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2 years ago

What are the solutions to the equation 3(x – 4)(x + 5) = 0?

2 answers:

7 0

First you distribute the 3
(3x-12) (x+5)=0
then you set each equation equal to zero
3x-12=0 & x+5=0
then you solve for x
x =4, -5

allochka39001 [22]2 years ago

4 0

Answer:

-5, 4

Step-by-step explanation:

the solutions to the equation $3(x - 4)(x + 5) = 0$

To solve for x we set each factor =0 and solve for x

$3(x-4)=0$

divide each term by 3

$(x-4)=0$

Add 4 on both sides

$x=4$

$x+5=0$

Subtract 5 on both sides

$x=-5$

So x values are -5 and 4

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1.) Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth .x squared minus 21 x equals n

Andrew [12]

Part 1
We are given $x^2-21x=-4x$ . This can be rewritten as $x^2-18x=0$ .
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-\left(-18\right)\pm \sqrt{\left(-18\right)^2-4\left(1\right)\left(0\right)}}{2\left(1\right)}$
$x=\frac{18\pm 18}{2}$

The values of x are
$x_1=\frac{18-18}{2}=0$
$x_2=\frac{18+18}{2}=18$

Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function.

Part 3.
The first equation is $y=x^2+2$ .
The second equation is $y=3x+20$ .

We have
$x^2+2=3x+20$
$x^2-3x-18=0$
Factoring, we have
$\left(x-6\right)\left(x+3\right)=0$
Equating both factors to zero.
$x_1-6=0\rightarrow x_1=6$
$x_2+3=0\rightarrow x_2=-3$

When the value of x is 6, the value of y is
$y=3\left(6\right)+20=38$

When the value of x is -3, the value of y is
$y=3\left(-3\right)+20=11$

Therefore, the solutions are (6,38) or (-3,11)

7 0

2 years ago

Pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls help T^T

harkovskaia [24]

Answer:

5 units

Step-by-step explanation:

Count the boxes between C and D

4 0

2 years ago

Parker is laying pavers to build a patio in his backyard. Each square paver measures 2 feet on each side. He would like the pati

MatroZZZ [7]

Answer:

32 pavers

Step-by-step explanation:

step 1

Find out the area of one square paver

The area of a square is

$A=s^{2}$

where

s is the length side of the square

we have

$s=2\ ft$

substitute

$A=2^{2}\\A=4\ ft^{2}$

step 2

Find out the area of the rectangular patio

we know that

The area of a rectangle is

$A=LW$

we have

$L=16\ ft\\W=8\ ft$

substitute

$A=(16)(8)\\A=128\ ft^2$

step 3

Find out the number of pavers needed to build the patio

Divide the area of the rectangular patio by the area of one paver

$128\ ft^2/4\ ft^{2}=32\ pavers$

5 0

3 years ago

PLEASE HELP!!

Musya8 [376]

Answer:

x = - 33

Step-by-step explanation:

Given

$\frac{2}{3}$ (x + 6) = - 18

Multiply both sides by 3 to clear the fraction

2(x + 6) = - 54 ( divide both sides by 2 )

x + 6 = - 27 ( subtract 6 from both sides )

x = - 33

6 0

3 years ago

Read 2 more answers

Solve for the missing angles and side lengths A= 20 degrees, b=4 a = 4.5 Find the measure of C

Reil [10]

Answer:

Its 142

Step-by-step explanation:

Theres a website called triangle calculator and you put in three things wether its SSA or ASA or whatever and it gives you all the measurements. Good luck on your quizzes and tests :)

6 0

2 years ago