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pogonyaev
3 years ago
13

What are the roots of the quadratic equation x2+2x=-5

Mathematics
1 answer:
stiks02 [169]3 years ago
5 0

Answer:

x = -1 +/-2i

Step-by-step explanation:

Write the equation in standard form to find the roots, also known as the solutions, zeros, or x-intercepts, of the quadratic.

x² + 2x + 5 = 0

Use the quadratic formula by substituting a= 1, b = 2 and c = 5.

x = \frac{-2 +/- \sqrt{(-2)^2 - 4(1)(5)} }{2(1)} = \frac{-2 +/-\sqrt{4 -20 } }{2} = \frac{-2 +/-\sqrt{-16 } }{2} = \frac{-2 +/-4i }{2} = -1 +/-2i

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Of the 32 teachers at Devon's high school, 22 are female. What is the ratio of the number of male teachers to the total number o
stich3 [128]

Answer:

10:32

Step-by-step explanation:

32-22=10 male teachers

6 0
3 years ago
What is the slope of the line that passes through the following points? <br> (-1,-2) and (-3,-4)
iragen [17]

Answer:

y = x - 1

Step-by-step explanation:

Find the slope:

(-4 - (-2))/(-3 - (-1))

-2/-2 = 1

y = x + b

Plug in one of the points:

(-1,-2)

-2 = -1 + b

b = -1

y = x - 1

4 0
2 years ago
At a canning facility, a technician is testing a machine that is supposed to deliver 250 milliliters of product. The technician
Serhud [2]

Answer:

The value of the test statistic is t = 1.97

Step-by-step explanation:

The null hypothesis is:

H_{0} = 250

The alternate hypotesis is:

H_{1} \neq 250

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the null hypothesis value, \sigma is the standard deviation and n is the size of the sample.

In this problem:

X = 251.6, \mu = 250, \sigma = 5.4, n = 44

So

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{251.6 - 250}{\frac{5.4}{\sqrt{44}}}

t = 1.97

The value of the test statistic is t = 1.97

4 0
3 years ago
Colin and Brian were playing darts. Colin scored 91. Brian scored 9 more than Colin. What was their combined score?
Sloan [31]
Answer:
The combined score was 191
Explanation:
91 (Colin’s score) + 9 (how many more Brian had than Colin) = 100 (Brian’s score)
91 (Colin’s score) + 100 (Brian’s score) = 191 (combined score)
6 0
2 years ago
What is the slope and y intercept of y=-x+3
sattari [20]
Y intercept when x =0

<span> y=-x+3
 y = -0 +3
 y = 3

</span><span> the slope is -1 </span>
<span>
</span>
8 0
3 years ago
Read 2 more answers
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