oahu, a scuba diver swims at an elevation of 20 3/4 ft relative to sea level.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
On a cave dive in Oahu, a scuba diver swims at an elevation of 20 3/4 ft relative to sea level.
Let x be the elevation at which the diver takes the picture.
The value of x can be found as follows:
x = -20 3/4 + 6
x = -83/4 + 6
x = (-83 + 24)/6
x = -59/6
Or
x = -14 3/4 feet
Thus, the elevation at which the diver takes the picture is -14 3/4 feet if, on a cave dive in Oahu, a scuba diver swims at an elevation of 20 3/4 ft relative to sea level.
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|||
Calculator
3.05 Quiz: Volumes of Cones
What is the approximate volume of a cone with a height of 12 in. and radius of 9 in.?
Use 3.14 to approximate pi, and express your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
in³
Rounding to the nearest hundredth, the approximate volume of the cone is 1017.36 cubic inches.
How do we find volume of cone ?To find the volume of a cone, we use the following formula:
V = 1/3 * π * r² * h
where V is the volume of the cone, π (pi) is a mathematical constant approximately equal to 3.14, r is the radius of the circular base of the cone, and h is the height of the cone.
To use the formula, we simply substitute the given values for r and h into the formula and simplify. Make sure that the radius and height are measured in the same units. The resulting volume will be in cubic units.
The formula for the volume of a cone is:
V = 1/3 * π * r² * h
where π is pi (approximately 3.14), r is the radius of the base of the cone, and h is the height of the cone.
Substituting the given values, we get:
V = 1/3 * 3.14 * 9² * 12
= 1/3 * 3.14 * 81 * 12
= 3.14 * 324
= 1017.36
Rounding to the nearest hundredth, the approximate volume of the cone is 1017.36 cubic inches.
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There are 9 red, 8 blue, 5 green, and 15 white marbles in a jar. If I cannot see the marbles, what is the fewest number of marbles I must pick, without replacement, in order to guarantee that 3 of the marbles are of different colors?
Answer:
25
Step-by-step explanation:
select the points that are solutions to the system of inequalities. Select all that apply.
The solution to the graph of the linear inequality is the point of intersection which is (-5, 3)
Graph of System of Linear InequalityA system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system
In this problem, to find the solution to the system of linear inequality, we have to find the point of intersection. This gives the exact solution to the graph.
Looking at this graph, the point of intersection is (-5, 3)
The solution to the graph is (-5, 3)
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for the following grouped frequency distribution table, what is the width of each class interval? x f 20-29 2 30-39 5 40-49 4 50-59 1
The width of each class interval from the given grouped frequency distribution table is 9.
What is a class interval?In a frequency distribution, the numerical width of a class is referred to as the class interval. Data is organised into classes in a grouped frequency distribution. The class interval is determined by the difference between the upper and lower class limits.
The give class intervals are 20-29, 30-39, 40-49 and 50-59.
The size, or width, of a class interval is the difference between the lower and upper class boundaries and is also referred to as the class width, class size, or class length.
So, class width = Upper class - Lower class
29-20=9
39-30=9
Therefore, the width of each class interval is 9.
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the data set that lists the temperatures in albany, ny each day in the month of february would be classified as what type of data?
The data set that lists the temperatures in Albany, NY each day in the month of February would be classified as time series data, as it represents a sequence of observations recorded over a specific period of time.
Time series data refers to a collection of observations or measurements taken at regular intervals over time. In the case of the temperatures in Albany, NY each day in the month of February, the data set represents a sequence of daily temperature measurements recorded over the specific period of February. The data set captures the variation and patterns of temperature changes throughout the month, allowing for analysis of seasonal trends, fluctuations, and other temporal patterns. Time series data is commonly used in various fields, such as weather forecasting, economic analysis, and environmental monitoring, to understand and predict trends and patterns over time.
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EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Parallelogram
Answer:
solution given:
properties of parallelogram:
diagonal bisect each otherdiagonal are CONGRUENTat least two pair of opposite sides are CONGRUENTthe diagonal are not perpendicular.Parallelogram
Explanation:-
The answer is rectangle if we omit condition 4.
But as diagonals are not perpendicular its parallelogram.
As Rectangle has diagonals bisecting each other and perpendicular .Please Help I will do Brainliest for first and correct answer
Answer:
5
Step-by-step explanation:
41 - 32 = 9
5/9 x 9 = 5
benji keeps track of the number of frisbee golf holes on which he makes par or better. the table shows the number of holes benji has played during his round so far. if the ratio of holes with par or better to total holes played is equal to 0.4, on how many of the holes has benji made par or better?
Benji made par or better on 7 holes in his round so far.
the ratio of holes with par or better to total holes played is equal to 0.4. We need to determine on how many of the holes Benji has made par or better. Table that shows the number of holes Benji has played during his round so far is shown below: Number of holes played in round so far Holes played 6 12 18Number of holes with par or better Number of holes played
2x 6 0.4
The ratio of the number of holes with par or better to the total number of holes played is 0.4.So, (Number of holes with par or better) /
(Number of holes played) = 0.4
Number of holes with par or better
/ (6 + 12 + 18) = 0.42x / 36 = 0.4
Cross-multiplying the above equation, we get,
2x = 0.4 x 36 = 14.4Dividing by 2 on both sides, we get x = 7.2
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When performing a statistical test, such as the Chi-Square test, what p-value indicates that the data differ significantly from that expected if the null hypothesis is true?
When performing a statistical test, such as the Chi-Square test, the p-value is a crucial component in determining the significance of the data compared to the null hypothesis. The p-value represents the probability of observing the given data, or more extreme results, assuming the null hypothesis is true. In general, a p-value threshold of 0.05 is used to determine statistical significance.
If the calculated p-value is less than or equal to 0.05, it indicates that the observed data significantly differ from what is expected under the null hypothesis. This means that there is a less than 5% chance of obtaining the observed data if the null hypothesis were true. Consequently, researchers often reject the null hypothesis in favor of the alternative hypothesis when the p-value is less than or equal to 0.05.
However, it is essential to note that the choice of the significance level is subjective and may vary depending on the field or specific study. In some cases, a more stringent threshold, such as 0.01, might be required to minimize the chances of false positives, while in other situations, a more lenient threshold, such as 0.10, may be acceptable.
In summary, a p-value of 0.05 or less typically indicates that the data differ significantly from what is expected under the null hypothesis in a statistical test like the Chi-Square test. However, the chosen threshold for significance may vary depending on the specific context and research objectives.
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grade 8 math's please.
The measure of one interior angle of the decagon is 144 degrees
Working out the measure of one interior angle of the decagonFrom the question, we have the following parameters that can be used in our computation:
The decagon
The sum of interior angles of a polygon is calculated as
Sum = 180 * (n - 2)
Where
n = number of sides
In a decagon, we have
n = 10
This means that
Sum = 180 * (10 - 2)
When evaluated, we have
Sum = 1440
The measure of one interior angle of the decagon is then calculated as
One interior angle = 1440/10
Evaluate
One interior angle = 144
Hence, the measure of one interior angle of the decagon is 144 degrees
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use the flux form of green's theorem to evaluate ∫∫r2xy+12y3 da, where r is the triangle with vertices (0,0), (1,0), and (0,1). question content area bottom part 1 ∫∫r2xy+12y3 da=enter your response here (simplify your answer.)
To evaluate the given integral using Green's theorem, we need to express it in the flux form. The result of the integral is -r/6.
Green's theorem states that for a region R bounded by a simple closed curve C, the flux of the vector field F = (P, Q) across C is equal to the double integral of the curl of F over R.
In this case, we have the vector field F = (r^2xy, 1/2y^3), where r is the position vector (x, y).
The flux form of Green's theorem is:
\(∫∫R (curl F) · dA = ∫∫R (∂Q/∂x - ∂P/∂y) dA\)
Let's calculate the curl of F:
∂Q/∂x = 0
∂P/∂y = 2rxy
So, the curl of F is given by\((∂Q/∂x - ∂P/∂y) = 0 - 2rxy = -2rxy.\)
Now, let's evaluate the integral using the flux form of Green's theorem:
∫∫R (-2rxy) dA
Since the region R is a triangle with vertices (0,0), (1,0), and (0,1), we can express it as:
\(R = {(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 - x}\)
Now, we can rewrite the integral:
\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)
Let's evaluate the inner integral first:
\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)
Now, evaluate the outer integral:
\(∫₀¹ -r(x-x²) dx = -r(x²/2 - x³/3) ∣₀¹ = -r(1/2 - 1/3) = -r(3/6 - 2/6) = -r(1/6) = -r/6\)
Therefore, the result of the integral is -r/6.
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simplify the expression 22(5) − 8
Answer:The answer to the expression is 102.
Step-by-step explanation:
Answer:
102
Step-by-step explanation:
22(5)-8=102
Multiply and divide (left to right) 22(5) : 110
= 110 - 8
Add and subtract ( left and right) 110 - 8 : 102
Factor -3x^2-23x+8. Please Help
Answer:
-(x+8)(3x-1)
Step-by-step explanation:
Take out the - sign, then factor as if it is positive.
An automobile uses 17 gal of fuel to go 590 mi. how many gallons are required to travel 840 mi? (round your answer to one decimal place.)
Answer:
the car would use 49 gallons because you get a decimal of 49.49 so you would put got decimal to the nearest 1's place and that would be 49