determine the inverse of the function. (show work please)

Answer:

y = 7/5x + 4

Step-by-step explanation:

use the slope from the equation -5/7 and take the negative reciprocal to get the perpendicular slope = 7/5. Then use the equation y=mx+b. Plug in x and y from the point given and the new slope and solve for b.

(-3) = (7/5)(-5) + b, (-3) = -7 + b, add 7 to both sides. b = 4. Rewrite the equation now to be y = 7/5x + 4

Answer:

Nickel= 1.8 kg

Zinc= 0.4 kg

Copper= 1.8 kg

Step-by-step explanation:

7:2:9

7=nickel

2=zinc

9=copper

7+2+9=18

18×2=36

7×2=14 2×2=4 9×2=18

Divide by 10

14÷10=1.4 4÷10=0.4 18÷10=1.8

1.8+1.4+0.4= 3.6

1.8=nickel

0.4=zinc

1.8=copper

Amount of each metal are needed to make 3.6 kg of this alloy are,

Nickel = 1.4 kg

Zinc = 0.4 kg

Copper = 1.8 kg

We have to given that,

An alloy is composed of nickel, zinc, and copper in a ratio of 7 : 2 : 9.

Now, We can assume that,

Amount of nickel = 7x

Amount of zinc = 2x

Amount of copper = 9x

Hence, We get;

⇒ 7x + 2x + 9x = 3.6

⇒ 18x = 3.6

⇒ x = 3.6 / 18

⇒ x = 0.2

Thus, WE get;

Amount of nickel = 7x

                           = 7 × 0.2

                           = 1.4 kg

Amount of zinc = 2x

                        = 2 × 0.2

                        = 0.4 kg

Amount of copper = 9x

                            = 9 × 0.2

                            = 1.8 kg

Learn more about the ratio visit:

https://brainly.com/question/12024093

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Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Cancel the common factor of  4  and  10 .

Answer:

the second one is right

Answer:

28 hope this helped

Step-by-step explanation:

20+26+26=72

72+28=100

100/4=25

let the number be X

20 + 26 + 26 + X /4 = 25

72 + X /4 = 25

cross multiply

72 + X = 25*4

72 + X = 100

X = 100.- 72 = 28

X = 28

proof

20 + 26 + 26 +28 / 5 = 25

I hope it will help. can I have braainlest

Answer:

you need 3000000 bees

Step-by-step explanation:

1kg=1000000mg.

1000000x3=3000000

hope this helps, have a good day :)

Answer:

C

Step-by-step explanation:

NO is not parallel to ML.

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

l = 12 inches

w = 7 inches

h = 4.5 inches

Surface area = lw + 2wh + 2hl

                     = 12*7 + 2*7*4.5 + 2*4.5*12

                    = 84 + 63 + 108

                    = 255 square inches

If it is a closed box, surface area = 2*(lw +wh + hl)

As it is open, surface area = lw + 2wh + 2hl

Down part of the box : length *width

Upper part of the box = length*width

So, for closed box, 2lw

For open box , lw

Answer:

total ages = 60

Generally, if the mode is 8 would mean there are more than one age of 8

suppose there are two with age 8,

leaving 44 for the other 4

(11 for the average of the remaining 4)

could have 9 and 13, and 8 and 14

so we could have:

8,8,8,9,13,14

or we could have:

8,8,9,10,12,13

check:of the 1st answer

mean = (8+8+8+9+13+14)/6 = 10

the mode is 8

Step-by-step explanation:

Answer:

12 miles

Step-by-step explanation:

Allison 2 miles

Molly , (2 times the miles of Allison so 2x2 is 4. so she ran) [4 miles]

Connor (3 times the miles of Molly so 4x3 is 12. so he ran) [ 12 miles}

Answer:

9.21954446 (but round to what ever place is required)

Step-by-step explanation:

Use the Pythagorean theorem

a^2+b^2=c^2

6^2+7^2=c^2

36+49=c^2

85=c^2

c=9.21954446

round to what ever place you need

Answer:

Its c,No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Abbrah is the best shooter.

Step-by-step explanation:

Hannah made 0.7 which is equal to 70 out of 100 shots.

Dinah made 3/4 which is equal to 75 out of 100 shots.

Abbrah made 9/10 shots which is equal to 90 out of 100 shots.

Answer:

Abbrah is the best shooter

Step-by-step explanation:

Answer:

the answer is 3/8 or if you want the answer in a decimal its 0.375

Step-by-step explanation:

HOPE THIS HELPS!!

Answer:

[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations

Step-by-step explanation:

We are supposed to find inequality represents all possible combinations of x tulips and y carnations

Cost of 1 tulip = $5

Cost of x tulips = 5x

Cost of 1 carnation =$3

Cost of y carnations = 3y

We are given that she does not want to spend more than $45.

So, She can spend less than or equal to 45

So, required inequality :[tex]5x+3x \leq 45[/tex]

So, Option B is true

[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations

Answer:

it would be 5x + 3y <= 45

Step-by-step explanation:

I literally just did this question on my math homework and I got it right .

Answer:

x = 12.24

Step-by-step explanation:

In any circle the following ratio can be used.

[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{x}{360}[/tex] , substitute values

[tex]\frac{1.88}{2(8.8)\pi }[/tex] = [tex]\frac{x}{360}[/tex] ( cross- multiply )

17.6π x = 276.8 ( divide both sides by 17.6π )

x = [tex]\frac{276.8}{17.6\pi }[/tex] ≈ 12.24

Answer:

12.24°

Step-by-step explanation:

I hope it helps :)

Answer:

(11x-3)

Step-by-step explanation:

This is because the two parenthesis are adding together, we can simply combine the like terms 6x and 5x to get 11x.

Then, combine 1/2 + a -3 1/2, which is equal to -3.

(Oh, i didn't see the minus sorry! It's fixed now!)

Answer:

11x -3

Step-by-step explanation:

(6x + 1/2) + (5x - 3 1/2) Add like terms

6x + 5x = 11x

1/2 - 3 - 1/2 = -3

11x - 3

Answer:

16 = 2x + 4

Step-by-step explanation:

The total amount of money they are given is $16. That is split up into 2 equal groups with 4 left over. So you'd have to subtract 4 from both sides. Then divide both sides by 2. This will give you the answer to how much money they expect the students to spend on food.

Answer:

Square root property

Step-by-step explanation:

The given equation is :

[tex]x^2+6=31[/tex]

We need to write the most appropriated technique to solve the above equation.

Subtracting both sides of the above equation by 6 such that,

[tex]x^2+6-6=31-6\\\\x^2=25[/tex]

Now taking square root on both sides we get :

[tex]x=\sqrt{25}[/tex]

The square root property is used here, such that the value of x is :

[tex]x=\pm 5[/tex]

Answer:

Because the line doesn’t start at 0 and that shows that y is not proportional to x.

Step-by-step explanation:

That is all you have to write

A graph can show direct, inverse and joint proportions.

y is not directly proportional to x because the graph does not pass through the origin

From the graph, we can see that:

When x = 0, y > 0

i.e. y is greater than 0, when x equals 0

This means that, the equation of the graph is:

[tex]\mathbf{y = mx + b}[/tex], where b > 0

A proportional equation is represented as:

[tex]\mathbf{y = mx}[/tex]

Hence, y is not directly proportional to x because the graph does not start from the origin

Read more about proportional graphs at:

https://brainly.com/question/18841779

Answer:

h = 2.82 cm

Step-by-step explanation:

[tex]surface area = 2 \pi R^{2} + 2 \pi R h\\1000 = 2 \pi (16h^{2} ) + 2 \pi (4h^{2} )\\1000 = 32 \pi h^{2} + 8\pi h^{2} \\1000 = 40 \pi h^{2} \\25 = \pi h^{2} \\\\h = \sqrt{\frac{25}{\pi} } = 2.82 cm[/tex]

Answer:

4/25

Step-by-step explanation:

Total amount of marbles: 8 + 5 + 12 = 25

With 25 marbles, the probability of picking a red is: 12/25

After 1 red marble is removed, the probability of picking a black is: 8/24 = 1/3

Then, the probability of picking a red then a black marble if you do not replace the first marble is: 12/25 * 1/3 = 4/25

Answer:

A straight line from home plate to second base would have distance:

D = sqrt(2 x 90^2) = 127.3 feet

=> Option A is correct

Hope this helps!

:)

The distance from the home plate to second base in a straight line is required.

The required distance is option A 127.3 feet.

A baseball field is in the shape of a square this means that all corners have the angle [tex]90^{\circ}[/tex]

So, two sides of the square can act as legs of a right triangle and the diagonal can act as the hypotenuse.

A straight line between the home plate and second base would be the diagonal of the square.

The length of each side of the square is 90 feet.

Applying the Pythagoras theorem

[tex]d=\sqrt{90^2+90^2}\\\Rightarrow d=90\sqrt{2}\\\Rightarrow d=127.279\approx 127.3\ \text{feet}[/tex]

Learn more about squares:

https://brainly.com/question/92334

Answer:

Infinite

Step-by-step explanation:

Here are a system of how two equations can be classified ;

• If the gradients are the same but the y-intercepts are different, the system has no solution.

• If the gradients are different, the system has one solution.

• If the gradients are the same and the y-intercepts are the same, the system has infinitely many solutions.

Here is the proof.

3y - 9x = -6

5y - 15x = -10

In

3y - 9x = -6

When x =1

y= 1

When x=3

y= 7

Gradient of 3y - 9x = -6

=∆y/∆x

= (7-1)/ ( 3-1)

=(6)÷ 2

= 3

5y - 15x = -10

When x= 1

y = 1

When x=3

Y=7

Gradient of 5y - 15x = -10

=∆y/∆x

= (7-1)/ ( 3-1)

=(6)÷ 2

= 3

Since the gradients are the same the system has infinitely many solutions.

Answer:

15 ???

think just tryin to help

Don't at me