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2 years ago

7. The graph was made to compare the costs of renting copy machines

Mathematics

1 answer:

AysviL [449]2 years ago

7 0

The information given by the point of intersection of the two lines is (d) the number of copies for which the total cost per month is the same for both companies

<h3>How to interpret the point of intersection </h3>

The point of intersection is the equilibrium point of both companies.

This means that, the point represents where the number of copies and the total cost per month for both companies is equal

Hence, the information given by the point of intersection of the two lines is (d)

Read more about point of intersection at:

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If two points on a line are A(10, −3) and B(12, 9), the rise is __________, and the run is __________, so the slope of the line

kherson [118]

The <u>rise</u> is the difference in y-coordinates:

y₂ - y₁ = 9 - (-3) = 12

The <u>run</u> is the difference in x-coordinates:

x₂ - x₁ = 12 - 10 = 2

The <u>slope</u> is the quotient of rise over run:

m = 12/2 = 6

========================

If two points on a line are A(10, −3) and B(12, 9), the rise is <u>12</u>, and the run is <u>2</u>, so the slope of the line is <u>6</u>.

7 0

1 year ago

Your friend has $90 when he goes to the fair. He spends $5 to enter the fair and $15 on food. Rides at the fair cost $1.50 per r

Maksim231197 [3]

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that ,

Total money he takes while going to the fair = $90

Money he spends to enter the fair = $5

Money he spends on food =$15

Total he spent now is given by

$\$5+\$15=\$20$

Now, he spend on rides at the fair i.e. 1.50 per ride .

Let the number of rides be x

So, cost incurred on rides = 1.5x

So, the spending money can be expressed as

$20+1.50x$

Now, remaining money left to him after spending on x rides too is

$90-(1.50x+20)\\\\=90-1.50x-20\\\\=70-1.5x$

Let f(x) denotes the function used to determine the money he has left over after rides .

So it becomes

$f(x)=70-1.50x\\\\f(x)=-1.50x+70$

3 0

2 years ago

Read 2 more answers

8 to the power 1/6 times 2 to the power x equals 32 to the power 1/2

Elza [17]

The exact value of x is 2.

<h3>What is linear equation?</h3>

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. This is sometimes referred to as a "linear equation with two variables," where y and x are the variables.

8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾

32⁽¹/²⁾ = 2⁵⁽¹/²⁾

32⁽¹/²⁾ = 2⁽⁵/²⁾

8⁽¹/⁶⁾ = 2³⁽¹/⁶⁾

8⁽¹/⁶⁾ = 2⁽¹/²⁾

8⁽¹/⁶⁾ x 2ˣ = 2⁽¹/²⁾ x 2ˣ

= 2⁽¹/²⁾+ˣ

= 2⁽¹/²+ˣ⁾

since 8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾

= 2⁽⁵/²⁾

2⁽¹/²+ˣ⁾ = 2⁽⁵/²⁾

equate the powers

1/2+ x = 5/2

subtract 1/2 from both sides

x = 5/2 - 1/2

x = (5-1)/2

x = 4/2

x= 2

Therefore, x = 2 is the exact value of x.

To know more about linear equation, visit:

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4 0

9 months ago

Adelle solved the equation 4x/7 -6= -20 as shown. Fill in the correct justification for each step. [ Look at the picture. Please

grigory [225]

Answer:

2)add both sides by 6

3) multiply both sides by 7

4)divide both sides by 4

Step-by-step explanation:

7 0

2 years ago

N + 5<br> 17)<br> = -1<br> -16<br> PLS HELP

Temka [501]

Answer:

n = (-534)

NOTE**

Dont put the parenthesis- they are optional

7 0

2 years ago