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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If you remove the last digit (one’s place) from a 4-digit whole number, the resulting number is a factor of the 4-digit number.

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Answer:

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Step-by-step explanation:

We assume that your 4-digit number must be in the range 1000 to 9999. Clearly, any number ending in zero will meet your requirement:

1000/100 = 10

3890/389 = 10

However, the requirement cannot be met when the 1s digit is other than zero.

For some 3-digit number N and some 1s digit x, the 4-digit number will be

4-digit number: 10N+x

Dividing this by N will give ...

(10N+x)/N = 10 remainder x

N will only be a factor of 10N+x when x=0.

So, there are 900 4-digit numbers that meet your requirement. They range from 1000 to 9990.

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Jason is planning on retiring after 25 years of employment. For the last three years he

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Jason's monthly pension is the product of the final three-year average salary is $32,625. Then the correct option is C.

<h3>What is a monthly pension?</h3>

Jason is planning on retiring after 25 years of employment.

For the last three years he has made $60,000; $56,000; and $58,000.

His employer offers a defined benefit plan in which the annual pension is calculated as the product of the final three-year average salary, the number of years of service, and a 2.25% multiplier.

Then Jason's monthly pension will be

$\rm Monthly \ pension = \dfrac{(60,000+56,000+58,000)}{12} \times 2.25\\\\Monthly \ pension = 14500 \times 2.25\\\\Monthly \ pension = \$ \ 32,625$