Help please!! <br> What is the domain of the function shown in the graph?

Mary, Jill, and Jim have 91 apples. Jill has twice as many as Mary. Tim has 7 more than Mary. How many do they each have?

Arisa [49]

Mary has 21 Jill has 42 Tom has 7

6 0

3 years ago

A bag contains three red marbles, two green ones, one lavender one, four yellows, and five orange marbles. HINT [See Example 7.

kirill115 [55]

Answer:

There are 12 sets of four marbles include all the red ones.

Step-by-step explanation:

Given : A bag contains three red marbles, two green ones, one lavender one, four yellows, and five orange marbles.

To find : How many sets of four marbles include all the red ones?

Solution :

Number of red marbles = 3

Number of green marbles = 2

Number of lavender marbles = 1

Number of yellow marbles = 4

Number of orange marbles = 5

We have to form sets of four marbles include all the red ones,

For position of getting red ones we have three red marbles i.e. $^3C_3$

For the fourth one we have 12 choices i.e. $^{12}C_1$

Total sets of four marbles include all the red ones is

$=^3C_3\times ^{12}C_1$

$=1\times 12$

$=12$

Therefore, There are 12 sets of four marbles include all the red ones.

5 0

3 years ago

(x + 7)^2 – 11 = 0<br> lesser =<br> greater =

Andreyy89

Answer:

Lesser = - $\sqrt{11}$ - 7 = -10.317

Greater = + $\sqrt{11}$ - 7 = -3.683

Step-by-step explanation:

I am assuming you are asking for the lesser x solution and greater x solution.

(x + 7)^2 – 11 = 0

(x + 7)^2 = 11

x+7 = ± $\sqrt{11}$

x = ± $\sqrt{11}$ - 7

Lesser = - $\sqrt{11}$ - 7 = -10.317

Greater = + $\sqrt{11}$ - 7 = -3.683

4 0

3 years ago

Read 2 more answers

7(4x - 2) - 4(2x - 8)

vesna_86 [32]

Answer:

20x + 18

Step-by-step explanation:

We need to use the distributive property, where we essentially take the sum of the product of the outside number with each of the inside terms.

In 7(4x - 2), 7 is the outside number and 4x and -2 are the inside numbers, so:

7(4x - 2) = 7 * 4x + 7 * (-2) = 28x - 14

In 4(2x - 8), 4 is the outside number and 2x and -8 are the inside numbers, so:

4(2x - 8) = 4 * 2x + 4 * (-8) = 8x - 32

Now, we have:

28x - 14 - (8x - 32) = 28x - 14 - 8x + 32 = 20x + 18

The answer is 20x + 18.

6 0

3 years ago

Read 2 more answers

What 5 consecutive odd numbers equal 200

dimulka [17.4K]

Answer:

{36, 38, 40, 42, 44}

Step-by-step explanation:

You are implying that you are adding up 5 consecutive numbers, and should use the word "add" or the word "sum."

"The sum of 5 consecutive odd numbers is 200" leads to:

x + (x+2) + (x+4) + (x+6) + (x+8) = 200. Note how each number is 2 more than the number preceding it. In this way you can guarantee that all of the 5 numbers are odd.

Summing up, we get 5x + 20 = 200, or 5x = 180.

Dividing both sides by 5, we get x = 36.

Then the 5 consecutive integers are

{36, 38, 40, 42, 44}. These add up to 200.

Unfortunately, these are consecutive EVEN numbers, not odd numbers.

Please ensure that you have copied down this problem correctly.

5 0

3 years ago

Help please!! What is the domain of the function shown in the graph?