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Lostsunrise [7]

2 years ago

7

Charles can drive 345 miles on a full tank of gas. If he has driven 134 miles so far, how many miles can he drive before he runs

out of gas?

2 answers:

Nookie1986 [14]2 years ago

7 0

Charles can drive 211 miles before he runs out of gas

Paul [167]2 years ago

7 0

If you subtract the two numbers you will get 211

The answer is 211 miles until he runs out of gas

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20 POINTS!! Order these numbers from LEAST to GREATEST.

leva [86]

Answer:

A

Step-by-step explanation:

multiply 5/3 by 2 you should get 10/6 and then you simplify it out the fraction is 1 and 4/6

12/6 is 2

and you do not need to do anything with 1

7 0

3 years ago

Write a polynomial function in standard form with zeros at −3, −1, and 1.

Annette [7]

Answer:

$f(x) = {x}^{3} + 3 {x}^{2} - x -3$

Step-by-step explanation:

The given polynomial has zeros at:

x=−3, x=−1, and x=1.

This means that:

x+3, x+1, and x-1 are all factors of this polynomial.

The factored form of this polynomial is :

$f(x) = (x + 3)(x + 1)(x - 1)$

We expand the last two factors using difference of two squares.

$f(x) = (x + 3)( {x}^{2} - 1)$

$f(x) = x ( {x}^{2} - 1) + 3( {x}^{2} - 1)$

$f(x) = {x}^{3} - x+ 3 {x}^{2} -3$

$f(x) = {x}^{3} + 3 {x}^{2} - x -3$

This is the standard form because it is now in decreasing powers of x.

8 0

3 years ago

Select each pair of functions that are inverses of each other

svlad2 [7]

Answer:

The first two choices only: A and B.

Step-by-step explanation:

The inverses are the ones with one relation having point (x,y) and the other relation having point (y,x). This most obvious when looking at points on a table or a list of points.

So the first pair are inverses because per point (x,y) on the first list you have (y,x) on the second list.

Examples:

1st list contains (-5,-9) while second list contains (-9,-5).

1st list contains (3,7) while the second list contains (7,3).

As long as (a,b) is in the first list and (b,a) is in the second or vice versa, then the pair of relations are inverses. So the first choice contains inverses.

Now lets talk about the pair of functions given in function notation.

Let's start with the first.

y=x+7

Extend the first idea more. Just swap x and y and then see after solving for y if what it equals is what g equals then f and g are inverses in the second choice.

x=y+7

Subtract 7 on both sides:

x-7=y

y=x-7

This is what g equals so the second choice is an answer.

The last choice does not contain a pair of inverses. Example: (2,3) is in the first list but (3,2) is not in the second.

6 0

2 years ago

Read 2 more answers

When choosing a new class color, 90 students voted for crimson and 60 voted for royal blue. What percent of these students voted

neonofarm [45]

The percentage of students voted for colour crimson
=
$\frac{90}{60 + 90} \times 100\% \\ = \frac{90}{150} \times 100\%\\ = \frac{9}{15} \times 100\% \\ = 60\%$
hope it helps!

6 0

2 years ago

Which methods could you use to calculate the y-coordinate of the midpoint of vertical line segment with endpoints at (0,0) and (

Hatshy [7]

Answer:

Midpoint formula.

The midpoint formula is (x_1+x_2)/2 , (y_1+y_2)/2

Step-by-step explanation:

This is one method. A list wasn't provided.

5 0

3 years ago