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lara [203]
3 years ago
14

Solve. 3x^2 – 24x = –12

Mathematics
1 answer:
Tresset [83]3 years ago
5 0
3x(x-8)=-12
x(x-8)=-4
x²-8x+4=0

USE QUADRATIC FORMULA:

x=(<span><span><span>−b</span>±<span>√(<span><span>b2</span>−<span><span>4a</span>c))/</span></span></span></span><span>2<span>a
</span></span></span><span>x=<span>4+<span><span><span>2<span>√3</span></span><span> or </span></span>x</span></span></span>=<span>4−<span>2<span>√<span>3</span></span></span></span>
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Can someone help me with this!
Stolb23 [73]

Answer:

  2.  x = 18

  3.  x = 7

  4.  missing angles are 73°

Step-by-step explanation:

The simple rules involved here are ...

  • the sum of angles of a triangle is 180°
  • angles forming a linear pair are supplementary (total 180°).

Together, these tell you that the external angle of a triangle has the same measure as the sum of the opposite internal angles. (The third angle is the supplement of the external angle.)

<u>Problem 1</u>

Work shown is correct.

__

<u>Problem 2</u>

Using the above observation, ...

  (5x -11)° + (2x +20°) = (11x -63)°

  7x +9 = 11x -63 . . . . . collect terms, divide by °

  72 = 4x . . . . . . . . . . . add 63-7x

  18 = x

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<u>Problem 3</u>

The angles of an equilateral triangle are 60°, so that is the measure of the marked angle.

  9x -3 = 60

  9x = 63 . . . . . . add 3

  x = 7 . . . . . . . . .divide by 9

__

<u>Problem 4</u>

You don't need to find the value of x to answer this question. The base angle of an isosceles triangle is the complement of half the apex angle. This comes from the fact that the two base angles are equal measure.

  (apex angle) + 2(base angle) = 180° . . . . sum of angles in isosceles triangle

  (1/2)(apex angle) +(base angle) = 90° . . . divide by 2

  base angle = 90° -(1/2)(apex angle) . . . . .solve for base angle

Filling in the given apex angle value, we get ...

  base angle = 90° -(1/2)(34°) = 73°

Both missing angles are 73°.

7 0
3 years ago
Which is the BEST estimate for the surface area of the prism?
Advocard [28]

I think it may be 34ft^2

I hope that helps!

4 0
3 years ago
C. The double shadedregion represents<br> of the whole.
Ede4ka [16]

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5 0
3 years ago
56,426+17,895
pochemuha

Answer:

a =74,321

b. 41,042,523,288

c. 414,832,917

Step-by-step explanation:

because two odd numbers becomes a even number

5 + 5 = 10 7 + 7 = 14 etc

so in the problem you sent 13 and 15 being odd numver will result in a even number when added

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3 years ago
Read 2 more answers
A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range
maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, \hat p.

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

Given:

n = 150

\hat p = 0.68

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the 95% confidence interval for proportion as follows:

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)

Thus, the reasonable range for the population mean is (61%, 75%).

5 0
4 years ago
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