Answer:
Option (1)
Step-by-step explanation:
System of equations is represented by two straight lines on a graph.
And solution of the system of equations is the point of intersection of these lines.
From the graph attached, two straight lines represent the system of equations.
And the point of intersection of these lines is the solution.
Therefore, solution of the system of equations will be (-6, -2).
Option (1) will be the correct option.
Answer:
Step-by-step explanation:
It is A on edge
The time series chart shows the profits of
a business for the last 12 years.
Calculate the 8th 2-point moving average
from the diagram.
Adding up all the data points during a specific period and dividing the sum by the number of time periods.
How does a two-year moving average get calculated?To compute a simple moving average, divide the number of prices during a time period by the total number of periods. A moving average is a technical indicator used by investors and traders to assess the direction of a security’s trend. It is determined by adding up all of the data points for a certain time period and dividing the total by the number of time periods.
For example, if we have the closing price data for the previous 30 days and need to estimate the price for the following day, we may add the 30 days’ closing price value and divide it by 30 to obtain the prediction of the next day.
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Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into the ground.
Let
y
yy represent Mr. Mole's altitude (in meters) relative to the ground after
x
xx minutes.
Which of the following could be the graph of the relationship?
Choose 1 answer:
Choose 1 answer:
The correct graph of the relationship is shown in Option D.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into the ground.
Now, Let y represent Mr. Mole's altitude (in meters) relative to the ground after x minutes.
Hence, The graph of line goes down with constant rate.
Thus, The correct graph of the relationship is shown in Option D.
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Find the exact value of sec A in simplest radical form
Answer:
sec A = sqrt(61) / 6
Step-by-step explanation:
sec theta = hypotenuse / adjacent side
sec A = sqrt(61) / 6
(b) The area of a rectangular pool is 6048 m²
If the width of the pool is 72 m, what is its length?
Answer:
84
Step-by-step explanation:
First write it out:
6048/72=L
This is because the formula for Area is Width * Length.
Then divide the area bu the width to get your answer:
84
QUESTION ON PIC BRAINLIEST THANK YOU!
Answer:
1, 3, 9, 27
Step-by-step explanation:
1 times 27 = 27
3 times 9 = 27
9 times 3 = 27
27 times 1 = 27
hope this helps!!!
Answer:
1, 3, 9, 27
Step-by-step explanation:
27 = 3³
The factors of 27 are:
1, 3, 9, 27
Describe a real life siuation for each problem
1. -3 + (-4)
2. -3 (+2)
Answer:
1. I'm $3 in debt, and I spend 4 more dollars. I am now 4 dollars more in debt than I was before.
2. I'm $3 in debt, and I pay back $2 of debt. I am now $1 in debt.
Step-by-step explanation:
-Hope this helped
A polynomial ppp is graphed. What could be the equation of ppp?
Choose 1 answer:
how far would the plane fly in 3 hours? in 3.5 hours?
Calculate the size of angle x.
Give your answer to 1 decimal place.
8 cm
11 cm
х
15 cm
Given:
Consider the below figure attaches with this question.
To find:
The size of angle x.
Solution:
Law of Cosines:
\(\cos A=\dfrac{b^2+c^2-a^2}{2bc}\)
Three sides of the triangle are 11 cm, 8 cm, 15 cm. Since 11 cm is the opposite side of the angle x, therefore \(a=11\).
Let \(A=x,a=11,b=8,c=15\). Substitute these values in the above formula.
\(\cos x=\dfrac{8^2+15^2-11^2}{2(8)(15)}\)
\(\cos x=\dfrac{64+225-121}{240}\)
\(\cos x=\dfrac{168}{240}\)
\(\cos x=0.7\)
Taking cos inverse on both sides, we get
\(x=\cos^{-1} 0.7\)
\(x=45.572996^\circ\)
\(x\approx 45.6^\circ\)
Therefore, the measure of angle x is 45.6°.
An Air Force plane left Paris and flew toward Moscow. A cargo plane left one hour later flying 40 km/h faster in an effort to catch up to it. After four hours the cargo plane finally caught up. What was the Air Force plane's average speed?
(Use box method)
Their is your answer hope i get a like
Answer:
The plane is traveling at 160 km/h
Step-by-step explanation:
This is because if the first plane is traveling at 160 and flies for 5 hours it'll travel 800 km. then the second plane will have to catch up in 4 hours since it left an hour late, this means traveling at 160 km with an extra 40 km in 4 hours will get it to the first plane at 800 km in the 4 hours given
Consider the function g(x) = x^12. Describe the range of the function.
Answer:
0 ≤ g(x) < ∞
Step-by-step explanation:
The range is all non-negative numbers.
___
g(x) is an even-degree polynomial with a positive leading coefficient, so it opens upward. There is no added constant, so its minimum value is zero. The function can take on all values zero or greater.
range: [0, ∞)
Based on the graph, how many distinct real number
solutions does the equation x³ + 6x² + 12x +8=0
have?
O no real number solutions
O one real number solution
O two real number solutions
O three real number solutions
Because the graph only intercepts the x-axis only once, the equation has only one solution. The correct option is the second one.
How many solutions the equation has?Here we want to see, based on a graph, how many solutions does the cubic equation:
x³ + 6x² + 12x +8 = 0
The graph of the function:
g(x) = x³ + 6x² + 12x +8
Can be seen below, the number of real solutions that the equation:
x³ + 6x² + 12x +8 = 0
has, will depend on how many times the graph intercepts the x-axis.
We can see that there is only one intercept, so there is one real solution.
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Graph the system of inequalities. Then use your graph to identify the point that
represents a solution to the system.
x + y2 3
x-3y< 2
(6, 1)
(8,-1)
(6,2)
O (6,-2)
The coordinates in the solution to the systems of inequalities graphically is (6, 2)
Solving the systems of inequalities graphicallyFrom the question, we have the following parameters that can be used in our computation:
x + y > 3
x - 3y < 2
Next, we plot the graph of the system of the inequalities
See attachment for the graph
From the graph, we have solution to the system to be the shaded region
The coordinates in the solution to the systems of inequalities graphically is (6, 2)
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PLEASE HELP ME‼️(IMAGE ATTACHED)
Solve the system of equations using determinants.
3x + 5y = 27
2x - y = -8
Find the values of determinants D, Dx and Dy
D=?
Dx=?
Dy=?
By simplificatiοn, the values οf the determinants are D = -13, Dx = -11, Dy = -60
What is a determinant οf a matrix?A determinant is a scalar value assοciated with a square matrix. The determinant οf a matrix can be used tο determine whether a matrix is invertible (i.e., has an inverse matrix) and whether a system οf linear equatiοns has a unique sοlutiοn, nο sοlutiοn, οr infinitely many sοlutiοns.
For a 2x2 matrix A = \(\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]\), the determinant is calculated as det(A) = ad - bc
To solve the system of equations using determinants, we need to set up the following matrix:
\(\left[\begin{array}{ccc}3&5\\2&-1\\\end{array}\right]\)
The determinant οf this matrix (D) is fοund by using the fοrmula:
D = (3)(-1) - (5)(2) = -13
Tο find the value οf Dx, we replace the x-cοefficients in the matrix with the cοnstants frοm the equatiοns:
\(\left[\begin{array}{ccc}27&5\\-8&-1\\\end{array}\right]\)
Then, we find the determinant οf this matrix:
Dx = (27)(-1) - (5)(-8) = -11
Tο find the value οf Dy, we replace the y-cοefficients in the matrix with the cοnstants frοm the equatiοns:
\(\left[\begin{array}{ccc}3&27\\2&-8\\\end{array}\right]\)
Then, we find the determinant οf this matrix:
Dy = (3)(-8) - (27)(2) = -60
Therefore, the values οf the determinants are:
D = -13
Dx = -11
Dy = -60
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(5)
(5) = 3, then (10) =???
,
3
Step-by-step explanation:
If (5) = 3
Then (10) = 6
Because 5 x 2 = 10 so 3 x 2 = 6
help pleaseeeeeeeeeeeeeeeeee
6x^2+18x=0 rounded the nearest 10th
By applying algebraic handling and the concept of polynomials, we conclude that the quadratic equation 6 · x² + 18 · x = 0 has two roots: 0, - 3.
How to solve a quadratic equation
In this question we must apply algebraic rules to find the roots of a quadratic equation, the roots are the values of the equation such that is equal to zero. Now we present the complete procedure:
6 · x² + 18 · x = 0
6 · x · (x + 3) = 0
x = 0 ∨ x = - 3
By applying algebraic handling and the concept of polynomials, we conclude that the quadratic equation 6 · x² + 18 · x = 0 has two roots: 0, - 3.
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Write an equation in slope-intercept form for the line with slope 4/3 and y-intercept -6.
Answer:
y=mx+b
Step-by-step explanation:
m=4/3×-6
I think this is the answer
Please Answer!
Match the following items
Point A is the third figure, plane B is first figure, ray AB is last figure, segment AB is forth figure and line AB is second figure.
Given is to match the figures with the name of the figure.
A point means a dot which does not contain any lines.
So, point A is the simple dot A which is given in the third figure.
Planes is a two dimensional surface which extends indefinitely.
Here the plane with name B is the figure which is the first one.
Rays are the part a line where one of the end point is fixed and the other end point extends to infinity.
Here the last figure has one of the end point fixed and the other end point has an arrow, which tells that it extends to infinity.
Hence ray AB is the last one.
Segments are parts of line for which both ends are fixed.
This is figure forth.
Lines extends both the end points to infinity.
Hence line is shown by second figure.
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Megan purchased a credit report to determine the quality of her credit. The credit report costs $15, and
there is a $3 fixed credit reporting fee. What type of tax is the credit reporting fee?
ad valorem tax
regressive tax
service tax
progressive tax
The type of tax is the credit reporting fee is ad valorem tax.
The correct option is (A)
What is tax?Taxes are additional fees levied by the government for products and services. The term "financial charge" also applies to taxes. Tax revenue is deposited into the government's account and used for public welfare. Taxes must be paid by the general people. Direct tax and indirect tax are two different forms of taxes.
A tax that is based on the appraised worth of a piece of property, a good, or a service is known as an ad valorem tax. Property taxes on real land, sales taxes on consumer products, and VAT on the value added to a final good or service are some of the most typical instances of ad valorem taxes.
Here $3 fixed credit reporting fee which is type of ad valorem tax.
Hence, the tax of credit is ad valorem tax.
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. Which sentence contains a proper noun? Users of electronic databases can check a library’s catalog to see which books are available. Using computers, people can obtain goods directly from manufacturers in other countries. The Internet is a communication network that gained popularity in the 1990s. With the capabilities provided by the computer, users can research products, services, and companies online.
Step-by-step explanation:
A proper noun is a specific name for a particular person, place, or thing.
The Internet is a communication network that gained popularity in the 1990s.
A proper noun should always start with a capital letter, whether at the start or middle of a sentence.Can someone please tell me if this is a function and also provide a easy explanation on how it is the answer? (30 pts)
The relationship in the figure is a function because each input has only one output to which they are linked
What is a function?A function is a definition or rule that maps each element in a set of input values to exactly one element in a set output values.
The data in the sets can be presented as follows;
x \({}\) f(x)
-1 \({}\) → 2
0\({}\) → 2
1\({}\) → -3
2\({}\) → -2
8\({}\) → 3
The above table indicates that each x-value has only one f(x) value, which indicates that the relationship s a function. The relationship is still a function with the presence of an f(x) value, 2, having two x values, -1 and 0, as the condition satisfies the definition of a function.
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Please help translate into an algebraic expression.
Five more than the product of 15 and a number.
Answer:
15a + 5
Step-by-step explanation:
I need help with this i cant cuaet understand it.
Answer:
radius = 16 in
diameter = 32 in
Step-by-step explanation:
radius = the distance from the center outwards (half of the diameter)
⇒ 32 ÷ 2 = 16 in
diameter = straight across the center, from end to end
⇒ 32 in
Which system of equations has one solution?
Answer:
A is correct, when two lines have 1 intersection (1 solution).
Step-by-step explanation:
B Two lines are parallel => No intersection (no solution).
C Two lines are coincident => Many intersection (many solutions).
Hope this helps!
:)
Step-by-step explanation:
As these two lines are not parallel so going to intersect at one point so having one solution
In ΔHIJ, h = 33 cm, i = 61 cm and j=39 cm. Find the area of ΔHIJ to the nearest square centimeter.
Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.
Explain about the Heron's formula:Heron of Alexandria (c. 62 ce) is credited with developing the Heron's formula, which determines the area of a triangle in regards of the lengths of its sides. If the side lengths are represented by the symbols a, b, and c: √s(s - a)(s - b)(s - c)
where s = half the perimeter,
s = (a + b + c)/2.
given data:
In ΔHIJ,
h = 33 cm, i = 61 cm and j =39 cm.semi -perimeter s = (i + j + h) / 2
s = (33 + 61 + 39) / 2
s = 66.5
Now,
s - h = 66.5 - 33 = 33.5
s - i = 66.5 - 61 = 5.5
s - j = 66.5 - 39 = 27.5
area of ΔHIJ = √s(s - h)(s - i)(s - j)
area of ΔHIJ = √66.5*33.5*5.5*27.5
area of ΔHIJ = √336947.1875
area of ΔHIJ = 580.47
Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.
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8. Mr. Azu invested an amount at rate of 12% per annum and invested another amount, GH¢
580.00 more than the first at 14%. If Mr. Azu had total accumulated amount of
GH¢2,358.60, how much was his total investment?
Answer:
GH¢. 18098.46
Step-by-step explanation:
Let the first investment giving 12% interest per annum be Bank A
Let the 2nd investment giving 10% per annum be bank B
Let the first amount invested be
GH¢. X and let the second amount invested be GH¢. X + 580
Thus; In bank A;
Principal amount in first = GH¢. x
rate = 12 %
time = 1 year
Formula for simple interest = PRT/100
Where P is principal, R is rate and T is time.
So, interest in his investment = 12X/100 = 0.12X
while in bank B;
principal amount = GH¢. X + 580
rate = 14%
time = 1 yr
So, interest in his investment = [(X + 580) × 14]/100
= 0.14(X + 580)
So, total accumulated interest is;
0.12X + 0.14(X + 580) = 0.12X + 0.14X + 81.2 = 0.26X + 81.2
Now, we are given accumulated interest = GH¢. 2,358.60
Thus;
2358.60 = (0.26X + 81.2)
2358.6 - 81.2 = 0.26X
X = 2277.4/0.26
X = 8759.23
So,
first amount invested = GH¢. 8759.23
Second amount invested = GH¢. 8759.23 + GH¢. 580 = GH¢. 9339.23
Total amount invested = GH¢. 8759.23 + GH¢. 9339.23 = GH¢. 18098.46
Please answer this correctly without making mistakes
Answer:
44,000 feet
Step-by-step explanation:
one mile equals 5280 feet so then you take 8 1/3 * 5280 = 44000 feet
A bag is filled with an equal number of red, yellow, green, blue, and purple marbles. The theoretical probability of Jonah drawing 2 red marbles from the bag with replacement is one fifth. If the experiment is repeated 100 times, what is a reasonable prediction of the number of times he will select 2 red marbles?
one fifth
5
20
25
Answer:
20
Step-by-step explanation:
The theoretical probability of drawing 2 red marbles from the bag with replacement is one-fifth, which means that the probability of drawing 2 red marbles in any one trial is 1/5 or 0.2.
The number of times Jonah is expected to select 2 red marbles in 100 trials can be predicted using the expected value formula:
Expected value = (Number of trials) x (Probability of success in one trial)
Expected value = 100 x 0.2
Expected value = 20
Therefore, a reasonable prediction of the number of times Jonah will select 2 red marbles in 100 trials is 20. Therefore, the answer is 20.
Answer: 20 i took the test
Step-by-step explanation:
Jose graphed the amount of money paid in relation to the Number of avocados bought. Which statement best describes the unit rate for the graph below?
Answer:
The Answer is C
Step-by-step explanation: