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3 years ago

The topic is about operations on functions: composition and transformation

Mathematics

1 answer:

telo118 [61]3 years ago

5 0

Answer:

5, 1, 5, 1.

Step-by-step explanation:

take it one step at a time.

for the first one f(g(1))

first do whats inside of the parenthesis.

> g(1), go to g(x) graph, go to x= 1 and your y-value is your new value (3)

> your new equation is now f(3)

→ go to f(x) graph, go to x= 3, your y-value is 5. Your final answer is 5.

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????????!1!!!!!!! HELPPPPPPPPPPP

pav-90 [236]

Answer:

Step-by-step explanation:

Let us say, Olivia's age is x.

Now as the question says, we will get this equation.

$( \frac{1}{3} x ) + 12= 2x - 3$

Multiply both sides by 3.

$x + 36 = 6x - 9$

Collect like terms.

$x - 6x = - 9 - 36$

Calculate.

$- 5x = - 45$

Divide both sides of the equation by -5.

$x = 9$

Then, we will get the answer.

I hope it helps.

8 0

2 years ago

Simplify 3x^2+ 13x – 10 9x^2 - 4

svetlana [45]

Answer:

The top one is (3x−2)(x+5)

the bottom one is (3x−2)(3x+2)

Step-by-step explanation:

4 0

2 years ago

Two trains leave Cleveland at the same time. One train travels east and the other travels west. The speed of the westbound train

OlgaM077 [116]

Answer:

The eastbound train travels at 92 mph and the westbound train travels at 96 mph.

Step-by-step explanation:

We know that Velocity = distance / time

If the eastbound train travels at x miles per hour, the westbound train travels at x + 4 mph.

After 3.5 hours, they are 658 miles apart. If we solve for distance the formula given above we have: Distance = velocity x time. We have that the total distance between both trains is 658 miles.

Substituting the values of the problem and solving for x we have

$658 = 3.5x+3.5(x+4)\\658=3.5x+3.5x+14\\644=7x\\92=x$

Thus, the eastbound train travels at 92 mph and the westbound train travels at 96 mph.

6 0

3 years ago

The Jackson's are taking out a $35,000 loan to remodel their home. The tables below show the rates for a 1-year and a 5-year loa

Vladimir [108]

Answer:

have a good day :)

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

You need to purchase rolls of sod grass for a client's lawn, which is 75 feet by 100 feet. The large rolls of sod grass are 116

Nikolay [14]

The number of sod grasses needed is about one and half for the clients lawn

1 1/2 sod grasses

<h3> Area of Rectangle</h3>

Given Data

Size of clients Lawn

Length = 75 feet

Width = 100 feet

Area of client's Lawn = Length * Width

= 75*100

= 7500 square feet

Size of large rolls of sod grass

Length = 116 feet

Width = 42 feet

Area of large rolls of sod grass = Length * Width

= 116*42

= 4872 square feet

The number of sod grass needed

= 7500/4872

= 1.53

Learn more about rectangles here

brainly.com/question/25292087

4 0

2 years ago