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4 years ago

Find the zeros of y = 3x^2+3x

1 answer:

4 0

The zeros of y = 3x^2+3x means to solve for the values of x when y = 0

 y = 3x²+ 3x =0

y = 3x²+3x = 0

3x²+3x = 0 Factorize

3x(x + 1) = 0

3x = 0, or (x + 1) = 0

From 3x = 0, x = 0/3 =0

From (x + 1) = 0, x = 0 -1 = -1.

Therefore the zeros are 0 and -1.

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If the area of the right triangle is 72 what is the value of x

wel

36 i guess ha please that not right

8 0

3 years ago

Mario is constructing a frame for 10 in. by 8 in. photo. He wants the frame to be the same with all the way around in the same a

Yuri [45]

Answer: 12 in. by 10 in.

Step-by-step explanation:

Given: The dimensions of photo is 10 in. by 8 in.

Therefore, Area of photo= $10\times8=80\ in.^2$

Area of frame with photo=120 square inches

Let x be the width of the frame, then we have

Length of frame with photo= 10+2x inches

Width of frame with photo =8+2x inches

Now, $(10+2x)(8+2x)=120$

$80+16x+20x+4x^2=120\\\Rightarrow\ 4x^2+36x-40=0\\\Rightarrowx^2+9x-10=0\\\(x-1)(x+10)=0\\\Rightarrow\ x=1,...........[text{Since length can not be negative so it cannot be -10}]$

Thus, dimension of frame = $(10+2(1))(8+2(1))=12\ in.\ by\ 10\ in.$

5 0

4 years ago

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE

Furkat [3]

Answer:

x = -6 and x = 4

Step-by-step explanation:

In math, the critical points of a function are the points where the derivative equals zero.

So, first we will find the derivative of the function. The derivative is:

$f'(x)=3x^2 +6x-72$

Now, we are going to make the derivative equal zero and find the answers of the equation.

$3x^2 +6x-72=0\\3(x^2 +2x-24)=0\\3(x+6)(x-4)=0\\$

So we have that the critical points are the answers to this equation:

$x+6= 0 \\x= - 6$

and

$x-4=0\\x=4$

Thus, the critical points are x=-6 and x=4

8 0

3 years ago

A rectangle has a height of 2 and a width of 5x^2-2x+3

nevsk [136]

Step-by-step explanation:

$area = 2(5 {x}^{2} - 2x + 3) \\ = 10 {x}^{2} - 4x + 6$

Answer:

$10 {x }^{2} - 4x + 6$

5 0

3 years ago

Which explanation justifies how the area of a sector of a circle is derived?

nignag [31]

The sector of a circle is drawn by drawing two radii intercepting an arc. The area of the sector is calculated by calculating first the area of the whole circle. Then, this value is multiplied by the ratio the measure of the intercepted arc to one whole revolution. The answer to this item is the THIRD OPTION.

3 0

3 years ago