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Afina-wow [57]
3 years ago
15

Which of the following describes graphing y ≥ |x| + 4?

Mathematics
2 answers:
kolbaska11 [484]3 years ago
5 0

Answer:

Translate  y=\left|x\right| up 4 units and shade inside the V

Step-by-step explanation:

we know that

The function y=\left|x\right| has the vertex at point (0,0)

The function y=\left|x\right|+4 has the vertex at point (0,4)

so

the rule of the translation is

(x,y)------> (x,y+4)

That means

The translation is 4 units up

The solution of the inequality  y\geq\left|x\right|+4

is the shaded area inside the V

see the attached figure to better understand the problem

therefore

the answer is

Translate  y=\left|x\right| up 4 units and shade inside the V

bonufazy [111]3 years ago
5 0

Answer:

Option 2 - Translate y = |x| up 4 units and shade inside the V.

Step-by-step explanation:

Given : Function y\geq |x|+4

To find : Which of the following describes graphing ?

Solution :

The parent function is y=|x|

Shift the function 'b' unit up f(x)→f(x)+b

We have given function is increases by 4 unit.

Which means it translated 4 units up.

As y is greater than equal to so it shade inside the V.

Refer the attached figure below.

Translate y = |x| up 4 units and shade inside the V.

Therefore, Option 2 is correct.

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Simplify 8/-3 ÷ -4/9<br><br> A. -8<br> B. -6<br> C. 6<br> D. 8
geniusboy [140]

Answer:

C. 6

Step-by-step explanation:

to divide by a fraction multiply by the recirpocal of that fraction.

8/3 ÷ 9/4

reduce the numbers with GCF 4 which equals 2/3 x 9

reduce the numbers with GCF 3 which equals 2x3= 6

4 0
3 years ago
In a recently administered iq test, the scores were distributed normally, with mean 100 and standard deviation 15. what proporti
iragen [17]

To solve for proportion we make use of the z statistic. The procedure is to solve for the value of the z score and then locate for the proportion using the standard distribution tables. The formula for z score is:

z = (X – μ) / σ

where X is the sample value, μ is the mean value and σ is the standard deviation

 

when X = 70

z1 = (70 – 100) / 15 = -2

Using the standard distribution tables, proportion is P1 = 0.0228

 

when X = 130

z2 = (130 – 100) /15 = 2

Using the standard distribution tables, proportion is P2 = 0.9772

 

Therefore the proportion between X of 70 and 130 is:

P (70<X<130) = P2 – P1

P (70<X<130) = 0.9772 - 0.0228

P (70<X<130) = 0.9544

 

Therefore 0.9544 or 95.44% of the test takers scored between 70 and 130.

6 0
3 years ago
-30 &lt; x/-4 must be simplified​
Norma-Jean [14]

Answer:

120 > x

Step-by-step explanation:

multiply -4 on both sides, -30 * -4 = 120

since you multiplied by a negative you change the sign

<3

7 0
3 years ago
Read 2 more answers
Ms. drake invests $1000 at a simple interest rate of 8.5% for 2 years. how much interest will she earn in this time?
PilotLPTM [1.2K]

Ms. Drake will earn \$ 170 in this time from the investment of \$ 1000 at a simple interest with rate of interest 8.5\%

<h3>What is the definition of simple interest?</h3>

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Conversely, for compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

Formula for finding simple interest is \frac{principal \times rate \ of \ interest \times time}{100}

Given principal of Ms. Drake is \$1000

Rate of interest is 8.5 \%

Time is 2 years.

Interest =\frac{1000 \times 8.5 \times 2}{100}

            =\frac{17000}{100}\\=170

Therefore, Ms. Drake will earn \$ 170 in this time.

To learn more about simple interest from the given link

brainly.com/question/7639734

#SPJ4

7 0
1 year ago
Please help me with thisss
Solnce55 [7]

Answer:

(x, y) = (-2, -3)

WORK:

2x + 4y = -16  =

-2x + 2y = -2  =

(^ the two’s cancel out) =

6y = -18  =

(^ you need to divide 6 on both sides to get just y) =

6y/6 = -18/6  =

(^ the six’s cancel out) =

y = -3  =

(^ now you have to plug this in to get x) =

2x + 4(-3) = -16  =

2x - 12 = -16  =

(^ you need to add 12 on both sides to get rid of it on the left side to add it to -16 on the right side) =

2x = -4  =

2x/2 = -4/2  =

(^ now you divide 2 on both sides again to get just y, and they will cancel out) =

x = -2  =

THEREFORE YOU GET (-2, -3)

4 0
3 years ago
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