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4 years ago

9

A towns population grew from 7500 people to 8210 over the span of 10 years. By how many people did the population grow in those

10 years?

1 answer:

mojhsa [17]4 years ago

5 0

710

8210 - 7500 = 710

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Which is the correct way to solve the given equation

Karolina [17]

Option 2. $x = \frac{4 \pm \sqrt{(-4)^{2}-4 (1)(-21)}}{2 (1)}$ shows the correct way to use the quadratic formula to solve the given equation.

Step-by-step explanation:

Step 1:

For an equation of the form $ax^{2} +bx+c=0$ the solution is $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ .

Here a is the coefficient of $x^{2}$ , b is the coefficient of x and c is the constant term.

$x^{2} -4x=21$ can also be written as $x^{2} -4x-21=0.$

Comparing $x^{2} -4x-21=0$ with $ax^{2} +bx+c=0$ , we get that a is 1, b is -4 and c is -21.

To get the solution, we substitute the values of a, b, and c in $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ .

Step 2:

Substituting the values, we get

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}= \frac{-(-4) \pm \sqrt{(-4)^{2}-4 (1)(-21)}}{2 (1)}.$

$\frac{-(-4) \pm \sqrt{(-4)^{2}-4 (1)(-21)}}{2 (1)} = \frac{4 \pm \sqrt{(-4)^{2}-4 (1)(-21)}}{2 (1)}.$

This is option 2.

7 0

4 years ago

Help on math! thanks!

icang [17]

Answer:

A

Step-by-step explanation:

covert to slope intercept form

x-y=2

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y=x-2

6 0

3 years ago

Read 2 more answers

What is the sum of the third multiple of four and the third multiple of five

podryga [215]

4•1=4, 4•2=8, 4•3=12, so the third multiple of four is 12. 5•1=5, 5•2=10, 5•3=15, so that means the third multiple of five is 15. Add 12 & 15 together and the answer to your problem is 27.

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4 years ago

Anita is eating popcorn at the movies. She eats 24 kernels in 10 minutes and 72 kernels in 30 minutes. Which TWO other ratios ca

Neporo4naja [7]

Answer:

$\dfrac{96}{40}$ and $\dfrac{120}{50}$

Step-by-step explanation:

24 kernels in 10 minutes

In 1 minute she can eat $\dfrac{24}{10}=\dfrac{12}{5}\ \text{kernels}$

let $x$ be the number of popcorn and minutes so the rate of eating popcorn is of the form

$\dfrac{x12}{x5}$

So, when $x = 6$ we get

$\dfrac{6\times12}{6\times 5}=\dfrac{72\ \text{kernels}}{30\ \text{minutes}}$

$x$ can be any real number

$\dfrac{10\times 12}{10\times 5}=\dfrac{120\ \text{kernels}}{50\ \text{minutes}}$

$\dfrac{8\times 12}{8\times 5}=\dfrac{96\ \text{kernels}}{40\ \text{minutes}}$

Other two ratios can be $\dfrac{96}{40}$ and $\dfrac{120}{50}$ .

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3 years ago

Help me solve this plzz

AysviL [449]

A function is a mapping from a set A to a set B, If, for all a1,a2 in A, where a1=a2, a1 and a2 get mapped to the same b in B

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3 years ago