what is the equation for the line with slope (rate of change) 2/3 and y-intercept 9

f(x) = -2x² + 8x - 8 by computing f(-1) + f(1) we get -20 and we don't need to calculate f(1) - f(1) it will be 0.

A function can be thought of as an output for the given inputs.

According to the given question f(x) = -2x² + 8x - 8 we have to compute

A. f(-1) + f(1) = { -2(-1)² + 8(-1) - 8 } + { -2(1) + 8(1) - 8 }.

f(-1) + f(1) = { (-2 - 8 - 8) + (- 2 + 8 - 8) }

f(-1) + f(1) = - 18 - 2.

f(-1) + f(1) = - 20.

B.  f(1)-f(1) = 0 ( we don't need to calculate )

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keeping in mind that a year has 12 months, thus 18 months is really 18/12 of a year.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$300\\ r=rate\to 15\%\to \frac{15}{100}\dotfill &0.15\\ t=years\to \frac{18}{12}\dotfill &\frac{3}{2} \end{cases} \\\\\\ I = (300)(0.15)(\frac{3}{2})\implies I=67.5[/tex]

The time takes Ben to walk to the library is 80 minutes.

Given that, Ben can walk to the library 4 miles away, but it takes him 20 minutes longer than it would walk to school 3 miles away.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the time taken Ben to walk to the school be x, so the time taken to walk to the library be x+20.

Now, 4 : x+20 :: 3 : x

⇒4x=3(x+20)

⇒4x=3x+60

⇒x=60

So, x+20=80

Therefore, the time taken by Ben to walk to the library is 80 minutes.

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Answer:

2,736

Step-by-step explanation:

hope this helps! :)

The value of the numbers x and y is a 3 and 25.

According to the statement

We have to find that the value of the numbers.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

One number is seven more than six times another number. If the sum of the numbers is 28.

Then

Let The first number = y

The second number = x

Hence, y = (7 + 6x)

Their sum is therefore;

x + 7 + 6x = 28

7x = 21

x = 3

Hence, the second number is a; 7 + 6x = 7 + 6(3);

y = 25.

So, The value of the numbers x and y is a 3 and 25.

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Answer:

C. 25%

Step-by-step explanation:

if you add 4 4 times, you get 16, and .25 equals 1/4.

Hope this helps!

Answer:

25%

Step-by-step explanation:

4/16 = 0.25 = 25%

The model of the total cost of the Family Plan will be 90 + 30P.

It should be noted that Family Plan has $90 monthly fee, unlimited talk and text on up to 5 lines, and data charges of $30 for each device for up to 2 GB of data per device.

Therefore, the model will be:

= 90 + 30P

where p = number of devices

In conclusion, the model of the total cost of the Family Plan will be 90 + 30P.

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Answer:

this is called as ascending order, it is when numbers are arranged from least to greatest

here is the answer:

ivan:0.58

pete:0.537

kat:0.4996

Step-by-step explanation:

so you have to look at the nmbers and how many digits they have for example,

ivan's number has 3 digits so its the least

kat has 5 digits so its the greatest

The Line t || Line v the  value of angle m∠5  is 69.28° .

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

Line t || Line v

m∠5 =5x + 45

m∠7 = 12x - 11,

According to given question we have

Line t || Line v

Using the property of interior angles on same sides we get

m∠5 =m∠7

5x + 45=12x - 11

compare like terms we get

45-11=12x-5x

34=7x

x=34/7°

By put the value of x

m∠5 =5x + 45

m∠5 =5*34/7+45

m∠5 =485/7=69.28°

m∠7 =12x - 11=12*34/7-11

m∠7 =331/7°

m∠7 =47.28°

Therefore, the Line t || Line v the  value of angle m∠5  is 69.28° .

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Answer: x=-7, y=0

Step-by-step explanation:

You can see just by the set up that the x values cancel each other out without you having to do anything(-2x+2x=0). Because of this, you can add the two equations to eliminate the x values.

-2x+8y = 14

2x+8y= -14    -------->   16y=0

When you isolate the variable, you get y=0. Now you can choose one of the original equations and substitute 0 into the y value.

-2x+8y = 14 ---> -2x+8(0) = 14 ----> -2x+0 = 14 ---> -2x=14

When you divide both sides by -2, you get x=-7.

The number of cups of chocolate chips she should use is 3 cups.

Consider a cookie recipe in which 1½ cups of chocolate chips are needed to make 25 cookies.

She decided to double the number of cookies.

Therefore,

Remember she wants to double the size of cookies,

25 cookies =  1½ cups of chocolate chips

2(25 cookies) = ?

cross multiply

number of cups of chocolate chips required = 50 × 1.5 / 25

number of cups of chocolate chips required = 75 / 25

number of cups of chocolate chips required = 3 cups

Therefore, the number of cups of chocolate chips she should use is 3 cups.

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we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.

Let the cost of number of movies be x and the cost of number of video games be y.

So, the equations are:

5 x + 3 y = 39

2 x + 12 y = 75

2 x = 75 - 12 y

x = 75/2 - 6 y

Put it in the first one, we get that:

5 ( 75/2 - 6y) + 3y = 39

375/2 - 30 y + 3 y = 39

27 y = 187.5 - 39

27 y = 148.5

y = 148.5 / 27

y = $ 5.5

x = 75/2 - 6 y

x = 37.5 - 6 (5.5)

x = 37.5 - 33

x = $ 4.5

Therefore, we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.

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The value of x is 10.

Option C is true.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

x/7 = 3x + 20/ 35

Now, We can solve as;

x/7 = 3x + 20/ 35

Multiply 35 in both side,

35 × x/7 = 35 × (3x + 20)/35

5x = 3x + 20

Subtract 3x both side,

5x - 3x = 3x + 20 - 3x

2x = 20

Divide 2 both side,

x = 10

Hence, The value of x is 10.

Option C is true.

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Answer:

x = 3

y = 15

Step-by-step explanation:

Answer:

The Answer is D

Step-by-step explanation:

you just have to look for the letter that's giving you it not subtracting it. And look for the right amount.

Answer:

159.25

Step-by-step explanation:

you just have to multiply 13 by 12.25

Based on the beginning office supplies balance, the supplies purchased by the company, and the supplies available at December 31, the journal entry for supplies is:

Date              Account title                                           Debit          Credit

XX-XX           Office supplies expense                      $14,131

                      Office supplies                                                       $14,131

The supplies expense can be found as:

= 3,225 + 13,319 - 2,838

= $13,706

This supplies expense will be debited to the office supplies expense and credited to the office supplies account.

Question:

Record the entry to the Office supplies account

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Answer:

-10/39

Step-by-step explanation:

I Think that thats the anwser i hope this helps.

With an HCF of 6 and an LCM of 60, the numbers 12 and 30 are greater than 6.

Two numbers with HCF 6 can be:

6a, 6b where a, b are coprime numbers a, b > 1 as numbers greater than 6.

As a result, a and b can be 2 or 5.

The numbers are 6 × 2 and 6 × 5.

Therefore, with an HCF of 6 and an LCM of 60, the numbers 12 and 30 are greater than 6.

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The volcano is growing larger by 1 cm/year.

In order to determine if the volcano is growing or wearing down, determine the cm that the volcano wears down each year. To do this, we would be dividing the total cm the volcano wears down by the number of years.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

The cm the volcano wears down each year = 20 cm / 5 = 4cm

10 / 2 = 5cm

5cm - 4cm = 1 cm

This means that the volcano is growing at 1 cm per year.

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Answer:

[tex]\pi[/tex]

Step-by-step explanation:

If a number can be written as an integer/integer in a fraction form or in a decimal form as a terminating or repeating decimal, it is rational.  An integer is a set up numbers that fall into this pattern:

...-3,-2,-1,0,1,2,3...

0.16 is a terminating decimal or 16/100 as a fraction.

2.53 is a terminating decimal or 253/100

-1/5 can be written as a decimal at -0.2 and it terminating.

The coordinates of the new vertices of the rectangle are P''(x, y) = (- 1, - 4), Q''(x, y) = (- 6, - 4), R''(x, y) = (- 6, - 1) and S''(x, y) = (- 1, - 1).

In this question we find the coordinates of the four vertices of the rectangle, whose locations are described in the statement. Each point must be transformed by the following sequence of rigid transformations:

If we know that P(x, y) = (1, 4), Q(x, y) = (6, 4), R(x, y) = (6, 1) and S(x, y) = (1, 1), then the locations of the images of the four vertices are:

P'(x, y) = (1, 4) + (0, - 8)

P'(x, y) = (1, - 4)

P''(x, y) = (1, - 4) + (- 2, 0)

P''(x, y) = (- 1, - 4)

Q'(x, y) = (6, 4) + (0, - 8)

Q'(x, y) = (6, - 4)

Q''(x, y) = (6, - 4) + (- 12, 0)

Q''(x, y) = (- 6, - 4)

R'(x, y) = (6, 1) + (0, - 2)

R'(x, y) = (6, - 1)

R''(x, y) = (6, - 1) + (- 12, 0)

R''(x, y) = (- 6, - 1)

S'(x, y) = (1, 1) + (0, - 2)

S'(x, y) = (1, - 1)

S''(x, y) = (1, - 1) + (- 2, 0)

S''(x, y) = (- 1, - 1)

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The correct option is,

⇒ −3 > −11; the bass is at a higher elevation than the flounder.

Option B is true.

What is Elevation?

Elevation is distance above the sea.

Given that;

A stripes bass is swimming at an elevation of −3 feet.

And, A flounder is swimming at an elevation of −11 feet.

Clearly, The bass is at higher elevation than the flounder.

So, -3 > -11

Hence, The correct option is,

⇒ −3 > −11; the bass is at a higher elevation than the flounder.

Option B is true.

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Answer: [C] P = 5000T + 93,000

Step-by-step explanation:

Answer:

33124

Step-by-step explanation:

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Carlos pays monthly for his cable bill $67.15

For over 5 months Carlos wrote a total of 5 checks for $335.75 to make payment for his cable TV service.

The same amount is paid for the cable bill every month.

Therefore the amount paid every month can be calculated as follows

= 335.75/5

= 67.15

Hence the amount paid monthly for the cable bill is $67.15

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Answer:

3 heartbeats

Step-by-step explanation:

The cat's heartbeats are 45 per 15 seconds.
To find out how many heartbeats it does per second (instead of 15), we should divide this amount by 15.

[tex]\frac{45}{15} \to 3[/tex]

Answer:

Step-by-step explanation:

45beats/15sec = 3beats/sec

Answer:

Step-by-step explanation: Can u please help me with my questionnn

The actual value of the bill can either be $90 or $81 or $18 or $54 or $27 or $72 or $36 or $63 bill.

A digit is a part of a set that, when taken as a whole, makes up a numeration system. A digit is a number in that particular circumstance. The members of the set 0 through 9 make up the digits of the decimal (base-10) Arabic numbering system.

The bill of the customer was mistakenly interchanged by $45.

The sum of the two digits of the bill is 9.

Now,

9 = 9 + 0 or,

9 = 8 + 1 or,

9 = 1 + 8 or,

9 = 5 + 4 or,

9 = 2 + 7 or,

9 = 7 + 2 or,

9 = 3 + 6 or,

9 = 6 + 3

Therefore, $45 bill can be mistakenly interchanged by $90 or $81 or $18 or $54 or $27 or $72 or $36 or $63 bills.

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