=
Given the equation 100 - 20t = 12r +4P,
solve for P. Find the P values when
(r= -2, -5, and 5) and (t=4, -4, and 8).

Answers

Answer 1

Answer:

P = -3r -5t + 25

r(-2): P = -5t + 31

r(-5): P = −5t + 40

r(5): P = −5t + 10

t(4): P = −3r + 5

t(-4): P = −3r + 45

t(8): P = −3r − 15


Related Questions

Hi, someone else asked this question and I know that the answer is 6, but don’t know why. Could someone explain this for me, please? If you can make me understand I’ll give you brainliest…

Answers

Answer:

6

Step-by-step explanation:

I'm not exactly sure, but since 6 is the only number missing from this pattern, wouldn't it make sense for the answer to be 6?

A soccer player runs a total of 12 miles during a 4 hour game.
What is the unit rate?

Answers

Answer:

3

Step-by-step explanation:

12 divited by 4 =3

Determine the inverse of the function f(x) = 3(x - 4)^2 + 5.

Answers

f(x) as given has no inverse. We see that, for instance, f(1) = f(7) = 32; that is, two different values of x give the same value of f(x), so f is not one-to-one.

We can however restrict the domain over which f is defined to extract an invertible function. One such choice would be to restrict to the interval x ≥ 4, which I'll demonstrate below.

Recall the definition of function inverse:

f(f^(-1)(x)) = x

Then for this function, we have

3 (f^(-1)(x) - 4)² + 5 = x

3 (f^(-1)(x) - 4)² = x - 5

(f^(-1)(x) - 4)² = (x - 5)/3

√((f^(-1)(x) - 4)²)= √((x - 5)/3)

For all x, √(x²) = |x|. Then √((f^(-1)(x) - 4)²) = |f^(-1)(x) - 4|, but by restricting x ≥ 4, or x - 4 ≥ 0, we have the condition that f^(-1)(x) - 4 ≥ 0, and so by definition (of the absolute value function) the absolute value reduces to the positive case. In short, we end up with

f^(-1)(x) - 4 = √((x - 5)/3)

and hence the inverse

f^(-1)(x) = √((x - 5)/3) + 4

Josh runs 6 miles in 44 minutes. At the same rate, how many minutes would he take to run 9 miles?

Answers

Answer:

66 minutes

Step-by-step explanation:

Method I -  proportion

x/44 = 9/6

multiply both sides by 44

x = 9 / 6 * 44

x = 66 minutes

--------------------------

Method II - rate

44/6 = 7.3333333 minutes / mile

9 * 7.3333333 = 66 minutes

Write an expression that represents the perimeter of the triangle.

Answers

Answer:

(3m - 2) + (2m + 7) + (5m - 3)

Step-by-step explanation:

Perimeter is found by combining all side measurements together to find the total measurement. In this case, combine the sides:

(3m - 2) + (2m + 7) + (5m - 3) is your answer.

If you need a simplified expression, simply combine all the like terms together. Like terms are terms with the same as well as same amount of variables:

(3m + 2m + 5m) + (7 - 2 - 3)

(10m) + (2)

10m + 2 is your answer.

~

x + 3 ? 3 = x what factor do I use in between 3 and 3

Answers

Answer:

1 or 3

Step-by-step explanation:

factors of 3 r 1 and 3

that's why 3 is a prime number

22 is 32% of what number?

Answers

To solve this problem you multiply 22 by 100 and then divide the total by 32 as follows: (22 x 100) / 32

When we put that into our calculator, we get the following answer:

68.75

Answer:

68.75

Step-by-step explanation:

x is the number we are looking for, so 32% of x is 22.

First, we have to find the number that is equivalent to 1% of x.

To do this we simply do 22/32 which is 0.6875.

Now we know that 1% of x is 0.6875, so we can find 100% of 0.6875 (0.6875*100) to find x.

x is 68.75

Question 2 (Essay Worth 10 points)
(07.02 MC)
An equation is shown below:
3(2x - 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)

Answers

Answer:

Part A: 1 solution

Part B:

3(2x-7)=3

6x-21=3

 +21  +21

6x=24

/6    /6

x=4

Step-by-step explanation:

First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4

HELPPPPPPPPPP !!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

0.0000015

How many groups of 1/4 are in 7.

Answers

There is 28.

7 ÷ 1/4 = 28

7 divided by 1/4 is 28

A line has a slope of 3/7 . Through which two points could this line pass?

Answers

Answer:

(0,0) and (7,3) and (14,6) and (-7,-3)

Just graph it.

Answer:

the correct answer is (-8,-2) and (6,4)

Step-by-step explanation:

hope this helps

Which of the following is most likely the next step in the series?

Answers

Answer:

D.

Step-by-step explanation:

Quadrilateral: 4 sides

Pentagon: 5 sides

Hexagon: 6 sides

Now we expect 7 sides.

Answer: D.

Answer:

D

Step-by-step explanation:

The first shape has 4 vertices (quadrilateral), the second has 5 vertices (pentagon), the third shape has 6 vertices (hexagon) so the fourth would most likely have 7 vertices (heptagon).

Hope this help!

PLEASE HELP ITS DUE NOW!!!!!!
WILL MARK BRAINLIEST!!!!!

Answers

Answer:

(- 4, - 10 )

Step-by-step explanation:

y = 5x + 10 → (1)

y = 4x + 6 → (2)

Substitute y = 5x + 10 into (2)

5x + 10 = 4x + 6 ( subtract 4x from both sides )

x + 10 = 6 ( subtract 10 from both sides )

x = - 4

Substitute x = - 4 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 5(- 5) + 10 = - 20 + 10 = - 10

solution is (- 4, - 10 )

>> Answer

__________

[tex] \: [/tex]

[tex] \sf{y = 5x + 10...(1)}[/tex]

[tex] \sf{y = 4x + 6...(2)}[/tex]

Subtitute (1) to (2)

[tex] \sf{y = 4x + 6}[/tex]

[tex] \sf{5x + 10 = 4x + 6}[/tex]

[tex] \sf5x - 4x = 6 - 10[/tex]

[tex] \sf{x = - 4}[/tex]

.

Subtitute x = -4 to (1)

[tex] \sf{y = 5x + 10}[/tex]

[tex] \sf{y = 5( - 4) + 10}[/tex]

[tex] \sf{y = - 20 + 10}[/tex]

[tex] \sf{y = - 10}[/tex]

.

[tex] \longmapsto \sf{( - 4 , - 10)}[/tex]

The science club sponsor is ordering caps and shirts for the boys and girls in the science club. There are 45 science club members. If the caps come in packages of 3 and the shirts come in packages of 5, what is the least number of packages of caps and shirts that will need to be ordered? Explain.

Answers

Answer:

The least number of packages of caps and shirts that will need to be ordered would be 9 Boxes of shirts and 15 boxes of hats .

Step-by-step explanation:

9(boxes) x 5(shirts) = 45

45(members) divided by 3(hats) = 15(boxes)

need help, im confused​

Answers

Answer:

  Part A: correct

  Part B: $20

Step-by-step explanation:

Part B:

The amount Vanessa pays for her printer and 2 cartridges is ...

  $90 +2(25) = $140

The amount Tia pays for her printer and 2 cartridges (c=2) is ...

  t = 80 +20(2) = 120 . . . . dollars

Then the difference in the amounts they pay is ...

  $140 -120 = $20

A seed sprouted and grew 2/3 of a foot in 3 months. What was its rate of growth in feet per month?

Answers

Answer:

2.6 inches repeating per month

Answer:

2/9

Step-by-step explanation:

Find the perimeter of the rectangle

Answers

Solution:We know, perimeter of a rectangle = 2(length + breadth)Here, length = (6 - 4) units = 2 units.Breadth = (5 - 2) units = 3 units.Therefore, the perimeter of the rectangle

= 2(2 + 3) units

= 2 × 5 units

= 10 units.

Answer:

The perimeter of the rectangle is 10 units.

Hope it helps.

Do comment if you have any query.

What is the equation of the line??

Answers

Answers:

m = -2/3

b = 1

equation:  y = (-2/3)x + 1

This is the same as writing [tex]y = -\frac{2}{3}x+1[/tex]

===========================================================

Explanation:

There are a few approaches, but I like to start at the y intercept whenever it is an integer. The y intercept is where the diagonal line crosses the vertical y axis. In this case, that location is (0,1) telling us that b = 1 is the y intercept.

From that starting anchor point, we need to find a way to get to another point on this line. There are a few ways to do this, but we can move down 2 and to the right 3 units to go from (0,1) to (3,-1). This "down 2 right 3" motion directly leads to the slope of rise/run = -2/3

---------------

Alternatively, you can start at something like (-3,3) and move down 4 and move right 6 to arrive at (3,-1). Note how rise/run = -4/6 = -2/3. No matter where you start, moving along this line will involve a "down 2 right 3" movement pattern. Be sure to reduce any fractions as much as possible.

Yet another alternative is to apply the slope formula using any two points on the line. Preferably they have integer coordinates.

----------------

However you determine the slope, it's m = -2/3 after fully reducing. It along with b = 1 is plugged into y = mx+b to get y = (-2/3)x+1 as the equation of this line. It's in slope intercept form.

1)cot a/2 -tan a/2 = 2 cot a
2) cot b/2 + tan b/2= 2 cosec b
prove​

Answers

1)

LHS = cot(a/2) - tan(a/2)

= (1 - tan^2(a/2))/tan(a/2)

= (2-sec^2(a/2))/tan(a/2)

= 2cot(a/2) - cosec(a/2)sec(a/2)

= 2(1+cos(a))/sin(a) - 1/(cos(a/2)sin(a/2))

= 2 (1+cos(a))/sin(a) - 2/sin(a)) (product to sums)

= 2[(1+cos(a) -1)/sin(a)]

=2cot a

= RHS

2.

LHS = cot(b/2) + tan(b/2)

= [1 + tan^2(b/2)]/tan(b/2)

= sec^2(b/2)/tan(b/2)

= 1/sin(b/2)cos(b/2)

using product to sums

= 2/sin(b)

= 2cosec(b)

= RHS

Abigail has been saving her earnings from her lemonade stand. Abigail has 30 dollars to spend. If she buys a new hat for 15 dollars, how many ribbons can she buy with the remaining money if they cost 4 dollars each?

Answers

Abigal can buy 3 ribbons with the remaining $15

Write numbers least to greatest

Answers

Answer:

[tex]-6,-pi,-0.5,\frac{5}{8} ,\frac{2}{3}[/tex]

Jaxon's start-up business makes a profit of $500 during the first month. However, the company records a profit of -$50 per month for the next eight months and a profit of $175 for the final month. What is the total profit for the first ten months of Jaxon's business?

Answers

Answer: 275$

Step-by-step explanation:

500

-50 x 8 = -400

500 - (-400) = 100

100 + 175 = 275$

Answer:  $275

================================================================

Explanation:

The first month has a profit of +500 or simply 500.

The next 8 months have a profit of -50 per month, so we have -50*8 = -400 in profit here. A negative profit indicates debt. So far, the profit is 500 + (-400) = 500 - 400 = 100 dollars. This result is positive, so the company is in good shape so far.

It gets in better shape when adding on the final 175 profit from the tenth month. The final profit is 100+175 = 275 dollars

Simon is driving his car on a highway at a constant speed. The below table shows the relationship between the amount of
gasoline left in his car and the distance traveled on the highway.

Answers

Answer:

ccccccccccccccccccccccccccc

Which expression is equivalent to [(4^5/4•4^1/4)/4^1/2]^1/2

Answers

Answer:

2

Step-by-step explanation:

[(4^5/4•4^1/4)/4^1/2]^1/2

= [(4^(5/4) • 4^(1/4))/4^(1/2)]^1/2

= [(4^(3/2))/4^(1/2)]^1/2

= 4^(1/2)

= sqrt(4)

= 2

Answer:

2

Step-by-step explanation:

[tex][(4^{5/4}*4^{1/4})/4^{1/2}]^{1/2}=[/tex][tex](4^{5/4+1/4-2/4})}^{1/2}=[/tex][tex](4^1)^{1/2}=[/tex][tex]2[/tex]

Correct = brainiest

Answers

Answer:

∠AOC = 98°

∠BOC = 82°

∠DOE = 39°

Step-by-step explanation:

∠DOE = 180 - (43 + 98)

           = 39°

∠BOC = 180 - ∠DOB

           = 180 - 98

           = 82°

∠AOC = ∠DOB  (they are vertical angles which are equal)

I can use structure to decide where to place the first digit in a quotient. A strongly agree B. agree C. disagree qD. strongly disagree​

Answers

Answer: For this question, it's just like a self-survey. If you understand this concept strongly or not really, you go with that answer like strongly agree, agree, etc.

if each of the following quadrilaterals are trapezoids find the missing measures. show your work.

Answers

The corresponding pairs of base angles, such as T and Q, or S and R,are supplementary (add up to 180 degrees)
So T + Q = 180
Q = 180 - 91 = 89

S + R = 180
S = 180 - 27 = 153

if a shirt is 50$ and is on sale for 20% off how much wil you pay with 6% sales tax

Answers

Answer:

42.4 is the correct answer to this question

Simplify the expression

Answers

Answer:

it would equal 12x + 12

:)))

Help please!!!
A radio telescope has a parabolic dish. Radio signals are collected at the focal point (focus) of the parabola.
The distance from the vertex of the parabolic dish to the focus is 20 feet. The vertex of the dish is located at a point 30 feet above the ground and 80 feet to the east of a computer that reads and records data from the telescope. The diameter of the dish is 120 feet

What is the depth of the parabolic dish?

Answer:

Answers

45 feet deep

Step-by-step explanation:

First the formula for Parabola is: 4py=x2, we will make it as if it were in the center of the graph.

Now P is the distance from the vertex to the focus or to the directrix which is equal to 20.

4(20)y=x2

80y=x2

Now we just have to use one knwon value of X in the maximum point of the dish, is the diameter of the dish is 120 feet that is the maximum x, and we know that 120 feet is te distance between the widest -x and x, so those would be: -60 and 60.

We will use 60 as our value:

[tex]80y=x^{2} \\80y=60^{2} \\80y=3600\\y=\frac{3600}{80} \\y=45[/tex]

So we know that the depth of the parabolic dish is 45 feet.

In this exercise we have to use the knowledge of depth to be able to calculate the depth that is being seen by the telescope, in this way we can say that:

[tex]45 \ feet \ deep[/tex]

First, knowing that the formula for the parabola is:

[tex]4py=x^2[/tex]

Now P is the distance from the vertex to the focus or to the directrix which is equal to 20, we can say that:

[tex]4(20)y=x^2\\80y=x^2[/tex]

Now we just should use individual knwon financial worth of X fashionable the maximum point of the dish, exist the measurement across object of the eating receptacle exist 120 extremities that is to say the maximum x, and we understand information that 120 extremities is heavy distance middle from two points the expansive -x and x, so those hopeful: -60 and 60.

[tex]80y=x^2\\80y=60^2\\80y=3600\\y=45[/tex]

See morea bout depth at brainly.com/question/694922

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