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ddd [48]
3 years ago
5

The table represents a linear function. What is the slope of the function?

Mathematics
1 answer:
TEA [102]3 years ago
3 0

Answer:

-4

Step-by-step explanation:

The function is linear; therefore, the slope of the line joining any two points is the same.

We take any two points from the table and compute the slope or  rise/ run between them— let is take points (-4, -2) and (-2, -10).

The slope m of the line joining the points is

m=\dfrac{\Delta y }{\Delta x } =\dfrac{-2-(-10)}{-4-(-2)} \\\\\boxed{m=-4}

The slope of the function is -4.

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stellarik [79]

Answer:

f(2)=g(0) and f(0)=g(4)

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5 0
3 years ago
Carlo and Helen spend the same amount of money on art supplies. Carlo buys 4 glue sticks and spends $3 on glitter. Helen buys 2
Veseljchak [2.6K]

<u>Answer:4.75</u>

<u>Since we don't have a total cost we will write an equation that will allow us to find the cost of x. The equation is 4x= 2x + $3 + $3.75 + $2.75. Now that we have our equation we are going to start by adding 3, 3.75, and 2.75. When added together, they come out with a total of 9.5. Now the equation becomes 4x= 2x + $9.50. Since we have our new equation we are going to subtract 2x from both sides of the equation. We now have the equation 2x= $9.50. Finally, you will divide both sides by 2. This leaves us with the final outcome x= $4.75. This means that one glues stick cost $4.75. Let's check by substituting $4.75 as the value of x in the expressions 4x is Carlo's total and 2x + $3 + $3.75 + $2.75 is Helen's total. First we do 4x, 4 multiplied by 4.75 equals 19, so Carlo spent $19 on art supplies. Now we do 2x + $3 + $3.75 + $2.75, which is 9.5 added to 9.5 and equals 19. So Helen spent $19 on art supplies. This proves that the cost of one glue stick, x, is equal $4.75.</u>

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4 0
2 years ago
Drag the values to order them from least to greatest, with the least at the top.
GuDViN [60]

\bf 4\pi \qquad \approx \qquad 12.57 \\\\[-0.35em] ~\dotfill\\\\ \sqrt{79}+\sqrt{63}\qquad \approx \qquad 8.89 + 7.94\implies 16.83 \\\\[-0.35em] ~\dotfill\\\\ \sqrt{143}\qquad \approx \qquad 11.96 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{11.96}{\sqrt{143}}\qquad \stackrel{12.57}{4\pi }\qquad \stackrel{16.83}{\sqrt{79}+\sqrt{63}}~\hfill

6 0
3 years ago
Read 2 more answers
Jamal is comparing his transportation options for an upcoming trip. He’s considering a rental car and a taxi service. Based on h
ZanzabumX [31]

Answer:

The range of rental car rates that would be cheaper for Jamal than the taxi service is given by,

A ={x| 0 ≤ x < 26}  [where x is in dollar]

Step-by-step explanation:

Let, the car rental rate be  $ x per day .

Jamal's trip will last for 4 day.

He expects to pay $ 24 for gas  (if he rents the car)

He expects a  taxi service would cost about $ 128

So, for the rental car option to be cheaper than the taxi option, the following inequality must follow,

128 > 24 + 4x

⇒ 4x < 104

⇒ x < 26

So, the range of rental car rates that would be cheaper for Jamal than the taxi service is given by,

A ={x| 0 ≤ x < 26} [where x is in dollar]

3 0
3 years ago
What is the value of -2.12 - 6.84 + 4.19?
hodyreva [135]

Answer:

Try 8.91

Step-by-step explanation:

6.84+4.19=11.03-2.12=8.91

8 0
3 years ago
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