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marishachu [46]
3 years ago
9

Examine the following system of inequalities.

Mathematics
1 answer:
lubasha [3.4K]3 years ago
7 0

Answer:

Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)

Step-by-step explanation:

we have

y > -x+4 ----> inequality A

The solution of the inequality A is the shaded area above the dotted line y=-x+4

The dotted line passes through the points (0,4) and (4,0) (y and x-intercepts)

and

y \leq -(1/2)^{x} +6 -----> inequality B

The solution of the inequality B is the shaded area above the solid line y=-(1/2)^{x} +6

The solid line passes through the points (0,5) and (-2,2)

therefore

The solution of the system of inequalities is the shaded area between the dotted line and the solid line

see the attached figure

Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)

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Audrey uses 5/8 cup of Fruit in each smoothie she makes 6 smoothies to share with her friends how many cups of fruit does she us
olga55 [171]
To find the amount of cups of fruit used you must multiply the number of smoothies (6) by the amount of fruit need for each smoothie (5/8)
6 x 5/8 = 30/8
30/8 can be simplified to 15/4.
This is still an improper fraction, because the numerator is higher than the denominator. To fix this, you divide 15 by 4, which equals 3 3/4 cups
3 0
3 years ago
What is the exact area of a circle with a diameter of 20 cm?
Kisachek [45]
Hi there! The answer is 100πcm^2

The radius of a circle can be found by dividing the diameter by 2. In other words : the radius is half of the diameter.
Therefore, the radius of a circle with a diameter of 20 cm is 10 cm.

The exact area of a circle can be found using the following formula:
a = \pi \times \: {r}^{2} \\ with \\ a = area \\ r = radius

In order to find our answer, we need to plug in the data from the question.
a = \pi \: \times {10}^{2} = 100\pi

Hence, the answer is 100πcm^2.
5 0
3 years ago
The science club has raised $154. 24 to buy food for a polar bear cub at the zoo. It costs $53.55 to feed the cub each week. How
fomenos

Answer:

$59.96

Step-by-step explanation:

Given:

The science club has raised $154. 24 to buy food for a polar bear cub at the zoo.

It costs $53.55 to feed the cub each week.

Question asked:

How much more money does the club need to raise to feed the cub for one month (four weeks)?

Solution:

Cost of feed for the cub for 1 week = $53.55

Cost of feed for the cub for 4 weeks = $53.55 \times 4 = $214.20

Money raised by the science club = $154. 24

More money needed by science club = Cost of feed for 4 weeks - Money raised by the science club

More money needed by science club = $214.20 - $154. 24

                                                               = $59.96

Thus, the science club will be needed $59.96 more money  for one month (four weeks) feed.

                                           

7 0
3 years ago
Use the estimates to help you choose each correct answer. 14.8(20.7) = Estimate: 15(20) = 300 1.1(9.8) = Estimate: 1(10) = 10 72
lara31 [8.8K]

Answer:

1st 306.36 2nd 10.78 3rd 355.25

Step-by-step explanation:

bc i just skipped and it showed me the answers

6 0
3 years ago
Read 2 more answers
PLEASE HELP AND TELL ME HOW YOU DID IT I HAVE TO SHOW work !! Jeans are on sale for 40% off the jeans Justin wants to buy them m
Harman [31]
Okay, if the jeans were originally $80, take 40% off of that (40% of 80 is 32) so you’d get 48. Now take 48 and multiply by 1.07 (to get 107% of the $48, to find a percentage you can move the decimal place left 2 digits and multiply), so Justin would pay $51.36 in total.
8 0
3 years ago
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