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2 years ago

If f(x) = -5x +5 and g(x) +3x +8, find g(f(x))

Mathematics

1 answer:

4vir4ik [10]2 years ago

4 0

Answer:

Step-by-step explanation:

g(f(x)) = g(f(x)) +3(-5x +5 ) +8

= -15x + 15 + 8

= -15x + 23

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4x-5 - 2x-1

3241004551 [841]

Answer:

$\frac{5x - 8}{3}$

Step-by-step explanation:

Find the LCM of the denominators and then solve:

$\frac{4x - 5}{2} - \frac{2x - 1}{6} \\\\$

$\frac{4x - 5}{2} - \frac{2x - 1}{6} \\\\\frac{3(4x - 5) - 2x - 1}{6} \\\\\frac{12x - 15 - 2x - 1}{6}\\\\\frac{10x - 16}{6}\\\\ \frac{2(5x - 8)}{2 * 3} \\\\ \frac{5x - 8}{3}$

4 0

2 years ago

Please answer the question! i will give brainliest!!!!!!

Reptile [31]

Answer:

B because you multiply all the similar numbers together then at the end you add them all up.Step-by-step explanation:

6 0

2 years ago

The diagram below shows an Isosceles triangle. Label the base angles and the vertex

Anna007 [38]

The measure of each base angle is 34 degrees and the measure of the vertex angle is 112 degrees

Find the diagram attached.

The base of the isosceles triangle is "b".

Since the base angles are equal, hence the sum of the interior angle is expressed as:

b + b + 112 = 180

2b + 112 = 180

2b = 180 - 112

2b = 68

b = 68/2

b = 34 degrees

Hence the measure of each base angle is 34 degrees and the measure of the vertex angle is 112 degrees

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7 0

2 years ago

Suppose that A is nonsingular. Prove that its inverse A-1 is unique. [Hint: Show that if there exists two matrices, B and C, suc

Bogdan [553]

Answer with Step-by-step explanation:

Let A is non-singular

$\mid A\mid\neq 0$

We have to prove that $A^{-1}$ is unique.

Suppose B and C are inverse of A such that

$BA=I$ and AC=I

By using property $AA^{-1}=A^{-1}A=I$

$C=C$

$(BA)C=B(AC)$

$I\cdot C=B\cdot I$

$C=B$

Hence, the inverse of A is unique.

4 0

2 years ago

Suppose a family drives at an average rate of 60 mi/h on their way to visit relatives and then an average rate of 40 mi/h on the

hammer [34]

Answer:

Part A) 2 hours

Part B) d/60 hours

Part C) 48 miles/hour

Step-by-step explanation:

Part A) Let "d" be the distance in miles the family traveled to visit their relatives. How many hours did it take to drive there?

we know that

Let

x ----> the time it take on their way to visit relatives in hours

y ---> the time it take on the way back in hours

we know that

The distance of the way to visit is equal to the distance of the way back

The speed multiplied by the time is equal to the distance

60x=40y -----> equation A

y=x+1 -----> equation B

substitute equation B in equation A and solve for x

60x=40(x+1)

60x=40x+40

20x=40

x=2 hours

Find the value of y

y=2+1=3 hours

d=60x

The time it take on their way to visit relatives is 2 hours

The time it take on the way back is 3 hours

Part B) In terms of "d," how many hours did it take to drive there?

we have that

The distance is equal to the speed multiplied by the time

d=60x

Solve for x

x=d/60 hours

Part C) Write and solve an equation to determine the distance the family drove to see their relatives. What was the average rate for the entire trip?

To find the average rate for the whole trip we will need the total distance and the total time

The distance of the way to visit is

d=60x

substitute the value of x

d=60(2)=120 miles

The total distance is

120(2)=240 miles

we know that the total time is

2 + 3 =5 hours

The average rate for the complete trip is

240/5=48 miles/hour

5 0

2 years ago

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