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-Dominant- [34]
3 years ago
5

Multiply the polynomials (4x^2+3x+7(8x-5)

Mathematics
1 answer:
mel-nik [20]3 years ago
3 0

Answer:

32x^3 + 4x^2  + 41x - 35

Step-by-step explanation:

Multiply each of the terms in bracket 1 with those in bracket 2.

4x^2 x 8x = 32x^3

4x^2 x -5 = -20x^2

3x x 8x = 24x^2

3x x -5 = - 15x

7 x 8x = 56x

7 x -5 = -35

Now, put them together and simplify:

32x^3 - 20x^2 + 24x^2 - 15x + 56x - 35

After simplifying:

32x^3 + 4x^2  + 41x - 35

Please Mark Brainiest

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12. If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95% confident that th
atroni [7]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

Step-by-step explanation:

We have the following info given:

Confidence= 0.95 the confidence level desired

ME =0.03 represent the margin of error desired

The margin of error for the proportion interval is given by this formula:  

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

The confidence level is 95% or 0.95, the significance is \alpha=0.05 and the critical value for this case using the normal standard distribution would be z_{\alpha/2}=1.96

Since we don't have prior information we can use \hat p= 0.5 as an unbiased estimator

Also we know that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

6 0
3 years ago
What times what equals 18
lions [1.4K]
9 x 2 = 18
6 x 3 = 18
and 18 x 1 = 18

8 0
4 years ago
Read 2 more answers
Find the common difference of the arithmetic sequence - 11,-16, -21, ...<br> ?<br> Answer.
saveliy_v [14]

Answer:-26 is the next number

Step-by-step explanation:you just -5

6 0
2 years ago
Sam has bought a camera for $200 when it was on 20% off sale. What was the original price of the camera
Olenka [21]
Original price = x
x - .2x = 200  ← original price - discount amount = sale price
.8x = 200     ← 1x - 0.2x = .8x
x = 250      ← divided both sides by .8

The original price was $250
5 0
3 years ago
Read 2 more answers
Can someone answer #9
In-s [12.5K]

Solution:

First i'm going to divide the graph into 3 parts. Linear, Quadratic and Horizontal graph.

<u>Linear:</u>

Slope=\frac{-2-0}{-4-(-2)}=1\\y=m(x-xo)+yo\\y=1x-(-2)+(-4)\\y=x-2 , x\leq-1

<u>Quadratic:</u>

f(x) = a(x-h)^{2} + k\\f(x)=(x-2)^{2}-7,-1\leq x\geq 6

<u>Horizontal:</u>

f(x)=7,x\geq 6

Answer:

f(x)=x-2 , x\leq-1\\f(x)=(x-2)^{2}-7,-1\leq x\geq 6\\f(x)=7,x\geq 6

<em>Hope this was helpful.</em>

8 0
3 years ago
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