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Tresset [83]
3 years ago
10

Question 19 What must be done to the graph of f(x) = |x| to obtain the graph of the function g(x) = 3/7 |x+4|-10?

Mathematics
1 answer:
Sergio [31]3 years ago
5 0

Answer:

The graph of f is shifted left 4 units, vertically shrunk by a factor of \frac{3}{7} and shifted down 10 units.

Step-by-step explanation:

The base graph is f(x)=|x|

The transformed graph is g(x)=\frac{3}{7}|x+4|-10

Let us rewrite g(x) in terms of f(x) to get:

g(x)=\frac{3}{7}f(x+4)-10

This means that f(x) was vertically shrunk by a factor of \frac{3}{7} and shifted  4 units to the left and 10 units down.

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There is `1/12 foot in one inch. Does the graph show the<br> relationship between feet and inches?
KiRa [710]

Answer:

Yes

Step-by-step explanation:

Given that there is ¹/12 foot in 1 inch, this can be interpreted as being the constant of proportionality for the relationship between feet and inches. This means, for the graph to be said to represent this relationship, the constant of proportionality, which is y/x must be ¹/12.

How do we know this? Check this out using the four points given on the graph.

(12, 1) => y/x = ¹/12

(24, 2) => y/x = ²/24 = ¹/12

(36, 3) => y/x = ³/36 = ¹/12

(48, 4) => y/x = ⁴/48 = ¹/12

As we can see, the graph represents the shows a relationship between feet and inches.

5 0
2 years ago
The distance between two points on a map varies directly with the actual
grigory [225]

Answer:

104 miles

Step-by-step explanation:

Step 1:  208/2.5

208/3.5= 59.4285714286

59.4285714286 times 1.75= 104

I Hope I am right and I hope this helps.

3 0
3 years ago
The ratio of boys to girls in a class is 3:4. There are 35 students in the class. How many students are boys?
cricket20 [7]

Answer:

15 boys and 20 girls

Step-by-step explanation:

1. Since we cant simplify 3:4 we will leave it just like that.

2. 3x+4x=35

3. We add them both to give us 7x=35

4. We divide by 7 to get x by itself which results in 35/7=5.

x=5

5. Now we found x we can create 2 seperate soulutions:

3(5)=

and 4(5)=

Therefore there are 15 boys and 20 girls in the class. This makes sense because 15/20 reduced is 3 over 4.

6 0
3 years ago
A man steps out of a plane at a height of 4,000m above the ground falls 2,000m very quickly and then opens his parachute and slo
Mumz [18]

Answer:

Step-by-step explanation:

A man steps out of a plane at 4,000m of height above the ground.The point at which he jumps out of the plane would make a good reference point. However, if his acceleration is going to change as a result of him opening his parachute 2000m above the ground, a good reference point would be there. Keep in mind though, that his velocity at that instant would need to be known for it to be useful- otherwise the airplane reference point would be just as good with appropriate modeling....

7 0
3 years ago
HELP ASAP. Teacher didnt teach us this.
mina [271]

Answer:

A = 624

B = 14.76 or 14.8 or 15inches

Standard form in polynomial for Area = 26 x 24 = .624in^2.....

2(5 + 8) x 2( 5 + 7)

26 x 24 = 624 in^2

This is because the rectangle width indifference is 1/10th of the length measuring 2inches more, then we see both sides of the frame are equal to 2inches and match this measure for x = 2inches both width and length. We add 4 to each side 22 x 20 + 4x^2 we separate 4x^2 into 4x both sides, this has become 26 x 24 = 624in^2

as 4 was added each side.

Question 2.  

We find the width is shown left to right in rectangles, they are the sides.

So Area 4 x 24 = 96in^2

or 6.5 of the 24 = 24/6.5 = 3.69 inches

26 /6.5 = scale of 6.5: 26 = 4 inches

Therefore Area = 3.69 x 4 = 14.76

if it was square frame it would be 16inches

Go for 14.76in^2 as ithe question says 4 inches and it becomes, a replaced width only and it must be still to scale as shown above with 24/6.5 = 3.69  so 3,69 x 4 = 14.76. Last resort would be that the length as kept at 24 x 4 = 96 and in this response it does exactly what the question asks the width changes only.

5 0
3 years ago
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