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zhenek [66]
3 years ago
15

Solve 2x^2-21x-36=0

Mathematics
2 answers:
Elena-2011 [213]3 years ago
8 0
2x^2-21x-36=0 

x_{1,\:2}=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a} 

\mathrm{For\:}\quad a=2,\:b=-21,\:c=-36:\quad x_{1,\:2}=\frac{-\left(-21\right)\pm \sqrt{\left(-21\right)^2-4\cdot \:2\left(-36\right)}}{2\cdot \:2} 

x=\dfrac{-\left(-21\right)+\sqrt{\left(-21\right)^2-4\cdot \:2\left(-36\right)}}{2\cdot \:2}:\quad 12 

x=\dfrac{-\left(-21\right)-\sqrt{\left(-21\right)^2-4\cdot \:2\left(-36\right)}}{2\cdot \:2}:\quad -\dfrac{3}{2} 

x=12,\:x=-\dfrac{3}{2}
Alinara [238K]3 years ago
7 0
The answer is B. Hope that help.

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The shape is missing, so i have attached it.

Answer:

2.6

Step-by-step explanation:

From the image attached, the diameter of the inner semi - circle is 0.5 yards while the length of each side of the pillow is 0.2 yards.

Thus, for us to find the length of the seam which is along the edges of the pillow, we will calculate the perimeter of the outer semicircle, then add the perimeter of the inner semicircle and also add the sides too.

Now, due to the fact that the length of the sides of the pillow are 0.2 yards each, the diameter of the outer circle would be;

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P0 = πd/2 = π × 0.9/2 =0.45π yds

The perimeter of the inner semicircle would be given as;

PI = πd/2 = π × 0.5/2 =0.25π yds.

Thus, we can calculate the total perimeter of the pillow as;

PT = P0 + PI + 0.2 + 0.2

PT = 0.45π + 0.25π + 0.2 + 0.2

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2 years ago
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Step-by-step explanation:

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A Gallup Poll found that 51% of the people in its sample said "yes" when asked, "Would you like to lose weight?" Gallup announce
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(b) to say that we have 95% confidence in this interval means that there is 95% chance that the true percentage of all adults who wants to lose weight falls in this interval.

Step-by-step explanation:

The question is missing, complete question is below:

A Gallup Poll found that 51% of the people in its sample said "yes" when asked, "Would you like to lose weight?" Gallup announced: "With 95% confidence for results based on the total sample of national adults, one can say that the margin of sampling error is ± 3%."

(a) What is the 95% confidence interval for the percent of all adults who want to lose weight?

(b) What does it mean to say that we have 95% confidence in this interval?

Confidence Interval can be calculated using p±ME where

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