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viktelen [127]
2 years ago
14

I really need help with figuring out how to calculate b, I've been really confused.

Mathematics
1 answer:
aleksley [76]2 years ago
3 0

Answer:

The value of b is -12

Step-by-step explanation:

Differentiate the given function with respect to x.

f'(x)=4x-4

Subsitute 3 for x in f'(x).

f'(3)=4\cdot3-4\\=12-4\\=8

The slope of a tangent line is f'(3)=m=8.

Subsitute 8 for m, 12 for y_1 and 3 for x_1 in y-y_1=m(x-x_1).

y-12=8(x-3)\\y-12=8x-24\\y=8x-24+12\\y=8x-12

So, the value of b is -12

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450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (
umka21 [38]

Answer:

The margin of error is of 0.01.

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 - 0.7}{2} = 0.15

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.15 = 0.85, so Z = 1.037.

The margin of error is of:

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

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

Standard deviation was 0.21.

This means that \sigma = 0.21

Sample of 450:

This means that n = 450

What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?

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

M = 1.037\frac{0.21}{\sqrt{450}}

M = 0.01

The margin of error is of 0.01.

4 0
3 years ago
(x+2) is one of the factors of the polynomial x³+13x²+32x+20. Find its remaining factors.
Liula [17]

Answer:

x^2+11x+10

or

(x+1)(x+10) since you can factor x^2+11x+10

Step-by-step explanation:

Let's do synthetic division.

We are dividing by x+2, so -2 will be on the outside. Like this:

-2 |         1          13          32         20

   |                     -2        -22         -20

   |___________________________

             1          11           10            0

The remainder is 0, so (x+2) is indeed a factor of x^3+13x^2+32x+20.

The other factor we found by doing this is (x^2+11x+10).

You can find more factors by factoring x^2+11x+10.

Two numbers that multiply to be 10 and add to be 11 is 10 and 1 so the factored form of x^2+11x+10 is (x+10)(x+1).

6 0
3 years ago
Find the area of a triangle whose sides are 5 m, 6 m and 9m,( use root 2 =-1.41 m)​
dlinn [17]

The area of the triangle is 14.1 square meters

<h3>How to determine the triangle area?</h3>

The side lengths are given as:

5m, 6m and 9m

Calculate the semi-perimeter (s) using

s = (5 + 6 + 9)/2

Evaluate

s = 10

The area is then calculated as:

Area = \sqrt{s(s -a)(s-b)(s-c)

This gives

Area = \sqrt{10 * (10 -5)(10-6)(10-9)

Evaluate the products

Area = \sqrt{200

Evaluate the exponent

Area = 14.1

Hence, the area of the triangle is 14.1 square meters

Read more about areas at:

brainly.com/question/27683633

#SPJ1

4 0
2 years ago
A sphere has a radius of 1.5 inches.
Schach [20]
V = (4/3)×3.14×(1.5^3)
V = 14.1 in^3
7 0
2 years ago
√44 is between what 2 numbers?<br><br> A.4 and 5<br> B.5 and 6<br> C.6 and 7<br> D.7 and 8
Gemiola [76]
I believe the answer is C.

6 0
3 years ago
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