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2 years ago

How does the volume of a cone change if its radius and height are both tripled

1 answer:

6 0

The volume formula could be re-written to help understand this, as V = π*3r^2*3h. If you solve for this, you can conclude that the volume would be multiplied by 27.

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Given f(x) = 2x^2 - 5x, determine the value of f(4).

jeyben [28]

Answer:

Step-by-step explanation:

f(x) = 2x^2 - 5x

Let x=4

f(4) = 2 (4)^2 -5(4)

Exponents first

= 2*16 -5*4

Multiply

=32 -20

subtract

=12

5 0

3 years ago

Samantha needs 4/5 yard of fabric to make costumes for the school play. Write and solve and equation to find how many costumes s

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

Samantha needs 4/5 yard of fabric to make costumes for the school play.

Let x represent the number of yards of fabric that she has

Let y represent the total number of costumes that she can make from x yards of fabric.

Since one costume require 4/5 yards of fabric, y costumes will require

x ÷ 4/5 = x×5/4 = 5x/4

The equation will be

y = 5x/4

to find how many costumes she can make with 8 yards of fabric, it becomes

y = (5×8)/4

y = 40/4 = 10

5 0

2 years ago

Help I’m rly stuck plzzzzzzz help I’m dying to get through this question I’ll do anything !!!!

Mashutka [201]

Answer:

you answer is 2 because 2 - 6 is -4

8 0

2 years ago

Read 2 more answers

I only need 12 and 17, first good response i will give brainliest please i’m desperate

Mumz [18]

Answer:

$\textsf{12.} \quad y = 6x - 5$

$\textsf{17.} \quad y=-\dfrac{1}{4}x-2$

Step-by-step explanation:

<h3>Question 12</h3>

Find the slope of the line by substituting two points from the given table into the slope formula.

Define the points:

Let (x₁, y₁) = (2, 7)
Let (x₂, y₂) = (3, 13)

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{13-7}{3-2}=\dfrac{6}{1}=6$

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:

$\implies y-y_1=m(x-x_1)$

$\implies y-7=6(x-2)$

$\implies y-7=6x-12$

$\implies y=6x-5$

<h3>Question 17</h3>

Given:

f(4) = 3
f(0) = -2

Therefore, two points on the line are:

(4, -3)
(0, -2)

The y-intercept is the y-value when x = 0.

Therefore, the y-intercept of the line is -2.

$\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}$