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erica [24]
3 years ago
6

For f(x) = 3x - 12 and g(x) = 2x^2 + 7, find f(g(-5)).

Mathematics
1 answer:
Soloha48 [4]3 years ago
6 0

Answer:

159

Step-by-step explanation:

To evaluate f(g(- 5)), first evaluate g(- 5) then substitute this value into f(x)

g(- 5) = 2(- 5)² + 7 = 50 + 7 = 57

f(57) = (3 × 57) - 12 = 171 - 12 = 159


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Answer: 12 units^2

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3 years ago
Is it possible to prove the triangles congruent? if so, what postulate would you use?
amid [387]

Answer:

Is in the attached image.

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8 0
3 years ago
What is the equation of the line that passes through the point of intersection of the lines y = 2x − 5 and y = −x + 1, and is al
Arisa [49]
Y=1/2x-2

To find the point where the two lines intersect they are set equal to each other so that x can be found:
2x-5=-x+1
2x+x=1+5
3x=6
x=2

If x is known, x can be plugged into one of the two equations to find y.
y=-x+1=-2+1=-1

This means the point where they intersect is (2,-1).
We also know that the slope has to be 1/2 because the slope has to match the slope of the line it is parallel to.

Putting this into point slope form, we get:
(y-(-1))=1/2(x-2)

Which can be simplified into slope intercept form:
y+1=1/2x-1
y=1/2x-1-1
y=1/2x-2
5 0
3 years ago
Suppose that Jamal can choose to get home from work by taxi or bus. When he chooses to get home by taxi, he arrives home after 7
qwelly [4]

Answer:

0.55

Step-by-step explanation:

There are four things you need to keep in mind,and the question is too easy to solve , so following are those four things

1)Jamal travelling by Taxi before 7 PM

   It is given that Jamal uses the bus for 70 percent of the time so he will use the taxi for (100-70)%=30% of the time.

and also it is given that he arrives home by taxi after 7 PM , 15% of the time so he will arrive home by taxi before 7 PM ,(100-15)=85% of the time,

so by multiplication law of probability , the probability that Jamal will arrive by taxi before 7 PM =0.30*0.85=.255

2)Jamal travelling by Taxi after 7 PM

Similarly by considering the above situations as described in first part,

the probability that Jamal will arrive by taxi after 7 PM=0.30*0.15=.045

3) Jamal travelling by Bus before 7 PM

Now considering the case of the bus, it is given that Jamal arrives home after 7 PM 8 percent of the time. so for before 7 PM it will be 100-8= 92%

Similarly the probability that Jamal will arrive by bus before 7 PM=0.70*0.92=.644

4) Jamal travelling by Bus after 7 PM

Similarly on the basis of above explanation we can easily say that the probability that Jamal will arrive by bus after 7 PM=0.70*.08=.056

so, the probability that Jamal chose to get home from work by bus, given that he arrived home after 7 pm==\frac{Jamal travelling by bus after 7 PM}{(Jamal travelling by taxi after 7 PM +Jamal travelling by bus after 7 PM}

=\frac{0.056}{0.056+0.045}

=\frac{0.056}{0.101} \\=0.554


7 0
3 years ago
A vehicle at the starting line travels at a constant speed of 0.5 miles per min. which function could describe this vehicle.
Nutka1998 [239]
We have the equation y=mx+b. Here, m is multiplied by x and represents the slope in our line, or its speed. The b here represents the starting point. First, since we start at the starting line, b is 0 (since we start from 0). Next, since our speed is 0.5, we multiply x by 0.5 to get 0.5x=y

Feel free to ask further questions!
3 0
3 years ago
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