In 1995 the town of Springdale had a population of 2,378. Over the next 20 years the town's population decreased by 12.5%. What was the population of the town in 2015?

Answer:

G is not a function

Step-by-step explanation:

Answer:

H.

Step-by-step explanation:

something is represented as a function when none of the inputs (x) repeat, but the outputs (y) change. the graph for letter G has repeating x values, but the y values don't change when an x repeats. however, the graph for letter H has repeating inputs (x), but the outputs are different, even with the same input.

that's why parabolas aren't functions (if you know what those are).

hopefully that helps and isn't too confusing! if you need anything else, let me know! :)

Given that,

The three numbers are consecutive

The three numbers are

x

x + 1

x + 2

Also,

x × (x + 1) = (x + 2) + 7

x² + x = x + 9

x² + x - x = 9

x² = 9

x = √9

x = 3

The three numbers

x = 3

x + 1 = 4

x + 2 = 5

The sum of the three numbers

3 + 4 + 5 = 12

Answer:

she is correct because if you reflect that over the Y axis

Given:

Kevin bought twelve 8-ounce bottles of water.

1 ounce ≈ 30 ml

To find:

The quantity of water in milliliters

Solution:

We have,

1 ounce ≈ 30 ml

8 ounce ≈ 8×30 ml

8 ounce ≈ 240 ml

It means, one 8 ounce bottle can hold about 240 milliliters of water.

Total number of bottles = 12

So, the quantity of water Kevin buy in milliliters is

[tex]12\times 240=2880[/tex]

Therefore, Kevin buys 2880 milliliters of water in twelve 8-ounce bottles.

Answer:

c

Step-by-step explanation:

a third party group in which no naps occur

Answer:

C. x = 8

Step-by-step explanation:

We know that x · x · x is equal to 512. We know it cannot be negative because then the 512 would be negative. -2 x -2 x -2 is -8. -2 x -2 is 4. We know it cannot be B x = -6 or D. x = -8.

Let's multiply 6 x 6 x 6.

                           36 x 6 = 216.

Let's multiply 8 x 8 x 8.

                          64 x 8 = 512

The answer would be C. x = 8.

I hope that this helps! :)

Answer:

8

Step-by-step explanation:

x³ = 512

x³ = 8³

Cube root on both sides,

x = 8

Answer:

XY - 9 = XY

Step-by-step explanation:

You need to be careful when you are driving so 3+y is not the answer because 3 means dead in the language of god and y means yo so Its not the answer. Hope it helps

Answer:

See below

Step-by-step explanation:

Let number of days be d, then the equation is:

Solution of the equation

Answer:

y = -2x + 7

Step-by-step explanation:

We are given the slope so find the y-intercept using slope-intercept form [ y = mx + b ]

y = -2x + b

7 = -2(0) + b

7 = 0 + b

7 = b

Put everything we know/solved for into the original formula.

y = -2x + 7

Best of Luck!

to work this out you need to solve for your y-intercept. by using what you have.

once you do so you get the answer y=1/2x+3

Answer:

$70/day

Step-by-step explanation:

7 days = 490

1 day   =     X

Cross multiply

7X  =  490

Divide both sides by 7

X=70

Your answer would be 0.6, 3/5, and 6% are the 3 same portion. But, when they're all changed to a decimal they would equal to 0.6.

Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

The exterior angle is equal to the sum of the interior angles in a given triangle.

The measure of the other remote interior angle is 60°.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Let the measure of the other interior angle = M

The exterior angle is equal to the sum of the interior angles in a given triangle.

An exterior angle of a triangle has a measure of 80°, and one of the remote interior angles has a measure of 20°.

This means,

M + 20 = 80

Solve for M.

M + 20 = 80

Subtract 20 on both sides.

M = 80 - 20

M = 60

Thus,

The measure of the other remote interior angle is 60°.

Learn more about triangles here:

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Explanation:

The equation d = 65t means that the rate is r = 65. So Malcolm's family travels at an average rate of 65 mph. Note this is the slope of the line.

The graph has a slope of 50 because each time we go up 50, we move to the right 1. Ie, slope = rise/run = 50/1 = 50. You could use the slope formula to get the same result.

Since the graph has a slope of 50, this means Theo's family is going at an average speed of 50 mph.

Subtract the two speeds to get 65-50 = 15 mph

Answer:

the 10.5

Step-by-step explanation:

it is lower than the other cost if it is multiplied by three and bigger amount than the other if multiplied by three

Answer:

The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity  and h is the height in meters.

Hope this helps

Answer:

physical education

Step-by-step explanation:

p: physical

E: education

Answer:

237600 feet per hour

Step-by-step explanation:

there are 5280 feet in a mile

if he is going 45mph you multiply 45 by 5280

45 x 5280 = 237600

Answer:

y= 3/2x+ 360

Step-by-step explanation:

3/2 is the slope

360 is the b (y intercept)

Answer:

slope m = -60

equation y = -60x + 360

Step-by-step explanation:

to find slope use two points given

(x1, y1) = (6, 0)

(x2, y2) = (0, 360)

m = (360-0) / (0-6) = -60

equation y = mx + b

b is the y intercept at (0,360), b= 360

y = -60x + 360

Answer:

Range

The set of output values is called the range of the function.

Answer:

6.4

Step-by-step explanation:

Answer:

y=1/3x+45

Step-by-step explanation:

Answer: 32x - 96

Step-by-step explanation: If I’m not wrong, that’s the answer. You distribute the 8 to each of the numbers, so you multiply. 8 multiplied by 4x would be 32x. 8 multiplied by 12 is 96. You then put the subtraction sign in. You could also think of it as 8 times -12. That’ll still get you -96. It would be 32 and the negative 96, so it seems like the negative is the subtraction sign. I suck at explaining, but I hope thing helps

Answer:

2³×3²

Step-by-step explanation;

Prime Numbers are numbers which which have only two factors the number itself and one

Examples of Prime Numbers are;

2,3,5,7,11,13,17,19,23,29,etc

To Find The Prime Factorization Of The Number 72 you'll need to follow this;

72=2×36(we have the number 36 because when it's multiplied by 2 the product is 72 and 36 is not a prime number so it has to be broken down but since 2 is a prime number you leave it as it is)

72=2×2×18(we have 2×18 because because it's give us the product of 36 when multiplied so now that we have a second prime number(2) we will have to continue to break down the number 18)

72=2×2×2×9( We again have two another 2 and 9 here because when multiplied by each other its product is 18 so as we can see 9 is not a prime number so we have to break it down but the 2 is a prime number so we let it be)

72=2×2×2×3×3( As we can see here, 3 and 3 is a prime number so nothing happens to it so we have broken the non-prime numbers down so now we have all the numbers as Prime Numbers)

So; 72=2×2×2×3×3

So we are going to count the twos and threes so as you can see we have three twos and we have two threes. Which makes our final answer;

2³×3²

So The Prime Factorization of 72 is; 2³×3²

Answer

2, i can't find any other solution

Step-by-step explanation:

you divided both sides by 4 you get x - 3 = 2/2 plus 3 = 5 = x

To solve an equation 4(c - 3) = 8 the correct ways are

1. Use the distributive property to get 4c - 12 = 8

2. 2. Divide both sides by 4 to get c - 3 = 2

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

The two ways to start solving the equation 4(c - 3) = 8 are:

Use the distributive property to get 4c - 12 = 8, then add 12 to both sides to get 4c = 20, and finally divide both sides by 4 to get c = 5.

This method uses the distributive property to simplify the left-hand side of the equation before solving for c.

Divide both sides by 4, and we get,

4(c - 3)/4 = 8/4

c - 3 = 2

c = 5.

Therefore, the two ways are given above.

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Answer:

You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.

If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.  

If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.  

this pattern keeps repeating.

Answer:

x = 14

m∠A = 38°

m∠C = 71°

m∠D = 71°

Step-by-step explanation:

By the property of a triangle,

"Sum of interior angles of a triangle is 180°"

m∠A + m∠C + m∠D = 180°

By substituting the values of the angles given in the question,

(3x - 4)° + (5x + 1)° + (7x - 27)° = 180°

(3x + 5x + 7x) + (-4 + 1 - 27) = 180

15x - 30 = 180

15x = 210

x = 14

Therefore, m∠A = 3x - 4

                           = 3(14) - 4

                           = 38°

m∠C = 5x + 1

        = 5(14) + 1

        = 71°

m∠D = 7x - 27

         = 7(14) - 27

         = 98 - 27

         = 71°

Answer:

y=2/3x-7

Step-by-step explanation:

The slope intercept formula is

y=mx+b

(m) is the slope (rate of change)

(b) is the y intercept (where the line crosses the y axis [vertical])

We need to find the slope and the y intercept. First we will find the slope.

The formula for slope is y1-y2/x1-x2

In and ordered pair the first value is the (x) and the second is the (y).

(x, y)

We take the (y) of one of the given points and subtract the (y) of the second given point, then divide it by the (x) of one of the given points and the (x) of the other given point.

5-(-1)/8-4

Simplify.

5-(-1) =5+1= 6

8-4=4

6/4 Simplify

3/2 is our slope.

Now we apply out new slope into our y=mx+b

y=3/2x+b

Now we need to find the (b) which is the y intercept.

To do this we need to use one of our given points, you can choose either but for this I'll use (4, -1).

In this ordered pair 4 is the (x) and -1 is the (y)

So replace (y) with -1 and (x) with 4

-1=3/2(4)+b

Now solve as usual.

-1=6+b

subtract 6 from each side

-7=b

b=-7

Put our (m) and (b) into our formula.

y=2/3x-7 is our equation.