Find the formula for an exponential function that passes through the 2 points given

1) n times 7

times means multiplication

7n

After 4 years the percentage of never-married adults will be the same as the percentage of married adults.

The data can be modeled by the following system of linear equations.

-3x+10y = 160

x+2y=164

Multiply the second equation with 3

-3x + 10y = 160 .....equation 1

3x + 6y = 492........equation 2

adding equation 1 and 2

16y = 652

y = 40.75

x + 2y = 164

x = 164 - 2 (40.75)

x = 82.5

Let the number of years be t

-3x+10y x t = x+2y

t = 4x - 8y

t = 330 - 326

t = 4 years

Therefore, after 4 years the percentage of never-married adults will be the same as the percentage of married adults.

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Answer:

30 degrees

Step-by-step explanation:

There are 360 degrees of longitude ( 360 degrees is a complete circle)

   It takes 24 hours to complete a complete rotation of the earth

       360 degrees / 24 hours = 15 degrees / hr

15 degrees/ hr * 2 hr = 30 degrees

The ordered pair:

it is located at:

Since the point lies on the y-axis it doesn't not lie in any quadrant

We have a scatter plot.

We have to find the closest value to y on the line of best fit when x = 9.

We can estimate a line of best fit by hand in the graph as:

Although we have a data point where x = 9 and y =9, the line of best fit is kind of in between the two groups of points.

When we draw the line like this, the estimated value from the line of best fit when x = 9 is y = 12, as we can see in the graph.

Answer: 12

Answer:

y = 1/10x + 9/10

Step-by-step explanation:

Find slope intercept form: –2x = –20y + 18

slope intercept form: y = mx + b

_______________________________

–2x = –20y + 18

add 20y to both sides:

–2x + 20y = –20y + 18 + 20y

–2x + 20y = 18

add 2x to both sides:

–2x + 20y + 2x = 18 + 2x

20y = 18 + 2x

divide all terms by 20:

20y/20 = 18/20 + 2x/20

y = 9/10 + 1/10x

reorder terms for slope intercept form:

y = 1/10x + 9/10

Answer:

[tex]y=\dfrac{1}{10}x+\dfrac{9}{10}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Given equation:

[tex]-2x=-20y+18[/tex]

To write the given equation in slope-intercept form, make y the subject.

Add 20y to both sides:

[tex]\implies 20y-2x=-20y+18+20y[/tex]

[tex]\implies 20y-2x=18[/tex]

Add 2x to both sides:

[tex]\implies 20y-2x+2x=2x+18[/tex]

[tex]\implies 20y=2x+18[/tex]

Divide both sides by 20:

[tex]\implies \dfrac{20y}{20}=\dfrac{2x+18}{20}[/tex]

[tex]\implies \dfrac{20y}{20}=\dfrac{2x}{20}+\dfrac{18}{20}[/tex]

[tex]\implies y=\dfrac{1}{10}x+\dfrac{9}{10}[/tex]

Therefore, the given equation in slope-intercept form is:

[tex]\boxed{y=\dfrac{1}{10}x+\dfrac{9}{10}}[/tex]

Solution

Step 1

Let the number of yo-yos than toy bears = x

Given R is between G and Z.

GZ=12 inches

RG=3 inches.

Since, R is between G and Z,

It follows

So, RZ is 9 inches.

EXPLANATION

Let's see the facts:

Austin and Carly deposit: $500

Interest rate= 1%

Compounding period = monthly

Total number of years = 2

Given the Compounding Interest Rate formula:

n is the compounding period

t is the number of years

r is te interest rate in decimal form

Replacing the given values will give us:

Solving the power:

Answer: Austin and Carly will be able to spend $510.09.

First, we have to get rid of the parenthesis, to do that, we just multiply signs to get

Now, we sum these numbers since they have the same signs

Therefore, the answer to (a) is -56.

We get rid of the parenthesis

Then, we subtract these numbers since they have different signs

Therefore, the answer to (b) is 10.

We just subtract these numbers since they have different signs

Therefore, the answer to (c) is 3.

We just subtract

Therefore, the answer to (d) is -5.

We just sum

Therefore, the answer to (e) is 96.

Part 1

we have the inequality

3x-2y < 10

isolate the variable y

-2y< -3x+10

Multipli by -1 both sides

2y > 3x-10

the solution is the shaded area above the dashed line 2y=3x-10

using a graphing tool

see the attached figure

please wait a minute to draw the solution

isolate the variable y

the solution is the shaded area above the solid line 3y=5x+15

using a graphing tool

see the attached figure

Part 7 we have the inequality

Solve:

p=-6

Solution

Given the circle with 25 yard diameter

Circumference of a circle = 2πr

Circumference = πd

Therefore the correct answer = 25pi

Hence the correct answer is Option A

To calculate the probability of event A, divide the number of outcomes favorable to A by the total number of possible outcomes.

so

Step 1

a)let

b) now, replace in the formula and simplify

.

therefore, the answer is

I hope this helps you

Answer:

There is no question

Step-by-step explanation:

Have a nice day

Step 1: We have the following equation:

3(x - 5) = 5x - (3 - x)

Step 2: Solve the parentheses

3x - 15 = 5x - 3 + x

Step 3: Like terms

3x - 5x -x = - 3 + 15

-3x = 12

Step 4: Dividing by -3 at both sides

-3x/-3 = 12/-3

x = -4

Step 5: Let's prove the answer is correct

3 (-4 - 5) = 5 * -4 - (3 - -4)

3 (-9) = -20 -3 - 4

-27 = - 27

The solution is correct

Answer:

Over 98 years, London scored 75.14% per season between 254 and 338 points.

Step-by-step explanation:

The distance traveled by airplane is 180 miles.

The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°

The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.

Then, the total distance traveled by airplane will be:

= 100 miles + 80 miles = 180 miles.

The speed can be defined as the distance traveled by the total time taken.

Speed = distance/time

Speed = 180 miles/ 1 hour

Speed = 180 miles/60 minutes

Speed = 3 miles per minute

The angle of direction from its origin will be:

tan (x) = 100 miles/80 miles

x = tan⁻¹ ( 100/80)

x = tan⁻¹ ( 10/8) =  tan⁻¹ ( 5/4)

x = 51.34°

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Total fee = $75

Number of months = 3

Divide the total fee by the number of months

75/3 = $25 per month

The number of people to be seated around the table, n=5.

Now, n=5 people can be seated in a circle in (n-1)! ways.

Therefore, Joe, Mary, Steve, Tina and Brenda can be seated around the round table in 24 ways.

First, lets note that the given functions are polynomials of degree 2. Since the domain of a polynomial is the entire set of real numbers, the domain for all cases is:

Now, lets find the range for all cases. In this regard, we will use the first derivative criteria in order to obtain the minimum (or maximim) point.

case 1)

In the first case, we have

which corresponds to the point (-1,-8). Then the minimum y-value is -8 because the leading coefficient is positive, which means that the curve opens upwards. So the range is

On the other hand, the horizontal intercept (or x-intercept) is the value of the variable x when the function value is zero, that is,

which gives

Case 2)

In this case, the first derivative criteria give us

Since the leading coefficient is positive, the curve opens upwards so the point (-1,5) is the minimum values. Then, the range is

and the horizontal intercepts do not exists.

Case 3)

In this case, the first derivative criteris gives

Since the leading coeffcient is negative the curve opens downwards and the maximum point is (0,9). So the range is

and the horizontal intercepts occur at

Case 4)

In this case, the first derivative yields

since the leading coefficient is postive the curve opens upwards and the point (2,-12) is the minimum point. Then the range is

and the horizontal intercetps ocurr when

Case 5)

In this case, the leading coefficient is positive so the curve opens upwards and the minimum point ocurrs at x=0. Therefore, the range is

and thehorizontal intercept is ('0,0).

In summary, by rounding to the nearest tenth, the answers are:

Given the word problem, we can deduce the following information:

1. The line that passes through the points (5,2) and (13,3).

We can get the slope of the line using the slope formula:

Based on the given points, we let:

We plug in what we know:

Therefore, the answer is c. m=1/8.

From the given figure, we can see that the angle (12x+4) and the angle (17x+2) lie on the same straight line.

Theerfore, they are supplimentary to each other.

the value is 7 and keep the y^2

so is

The postulate that is illustrated for the real numbers 2(x + 3) = 2x + 6 is The Distributive postulate , the correct option is (E) The Distributive postulate .

The Distributive Postulate states that for any three numbers a,b and c ,

a(b+c) = a*b + a*c

For Example : 5(6+1) = 5*6 + 5*1

                       5*7 = 30+5

                        35=35

In the question ,

it is given that

2(x + 3) = 2x + 6

On applying Distributive postulate in 2(x + 3)

we get

= 2*x + 2*3

= 2x + 6

hence Distributive postulate is applied in 2(x + 3) = 2x + 6 .

Therefore , the postulate that is illustrated for the real numbers 2(x + 3) = 2x + 6 is The Distributive postulate , the correct option is (E) The Distributive postulate .

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Solution:

Consider the following diagram

extremes and means are multiplied in the diagram. Then we have that:

and this number is represented on the real line as follows:

In order to calculate and simplify this product, we need to use the following properties:

So we have that:

So the result in the simplest radical form is 90√2.

Answer:

-7

Step-by-step explanation:

Tiger Woods was 15 under par after the third round of a golf tournament, but was 8 over par for the fourth round. So, his score for the entire tournament was -15 + 8 = -7 (That is, 7 under par).

Randy and Wade started riding a bike at noon. Noon is 12 pm. Both of them are heading towards each other and 60km.

let

speed of wade = x

speed of Randy = 4 + x

They met each other at 1:30 pm. 12 pm to 1:30 pm is 1 hour 30 minutes(1.5 hours). Both of them will cover a total distance of 60km.

Therefore,

speed of wade = 18km/hr

speed of Randy = 4 + 18 = 22km/hr