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True [87]
3 years ago
7

F(x)=x^2-2x+3 g(x)=x^2-2x-4 Find f(g(-2)

Mathematics
1 answer:
olga55 [171]3 years ago
4 0

Answer:

f(g(-2))=11

Step-by-step explanation:

We are given the two functions:

f(x)=x^2-2x+3\text{ and } g(x)=x^2-2x-4

And we want to find:

f(g(-2))

We will find g(-2) first. So:

g(-2)=(-2)^2-2(-2)-4=4+4-4=4

Thus:

f(g(-2))=f(4)

Evaluate:

f(4)=(4)^2-2(4)+3=16-8+3=11

Therefore:

f(g(-2))=11

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Angle θ is in standard position and (−6,−3) is a point on the terminal side of θ. What is the exact value of csc θ in simplest f
bearhunter [10]

Answer:

\displaystyle \csc\theta=-\frac{\sqrt{5}}{2}

Step-by-step explanation:

Since \displaystyle \csc\theta=\frac{1}{\sin\theta}=\frac{1}{\frac{\text{Opposite}}{\text{Hypotenuse}}}=\frac{\text{Hypotenuse}}{\text{Opposite}}, we need to find the hypotenuse given our corresponding opposite and adjacent lengths of -6 and -3 accounting for Quadrant III:

(-6)^2+(-3)^2=c^2\\\\36+9=c^2\\\\45=c^2\\\\\sqrt{45}=c\\\\c=3\sqrt{5}

Thus, \displaystyle \csc\theta=\frac{\text{Hypotenuse}}{\text{Opposite}}=\frac{3\sqrt{5}}{-6}=-\frac{\sqrt{5}}{2}

4 0
2 years ago
A thearte ticket costs £63 plus a booking fee of 3%<br> what is the total price of the ticket
ira [324]

Answer:

the total price is 64.89

Step-by-step explanation:

63 / 100 =

0.63 * 103 = 64.89

3 0
4 years ago
Read 2 more answers
I don't know at all please help me
arlik [135]
Alrighty. 
First we need to make them all simplified. 
So simplified would be \frac{9}{10} times \frac{5}{4} times \frac{5}{2}.
Then we multiply the numerator and the denominator. The final answer is \frac{225}{800}
Simplified is \frac{51}{160}

8 0
4 years ago
Show that the points A(2,-2), B(14, 10), C(11, 13) and
Vedmedyk [2.9K]

Answer:

  is not a rectangle

Step-by-step explanation:

The midpoints of the diagonals are ...

  AC midpoint = ((2, -2) +(11, 13))/2 = (13/2, 11/2)

  BD midpoint = ((14, 10) +(-2, 1))/2 = (6, 11/2)

The midpoints of the diagonals are different, so this is not a rectangle or any sort of parallelogram.

6 0
4 years ago
2/9/10 + 1/10 <br> what is the answer
rosijanka [135]

Answer:

The answer is 0.12

7 0
4 years ago
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