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JulijaS [17]
3 years ago
15

Given the definitions of f(x) and g(x) below, find the value of g(f(-1)).

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

Answer:

-14

Step-by-step explanation:

f(x) = -4x – 7 \\ plug \: x =  - 1 \\ f( - 1) =  - 4( - 1) - 7 = 4 - 7 =  - 3 \\g(x) = x² + 7x – 2 \\g(f( - 1)) =  {( - 3)}^{2}  + 7( - 3) - 2 \\  = 9 - 21 - 2 \\= - 14

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Convert 4 radians to degrees.
Sveta_85 [38]
Hello!

To convert radians to degrees, we have to multiply them by 180/ \pi.
Let's multiply.
4*180/ \pi
≈ 229.18311805

Please note that since we are using \pi, we need to use the approximation sign. 

4 radians ≈ 229.18311805°

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish
5 0
3 years ago
Find the value of x in the triangle.
Dmitrij [34]

Answer:

X = 65*

Step-by-step explanation:

Each triangle's angles equal 180*. So the equation you would type to find X is

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6 0
3 years ago
Discussion Topic
dsp73

Answer:

See below

Step-by-step explanation:

Let's suppose you're getting a new phone plan. The phone plan charges a flat fee of $5 and costs $9 a month. How can we represent this relationship?

Since $5 is a flat fee, it doesn't change based on how many months you've had the plan because it always remains $5, so this is our y-intercept.

Because the plan costs $9 a month, this represents our rate of change, or slope, showing that every month you have the plan, you multiply by $9.

So, we can show this as y=9x+5 where x is the number of months of the phone plan and y is the cost of the phone plan given x amount of months

Now, what if you wanted to know how much the phone plan would cost after 4 months?

Simple enough, we can just substitute x=4 into our equation and get y=9(4)+5=36+5=41. So, getting the phone plan for 4 months costs $41.

Let's take this the other way around. What if we wanted to figure out how many months of the phone plan are covered by $50?

We would then substitute y=50 into our equation and solve for x:

y=9x+5

50=9x+5

45=9x

5=x

This would mean $50 would cover 5 months of the phone plan.

All in all, these are real-life examples of algebra.

8 0
3 years ago
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Answer:

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Step-by-step explanation:

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