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Aleks [24]
2 years ago
12

F(n)=4n g(n)=n2+2n find f(g(-6))

Mathematics
1 answer:
ELEN [110]2 years ago
8 0

Answer:

When f(n) = 4n and g(n) = n² + 2n, f(g(-6)) = 96.

Step-by-step explanation:

To evaluate f(g(-6)), first find g(-6).

g(n) = n² + 2n

Substitute value.

g(-6) = (-6)² + 2(-6)

Square -6. Remember that (-x)² = x²

g(-6) = 36 + 2(-6)

Multiply 2 and -6.

g(-6) = 36 - 12

Subtract 12 from 36.

g(-6) = 24.

Now knowing this, substitute that value into f(n).

f(g(-6)) = f(24)

f(n) = 4n

Substitute value.

f(24) = 4(24)

Multiply 4 and 24.

f(24) = 96.

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Serena has attached a 10 inch ribbon to the corners of a frame to hang it on the wall. The frame 9 inches wide. How far above th
kherson [118]

Answer: The hook would be 2.2 inches (approximately) above the top of the frame

Step-by-step explanation: Please refer to the picture attached for further details.

The top of the picture frame has been given as 9 inches and a 10 inch ribbon has been attached in order to hang it on a wall. The ribbon at the point of being hung up would be divided into 5 inches on either side (as shown in the picture). The line from the tip/hook down to the frame would divide the length of the frame into two equal lengths, that is 4.5 inches on either side of the hook. This would effectively give us two similar right angled triangles with sides 5 inches, 4.5 inches and a third side yet unknown. That third side is the distance from the hook to the top of the frame. The distance is calculated by using the Pythagoras theorem which states as follows;

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse (longest side) and AB and BC are the other two sides

5^2 = 4.5^2 + BC^2

25 = 20.25 + BC^2

Subtract 20.25 from both sides of the equation

4.75 = BC^2

Add the square root sign to both sides of the equation

2.1794 = BC

Rounded up to the nearest tenth, the distance from the hook to the top of the frame will be 2.2 inches

4 0
3 years ago
I need the answer please
pochemuha
I cant see the link ummmmmm

3 0
3 years ago
Pls answer ASAP neeeddd
Anna007 [38]

Answer:

The answer is Tangent.

Step-by-step explanation:

Given that Tangent Rule is tanθ = opposite/adjacent. In this question, opposite is 11, adjacent is x and θ is 21°.

So using this formula, you are able to find the value of x.

7 0
3 years ago
PART TWO MATH TEST :)<br><br> Please Help! I will give brainliest and donuts &lt;33
ra1l [238]
Hey there,

Question #1

The answer would be in the attachment below.
_____________________________________________________________

Question #2

The answer would be in the attachment below.
_____________________________________________________________

Question #3

The answer would be in the attachment below.
_____________________________________________________________

Question 4#

The last one was kind of tricky. But, as I saw this attachment, I noticed on how the rectangle was actually 3/4 on the base and for the height, it was 1/2. So by doing this,we need to find the area, and we would multiply these both. 1/2 x 3/4 =  3/8 but by looking at your options, those are not simplified so . . .your answer would be 6/16 because 3x2=6 & 8x2=16.
_____________________________________________________________

I really hope this can help you Amanda.

Have a great day! =)

~Jurgen

6 0
4 years ago
Please help me out asap.
GalinKa [24]

Using a calculator, the slope of the line of best-fit is of 7.2.

<h3>How to find the equation of linear regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, the points are given as follows:

(-4,-32), (-2,-8), (0,10), (2,8), (4,32).

Using the calculator, the equation is:

y = 7.2x + 2.

Hence the slope is of 7.2.

More can be learned about a line of best-fit at brainly.com/question/22992800
#SPJ1

7 0
2 years ago
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