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AleksandrR [38]
4 years ago
5

F(x) = 4x – 2 g(x) = -3x2 – 7x + 4 Find: f(x) · g(x) HeLP

Mathematics
1 answer:
notka56 [123]4 years ago
5 0

Answer:

\large\boxed{f(x)\cdot g(x)=-12x^3-28x^2+30x-8}

Step-by-step explanation:

f(x)=4x-2\\\\g(x)=-3x^2-7x+4\\\\f(x)\cdot g(x)=(4x-2)\cdot(-3x^2-7x+4)\\\\\text{Use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\f(x)\cdot g(x)=(4x)(-3x^2)+(4x)(-7x)+(4x)(4)\\+(-2)(-3x^2)+(-2)(-7x)+(-2)(4)\\\\f(x)\cdot g(x)=-12x^3-28x^2+16x+6x^2+14x-8\\\\\text{Combine like terms}\\\\f(x)\cdot g(x)=-12x^3+(-28x^2+6x^2)+(16x+14x)-8\\\\f(x)\cdot g(x)=-12x^3-28x^2+30x-8

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A store manager paid $95 for an item and set the selling price at $116.85. What was the percent markup?
Neporo4naja [7]

We have been given that a store manager paid $95 for an item and set the selling price at $116.85. We are asked to find the percent mark-up.

We will use percent increase formula to solve our given problem.  

\text{Percent increase}=\frac{\text{Final}-\text{Initial}}{\text{Initial}}\times 100\%

\text{Percent increase}=\frac{\$116.85-\$95}{\$95}\times 100\%

\text{Percent increase}=\frac{\$21.85}{\$95}\times 100\%

\text{Percent increase}=0.23\times 100\%

\text{Percent increase}=23\%

Therefore, the mark-up will be 23% and option 'b' is the correct choice.

6 0
3 years ago
The final velocity, V, of an object under constant acceleration can be found using the formula v2=v2+2as, where v is the initial
gogolik [260]

Answer: a = (V^2 - v^2)/2s

Step-by-step explanation:

The equation for the final velocity is:

V^2 = v^2 + 2*a*s

where V is the final velocity, v is the initial velocity, a is the acceleration and s is the distance.

Now, we want to solve this formula for a, this would mean isolate a in one side of the equation, this is pretty simple, first we pass subtract v^2 in both sides.

V^2 - v^2 = v^2 + 2*a*s - v^2

V^2 - v^2 = 2*a*s

now we can divide by 2*s in both sides:

(V^2 - v^2)/2s = 2*a*s/2s = a

a = (V^2 - v^2)/2s

6 0
3 years ago
A formula is given as J = 10V/11 + 143
Nadusha1986 [10]

Answer:

11j - 1573/10

Step-by-step explanation:

J = 10v /11 +143

collect terms

J - 143 =10v /11

11 (J -143) = 10v

Divide both sides by 10

11(J - 143)/10 = v

v = 11J - 1573/10

Hope this helps!

5 0
3 years ago
Researchers wondered whether the size of a​ person's brain was related to the​ individual's mental capacity. They selected a sam
storchak [24]

Answer:

Step-by-step explanation:

Given that researchers wondered whether the size of a​ person's brain was related to the​ individual's mental capacity

They selected a sample of 5 females and 5 males and measured their MRI counts and IQ scores.

The data is reported to the right. Complete parts ​(a) through ​(d) below.

We want scatter plot for IQ vs MRI in general.

So we group data into two columns X for MRI and Y for IQ and draw scatter plot

MRI IQ

 

816932 133

1001121 140

833868 132

856472 140

866662 130

1038436 139

1079550 141

924059 136

a) Scatter plot is attached as a file

b) correlation coefficient = Cov (x,y)/S_x S_y = 0.729889

B) Yes, MRI count and IQ are linearly related since the linear correlation coefficient is _____.0.729889 >0.5 and near to 1 than to 0

There is a positive moderate correlation between x and y (linear)

Download xlsx
7 0
4 years ago
Lamont is packing for a class trip. He has six school uniform shirts and wants to bring four of these shirts. How many different
Lelechka [254]
I am not sure but my answer came out to 10 different arrangements.
8 0
3 years ago
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