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Alex17521 [72]
4 years ago
6

Given the graph of a function below, Determine the interval in which the function has a negative value.

Mathematics
1 answer:
Serggg [28]4 years ago
8 0

Answer:

B

Step-by-step explanation:

The "value" of a function is the y-value.

Since we want negative y values, we look at "WHERE" the function is "UNDER" the y-axis.

Looking closely, it looks that function (the dip) is from x = -1 to x = 3

Hence, the function is negative at the interval  -1 ≤ x ≤ 3

B is correct.

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4 years ago
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Two isosceles triangles are shown above. If b = 180-4a and a=35, What is the value of c?
Ymorist [56]

Answer:

a=35 given

b=40  

c=110

I couldn't complete see c. Please look at the picture to see what I assumed it to be.

Step-by-step explanation:

Hmmm... I guess a and b are not vertical.

We are given b=180-4a and a=35 so b=180-4(35)=180-140=40.

So b=40.

Isosceles triangles always have congruent base angles.  So let's call both of the base angles in the bottom triangle x.

That means x+x+40=180.

We need to solve this for x.

Combine like terms:

2x+40=180

Subtract 40 on both sides:

2x=140

Divide both sides by 2:

x=140/2

Simplify:

x=70

So I'm assuming that c and it's adjacent angle are sitting on a straightedge together which means 70+c=180.

70+c=180

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c=180-70

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4 0
3 years ago
Match each function with the expression representing its inverse function.
Georgia [21]

Answer:

  • A matches with 5.
  • B matches with 3.
  • C matches with 2.
  • D matches with 6.
  • E matches with 4.
  • F matches with 1.

Step-by-step explanation:

To find the inverse of a function f(x), we let f(y)=x and then solve again for y.

For example, using g(x)=-0.5x, we will let g(y)=x, giving x=-0.5y. This means that y=-2x, and thus g^{-1}(x)=-2x.

Using similar logic, we see that:

  • A matches with 5.
  • B matches with 3.
  • C matches with 2.
  • D matches with 6.
  • E matches with 4.
  • F matches with 1.
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