Carley's progress from a 5-kilometer race is displayed in the following graph.



Based on this scatterplot, if Carley runs in a 4-kilometer race and she maintains the same pace, how many minutes will it take her to run 4 kilometers?

Answer:

(3x)(x-2)(x-1)

Step-by-step explanation:

First we can factor out the 3x from each and are then left with x^2-3x+2. Now we can go ahead and factor. Looking for two variables that multiply to become positive 2 and add to become negative 3, we get negative 2 and negative 1. We now know that both (x-1) and (x-2) are factors. We now have all three factors and we can multiply to check if we get the right answer, and we do.

Answer:

it is 3:1

Step-by-step explanation:

Answer:23%

Step-by-step explanation:

1

We are given the data:

2

The definition of percent increase is:

3

We determine the percent of increase:

Answer:

7

Step-by-step explanation:

The function is f(x) so if x is replaced with a number, that's the value that x is in the equation. In this case, it'll be -5, so go to -5 on your graph. The y value is 7.

Answer:If i am correct i think the right answer is -14x-4

Step-by-step explanation:

Answer: 48

Step-by-step explanation:

36/3 =12

12+ 36 = 48

48-75% = 12

Hope this helps

Answer:

1. x= 3y+6/2

y=2/3x-2

2.x=−y+3

y=−x+3

Step-by-step explanation:

1. Let's solve for x.

y=2/3x-2

Step 1: Flip the equation.

2/3x-2=y

Step 2: Add 2 to both sides.

2/3x-2+2=y+2

2/3x=y+2

Step 3: Divide both sides by 2/3.

2/3x/2/3=y+2/2/3

x= 3y+6/2

Let's solve for y.

y=2/3x-2

2. Let's solve for x.

y=−x+3

Step 1: Flip the equation.

−x+3=y

Step 2: Add -3 to both sides.

−x+3+−3=y+−3

−x=y−3

Step 3: Divide both sides by -1.

-x/-1=y-3/-1

x=−y+3

Let's solve for y.

y=−x+3

here are two graphs if you need a better explanation

HOPE THIS HELPS

Answer:

9.1 gallons of water.

Step-by-step explanation:

A standard showerhead dispenses 21 gallons of water in 30 mins. At this rate, how many gallons of water will a standard showerhead dispenses in 13 minutes?

30 minutes = 21 gallons

13 minutes = x gallons

Cross Multiply

30 minutes × x = 13 minutes × 21 gallons

x = 13 minutes × 21 gallons/30 minutes

x = 9.1 gallons of water

Therefore, a standard showerhead dispenses 9.1 gallons of water in 13 minutes.

Answer:

18 1/5

Step-by-step explanation:

1. First, we can convert all the x's into 3's

Our Equation: 3+1/2 + 15 - 3/10

2. Now we know that 3+1/2 = 3 1/2

Our Equation : 3 1/2 + 15 - 3/10

3. Now, we can add 3 1/2 + 15

Our Equation: 18 1/2 - 3/10

4. Next we can convert 1/2 so that the denominator is 10 and we get 18 5/10

Our Equation: 18 5/10 - 3/10

5. Now, we can subtract 3/10 from 5/10

Our Answer: 18 2/10 or 18 1/5

Hope this Helps!!! :)

Let me know in the comments if the answer was perfect or if I should change anything!!! :)

Answer:

6x+8y = 3

Step-by-step explanation:

we have 3x + 4y = 7

4y = -3x + 7

y = -3/4 x + 7/4

so slope is -3/4

2 parallel lines always have same slope

so the slope of our new line is -3/4

so y = -3/4 x + C

for c,

we have (x,y) = (-2/3,7/8)

7/8 = -3/4 * -2/3 + C

C = 3/8

so equation is

y = -3/4 x + 3/8

simplyfyig,

8y = -6x + 3

or, 6x+8y = 3

Answer: R=5 D=10

Step-by-step explanation: If I am correct the radius is 5 while the diameter is 10. All you need to do is subtract 7 by 2 ( from the coordinates) giving you five. Now if you multiply 5 by 2 you get 10 which is the diameter. Hope this helps and best of luck.

Given:

Principal value = $12000

Rate of interest = 2.5%

To find:

Total amount after 15 years.

Solution:

Formula for amount discontinuously compounded interest is

[tex]A=Pe^{rt}[/tex]

where, P is principal, r is rate of interest and t is time in years.

Substitute P=12000, r=0.025 and t=15 in the above formula.

[tex]A=12000e^{0.025(15)}[/tex]

[tex]A=12000e^{0.375}[/tex]

[tex]A=12000(1.45499141462)[/tex]

[tex]A=17459.8969754[/tex]

[tex]A\approx 17459.897[/tex]

Therefore, the amount after 15 years is $17459.897.

Answer:

.50

Have a good day

Answer:

A. [tex]y=-\frac{5}{2} x+2[/tex]

P.S. Sorry, the first answer I input wasn't registered well

Answer:

1. Slope = -2

2. Slope = ⁴/3

3. Slope = -3

4. Slope = 1

Step-by-step explanation:

1. Using two points on the line, (0, 0) and (-1, 2):

[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{2 - 0}{-1 - 0} = \frac{2}{-1} = -2 [/tex]

2. Using two points on the line, (0, 0) and (3, 4):

[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{4 - 0}{3 - 0} = \frac{4}{3} [/tex]

3. Using two points on the line, (0, 0) and (-1, 3):

[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{3 - 0}{-1 - 0} = \frac{3}{-1} = -3 [/tex]

4. Using two points on the line, (0, 0) and (2, 2):

[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{2 - 0}{2 - 0} = \frac{2}{2} = 1 [/tex]

Answer:

[tex]1.25 \times {10}^{2} = 125 [/tex]

Step-by-step explanation:

[tex] \frac{5 \times {10}^{6} }{4 \times {10}^{4} } = \frac{5}{4} \times \frac{ {10}^{6} }{ {10}^{4} } = 1.25 \times {10}^{2} = 125[/tex]

Answer-5 + -4 = -9. The answer is “add -4”

Step-by-step explanation:

Answer:

a n = − 4 n − 1

Step-by-step explanation:

Use the formula  a n = a 1 + d ( n − 1 )  to identify the arithmetic sequence.

9514 1404 393

Explanation:

In general, a system of equations has a solution that satisfies all of the equations. That is, the solution set is the intersection (and) of the solution sets of the individual equations in the system. Equations involving the absolute value function are no different.

That being said, you need to consider the meaning of an equation involving the absolute value function.

The function itself is piecewise defined:

  [tex]\displaystyle |x|=\left\{ {x, x\ge0} \atop {-x, x<0}} \right.[/tex]

So, any equation involving the absolute value function automatically resolves to two equations, each with its own condition on the function value.

__

Example 1:

  |x+1| > 3

is equivalent to the two disjoint conditional equations ...

  (x +1) > 3  and  (x +1) ≥ 0 . . . . OR

  -(x +1) > 3  and  (x +1) < 0

the first of these has the solution x > 2; the second of these has the solution x < -4. The solution set of this equation is the OR of the two solution sets:

  x < -4  or  x > 2

__

Example 2:

  |x +1| < 3

is equivalent to the two disjoint conditional equations ...

  (x +1) < 3  and  (x +1) ≥ 0 . . . . OR

  -(x +1) < 3  and  (x +1) < 0

The first of these has the solution -1 ≤ x < 2, and the second of these has the solution -4 < x < -1. Again, the solution set of this equation is the OR of the two solution sets. However, we find we can write that union as a single compound inequality:

  -4 < x < 2

__

When an absolute value equation involves more than one absolute value function, then the equation will probably resolve into multiple equations, each defined on its own domain. Sometimes keeping those domains straight can be tedious.

Above, we have considered inequalities. If you have an equation, you need to consider that it will likely resolve to two equations. The solution set will be the OR of the solutions to those two equations.

Example 3:

  |x +1| = 3

is equivalent to the two conditional equations ...

  (x +1) = 3  and  (x +1) ≥ 0 . . . . OR

  -(x +1) = 3  and  (x +1) < 0

The first of these has the solution x = 2; the second has the solution x = -4. The solution set is the OR of these two solutions:

  x = -4  or  x = 2

__

The "and" condition restricts the domain of each of the individual pieces of the equation. The "or" condition applies to the collection of solutions that may exist in each of those restricted domains.

Answer:

$2000

Step-by-step explanation:

The value of the savings account is

v(m) = 2000(1.005)^m

where m is the number of months.

Compare with the formula for compound interest,

F = P(1 + r)^(nt)

where P = principal amount invested.

Answer: $2000

Answer:

x-y

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the x  and y are both incresing at the same rate

Step-by-step explanation:

I guess u can try Making graphs

D is the right one

My suggestion for u is that u can be sure by making graph

try it

hope this will help you

BORAHAE

Answer:

"sixty-three hundredths of a Kilometer"

Step-by-step explanation:

Decimal measurements are read based on the place of their digits. In this case, Ajay would read this measurement as "sixty-three hundredths of a Kilometer". This is because the final digit of the decimal form measurement is in the "hundredths" position. One more to the right and it would be in the "thousandths" while one more to the left would be the "tenths"

Answer:

2l+28*7=

28*7=196

196+21= 217

Step-by-step explanation:

First you would multiply 28 and 7 then you'll get 196. Then you add 21 and get 217.

Answer:

what are you trying to find?

Answer:

the answer is 30 in2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The cylindrical part

Area of the cylindrical part = Circumference of the circle * height

Area of the cylindrical part = pi * d * height

Area = 3.14 * 10 * 9

Area =                                                                                282.6

Lid

Area = pi * r^2

r = 5

Area = 3.14* 5^2 * 2

Area =                                                                                 157

Total                                                                                    439.6                                                                        

I know this doesn't look right according to the diagram, but it is the only way that you can solve the question. That is, you must assume there are two lids, not one as the diagram suggests.