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kotykmax [81]
2 years ago
15

Using ƒ(x) = 2x + 7 and g(x) = x − 3, find ƒ(g(-2)).

Mathematics
1 answer:
Eva8 [605]2 years ago
4 0

Answer:

We conclude that:

f(g(-2)) = -3

Step-by-step explanation:

Given

  • f(x) = 2x + 7
  • g(x) = x-3

To determine

  • f(g(-2)) = ?

In order to determine f(g(-2)), first we need to determine g(-2)

so substituting x = -2 in g(x) = x-3

g(-2) = -2 - 3

        = -5

Thus,

f(g(-2)) = f(-5)

now substitute x = -5 in the function f(x) = 2x+7

f(x) = 2x+7

f(-5) = 2(-5) + 7

f(-5) = -10 + 7

f(-5) = -3

so

f(g(-2)) = f(-5) = -3

Therefore, we conclude that:

f(g(-2)) = -3

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elena55 [62]
Drawing it out, as seen, using the Pythagorean theorem we get that w^2+l^2 (with w=width and l=length)=diagonal^2=24^2+l^2=40^2. Subtracting 24^2 from both sides, we get 40^2-24^2=l^2=1024. Square rooting both sides, we get l=32. Since the perimeter is 2w+2l, we get 32*2+24*2=64+48=112

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3 years ago
A truck left a station at 6:00am traveling at a rate of 45km/h. A van left the same place 2 hours later heading in the same dire
OverLord2011 [107]

The Van would catch up with the truck at 6:00 pm

Speed is the ratio of distance travelled to time taken. It is given by:

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Let us say the van catch up with the truck after t hours at a distance d.

For the truck:

45 = d/t

d = 45t

For the Van:

54 = d / (t - 2)

d = 54t - 108

45t = 54t - 108

9t = 108

t = 12 hours

The Van would catch up with the truck at 6:00 pm

Find out more on speed at: brainly.com/question/3004254

6 0
2 years ago
Read 2 more answers
Choose the property used to rewrite the expression.
Alex73 [517]

The property used to rewrite the given expression is product property.

Answer: Option A

<u>Step-by-step explanation:</u>

Given equation:

                          \log _{2} 10+\log _{2} 4=\log _{2} 40

The sum of the two logarithms of two quantities (on the same basis) corresponds to the logarithm of their product on the same basis. The product log is equal to the log’s sum of the factors.

                                \log _{b}(x \times y)=\log _{b} x+\log _{b} y

There are several rules that you can use to solve logarithmic equations. One of these guidelines is the logarithmic products rule that you can use to differentiate complex protocols in different ways. Different values that can be valuable are the quota principle and the logarithm rule. The logarithmic products rule is essential and is regularly used in analysis to control logs and simplify baseline conditions.

4 0
3 years ago
The graphs of f(x) and g(x) are shown below: graph of function f of x open upward and has its vertex at negative 7, 0. Graph of
dexar [7]

The equation of the function is g(x)=(x+7)² -2 , Option D is the correct answer.

<h3>What is a Function ?</h3>

A function is a mathematical statement that defines relation between two variables.

The f(x) = (x+7)²

The equation for g(x) is ?

graph of function f of x open upward and has its vertex at (-7,0).

Graph of function g of x opens upward and has its vertex at (-7,2).

g(x) is formed by the translation of the function f(x) such that it's vertex is (-7,-2)

Therefore the equation of the function is

g(x)=(x+7)² -2

Therefore , the translation is a shift of the function f(x) 2 units down

Option  D is the correct answer.

To know more about Function

brainly.com/question/12431044

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3 0
2 years ago
A six-sided die is rolled three times. what is the probability that all three rolls will be 6?
PSYCHO15rus [73]

you have a 1/6 probability of rolling a 6

 so for 3 6's it would be

1/6 x 1/6 x 1/6 = 1/216

6 0
3 years ago
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