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3 years ago

Is Y=7.5x proportional or non proportional

Mathematics

2 answers:

Reptile [31]3 years ago

7 0

Proportional
You just take number and add

kipiarov [429]3 years ago

4 0

Hi , the answer is proportional , every time when you see an equation that has the Y first then a number next to a x , that equation tells you that there is a proportional relationship.
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A circle has a circumference of 28.26 units. What is the diameter of the circle?

Karolina [17]

Answer:

The diameter of the circle is 9.

Step-by-step explanation:

Because circumference is equal to $\pi$ * d, we can backtrack and use this equation to find diameter. Let's say $\pi$ is equal to 3.14.

28.26 = 3.14d

Divide both sides by 3.14.

9 = d

The diameter of the circle is 9.

6 0

3 years ago

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

alexira [117]

Answer:

Option B

Step-by-step explanation:

Given quadratic equation is,

12a² + 9a + 7 = 0

By comparing this equation with standard quadratic equation,

hx² + kx + c = 0

h = 12, k = 9 and c = 7

By using quadratic formula,

a = $\frac{-k\pm\sqrt{k^2-4hc}}{2h}$

= $\frac{-9\pm\sqrt{9^2-4(12)(7)}}{2(12)}$

= $\frac{-9\pm\sqrt{81-336}}{2(12)}$

= $\frac{-9\pm\sqrt{-255}}{24}$

= $\frac{-9\pm i\sqrt{255}}{24}$

a = $\frac{-9+ i\sqrt{255}}{24},\frac{-9- i\sqrt{255}}{24}$

Therefore, Option B will be the correct option.

3 0

2 years ago

When a barrel is 30% empty it

blondinia [14]

Answer:

it is 70% full

Step-by-step explanation:

When it is 30 % empty it means it is 70% full

0.7x=0.3x+30

0.7x-0.3x=30

5 0

2 years ago

Arrange these functions from the greatest to the least value based on the average rate of change in the specified interval.

Romashka [77]

By definition, the average change of rate is given by:
$AVR = \frac{f(x2)-f(x1)}{x2-x1}$
We will calculate AVR for each of the functions.
We have then:

f(x) = x^2 + 3x interval: [-2, 3]:
$f(-2) = x^2 + 3x = (-2)^2 + 3(-2) = 4 - 6 = -2

f(3) = x^2 + 3x = (3)^2 + 3(3) = 9 + 9 = 18$
$AVR = \frac{-2-18}{-2-3}$
$AVR = \frac{-20}{-5}$
$AVR = 4$

f(x) = 3x - 8 interval: [4, 5]:
$f(4) = 3(4) - 8 = 12 - 8 = 4 f(5) = 3(5) - 8 = 15 - 8 = 7$
$AVR = \frac{7-4}{5-4}$
$AVR = \frac{3}{1}$
$AVR = 3$

f(x) = x^2 - 2x interval: [-3, 4]
$f(-3) = (-3)^2 - 2(-3) = 9 + 6 = 15

f(4) = (4)^2 - 2(4) = 16 - 8 = 8$
$AVR = \frac{8-15}{4+3}$
$AVR = \frac{-7}{7}$
$AVR = -1$

f(x) = x^2 - 5 interval: [-1, 1]
$f(-1) = (-1)^2 - 5 = 1 - 5 = -4

f(1) = (1)^2 - 5 = 1 - 5 = -4$
$AVR = \frac{-4+4}{1+1}$
$AVR = \frac{0}{2}$
$AVR = 0$

Answer:
these functions from the greatest to the least value based on the average rate of change are:
f(x) = x^2 + 3x
f(x) = 3x - 8
f(x) = x^2 - 5
f(x) = x^2 - 2x

5 0

3 years ago

Use the numbers 2, 3, 4, and 5 and the symbols + and = to write a true math sentence

ArbitrLikvidat [17]

Answer:

3+4 = 5+2

Step-by-step explanation:

They equal each other when they are added up.

6 0

3 years ago