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2 years ago

15

Just need help with this question! :)

1 answer:

IceJOKER [234]2 years ago

4 0

I think it’s the Third one
Hopefully it helps

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Which are solutions of x2 + 5x = 2? Check all that apply.

ANEK [815]

we have

$x^{2} +5x=2$

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^{2} +5x+2.5^{2}=2+2.5^{2}$

$x^{2} +5x+6.25=2+6.25$

$x^{2} +5x+6.25=8.25$

Rewrite as perfect squares

$(x+2.5)^{2}=8.25$

Square Root both sides

$(x+2.5)=(+/-)\sqrt{8.25}$

$x=(+/-)\sqrt{8.25}-2.5$

$\sqrt{8.25}=\frac{\sqrt{33}}{2}$

substitute

$x=(+/-)\frac{\sqrt{33}}{2}-2.5$

therefore

<u>the answer is</u>

the solutions are

$x1=-2.5+\frac{\sqrt{33}}{2}$ or $x1=\frac{-5+\sqrt{33}}{2}$

$x2=-2.5-\frac{\sqrt{33}}{2}$ or $x2=\frac{-5-\sqrt{33}}{2}$

7 0

3 years ago

Read 2 more answers

What is the next term of the geometric sequence? 4/9, -4/3, 4

andreev551 [17]

Answer:

-12

Step-by-step explanation:

To find the ration, take the second term and divide by the first term

-4/3 ÷ 4/9

Copy dot flip

-4/3 * 9/4

-3

Multiply each term by -3

4*-3 =-12

5 0

3 years ago

2(x - y) in its distributed form is

pochemuha

Answer:

2x-2y

Step-by-step explanation:

2 times x = 2x

2 times -y = -2y

7 0

3 years ago

A police officer would like to estimate the proportion of petty theft cases that have gone unsolved in a large city. He takes a

nata0808 [166]

Answer:

$0.625 \pm 1.645*0.0571$

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

$\pi$ is the estimate

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ , also called the critical value.

The standard error is:

$s = \sqrt{\frac{\pi(1-\pi)}{n}}$

90% confidence level critical value

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.955$ , so $z = 1.645$ .

Estimate:

72 petty theft cases and finds 45 of these have gone unsolved.

So $\pi = \frac{45}{72} = 0.625$

Standard error:

$s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.625*0.375}{72}} = 0.0571$

Answer:

$0.625 \pm 1.645*0.0571$

7 0

2 years ago

The ground temperature at an airport is 12 °C. The temperature decreases by 5.4 °C for every increase of 1 kilometer above the g

olga_2 [115]

Decrease in the temperature: 5.4×5=27°C

Final temperature: 12-27=-15°C

6 0

3 years ago