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2 years ago

I need to pass this test

Mathematics

1 answer:

g100num [7]2 years ago

3 0

Answer:

C. f⁻¹(x) = 3 - 5x

Step-by-step explanation:

To find the inverse of a function, switch x and y and solve for y.

f(x) = (3 - x)/5

Change f(x) to y.

y = (3 - x)/5

Switch x and y.

x = (3 - y)/5

Multiply both sides by 5.

5x = 3 - y

Subtract 3 from both sides.

5x - 3 = -y

Multiply both sides by -1.

-5x + 3 = y

Switch the sides.

y = -5x + 3

Change the equation.

y = 3 - 5x

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Write and solve a system of equations for this question please

andre [41]

Let b and s be the velocity of the boat and stream respectively....

3(b-s)=27

b-s=9

b=9+s we will use this in the second equation....

2(b+s)=30

b+s=15, now use b found above in this to get:

9+s+s=15

2s+9=15

2s=6

s=3, and since from earlier b-s=9, b=9+s so

b=12

So the speed of the boat is 12mph and the stream is 3 mph

6 0

3 years ago

the elephants at the norfolk zoo are fed 1/2 a barrel of corn each day. the buffalo are fed 7/10 as much corn as the elephants.

maksim [4K]

7/20 barrels of corn are the buffalo fed each day.

How to solve word problems?

It's actually fairly easy to solve word problems using a tried-and-true step-by-step approach.

Aloud to yourself, read the issue.
Make a Drawing.
Ask yourself, "What am I looking for?"
List the items that have been provided.
Locate the key phrases.
Solve.
Verify your work.

Here are some actions to take:

Recognize the issue, including all the terminology used to describe it. Recognize what you need to look for, Recognize the issue's context.
Convert the issue into an equation. Give the unknown a variable (or variables) to symbolize, Indicate exactly what the variable stands for.
Put the strategy into action and find a solution.

Given:

Elephants at the Norfolk zoo are fed = 1/2

Buffalo are fed 7/10 as much corn as the elephants = 7/10 * Elephants fed

= 7/10 * 1/2

= 7/20

Hence, 7/20 barrels of corn are the buffalo fed each day.

To know more about word problems check the below link:

brainly.com/question/13818690

#SPJ4

4 0

1 year ago

On an algebra test , the highest grade was 50 points higher than the lowest the sum of the two grades was 122 find the lowest gr

KATRIN_1 [288]

Answer:

Highest grade: 86

Lowest grade: 36

Step-by-step explanation:

Let the highest grade be h, lowest grade be l.

$h = 50 + l \\ \\ h + l = 122 \\ h = 122 - l \\ \\$

Therefore,

$122 - l \: = 50 + l \\ 2l \: = 72 \\ l = 36 \\ \\ h = 36 + 50 = 86$

6 0

3 years ago

What the factors of 40 with a sum of -22? *

Andru [333]

Answer:

Why is 90 the sum of all factors of 40, including 40? The factors of the number 40 are: 1, 2, 4, 5, 8, 10, 20, 40. If you add them up, you will get the total of 90.

Step-by-step explanation:

2. Given the points A, B, C, D, calculate:

(a) the angle B of the triangle ABC

(b) the area of the triangle ABC

(d) the height AH of the triangle ABC

(e) the volume of tetrahedron ABCD

(f) the point E so that ABCE is a parallelogram.

A(-1, 2, -3), B(4, -1, 0), C(2, 1, -2), D( 3,4,5)

3 0

3 years ago

Read 2 more answers

Question 30 The Royal Fruit Company produces two types of fruit drinks. The first type is pure fruit juice, and the second type

Flura [38]

Answer:

The answer is below

Step-by-step explanation:

The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 85% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 85% pure fruit juice?

Answer: Let x be the number of pints of the first fruit juice (i.e 65%) and y be the number of pints of the second fruit juice (i.e 90%).

Since the total number of pints to make the 85% pure fruit juice is 80, it can be represented using the equation:

x + y = 80 . . . 1)

Also, x pints of the first juice = 0.65x, y pints of the second juice = 0.9y and 80 pints of the mixture to be produced = 80(0.85) = 68. Therefore:

0.65x + 0.9y = 68 . . . 2)

We have to solve equation 1 and 2 simultaneously, first multiply equation 1 by 0.65 to get equation 3:

0.65x + 0.65y = 52 . . . 3)

Subtract equation 3 from 2 and solve for y:

0.25y = 16

y = 16/0.25 = 64

y = 64 pints

Put y = 64 in equation 1:

x + 64 = 80

x = 80 - 64 = 16

x = 16 pints

Therefore 16 pints of the 65% pure fruit juice, and 64 pints of the 90% pure fruit juice is required to make 80 pints of 80% fruit juice.

4 0

3 years ago