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1 year ago

What is the solution set to the equation 4(x+3)(x-2)=0

1 answer:

4 0

To simplify, let’s distribute the 4 through the first binomial:

4(x+3)=4x+12

We now have the equivalent equation:

(4x+12)(x-2)=0

We can apply the zero product property which states that if a•b=0, then a=0 or b=0:

4x+12=0

Solve for x:

4x=-12

x=-12/4

x=-3

(x-2) may also equal zero, so let’s find x that would equate to zero:

x-2=0

Solve for x:

x=2

Therefore the solution is: x = -3, 2

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75% of something = 342<br>Need answer quick

Ostrovityanka [42]

The answer is 456

This the answer 456

8 0

3 years ago

A sample of 250 people resulted in a confidence interval estimate for the proportion of people who believe that the federal gove

bagirrra123 [75]

Answer: Approximately 79 Percent

Step-by-step explanation:

The confidence level used in this estimation is approximately 79 percent.

3 0

3 years ago

A pharmaticeutical company is making a new medicine capsule shaped like a cylinder with a half sphere at each end. The

DerKrebs [107]

Answer:

339.12 cubic millimeters

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The volume of the figure is equal to the volume of the two hemispheres (one sphere) plus the volume of the cylinder

step 1

Find the volume of the cylinder

The volume is given by

$V=Bh$

where

B is the area of the base of cylinder

h is the height of cylinder

we have

$B=\pi r^{2}$

we have

$h=8\ mm$

$r=6/2=3\ mm$ ----> the radius is half the diameter

$B=(3.14)(3)^{2}$

$B=28.26\ mm^2$

substitute

$V=(28.26)(8)=226.08\ mm^3$

step 2

Find the volume of the sphere

The volume is given by

$V=\frac{4}{3}\pi r^{3}$

we have

$r=6/2=3\ mm$ ----> the radius is half the diameter

substitute

$V=\frac{4}{3}(3.14)(3)^{3}=113.04\ mm^3$

step 3

Adds the volumes

$226.08+113.04=339.12\ mm^3$

6 0

3 years ago

Evaluate f(x) = 2|x – 5| for f(–5) and f(0).

Elanso [62]

Answer:

f(–5) = 20, f(0) = 10

Step-by-step explanation:

f(-5):

f(-5) = 2|-5 -5|

f(-5) = 2|-10|

f(-5) = 2(10)

f(-5) = 20

f(0):

f(0) = 2|0 - 5|

f(0) = 2|-5|

f(0) = 2(5)

f(0) = 10

7 0

3 years ago

Lola is saving money for a new bike. The first month, she saves $50 from her birthday. Lola plans to save $10 per month thereaft

weqwewe [10]

So this can be translated like the following:
Bike costs= 173 dollars She currently has 107. She saves 11 dollar per week to get the bike so the formula is:
173 = 107 + 11X where X is the number of weeks

Step 1: bring the 107 to the other side to get 173-107 = 11X
Step 2: divide both sides by 11 to solve for X to get this (173-107 )/11 = X
Step 3: Calculate and simplify 66 / 11 = X which is the same as X= 6

So the answer is it will take jennifier 6 weeks to save for the bike.

8 0

3 years ago