MATHEMATICS HIGH SCHOOL

Exercise 6: The daily cost of renting a car is $35 plus $0.50 per mile traveled. If Glendola paid$160.00 for a day's rental, how many miles did she travel?

Answers

Answer 1

Answer:

Answer:

Glen travled 250 miles

Step-by-step explanation:

subtract 35 from 160 because that is the up front payment and then divide that answer by .50

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What is the inverse of the function f(x) = x - 9?

Answers

The inverse of the given function is f⁻¹(x) = x + 9. The correct option is a f⁻¹(x) = x + 9

From the question, the given function is

f(x) = x - 9

To determine the inverse of this function,

First, let y = f(x)

That is,

y = x - 9

Now, make x the subject of the equation

To do that, add 9 to both sides

We get

y +9 = x - 9 +9

y + 9 = x

∴ x = y + 9

Now, rewrite as f⁻¹(x) by replacing y by x

That is,

f⁻¹(x) = x + 9

Hence, the inverse of the given function is f⁻¹(x) = x + 9. The correct option is a f⁻¹(x) = x + 9

Learn more here: brainly.com/question/16149814

Answer:

F^-1(x) = x+9

Step-by-step explanation:

Hope this helps! Stay Safe!\

The population of a small town in 1990 was 1,200 people, and the population in 2000 was 2,700 people. Let x represent the number of years since 1990. Let y represent the population. Which linear equation represents this data?

Answers

well... looking at how to question is defining things.....i think this is a multiple choice question.....

Given:
"y" represents the population
"x" represents the number of years
duration = 2000 - 1990 = 10 years
population increase = 2700 - 1200 = 1500
Now,
It says linear equation........, So, we have to assume that every ten years the population increases by a fixed amount that is 1500 people every 10 years.

Now,
Every 10 years, the population increases by 1500
Every 1 year , the population increases by 1500 / 10
= 150

Now,
The equation in determining the population is:

y = 150x + 1200

What is 149,597,870 in scientific notation

Answers

Answer:

1.4959787 × 10^8

Step-by-step explanation:

Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10^b.

Follow the steps below to see how 149,597,870 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 149,597,870

New Number: 1.49597870

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 1 . 4 9 5 9 7 8 7 0

Decimal Count: 1 2 3 4 5 6 7 8

There are 8 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10^b

a = 1.4959787 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

1.4959787 x 10^8

Step 4

Check your work:

10^8 = 100,000,000 x 1.4959787 = 149,597,870

Hope this helped.

Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10?

Answers

Answer: 10, 8, 6 , 4, 2, 0, -2, -4, ...

Explanation: every number of the sequence is the previous less 2 and the first terms is 10.

Answer:

D. 10, 8, 6, 4, 2, ...

Step-by-step explanation:

I got it right on the EDG. unit test!

the slope of a line is –2 and its y-intercept is (0, 3). what is the equation of the line that is parallel to the first line and passes through (2, 2)? a. y=4/3x - 3/2 b. 6x-4y=-8 c. y=3/4x 1 d. 4x – 2y = –12

Answers

Parallel lines has equal slope.
Required equation is (y - 2)/(x - 2) = -2 => y - 2 = -2(x - 2) => y - 2 = -2x + 4 => 2x + y = 6

Solve the equation
40=5(d - 2)

-2(x - 9)= -24

Answers

40=5d-10
first, you have to multiply 5 by D and-2 and then , you will get 40=5d-10
then you will combine like terms, like 40+10=5d
then you will get 50=5d and you divide 50 by 5 to get D only, and finally, you will get D=10.
the final answer is D=10

second question,
all you have to do is multiply-2 by x and -9
and then you get -2x+18=-24
then, you have to combine like terms like I did on the first one, which is -2x= -24-18 and then, you will get -2x=-42 and you have to divide 2 by -42 which is x=21
the final answer is x=21.

I am pre sure that it helped you. text me on messages on brainy if you have any questions that you want to ask me.

40 = 5(d - 2)
Then distribute the 5.
40 = 5d - 10
Add ten to both sides.
40 + 10 = 5d - 10 + 10
50 = 5d
Then divide 5 by both sides.
50/5 = 5d/5
Answer.
d = 10

~

Next equation.
-2(x - 9) = -24
Distribute the -2.
-2x + 18 = -24
Subtract 18 from both sides.
-2x + 18 - 18 = -24 - 18
-2x = -42
Then divide -2 by both sides.
-2x/-2 = -42/-2
Answer.
x = 21

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