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andrey2020 [161]
2 years ago
15

0=x^2+2x-11 solve by completing the square

Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
6 0

Answer:

Below in bold.

Step-by-step explanation:

x^2 + 2x- 11 = 0

x^2 + 2x = 11

x^2 + 2x + 1 = 11 + 1

(x + 1)^2 = 12

x + 1 = ±√ 12

x = -1  ± √12

= -4.464, 2.464 to the nearest thousandth.

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How can you find f(2) if f(x)=−3x2−7?
Mnenie [13.5K]

Step-by-step explanation:

F(2)=3(2)²-7

=5

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7 0
3 years ago
The state highway department is studying traffic patterns on one of the busiest highways in the state. As part of the study, the
larisa86 [58]

Answer:

The need to sample 76 days.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many days do they need to sample

We need to sample n days.

n is found when M = 300.

We have that \sigma = 1010

So

M = z*\frac{\sigma}{\sqrt{n}}

300 = 2.575*\frac{1010}{\sqrt{n}}

300\sqrt{n} = 2.575*1010

\sqrt{n} = \frac{2.575*1010}{300}

(\sqrt{n})^{2} = (\frac{2.575*1010}{300})^{2}

n = 75.1

Rounding up

The need to sample 76 days.

3 0
2 years ago
What is the measure of angle BDC?
serious [3.7K]

Answer:

Like the angles BAC (56°) and BDC has the same arc BC in the circumference, these angles must be congruent, then angle BDC must be equal to 56°.

7 0
3 years ago
1. A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied at lea
GenaCL600 [577]

Answer:

1. studied: range-21

                interquartile-10

  did not: range-46

               interquartile-19.5

2.The people who studied got closer grades to each other. This shows that those who didn't study had more variation in grades. So there if you don't study you have a bigger chance of failing than studying.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
I need help on this one i been struggling alot
JulsSmile [24]
I'm not sure! Let me think about it, and if I get something then I will let you know!!! ;D
8 0
3 years ago
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