Sarah is working towards paying off the rest of her student loan. The graph models the amount owed, in dollars, for x months. What does the slope represent?

Answer:

225

Step-by-step explanation:

number of 2 minutes in 30 minutes

= 30 ÷ 2 = 15

each 2 minutes produces 15 widgets , then

15 ( lots of 2 minutes ) produces 15 × 15 = 225 widgets

Answer:

$15 × .8 = $12

$12 × .75 = $9

Answer:

Part A is Figure D

Part B is 3 units left

Answer:6/7

Step-by-step explanation:

Answer:

162/189

Step-by-step explanation:

Divide by 2...................

LET US FIND THE GRADIENT

[tex]m = \frac{y2 - y1}{x2 - x1 \\ \\ } \\ = \frac{6 - ( - 2)}{(3 - ( - 3)} \\ = \frac{6 + 2}{3 + 3} \\ = \frac{8}{6} \\ m= \frac{4}{3} [/tex]

I WILL USE THE POINTS (-3,-2) TO GET THE VALUE OF C

[tex] - 2 = \frac{4}{3} ( - 3) + c \\ - 2 = - 4 + c \\ - 2 + 4 = c \\ c = 2[/tex]

THEREFORE THE EQUATION IS

[tex]y = \frac{4}{3} x + 2[/tex]

ATTACHED IS THE SOLUTION

Answer: B and D.

Step-by-step explanation:

1) Find 40% as a decimal

100% = 1

40% = 0.4

2) It's -40% of its total value. So minus its value time 40%.

p - 0.4p

3) Simplify

0.6p

A) 0.4p not equal 0.6p X

B) 0.6p = 0.6p

C) p - 0.4 not equal 0.6p X

D) p-0.4p = 0.6p

Answer:

es la b

Step-by-step explanation:

porque diego es good

:D

Answer:x=32°

y=35°

Step-by-step explanation:

23°+32°+y=90°

55°+y=90°

y=35°

35°+23°+x=90°

58°+x=90°

x=32°

Answer:

Angle AOE = angle FOB = 32° (vertically opposite angles)

x = 32°

Since GH is a straight line, angle COH = angle COG = 90°

Angle BOD = angle COA = y° (vertically opposite angles)

y = 90-32-23 = 35°

Given:

The quadratic equation ,

The solution of the given quadratic equation can be obtained as,

Hence, the solutions are,

If this is an arithmetic sequence, each of the terms will have a common difference. Let's check.

As we can see, each of the terms does not have a common difference. The first one is -18 while the other one is -126. Therefore, this is not an arithmetic sequence.

Now, let's check if this is a geometric sequence. If it is, each of the terms will have a common ratio.

As we can see, each of the terms has a common ratio which is 1/7. Therefore, 147, 21, 3 is a geometric sequence and the common ratio is equal to 7.

Answer:

basically the even twill not happen as the probability of that is 0

SOLUTION:

Step 1:

In this question, we are given the following:

Jason is putting crown molding in his master bedroom. The length of the room is 22 feet, and the width is 20 feet.

How much crown molding will Jason need if he wants to have 20% extra in case of mistakes or damage?

Step 2:

The details of the solution are as follows:

Then, we need to calculate 20% increase of 84 feet, we have that:

CONCLUSION:

The final answer is:

Answer:

First number: 21

Second number: 84

Third number: 30

21 times 4 = 84 which checks out.

30 - 21 = 9 which also checks out

21 + 84 + 30 = 135 so they are correct!

Step-by-step explanation:

Hope it helps! =D

Answer: Domain: [-4,infinity)

Range: (-infinity,6]

f(-1) is 3

Step-by-step explanation:

Answer: Domain: [tex]x\geq -4[/tex]

Range: [tex]y\leq 6[/tex]

f(-1) = 3

Step-by-step explanation:

(-4,6) and (0,2) are both points on the line, so the equation of the line is

y = -x + 2

1 + 2 = 3

Observing the given limit, as x approaches infinity, the quotient of two limits, f(x) and g(x) is equal to the constant

he definition therefore of the given is that it shows f(x) and g(x) grows at the same rate as x goes to infinity.

The probability that a 3 will be rolled would be 0.125 and the expected number of 6's roll would be 68.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The events' estimated probabilities are as follows, according to the exponential probability theory:

P(3) = 0. 125

P(6 in 500 rolls) = 68 rolls

Number of times event occurs / number of trials

A number of attempts = sum of frequency:

(12+35+11+23+7+12) = 88

So the probability that a 3 will be rolled as

⇒ number of 3's / number of attempts

⇒ 11/88 = 0.125

The number of 6's probable in 500 rolls

⇒ (12 /88) × 500

⇒ 68.18 = 68

Therefore, the expected number of 6's roll would be 68.

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It is better to buy 1 liter of soda for $1 compare to 1 gallon of soda for $4  .

As given in the question,

1 liter of soda for $1                    ____(1)

1 gallon of soda for $4

Relation between gallons and liters is given by:

1 gallon is equal to 3.785 liters

1 gallon of soda = $4

⇒ 3.785 liter = $4

⇒ 1 liter = $ ( 4 / 3.785 )

⇒ 1 liter = $ 1.056                _____(2)

From (1) and (2)

$1.056 > $1

It shows $1.056 is little bit higher than $1.

Therefore, it is better to buy 1 liter of soda for $1 compare to 1 gallon of soda for $4 .

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Using the concept of the slope of a linear function, it is found that:

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

For this problem, we have that Pool B starts with significantly less water than Pool A, but their volumes get closer, meaning that Pool B fills faster and has a higher slope, that is, it fills more gallons per minute into the pool.

The information above it what we use to complete the statements.

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Answer:

x>3

Step-by-step explanation:

5-2x<11

subtract 5on both sides of the equation

-2x<11-5

-2x<6

divide through by n negative 2,and the equality will change

X>-3

Hello there! Let's solve this inequality for the required variable, which is x.

With the given inequality, it can't be done in just one step, however it can be done in a few steps, which are as follows:

[tex]\implies\boldsymbol{5-2x < 11}[/tex]

[tex]\implies\boldsymbol{-2x < 6}[/tex]

[tex]\underbrace{\implies\boldsymbol{x > -3}}_\sf{answer}}[/tex]

I hope it helps, feel free to reach out if you have any queries :)

Answer:

Step-by-step explanation:

If Keesha walks 12 blocks to school and its 88 squares in the sidewalk then you multiply 12 by 88 and get 1056:)

hope this helps ^^

Answer:

y = 1/2x + 1/2

Step-by-step explanation:

I'm going to give me answer is gradient/slope form :

To work out the gradient we make a triangle from the line and do :

change in y / change in x

You should get 1/2

Now we have y=1/2x + c

to work out c we substitute a point from the line and solve for c :

Point (1 , 1)

1 = 1/2(1) + c

1 = 1/2 + c

c = 1/2

So our final answer is y = 1/2x + 1/2

Hope this helped and have a good day

All solutions to the cubic equation, 4•x³ + 16•x² + 28•x = 0, are presented as follows;

0, -2 + i•√(3), -2 - i•√(3), which is the option;

The solutions of a cubic function are given by the values at which the graph intersects the horizontal axis.

First Part

The graph showing the shaded region of the inequality is left out

Second part;

The given equation can be presented as follows;

4•x³ + 16•x² + 28•x = 0

Required;

To find all the solutions of the equation

Solution;

The solutions of the equation are given by the locations on the graph where the equation intersects the x–axis, which are therefore, the points where the function is equal to 0

The equation 4•x³ + 16•x² + 28•x = 0 can therefore be used to find the solution as follows;

4•x³ + 16•x² + 28•x = 0

x•(4•x² + 16•x + 28) = 0

x•(4)•(x² + 4•x + 7) = 0

x•(x² + 4•x + 7) = 0 ÷ (4) = 0

x•(x² + 4•x + 7) = 0

Which by the multiplicative identity of 0, gives;

Therefore;

x = 0 is a solution to the equation

The other solutions are found from the quadratic equation, x² + 4•x + 7 = 0, using the quadratic formula that gives the solution to the general quadratic equation, a•x² + b•x + c = 0, as follows;

[tex] \displaystyle{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 \times a \times c } }{2 \times a }}[/tex]

Comparing the general form of the quadratic equation to the quadratic equation from the question;

a•x² + b•x + c = 0

x² + 4•x + 7 = 0

Gives;

a = 1

b = 4

c = 7

Plugging in the above values of a, b, and c, we get;

[tex] \displaystyle{x = \frac{ - 4 \pm \sqrt{ {4}^{2} - 4 \times 1 \times 7 } }{2 \times 1} = \frac{ - 4 \pm 2 \cdot\sqrt{ - 3} }{2} }[/tex]

Which gives;

x = -2 ± √(-3) = -2 ± i•√(3)

The other solutions are therefore;

The solutions of the equation, 4•x³ + 16•x² + 28•x = 0, are therefore;

x = 0, x = -2+i•√(3), and x = -2 - i•√(3)

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Given:

A table with the given values of the function y=g(x).

To find the function that represents g(x), we substitute a value of x into the given options.

For:

g(x =3+2x:,:

Let x=3

Based on the given table, the value g(x) is 24 when x=3. So g(x)=3+2x is not the function that represents g(x).

For

The value of g(x) =18 when x=3, so this is not the function.

For g(x)=3x^2:

Hence, this is not the function as well.

For g(x)=3(2)^x:

We can notice that when x=3, the value of g(x) =24 which is the same as the value of g(x) in the given table.

To double check this, we plug in the other values of x.

Therefore, the answer is:

The total life expectancy of the kid is 45.5 years.

rate of increase of life expectancy = 1.5 years per day

The rate of reduction of life expectancy = 0.5 years per day

37 days will mean ((7x5)+2), i.e., 5 complete weeks and 2 extra days.

Let the 2 extra days be Tuesday and Wednesday, now the 5 complete weeks will start from Thursday and after 37 days, the day will be Wednesday.

In this duration 5 Sundays will come on which the kid falls ill, so the reduction in life expectancy will be: 0.5 x 5= 2.5 years.

The remaining days will be: 37 - 5 = 32

So, the increase in life expectancy will be: 1.5 x 32= 48 years.

Thus, the total life expectancy of the kid is found to be : (48-2.5)years=45.5 years.

What are linear equations?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where y and x are the variables.

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He drove for 2.3 hours.

The speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. 

A body's speed is the amount of distance it travels in one unit of time.

Therefore, the SI Unit for speed is the meter per second, abbreviated as m/s 

Formula

Speed = [tex]\frac{distance}{time }[/tex]

Time = [tex]\frac{distance}{speed}[/tex]

Given Data

Distance = 161km

Speed = 70km

Putting values in the formula

Time = [tex]\frac{161}{70}[/tex]

Time = 2.3

He drove for 2.3 hours.

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The conditional statement that the Venn diagram represents is:

"If it is a rose, then it is a flower".

Here we have a Venn diagram, in it we can see that the set called "roses" is included in the set called "flowers".

So, the conditional statement is:

"if it belongs to the smaller set, then it belongs to the larger set"

This is kinda trivial.

For our case, it will be written as.

"If it is a rose, then it is a flower".

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you get he common ratio by dividing a term by the previous term

so,

15/-5 = -3

common ratio = -3

Geometric seuqence has a general term of:

Wher

r is common ratio

a is first term

Given,

a = -5

r = -3

We have:

12th term is basically n = 12

So, we have: