Answers
Answer:
X ∈ {-2, -1 ,1 ,5 ,6}
Step-by-step explanation:
Answer:
Step-by-step explanation:
Related Questions
Y=x^3-4x^2-20x+48 use the rational zero theorem
Answers
The roots of the given polynomial using the rational zero theorem are; 2, -4 and 6.
How to use the rational zero theorem?We are given the polynomial;
y = x³ - 4x² - 20x + 48
Since all coefficients are integers, we can apply the rational zeros theorem.
The trailing coefficient (the coefficient of the constant term) is 48
Find its factors (with the plus sign and the minus sign): ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48.
These are the possible values for p.
The leading coefficient (the coefficient of the term with the highest degree) is 1.
These are the possible rational roots:
±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48.
Checking the possible roots: if a is a root of the polynomial P(x), the remainder from the division of P(x) by x - a should equal 0 (according to the remainder theorem, this means that P(a)=0
Plugging in those values, the only ones that yield P(a) = 0 are; 2, -4 and 6.
Thus, these are the roots of the given polynomial.
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what is the square root of 325698
Answers
Identify the parts of the expression 20+5×9 then write a word expression in a numerical or algebraic expression
Answers
A word expression for this numerical expression is: "twenty plus five times nine" or an algebraic expression is \($20+5\cdot 9$\).
What is expression?In math, an expression is a statement that uses at least one operation and at least two distinct (known or unknown) numbers. Addition, subtraction, multiplication, division, exponents, and roots are all examples of operations. The lack of something defines an expression in perhaps the most significant way.
According to question:The expression \($20+5\times 9$\) has the following parts:
The number $20$ is a constant term.
The number 5 is a coefficient of the term 9.
The number 9 is a constant term.
A word expression for this numerical expression is: "twenty plus five times nine" or an algebraic expression is \($20+5\cdot 9$\).
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A firm gives discounts to its customers who pay their bills on time. A customer receives a ten percent discount on the next invoice when a bill is paid in full before its due date. Thirty percent of all customers use the discount. If the company sends out eight bills, what is the probability that less than three take the discount (round answers to three decimal places, for example, 0.xxx)
Answers
Answer:
0.551
Step-by-step explanation:
Let no. of people who take discount = x
Using binomial distribution, N c X. p^x. q^(n-x)
p : customer getting discount = 0.3, q : customer not getting discount = 0.7 n : no. of customers = 8
Probability that x < 3 : Prob (x=0) + Prob (x=1) + Prob (x=2)
= 8 c 0. (0.3)^0 . (0.7)^8 + 8 c 1. (0.3)^1 . (0.7)^7 + 8 c 2. (0.3)^2 . (0.7)^6
0.05764801 + 0.19765032 + 0.29647548
0.551
A line segment has end points V (-4,-4) and W (11, 2). What is the x-coordinate of the point that is 2/5 of the way from V to W on this line segment
Answers
the x-coordinate of the point that is 2/5 of the way from V to W on this line segment is approximately 8.08.
What is coordinate?A coordinate is a number or set of numbers that specifies the position of a point in a space. Coordinates are used to describe the position of objects in various mathematical systems, including two-dimensional and three-dimensional Euclidean spaces, as well as non-Euclidean spaces like spherical or hyperbolic geometries.
by the question.
The x-coordinate of the point that is 2/5 of the way from V to W can be found by first determining the x-coordinate of the point that is 2/5 of the way from V to W and then using the formula for finding the x-coordinate of a point on a line given its y-coordinate.
To find the point that is 2/5 of the way from V to W, we need to first find the distance between V and W. Using the distance formula:
d =\(\sqrt{11-(-4)^{2} }\) + (2 - \((-4)^{2}\)) = \(\sqrt{225+36}\)= \(\sqrt{261}\)
Then, the distance between V and the point we're looking for is (2/5) * \(\sqrt{261}\), and the distance between the point we're looking for and W is (3/5) * \(\sqrt{261}\).
To find the x-coordinate of the point we're looking for, we can use the formula:
x = (distance from V to point we're looking for)/ (total distance) * x
coordinate of W + (distance from point we're looking for to W)/(total distance) * x-coordinate of V.
Substituting the values, we found:
x = (2/5 *\(\sqrt{261}\))/\(\sqrt{261}\)) * 11 + (3/5 * \(\sqrt{261}\))/\(\sqrt{261}\)) * (-4) = 8.08
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11 of 3011 of 30 Questions
Question
A baker makes peanut butter cookies and chocolate chip cookies.
She needs 2 cups of flour and 34
cup of butter to make one batch of peanut butter cookies.
She needs 3 cups of flour and 1 cup of butter to make one batch of chocolate chip cookies.
If the baker has 26 cups of flour and 9 cups of butter, how many batches of each type of cookie can she make?
Answers
The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.
Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."
From the given information, we can set up the following system of equations:
For the flour:
2x + 3y = 26
For the butter:
34x + y = 9
To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:
Multiply the first equation by 17 (to make the coefficients of x in both equations the same):
34x + 51y = 442
Now we have the system of equations:
34x + y = 9
34x + 51y = 442
Subtract the first equation from the second equation:
34x + 51y - (34x + y) = 442 - 9
50y = 433
Divide both sides by 50:
y = 433/50
Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.
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What is the unit rate of 36 flowers in 3 bouquets
Answers
Answer:
12 flowers per bouquet
Step-by-step explanation:
Answer:
12 / 1
Step-by-step explanation:
12 times 3 is 36 so 12 flowers in each bouquets.
Rewrite as a simplified fraction.
0.1 with the 1 repeating
Answers
Answer:
\(\frac{1}{9}\)
Step-by-step explanation:
\(\frac{1}{9} =0.111111111111111111\)
a^3 b^2/a^-1 b^-3 please help!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Hope the picture will help you.............
I really need help ;-;) pls explain this
Answers
Answer: A: 180= 90+4x+x
B: x=18
Step-by-step explanation:
1. Every triangle has a length of 180
2. So all the measurements combined would equal 180
3. So write the equation 180=90+4x+x
4. Let‘s simplfy, 180=90+5x
5. Subtract 90 from each side, 90=5x
6. Divide each side by 5, 18=x.
7. Double check our work! 90+(4*15)+18=180
factor the polynomial 5x^4 + 10x^3 + 15^2
Answers
Answer:
Step-by-step explanation:
5x^4+10x^3+15x^2
5x^2(x^2+2x+3)
Type the correct answer in each box.
Consider the expressions shown below.
-
Answers
Answer:
First one is b second one is a thrid is c
Step-by-step explanation:
Solve the right triangle with a= 1.22 and b= 19.3. Round off the results according to the table below.
Answers
see the figure below to better understand the problem
step 1
Find out the value of c
Applying the Pythagorean Theorem
\(\begin{gathered} c^2=a^2+b^2 \\ c^2=1.22^2+19.3^2 \\ c=19.34 \end{gathered}\)step 2
Find the measure of angle A
\(\begin{gathered} tanA=\frac{1.22}{19.3} \\ A=3.6^o \end{gathered}\)step 3
Find out the measure of angle B
Remember that
A+B+C=180 degrees
A=3.6
C=90
substitute
3.6+B+90=180
B=180-93.6
B=86.4 degrees
therefore
c=19.34A=3.6 degreesB=86.4 degrees
. Describe how you could use algebra tiles to model the equation 4x = 20.
Answers
With this cοnfiguratiοn, the equatiοn 4x = 20 wοuld be demοnstrated, with the area οf the parallelοgram (4x) equalling the area οf the square (20).
Mοdelling an EquatiοnFirst, we are gοing tο mοdel this equatiοn with οur square and rectangle tiles. We see οur equals sign, sο we will place square and rectangle tiles οn either side tο represent what is οn either side οf the equatiοn. On the left side, we have 2x and a -4. Sο οn that side, we will have twο green rectangle tiles tο represent οur 2x and fοur red square bricks tο represent οur -4. On the right side, we have ten blue square tiles tο represent οur 10.
What is equatiοn ?A mathematical assertiοn that twο expressiοns are equivalent is knοwn as an equatiοn. Twο expressiοns are usually jοined tοgether using an equal sign, as in the fοllοwing example: 2x + 3 = 7 . The equatiοn in this instance claims that the expressiοn οn the left (2x + 3) equals the expressiοn οn the right (7). The unknοwn number represented by the variable "x" can be determined using algebraic methοds.
The variables and cοnstants in algebraic expressiοns and fοrmulae can be represented by algebra tiles, which are actual tiles. They can be used tο represent and illustrate mathematical ideas and cοnnectiοns, which can aid students in cοmprehending and resοlving algebraic issues.
We can use rectangular tiles tο symbοlise the variables and square tiles tο represent the cοnstants tο mοdel the equatiοn 4x = 20 using algebra tiles. Fοr example, tο represent 4x, we wοuld need fοur rectangular tiles, and tο depict 20 we wοuld need twenty square tiles.
With this cοnfiguratiοn, the equatiοn 4x = 20 wοuld be demοnstrated, with the area οf the parallelοgram (4x) equalling the area οf the square (20).
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Complete question
How to Use Algebra Tiles to Model & Solve Equations 4x = 20?
A line has a y-intercept of 4 and a slope of 2/3. Explain how you can use this
information to graph
Answers
Answer:
0,2 0r 2/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
First, you put it into slope intercept form
y = mx + b
m is the slope
b is the y intercept
y = 2/3 + 4
help me please
Indicate the method you would use to prove the two triangles. If no method applies, enter "none".
AAS
SSS
NONE
SAS
ASA
Answers
Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.
Kaylee owns a food truck that sells tacos and burritos. She only has enough supplies to make 120 tacos or burritos. She sells each taco for $3 and each burrito for $6. Kaylee must sell at least $480 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
Answers
The system of inequalities is:
x + y ≤ 120
x*3 + y*6 ≥ 480
And one possible solution to it is x = 20 and y = 80.
How to find the system of inequalities?
First, we need to define two variables, we will be using:
x = number of tacos.y = number of burritos.We know that she can make at most 120 units, then:
x + y ≤ 120
And she wants to win at leastt $480, then:
x*3 + y*6 ≥ 480
So our system of inequalities is:
x + y ≤ 120
x*3 + y*6 ≥ 480
And the graph can be seen in the image below, the solution set of the system is given by the region where both shaded areas intersect.
There we can see that one possible solution is x = 20 and y = 80, in that case the total number of items made is:
20 + 80 = 100, which is less than 120
And the income is:
20*3 + 80*6 = 540.
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Minni has to buy stickers, erasers, and a pencil. She can only spend $4. A sticker costs $0.35, an eraser costs $0.99, and a pencil costs $0.59. Can Minni buy 2 stickers and 2 erasers?
[Use the inequality 0.35x + 0.99y + 0.59 ≤ 4]
Yes, because the total will be $3.27
Yes, because the total will be $1.93
No, because the total will be $4.27
No, because the total will be $5.93
Answers
Answer:
The answer to your question is A. Yes, because the total will be $3.27
0.35(2)+0.99(2)+0.59≤4.
Then you multiply: .35(2)=.70. .99(2)=1.98.
Then add: .70+1.98+.59=3.27, so yes she can since 3.27 is less than 4 :)
Step-by-step explanation:
I hope this helps and have a good day!
Which expression is equivalent to square root 343x^9y^12z^6?
Answers
Answer:
Step-by-step explanation:
343: = 7 * 7 * 7
x^9: = x^3 * x^3 * x * x * x = x^3 * x * √x
y^12: = y^6 * y^6
z^6: = z^3 * z^3
So the square root is
√343 = 7 √7
√x^9 = x^4√x
√y^12 = y^6
√z^6 = x^3
The rule is for every pair of equal factors, you take one outside the root sign and throw the other one away.
So z^6 for example is z^3 * z^3 Take one of the pair outside the root sign and throw the other one away.
x^9 is rather tricky. You take x^4 out and there is still one x left over. You leave it under the root sign.
So the answer is
7 * x^4 * y^6 * z^3 * √7x
Find the scale factor to map ΔABC onto ΔA′B′C′.
Question 19 options:
A)
3
B)
1∕3
C)
1∕2
D)
4
Answers
Answer:
answer is 1/3 so B
Step-by-step explanation:
find a decimal that is equal to each fraction. round to the nearest thousandth if necessary 1/9
Answers
Given the fraction 1/9, we can find the decimal if we divide 1 by 9:
notice that we have a repeating decimal with period 1, then, an equivalent decimal to 1/9 is 0.1111...
The angles of a triangle add up to 180 degrees.
The second angle is 15 degrees larger than the smallest angle.
The third angle is 3 times as big as the smallest angle.
Find the measure of the smallest angle (in degrees)
Answers
Answer:
33°
Step-by-step explanation:
We were given that:
1- The angles of a triangle add up to 180 degrees
2- The second angle is 15 degrees larger than the smallest angle
3- The third angle is 3 times as big as the smallest angle
So, first of all, let's call the smallest angle x.
the second angle will be (x + 15°) since it is 15 degrees greater than the smallest angle
and the third will be 3x, since it is 3 times bigger than the smallest angle.
With the information we have, we can form an equation!
180° = x + (x+ 15°) + 3x
180° = 5x + 15°
180° - 15° = 5x + 15° - 15°
165° = 5x
165°/5 = 5x/5
33° = x
therefore, the smallest angle measures 33° degrees, the second angle measures 48° and the third angle measures 99°.
99° + 33° + 48° = 180°
so it is safe to say this answer is correct!
If the angles of a triangle add up to 180 degrees. The second angle is 15 degrees larger than the smallest angle. The third angle is 3 times as big as the smallest angle then 35 degree is the measure of the smallest angle.
The sum of three angles is 180 degrees
Let the smallest angle be x
The second angle is 15 degrees larger than the smallest angle.
The third angle is 3 times as big as the smallest angle.
We need to find smallest angle.
What is angle sum property of triangle?The sum of three angles of a triangle is 180 degrees
Let the smallest angle be x
The second angle is 15 degrees larger than the smallest angle.
The third angle is 3 times as big as the smallest angle.
We need to find smallest angle x=?
x+(x+15)+3x=180
2x+15+3x=180
5x+15=180
5x=165
Divide both sides by 5.
x=35
Therefore the smallest angle is 35 degree.
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Solve this for 20 points be fast!!
Don’t mind the scribes
Answers
Answer:
One cubed shape block volume = 0.125 cubic feet
Step-by-step explanation:
Since the edge length of each block is 1/5 the edge length of the storage container, we do this:
1/5 x 2.5 = 0.5
Now we know that the edge length of each block is 0.5 feet. To find the volume of it, we do this:
0.5^3 = 0.125
The volume of one cubed shape block is 0.125 cubic feet.
Need help!! Giving out 100 points to who answers this right!! NEED HELP STAT
Answers
Answer: The area of the shape is 156.
Answer:156
Step-by-step explanation:
Use mental math to solve the proportion. 25 over 40 equals 5 over t
Answers
Answer:
t = 8
Step-by-step explanation:
create the proportion
\(\frac{25}{40} =\frac{5}{t}\)
\(\frac{25}{40}\) simplifies down to \(\frac{5}{8}\)
t = 8
Answer:
8
Step-by-step explanation:
25/40=5/t
0.625=5/t
0.625*t=5
(0.625*t)/0.625=5/0.625
t=8
It took Todd 11 hours to travel over pack ice from one town in the Arctic to another town 330 miles away. During the return journey, it took him 15 hours.
Assume the pack ice was drifting at a constant rate, and that Todd’s snowmobile was traveling at a constant speed relative to the pack ice.
What was the speed of Todd's snowmobile?
Answers
Answer:
The speed of Todd's snowmobile was 22 miles an hour
Step-by-step explanation:
:))
The speed of Todd's automobile is 31 miles per hour.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.
Given that It took Todd 11 hours to travel over pack ice from one town in the Arctic to another town 330 miles away. During the return journey, it took him 15 hours.
For the first journey,
v₁ + v₂ = 330 / 11 ......................( 1 )
For the return journey,
v₂ - v₁ = 330 / 15 .........................( 2 )
From equation ( 1 ) and equation ( 2 ),
2v₂ = ( 330 / 11 ) + ( 330 / 15 )
2v₂ = ( 330 ) ( 31 / 165 )
v₂ = 165 ( 31 / 165 )
v₂ = 31 miles per hour
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What is the answer too 509+35+12
Answers
Answer:
556
Step-by-step explanation:
the answer to your question
Which is not a factor pair of 150?
Responses
6⋅25
2⋅70
5⋅30
10⋅15
Answers
Answer:
2.70
Step-by-step explanation:
because B. would be 140 not 150
The height of a tree when planted is 1.1 m.
One year later, the height of the tree is 2.4 m.
Calculate the percentage
increase in the height of the tree
over the year, correct to 1 d.p.
Answers
Answer:
118.2
Step-by-step explanation:
1.1m is 100%
2.4m×100=240
240/1.1= 218.(18)
218.(18)%-100%=118.(18)=118.2
Mark used the computer for 12 hours. If the average power use of a computer per hour is 299 watts, how much power did Mark use?
Answers
Answer:
Step-by-step explanation:
To be able to solve, you need to multiply 12 (the amount of hours he used) by 299 (since he used 299 per hour) this would result in you getting a answer of 3,588 watts of power.