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pentagon [3]
3 years ago
10

Is this relationship linear, exponential, or neither ?

Mathematics
1 answer:
Dovator [93]3 years ago
6 0

Exponential

Step-by-step explanation:

So let’s start off by looking at how much x is growing by each time

X is growing by 8 each time

Next look at how much y is growing by

-6 to -24 is a difference of 18

-24 to -96 is a difference of 72

And lastly -96 to -384 is a difference of 288

So we can now say that it is not linear because a linear equation grows by a constant number (like adding)

To determine if it is exponential see if it is growing by a constant multiplier

24 divided by 6 is 4

96 divided by 24 is 4

384 divided by 96 is 4

It is exponentially growing by 4

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What is the equation of (0,2) and (3,0)
ivolga24 [154]
Let's first find the slope. This is (y_2 - y_1)/(x_2 - x_1), where (x_1, y_1) and (x_2, y_2) are points.

For this problem, our slope is (0 - 2)/(3 - 0) = -2/3.

We can now use the point-slope formula to find the equation of our line:
(y - y_1) = m(x - x_1)
(y - 2) = -2/3(x - 0)
y - 2 = (-2/3)x
y = (-2/3)x + 2

The equation of our line is \boxed{y = -\frac{2}{3}x + 2}.


8 0
3 years ago
Missy took a math test and got 35 correct and 10 incorrect. What was the percentage of correct answers?(round to the nearest hun
UNO [17]

Answer:

77.77 or 78%

Step-by-step explanation:

She got 35/45 so

35 divided by 45 is 0.777777778

0.777777778 x 100 = 77.7777778

77.77% or 78%

3 0
3 years ago
Please select the best answer from the choices provided
Ira Lisetskai [31]

<u>Answer:</u>

The correct answer option is c. \frac{1}{9a^2}.

<u>Step-by-step explanation:</u>

We are given an expression (27a^{-3})^{-\frac{2}{3} } and we are supposed to simplify it.

We can also write (27a^{-3})^{-\frac{2}{3} } as (\frac{3^3}{a^3} )^{-\frac{2}{3} }.

We know the power rule (a^m)^n=a^{mn} which means that to raise a power to a power you need to multiply the exponents.

So multiplying the exponents to get:

\frac{3^{(3.-\frac{2}{3})} }{a^{(3.\frac{2}{3})} }\\\\\frac{3^{-2}}{a^2}\\ \\\frac{1}{3^2a^2} \\\\\frac{1}{9a^2}

Therefore, the correct answer option is c. \frac{1}{9a^2}.

4 0
3 years ago
Megan makes $480 a week and her boss wanted to give her
wel

Answer:

$537.60

Step-by-step explanation:

12% increase is the same as multiplying by 1.12, 480*1.12=537.60

5 0
3 years ago
3 pizzas for $24.99_______________ cost of each pizza
Lena [83]

Answer:

$8.33

Step-by-step explanation:

24.99 ÷ 3 = 8.33

3 0
3 years ago
Read 2 more answers
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