In a graph, x represents the number of months since a business opened, and y represents the total amount of money the business has earned. The following three points are from the graph:

Answers

Answer 1

The slope of the graph is 745 and the y-intercept of the graph is 500

Missing part of the question

The following three points are from the graph: (2, 1990) (5, 4225) (9, 7205)

Find the slope and y-intercept

How to determine the slope?

The points are given as:

(2, 1990) (5, 4225) (9, 7205)

The slope is calculated using:

m = (y2 - y1)/(x2 - x1)

So, we have:

m = (4225 - 1990)/(5 - 2)

Evaluate

m = 745

Hence, the slope of the graph is 745

How to determine the y-intercept?

In (a), we have

m = 745

To calculate the y-intercept, we use the following points

(x1 , y1) = (0,y)

Recall that:

m = (y2 - y1)/(x2 - x1)

So, we have:

745 = (4225 - y)/(5 - 0)

Evaluate the difference

745 = (4225 - y)/(5)

Multiply both sides by 5

3725 = 4225 - y

Solve for y

y = 500

Hence, the y-intercept of the graph is 500

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Related Questions

What is the surface area in square inches of a basketball that has a diameter of 9 inches

Answers

if its diameter is 9, that means its radius is half that, or 4.5.

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4.5 \end{cases}\implies \begin{array}{llll} SA=4\pi (4.5)^2\implies SA=81\pi \\\\\\ SA\approx 254.47~in^2 \end{array}[/tex]

The surface area of the basketball with diameter of 9 in will be 254.34 in².

What is surface area?

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given that, a basketball has a diameter of 9 inches we need to find its surface area,

Since, the basketball is in the shape of the sphere and the surface area of the sphere = 4π×radius²

Therefore, the surface area of the basketball =

= 4×3.14×(9/2)²

= 4×3.14×4.5×4.5

= 254.34 in²

Hence the surface area of the basketball with diameter of 9 in will be 254.34 in².

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8 9/10 x 1 4/5 = ? please answer soon and thanks

Answers

Answer:

16 1/50

Step-by-step explanation:

First, turn the fractions into improper fractions.

8 9/10 can be 89/10 and 1 4/5 can be 9/5.

Then you multiply them together:

89/10 * 9/5= 801/50

Now, since 801/50 is 16.02 turn that into a mixed fraction. It becomes 16 1/50.

That's your answer.

The answer of that question is 16.02

Montraie has a coin collection. He keeps 10 of the coins in his box, which is 20% of the collection. How many total coins are in his collection?

Answers

By definition of percentages, we conclude that Montraie has 10 coins saved in his box that come from a collection with a total of 50 coins.

How to calculate the quantity of coins in a collection

In this question we know the quantity of coins in a box and such coins are part of the coin collection. By definition of percentage we have the total quantity of coins in the collection:

x = 10*(100/20)

x = 50

By definition of percentages, we conclude that Montraie has 10 coins saved in his box that come from a collection with a total of 50 coins.

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In 9th grade Jade started a college fund with
$15,000 at a rate of 6.3% compounded bi-
annually. How much money will she have in 4
years?

Answers

Answer:

this is the answer I got hope it helps

Evaluate l-x-2yl for x = -2 and y = 3.

Answers

Step-by-step explanation:

|...| means absolute value of "...". that means always the "+" value of "...", even if it is negative.

in other words

|-x| = x

|x| = x

|-x - 2y| for x = -2 and y = 3

|- -2 - 2×3| = |2 - 6| = |-4| = 4

What is the area of the parallelogram?

A parallelogram has a base of 3 feet and height of 2 and one-half feet.
7 and one-half feet squared
9 feet squared
10 and one-half feet squared
12 feet squared

Answers

Answer:

7 and one-half feet squared

Step-by-step explanation:

3 x 2.5 = 7.5

What are the missing sides in the triangle written as integers or as decimals rounded to the
nearest tenth? The figure is not drawn to scale.

x= 18; y = 15.6
x= 12.7; y = 15.6
x= 12.7;y=9
x=9; y = 12.7

Answers

The value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9

Trigonometry

From the question, we are to determine the values of the missing sides

From the diagram,

Opposite = 9

Adjacent = y

Hypotenuse = x

Included angle = 45°

Using SOH CAH TOA, we can write that

[tex]tan 45^\circ= \frac{9}{y}[/tex]

[tex]1 = \frac{9}{y}[/tex]

∴ y = 9

Since the triangle is a right triangle, we can write that

x² = y² + 9² (Pythagorean theorem)

x² = 9² + 9²

x² = 81 + 81

x² = 162

x = √162

x = 12.7

Hence, the value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9

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evaluate f(x) = 3/6x+6 when x = -1

a) undefined
b) 0
c) 3
d) 3/36

Answers

Answer:

a) Undefined.

Step-by-step explanation:

[tex]f(x) = \dfrac 3{6x+6} = \dfrac{3}{6(x+1)} = \dfrac{1}{2(x+1)}\\\\\\f(-1) =\dfrac{1}{2(-1+1)}= \dfrac{1}{0}[/tex]


Josh wants to pour 70.83 grams of salt into a container. So far, he has poured 39.1 grams. How much more salt should Josh pour?

Answers

Answer:

31.73 grams

Step-by-step explanation:

70.83 g - 39.1 g = 31.73 g

what is the awnser to this The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same number of slices, giving them a total of 24 slices.
The Wilson family also orders several large pizzas from the same pizza restaurant. They also cut the pizzas so that all their pizzas have the same number of slices. For the Wilson family, the equation y = 10x represents the relationship, where x represents the number of pizzas and y represents the number of total slices.
Which statements best describe the pizzas bought by the Hernandez and Wilson families? Select two options.
For the Hernandez family, the equation y = 3x represents the relationship between the number of slices and number of pizzas, where x represents the number of pizzas and y represents the number of total slices.
For each family, a graph of the relationship between number of pizzas, x, and number of slices, y, goes through the point (0, 0) and is a straight line.
The Hernandez family’s slices are smaller than the Wilson family’s slices.
If the Wilson family ordered 3 large pizzas from the same restaurant as the Hernandez family, they would have more slices than the Hernandez family after each family cut their pizzas into slices.
The constant of proportionality is 10 for the Wilson family, but cannot be determined for the Hernandez family.

Answers

The two true statements are the second statement (both lines contain the point (0,0)) and the fourth statement (If the Wilson family buys 3 pizzas, they will get more slices than the Hernandez family).

Which is the correct statement?

First, we know that the Hernandez family orders 3 large pizzas, such that they cut each pizza in the same number of slices, getting a total of 24 slices.

Then the number of slices that they get for each pizza is:

24/3 = 8

So from each large pizza, they get 8 slices.

So the relation between the number of pizzas bought (x) and the number of slices (y) is:

y = 8*x

In the other hand for the Wilson family we have the relation:

y = 10*x

Where y and x are the same ones as the defined above.

Then the true statements are:

"If the Wilson family ordered 3 large pizzas from the same restaurant as the Hernandez family, they would have more slices than the Hernandez family after each family cut their pizzas into slices."

This is true because Wilson family cuts each pizza in 10 slices, while the Hernandez family cuts each pizza in 8 slices.

"For each family, a graph of the relationship between number of pizzas, x, and number of slices, y, goes through the point (0, 0) and is a straight line."

The point (0, 0) means that if they buy 0 pizzas, they get 0 slices, which is true, so both relations contain this point.

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What is the equation of the line that passes through the point (5,3) and has a slope of -1/5 ?

Answers

Answer: y=-1/5x+4

Step-by-step explanation: use the equation y=mx+b (x,y)->(5,3) 5 is an x value and 3 is a y value so you want to plug in these values into the equation. 3=-1/5(5)+b. We already know our slope so just plug it into m. Now multiply -1/5 and 5 which is -1. 3=-1+b you want to isolate b so you can find the intercept. Add one to both sides so it cancels out. 4=b we found our y-intercept so we can write the equation now. y=-1/5x+4

2. What is the volume of this prism?
5
5
1.7
2
2
17 cubic units
28 cubic units
1.7
5
2
1.7

Answers

The volume of the rectangular prism is 17 cubic units

How to determine the volume?

The given parameters are:

Length = 5 unitsWidth = 2 unitsHeight = 1.7 units

The volume is calculated as:

Volume = Length * Width * Height

Substitute known values

Volume = 5 * 2 * 1.7

Evaluate

Volume = 17

Hence, the volume of the prism is 17 cubic units

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What is the theoretical probability of drawing a blue marble from a bag containing 6 Green marbles, 9 yellow marbles and 5 blue marbles?

Answers

Answer:

1/20

Step-by-step explanation:

number of favourable outcomes/number of outcomes

Is 0.2775 a rational number

Answers

Answer:

yes it is

Step-by-step explanation:

It is a rational number, as it can be written as a fraction.

Please help me this is very hard the first person to help me get's marked as brainly but i need the correct answer

Answers

What’s your question

If f(x) = 3x² - 4 and g(x) = x+2, find (f - g)(x).

Answers

Answer:

for the x values: -2,-1,0,1,2

y-values: 13, 6, 5, 4, -3

Step-by-step explanation:

which of the following is a statement of the triangle inequality theorem​

Answers

Answer:

A

Step-by-step explanation:

Pick any two sides....their sum must be greater than the third side....

  a+b > c

  a+c > b

  c + b > a

For a two-tailed test with a sample size of 20 and a. 20 level of significance, the t value is _____.

Answers

Using a t-distribution calculator, it is found that the critical value for the hypothesis test is of t = 1.3277.

How to find the critical value of the t-distribution?

The critical value is found considering three inputs:

The tail.The significance level.The amount of degrees of freedom, which is one less than the sample size.

Hence, for a two-tailed test, with a 0.2 significance level and 19 df, the critical value is of t = 1.3277.

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Can you help me solve this equation I been trying to search a video explaining this but nothing and I gaved up studying for six days and now I am trying to get back to track anyways ... The equation is a linear equation : f(x)=-x-11 with the following
1.4f(-2)+5f(1)
2.-5f(12)-2f(-9)
3. 3f(5)x f(2)
4.f(9)/f(-6)

Answers

Answer:

4 I promise

jhjhhhhjjj bug check txt TC gym c rectify txt

Answer is 3, not exactly positive though

The segment AC is?
A- the adjacent
B- the hypotenuse
C- The opposite
D- The tangent

Answers

Answer:

B

Step-by-step explanation:

the hypotenuse........

Answer:

B

Step-by-step explanation:

The hypotenus is always opposite to the right and angle and always the longest side

Find the margin of error if p = 71% and n = 100. round to four decimal places.

0.2204
0.0041
0.0848
0.0908

Answers

Using the z-distribution, it is found that the margin of error for the 95% confidence interval is of 0.0889.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The estimate and the sample size are given as follows:

[tex]\pi = 0.71, n = 100[/tex]

Hence, the margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.71(0.29)}{100}}[/tex]

M = 0.0889.

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True or false: f(x) represents a function.
A. True
B. False

Answers

Answer:

A.) True

Step-by-step explanation:

A set of outputs and inputs becomes a function when there is only one output per input. In this case, each "x" value only has one "y" value, making it a function.

David's phone battery level drops 6 percentage points each hour when he is not playing a game on it. When David does play a game on his phone, the phone battery level drops 18 percentage points each hour. On a particular day, the phone battery level was at 100 percentage points at 12:00 noon and at 22 percentage points at 6:00 P.M. If David did not charge his phone during this time, how many hours did he spend playing the game between 12:00 noon and 6:00 P.M. on that day

Answers

The number of hours he spent playing the game between 12:00 noon and 6:00 P.M. on that day will be 3.5 hours.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

David's phone battery level drops 6 percentage points each hour when he is not playing a game on it.

When David does play a game on his phone, the phone battery level drops 18 percentage points each hour.

On a particular day, the phone battery level was at 100 percentage points at 12:00 noon and at 22 percentage points at 6:00 P.M.

If David did not charge his phone during this time.

Then the number of hours he spent playing the game between 12:00 noon and 6:00 P.M. on that day will be

Let x be the number of no gaming hours and y be the number of gaming hours.

Then the equation will be

6x + 18y = 100 - 22

6x + 18y = 78

  x + 3y = 13 ...1

    x + y = 6 ...2

By solving the equations 1 and 2, we have

x = 2.5 hours and y = 3.5 hours

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Product of square of x and cube of y​

Answers

Since the square root of

x=√x

and the cube root of

x=3√x

and their product

=√x × 3√x

= x1/2 × x1/3 [Since, n√a =a 1/n]

=x1/2+1/3 [Since, a^m ×a^n =a^m+n]

=x^3+2 /6

= x 5/6

Therefore, required product is

=√6x5

Answer:

[tex]x^2y^3[/tex]

Step-by-step explanation:

[tex]\text{Square of}~ x =x^2\\\\\text{Cube of}~ y = y^3\\\\\text{Product} = x^2y^3[/tex]

Write each of the following products in standard form. Show the work that
leads to your final answers.
(a) (x+8)(2x-3)
(b) (x-5)²

Answers

[tex]\textbf{a)}\\\\~~~(x+8)(2x-3)\\\\=2x^2 -3x + 16x - 24\\\\=2x^2 +13x -24\\\\\textbf{b)}\\\\~~~(x-5)^2\\\\=(x-5)(x-5)\\\\=x^2 -5x -5x+25\\\\=x^2 -10x +25[/tex]

A store sells almonds for $7 per pound, cashews for $10 per pound, and walnuts for $12 per pound. A customer buys 12 pounds of mixed nuts consisting of almonds, cashews, and walnuts for $118. The customer buys 2 more pounds of walnuts than cashews. The matrix below represents this situation.
If the reduced row echelon form of this matrix represents the amount of each type of nut the customer buys, which statement is a possible interpretation of the results?

Answers

One possible interpretation of the results is that the customer buys 6 pounds of almonds, 4 pounds of cashews, and 2 pounds of walnuts to achieve a total cost of $118.

To determine the amount of each type of nut the customer buys, we can set up a system of equations based on the given information.

Let's use the variables:

A = pounds of almonds

C = pounds of cashews

W = pounds of walnuts

From the given information, we can create the following equations:

A + C + W = 12 (since the customer buys a total of 12 pounds of mixed nuts)

7A + 10C + 12W = 118 (since the total cost of the nuts is $118)

W = C + 2 (since the customer buys 2 more pounds of walnuts than cashews)

We can now represent this system of equations as a matrix:

[1   1   1   12]

[7   10  12  118]

[0   -1  1   2]

To find the reduced row echelon form of this matrix, we can use Gaussian elimination or a similar method. Solving the system of equations represented by the matrix, we obtain the following reduced row echelon form:

[1   0   2   6]

[0   1   -3  4]

[0   0   0   0]

Now, let's interpret the results:

From the reduced row echelon form, we can deduce that there are infinitely many solutions to this system of equations. This means that there are multiple possible combinations of almond, cashew, and walnut quantities that satisfy the given conditions.

One possible interpretation of the results could be that the customer buys 6 pounds of almonds, 4 pounds of cashews, and 0 pounds of walnuts. This satisfies the equation A + C + W = 12, and the total cost of nuts is $7 * 6 + $10 * 4 + $12 * 0 = $42 + $40 + $0 = $82. However, since the given total cost is $118, this interpretation is not valid.

Another possible interpretation could be that the customer buys 6 pounds of almonds, 4 pounds of cashews, and 2 pounds of walnuts. This satisfies all the given conditions. The equation A + C + W = 12 holds true, and the total cost is $7 * 6 + $10 * 4 + $12 * 2 = $42 + $40 + $24 = $106, which matches the given total cost of $118.

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To convert a distance between miles and feet, you can use the equation f=5280m. In this equation, what is the role of f

Answers

F represents the number of feet while m represents the number of miles

justify whether the solution makes sense.
a. Are the two triangles similar?
b. How do you know? Justify.

Answers

Answer:

They are identical triangles.

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

The triangle with 39 and 90 has a missing angle of 51 degrees, and the triangle with 51 and 90 vice versa.

let's answer it

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

it's

( identical triangle)

by #galadohannadivine29

Solve for g.
-15 + 3g = 2g
g =?

Answers

-15= 2g-3g
-15= -g
g= 15


Hope this helps

Answer:

g = 15

Step-by-step explanation:

Rearrange unknown terms to the left side of the equation: 3g - 2g = 15

Combine like terms: g = 15

Answer: g = 15

When a number is halfway between two multiples of one hundred, round to _____.
A. zero
B. the smaller multiple
C. the nearest fifty
D. the larger multiple

Answers

Answer:

D. The larger multiple

Step-by-step explanation:

n7nj7j

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