which is the graph of y=3/4x-3

Answer:

x = 9/25

y = 7/25

z = 4/25

Step-by-step explanation:

2x + y = 1 .......(1)

3y + z = 1 ........(2)

x + 4z = 1 ........(3)

Elimination 1 and 2

2x + y = 1 | ×3 |

3y + z = 1 | ×1 |

6x + 3y = 3

3y + z = 1

___________--

6x - z = 2 .............. (4)

Elimination 3 and 4

x + 4z = 1 | ×6 |

6x - z = 2 | ×1 |

6x + 24z = 6

6x - z = 2

___________--

25z = 4

z = 4/25

Elimination 3 and 4

x + 4z = 1 | ×1 |

6x - z = 2 | ×4 |

x + 4z = 1

24x - 4z = 8

___________+

25x = 9

x = 9/25

Subsitution 1

2x + y = 1

2(9/25) + y = 1

18/25 + y = 1

y = 1 - 18/25

y = 25/25 - 18/25

y = 7/25

Answer:

x = 9/25

y = 7/25

z = 4/25

Step-by-step explanation:

:D

Answer:

b

Step-by-step explanation:

use slope intercept form

Answer:

2

Step-by-step explanation:

Since you need it fast, I am not going to explain.

(2, 4) - (6, 12) = (-4, -8)

-8/-4 = 2

Answer:

625 miles

Step-by-step explanation:

This is because, since each 25 miles takes one gallon 25 gallons would mean you would go 25 times 25 miles which is 625 miles in all.

Answer:

A =180 in^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

The base is 12 and the height is 30

A = 1/2 *12*30

A = 1/2 *360

A =180 in^2

Step-by-step explanation:

1. divide -12 by -5

you get 2.4 this is a rational number

2. add 3/7 and -3/8 you get a long decimal so it's irrational

Answer:-24

explain how you know:

Since xy = 4, we have y=4/x. Substituting in (1) we get f(x) = 4x+(36/x) …….(2)

Differentiating we get f ' (x) = 4 - (36/x^2)…..(2)

For maxima or minima, f ‘ (x) = 0

=> 4 - (36/x^2) =0 => (4x^2 - 36)/x^2 = 0 which gives x= +/- 3

Differentiating (2), f ‘’ (x) = 72/x^3

When x= +3 , f ‘’ (x) is clearly +ve. Therefore f(x) at (2) gives minima and the minimum value is 24.

When x= -3, f ‘’ (x) is -ve. Therefore, f(x) has maxima at x= -3. The maximum value is -24.

Note: You may be surprised to observe that the minima is more than the maxima. This is due to the fact that the function is discontinuous at x= 0, the graph of f(x) comprising of two branches, one in the first quadrant giving the minima (= +24) and another in the third quadrant that gives maxima (= -24)

Answer:

its 125 on edg2020 ;)

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation: The scale factor of the dilation is 1/2 because it's 1/2 of the other triangle. As you can see it used to be 10, but now it's 5.

Have a good day :D

Answer:

From Triangle ABC to Triangle A'B'C', the scale factor is 1/2

b) 1/2

Step-by-step explanation:

Side Length of Line Segment AC is 8 units

Side Length of Line Segment AB is 6 units

Side Length of Line Segment of BC is 10 units

Side Length of Line Segment A'C' is 4 units

Side Length of Line Segment A'B' is 3 units

Side Length of Line Segment B'C' is 5 units

Checking:

A'C'/AC=4/8=1/2 simplified

Hence, the answer is 1/2 as the scale factor for the dilation.

Answer:

- 1

Step-by-step explanation:

The average rate of change in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [4, 7 ], thus

f(b) = f(7) = 7² - 4(7) - 1 = 49 - 28 - 1 = 20

f(a) = f(- 4) = (- 4)² - 4(- 4) - 1 = 16 + 16 - 1 = 31

average rate of change = [tex]\frac{20-31}{7+4}[/tex] = [tex]\frac{-11}{11}[/tex] = - 1

Answer:

Option B

Increases

Step-by-step explanation:

to solve this problem, let us plug in figures to replace the variables in the equation.

Let y be equals to the rational exponent which represents the cube root of x^m,

The equation is given as y =[tex]\sqrt[3]{x^{m}}[/tex]

let x= 3

and m =, 3, 4, and  5

when m = 3, we have [tex]y =\sqrt[3]{3^{3}} =3[/tex]

when m = 4, we have [tex]y =\sqrt[3]{3^{4}} =4.33[/tex]

when m = 5, we have [tex]y =\sqrt[3]{3^{5}} =6.24[/tex]

As we can see, the values of y are increasing. Hence,  we can say that the value of the rational exponent increases as y increases

Final answer:

As the positive integer m increases in the rational exponent expression for the cube root of [tex]x^m[/tex], the rational exponent itself increases. This is because the base x is being raised to a higher power, exemplified by [tex]x^{2/3[/tex] compared to [tex]x^{3/3[/tex], showing an increase in expression value.

Explanation:

If a rational exponent represents the cube root of [tex]x^m[/tex], where m is a positive integer, the form used to represent this is [tex]x^{m/3[/tex]. As m increases, the value of the expression increases because the base (x) is being raised to a higher power. Therefore, the correct answer to how the rational exponent changes as m increases is it increases.

For example, consider x to equal 8, and compare [tex]x^{2/3[/tex] (the cube root of 8 squared) to [tex]x^{3/3[/tex] (the cube root of 8 cubed).

As m increases from 2 to 3, the exponent changes from 2/3 to 3/3 (or 1), and thus the result of the expression goes from 4 to 8, illustrating that the expression's value increases with m.

Answer:

The answer is 46. 35+11=46

Hope i could help! :D

Step-by-step explanation:

By the 1993 season, the Miami Dolphins had appeared on Monday Night Football 46 times.

To solve this question, we are given that the San Francisco 49ers had appeared on Monday Night Football 35 times by the 1993 season. We are also informed that the Miami Dolphins had made 11 more appearances than the 49ers. Therefore, to find the total number of times that the Miami Dolphins had appeared, we simply need to add 11 to the 49ers' appearances.

So, 35 (49ers' appearances) + 11 (additional Dolphins' appearances) = 46.

This means that by the 1993 season, the Miami Dolphins had appeared on Monday Night Football a total of 46 times.

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Answer:

y^2 + 16y + 64 = 0

(y + 8)(y+8) = 0

y + 8 = 0

y = -8

y + 8 = 0

y = -8

Step-by-step explanation:

Answer:

7)

a. a=5

b. b=7

c. y=10

d. z=6

Step-by-step explanation:

hope this helps:)

Answer:

  (x, y) = (1/2, -2)

Step-by-step explanation:

Many people find it convenient to work these problems by eliminating fractions as a first step.

Here, you can do that by multiplying the first equation by 4

  4(1/2x +2y) = 4(-15/4)

  2x +8y = -15

From here, there are a number of possibilities for arriving at a solution.

__

Multiply the first equation by 2 and you have ...

  4x +16y = -30

The second equation says you can replace the first term with -y:

  -y +16y = -30

  15y = -30

  y = -30/15 = -2

Substituting this value into the second equation gives ...

  4x = -(-2) = 2

  x = 2/4 = 1/2

The solution is (x, y) = (1/2, -2).

__

Alternate solution

You can rearrange the second equation to give an expression for y:

  y = -4x

Then, substitute this into the first equation:

  (1/2)x +2(-4x) = -15/4

  (-15/2)x = -15/4

  x = (-15/4)/(-15/2) = 2/4 . . . . . . divide by the coefficient of x

  x = 1/2

  4(1/2) = -y = 2 . . . . . substitute for x in the second equation

  y = -2 . . . . . . . . . . . . multiply by -1

_____

Additional comments on problem solving

I find the key to working troubling problems is to be very meticulous. Make certain you follow the rules of algebra: anything you do to one side of the equation must also be done to the other side. I find it easier to think in those terms when moving stuff around.

Some folks would say, "move this term over there and ...". I like to think of it as "subtract this term from both sides of the equation."

It also helps to be careful when dealing with fractions. Make sure you know how to add, subtract, multiply, and divide fractions. You should be just as able to handle that arithmetic as with integers or decimals. Use a calculator if your skills are shaky.

As you may notice, a graphing calculator can help you verify your answer.

Answer:

D

Step-by-step explanation: just trust me

The trinomial Leonora factored is x²+2x-6. Therefore, option B is the correct answer.

The factors are the polynomials which are multiplied to produce the original polynomial.

From the given figure (see attachment),

Here, x×x+x+x-1-1-1-1-1-1

x²+2x-6

Therefore, option B is the correct answer.

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Answer:

3

Step-by-step explanation:

The average rate of change of g(x) in the closed interval [ a, b ] is

[tex]\frac{g(b)-g(a)}{b-a}[/tex]

Here [ a, b ] = [ - 3, 2 ], thus

g(b) = g(2) = - 2² + 2(2) + 8 = - 4 + 4 + 8 = 8

g(a) = g(- 3) = - (- 3)² + 2(- 3) + 8 = - 9 - 6 + 8 = - 7

average rate of change = [tex]\frac{8-(-7)}{2-(-3)}[/tex] = [tex]\frac{15}{5}[/tex] = 3

Car A consumes 25 gallon and car B consumes 15 gallon.

Step-by-step explanation:

Given,

The fuel efficiency of car A = 20 miles per gallon.

The fuel efficiency of car B = 15 miles per gallon.

In a week, two cars went 725 miles and consumed 40 gallons.

To find the consumption of each car in that week.

Let,

Car A consumed x gallon

Car B consumed y gallon.

According to the problem,

x+y = 40 ----- (1)

20x+15y = 725

or, 4x+3y = 145 -------- (2)

From (1) we get, x = 40-y

Putting the value of x in (2) we get,

4(40-y)+3y = 145

or, 160-4y+3y = 145

or, -y = 145-160

or, y = 15

From (1) we get, x = 40-15 = 25

Hence,

Car A consumes 25 gallon and car B consumes 15 gallon.

Answer:

it is repeating decimal.

Answer: repeating

Step-by-step explanation:

Answer:

w=1

Step-by-step explanation:

QT=(RS+PU)/2

4w+27=(2w+21+w+38)/2

3w+59=2*(4w+27)=8w+54

8w-3w=59-54

5w=5

w=1

Final answer:

After setting up an equation for the average, we calculated that the value of w is 5.

Explanation:

The question involves solving for a variable w in the context of a trapezoid and its midsegment.

We know that a midsegment of a trapezoid is parallel to the bases and its length is the average of the lengths of the two bases.

Given RS=2w+21, QT=4w+27 (midsegment), and PU=w+38, we set up the equation (2w+21 + w+38)/2 = 4w+27, since the length of the midsegment QT is the average of the lengths of the bases RS and PU.

Simplifying this equation:

Therefore, the value of w is 5.

Answer:

The stereo is now being sold for $227.80.

Step-by-step explanation:

To calculate percentage discounts, multiply the original price (268) by the discount percentage (.85). Make sure to put move the percentage value two places to the right before multiplying, as percentages are percentages of a whole.

268 * .85 = 227.8

Answer:

45/4

Step-by-step explanation:

Volume = h x w x l

First multiply the numbers you have

16 2/3 x 2 4/5= 140/3

Then divide the volume.

525 ÷ 140/3 = 45/4

45/4

Answer:

Yes

Step-by-step explanation:

The mean octane rating will be 90.3

Hope this helps!

Answer:

Yes

Step-by-step explanation:

The mean is just the average, and it's calculated by adding up all the data set numbers and dividing that sum by the number of numbers:

(90.1 + 88.8 + 89.5 + 91.0 + 92.1) / 5 = 451.5 / 5 = 90.3

Our average/mean is 90.3%, which is clearly greater than 90%. So, yes, we can conclude that the mean octane rating is greater than 90%.

Hope this helps!

Answer:

= -2

Step-by-step explanation:

F(f^-1(x)) = x   so in the case of yur question the -2 is in the place of the x in  the explanation

The value of [tex]f^{-1}[/tex](-2) is -4 , f(-4) is -2 and f[ [tex]f^{-1}[/tex](-2)] is also -2.

The inverse of a function is basically a reverse function or undo of the function.

For example y = f(x) then inverse will be x = f(y).

It means in the inverse function we need to interchange x and y.

Another example y = 3x² ⇒ x = √(y/3) will be the inverse.

Given the function,

f(x) = 1/2x and  [tex]f^{-1}[/tex](x)= 2x

Now,

[tex]f^{-1}[/tex](-2) = 2(-2) = -4

f(-4) = 1/2 (-4) = -2

Now,

Operation of f is that it will come x variable down,

So,

f[ [tex]f^{-1}[/tex](-2)] = f(-4)

f(-4) = -2

Hence "The value of [tex]f^{-1}[/tex](-2) is -4 , f(-4) is -2 and f[ [tex]f^{-1}[/tex](-2)] is also -2".

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The given question is incomplete, complete question is ;

Use f(x) = 1/2x and f-1(x)= 2x to solve the problems. f1(-2) f(-4) f(f-1(-2))

Answer:

The answer is -1 because adding onto a negitive number makes the number go towards 0

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

So, if you have 5 negatives (A) and 4 positives (B) and pair them together:

A B   A B   A B   A B   A

You'll see that you have one extra A or -1 leftover.

So, -5 + 4 = -1

Answer:

8 possibilities

Step-by-step explanation:

The pies we have to choose from are 1)Apple 2)Cherry 3)Blueberry or 4)Peach.

The beverages we have to choose from are 1)Milk and 2)Juice.

Here are the possibilities:

Apple + Juice

Apple + Milk

Cherry + Juice

Cherry + Milk

Blueberry + Juice

Blueberry + Milk

Peach + Juice

Peach + Milk

So we have a total of 8 possibilities for one pie and one beverage.

Answer:

8 outcomes

Step-by-step explanation:

Answer:

4:03

Step-by-step explanation:

Answer:

Part A

Months, Pounds

3,5

4,9

5,13

6,17

7,21

8,25

9,29

Part B

1 year = 12 months

If we continue the chart it would look like this:

10,33

11,37

12,41

Lucky will weigh 41 pounds by 1 year.

Hope this helps!

Final answer:

Lucky will weigh 41 pounds by the time he is one year old.

Explanation:

To complete the table representing Lucky’s current weight as a function of his age, we'll calculate Lucky's expected weight at each month by using the growth rate of four pounds per month. Starting with Lucky's current weight at three months old, which is five pounds:

Age 4 months: 5 pounds + (1 month * 4 pounds/month) = 9 pounds

Age 5 months: 5 pounds + (2 months * 4 pounds/month) = 13 pounds

Age 6 months: 5 pounds + (3 months * 4 pounds/month) = 17 pounds

Age 7 months: 5 pounds + (4 months * 4 pounds/month) = 21 pounds

Age 8 months: 5 pounds + (5 months * 4 pounds/month) = 25 pounds

Age 9 months: 5 pounds + (6 months * 4 pounds/month) = 29 pounds

Continuing with the growth rate of four pounds per month, by the time Lucky is one year old, which is 12 months, the calculation would be:

Lucky's weight at one year old = initial weight + (growth over months)

12 months old: 5 pounds + (9 months * 4 pounds/month) = 41 pounds.

Answer:

the circle is shifted -5 on the x and +6 on the y. Center is (-5,6). Radius = 2.

Step-by-step explanation: