MATHEMATICS MIDDLE SCHOOL

Which of the following functions is graphed below

Answers

Answer 1

Answer:

Option: C is the correct answer.

C. y=|x+4|-2

Step-by-step explanation:

We know that the vertex of a absolute value function or a modulus function f(x) of the type:

f(x)=a|x-h|+k

is denoted by V such that:

V=(h,k)

By looking at the graph of the function we see that the vertex of the function is:

(-4,-2)

y=|x+4|+2

The vertex of this function is:

(-4,2)

Hence, option: A is incorrect.

y=|x-4|+2

The vertex of this function is: (4,-2).

Hence, option: B is incorrect.

y=|x-4|-2

The vertex of this modulus function is: (4,-2)

Hence, option: D is incorrect.

y=|x+4|-2

The vertex of this function is: (-4,-2)

Also, we see that the graph of this function matches the given graph.

Hence, option: C is correct.

Answer 2

Answer:

Answer:

Step-by-step explanation:

y=|x+4|-2

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one year, the attendance at the super bowl was 79,401. the following year, attendance was 85,916 use words to explain the relationship between the digit 9 in 79,401 and the digital 9 in 85,916

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The 9 digit is in the ten thousand place.The ten thousand place is less than hundred thousand , and it's greater than one thousand , hundred place , ten place ,and the ones place.

So the law of order and the law of grouping apply to division

Answers

It depends on what you are grouping

Jenna has a bag that contains 7 red marbles and 25 blue marbles. She selects a marble at random, and then, without replacing the first one, selects another marble at random.What is the probability that Jenna selects a blue marble and then a red marble? Round your answer to the nearest percent.

P(blue and red) ≈

Answers

Jenna has a bag that contains the following
=> 7 red marbles
=> 25 blue marbles.
She selects a marble at random, and then, without replacing the first one, selects another marble at random.
=> 7 + 25 = 32 marbles are there in all.
For blue marble
=> 1/32 is the probability
For red
=> 1/31 is the probability
or
3%

So if we have a total of 32 marbles in the bag and the first pull we want a blue we can say the total number of favorable outcomes is 25/32 then to pull a red marble is 7/31 because one marble had been removed.

25/32 x 7/31 = 0.176 So now we need to round to the nearest percent which would be 18% chance.

4.What is the capacity of the cube in liters?

A.
64,000 L

B.
6400 L

C.
640 L

D.
64 L

..............................................................
the lenth width and heighth are 40cm

Answers

1 cubic centimeter = 1 milliliter, so your 8cm cube is 8x8x8 = 512 cubic centimeters.
This would equate to a volume of 512 milliliters which is equal to just over 1/2 liter (0.512 liters).

The diagram below shows the contents of a jar from which you select marbles at random.a. What is the probability of selecting a red marble, replacing it, and then selecting a blue marble? Show your work.
b. What is the probability of selecting a red marble, setting it aside, and then selecting a blue marble? Show your work.
c. Are the answers to parts (a) and (b) the same? Why or why not?

Answers

So,

There are 4 red marbles.
There are 7 blue marbles.
There are 5 green marbles.
There are 16 marbles in total.

a.
Answer = (probability of selecting a red marble)(probability of selecting a blue marble)
First, the probability of selecting a red marble.
$(4)/(16) \ or\ (1)/(4)$

Next, the probability of selecting a blue marble.
$(7)/(16)$

Multiply the probabilities together.
$(1)/(4) * (7)/(16) = (7)/(64)$
That is the probability for event a.

b.
Answer = (probability of selecting a red marble)(probability of selecting a blue marble)
First, the probability of selecting a red marble.
$(4)/(16) \ or\ (1)/(4)$

Next, the probability of selecting a blue marble WITH A RED MARBLE REMOVED.
$(7)/(15)$

Multiply the probabilities together.
$(1)/(4) * (7)/(15) = (7)/(60)$
That is the probability for event b.

c.
Obviously:
$(7)/(64) \neq (7)/(60)$
So the answer is no.

Nancy wants to put a birdseed mix in her birdfeeder. The mix is 20% wild bird seed and 80% sunflower seed. Her birdfeeder can hold 8 cups of birdseed. How much wild bird seed does she need to fill the birdfeeder?I really need help with this question plzz someone help

Answers

The total number of cups is 8.

We know that 20% is wild birdseed, this means:
$8 \cdot (20)/(100) = 1.6$ cups of wild birdseed

and

$8 \cdot (80)/(100) = 6.4$ cups of sunflower seeds

In total she will put 1.6 + 6.4 = 8 cups of birdseed mix

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