a cyclist rides his bike at a rate of 5 kilometers per hour.what is this rate in
miles per hour? how many miles will the cyclist travel in 5 hours? in your
computations assume that 1 mile is equal to 1.6 kiolmeters. Do not round your
answers

Answer:

a. The domain of the function is -3 < x ≤ 5

b. The range of the function is -3 ≤ y < 3

c. The y-intercept is the point (0, 0)

d. The values of 'x' at which f(x) ≥ 0 are;

x = -3, x = 1, x = 5

e. The intervals over which f(x) is decreasing are;

-3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. The local minimums are;

(-1, -1), and (3, -3)

Step-by-step explanation:

a. The domain of a function is the set of the possible independent variable values

Therefore, the domain of the function is -3 < x ≤ 5

b. The range of a function is the set of the possible values of the dependent variable

Therefore, the range of the function is -3 ≤ y < 3

c. The y-intercept is the point (0, 0)

d. The values of 'x' for which f(x) ≥ 0 are;

x = -3, x = 1, x = 5

The range of values of 'x' where f(x) ≥ 0 are;

-3 < x ≤ - 1.5, 0 ≤ x ≤ 1.5, 4.5 ≤ x ≤ 5

e. f(x) is decreasing over the following intervals;

-3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. The local minimums are the points that are lowest compared to other nearby points

The local minimums are;

(-1, -1), and (3, -3).

Answer:

i dont know

Step-by-step explanation:

Answer:

True!

Step-by-step explanation:

Put all the whole numbers together so 2+ (-2) cancels out

2-2+5x

positive 5x would be the only thing left so there you go!!!

Answer:

its loaded

Step-by-step explanation:

i cant see how thats possible at all

Answer:

The answer is (-2,3)

Step-by-step explanation:

If you look at the coordinate plane, you'll notice that the x -values are negative and the y-values are positive. So, if you look at where the two lines meet, they meet at the point (-2,3).

Hope I helped!!!

Answer:

3 inches

Step-by-step explanation:

if she cut 3 inches off the length, that makes it 9 inches. the original rectangle was 2 inches longer. so subtract 2 from 9 and 7. she needs to have the width 7 inches.

Answer:

no c

Step-by-step explanation:

Answer:

61.928 is angle C

Step-by-step explanation:

hope this helps

Answer:

Use the law of cosines.

Example:

c^2 = a^2 + b^2 - 2ab cosc

Answer:

Step-by-step explanation:

Because in equation x-9y=12

If we put x=12 and y=0 then it satisfy equation. (12)-9(0)=12

So, (12,0) make equation

(3,-1) also make equation

(3)-9(-1)=12

(0,-4/3) also make equation

Because

0-9(-4/3)=12

Only (0,12) is not making

Beacuse

(0)-9(12) is not equal to 12

Answer:

y = 5/9x + 19/3

Step-by-step explanation:

slope: 10 - 5 / 6 - (-3) = 5/9

point-slope form:

y - 5 = 5/9(x + 3)

y -5 = 5/9x + 4/3

y = 5/9x + 6 1/3

Answer:

I think 1024 days? Which is around 2 years...

Answer:

400

Step-by-step explanation:

please mark me brainliest if i was right

Answer:

Answer: The total cost is  assuming the cost for 1 adult is  and the cost for 1 child is

Step-by-step explanation:

Answer:

$2.54

Step-by-step explanation:

You divide 28 by 11 and you get 2.54545454545, which you can just sum down to 2.54 (I think thats right)

Answer:

how cane we find the angels but there is no angels

Answer:

where are the angels babe

Step-by-step explanation:

o-0

Answer:

3.75

Step-by-step explanation:

35 - 31 1/4 = 3.75

Clever567890 answer with the chicken ny dude

Answer:

43

Step-by-step explanation:

deltamath

Answer:43

Step-by-step explanation:

Answer:

x= 2/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

22−9x=9x+10

22+−9x=9x+10

−9x+22=9x+10

Step 2: Subtract 9x from both sides.

−9x+22−9x=9x+10−9x

−18x+22=10

Step 3: Subtract 22 from both sides.

−18x+22−22=10−22

−18x=−12

Step 4: Divide both sides by -18.

x=2/3

Answer:

7:8

Step-by-step explanation:

There are 7 sixth graders and 8 fifth graders. You don't put the whole of all of them in the ratio.

Answer:

C

Step-by-step explanation:

Remark

The easiest way to do this is to add the two givens together and then multiply by two. Why 2?  Because the formula is P = 2(L + W)

Givens

L = 8x - 2

W = 4x - 4

Solution

P = 2*(8x - 2 + 4x - 4)

P = 2*(12x - 6)

P = 24x - 12

C

Answer:

C--- x+y<-1y>2

Step-by-step explanation:

hope this helps!

have a good day :)

Answer:

Step-by-step explanation:

6 meters/ seconds

Step 1:  Find the unit rate

total distance/total time

54/9

6 meters / seconds

Awnser: 6 meters/ seconds

Answer:  

Answer:

She Travles 6 MPH

Step-by-step explanation:

6x9=54

Answer:

1/3 hr or 20 min.

Step-by-step explanation:

Call the trains A and B

Remember d = rt

Distance train A travels is 80t

Distance train B travels is 70t

Now, 80t + 70t = 50

              150t = 50

                    t = 50/150 = 1/3 hr or 20 min.

Answer:

number one is 22 number two is 16 number three is 32

Step-by-step explanation:

Answer:

D. 49.35

Step-by-step explanation:

[tex]\frac{4935}{100 X 100}[/tex] X 100 = 49.35

Answer:

3240°

Step-by-step explanation:

Formula is ( 2n-4)90° where n is the no of sides

(2×20-4)90°

(40-4)90°

36×90

3240°

Answer:

They need to sell more than 40 CDs to make a profit.

Explanation:

They will make a profit when the sales are higher than the cost and with the information provided, you can write the following inequality:

10x>300+2.5x, where x is the number of CDs sold

Now, you can solve for x:

10x-2.5x>300

7.5x>300

x>300/7.5

x>40

According to this, the answer is that they need to sell more than 40 CDs to make a profit.