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Nadya [2.5K]
3 years ago
5

Can someone find the graph of the inequality

Mathematics
1 answer:
Andrew [12]3 years ago
6 0

Answer:

See below

Step-by-step explanation:

The "y ≤" tells you two things:

  1. The boundary line will be solid (because the "or equal" case is included)
  2. The shading will be below the line (where y is less than ...)

Only one graph meets those requirements.

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Which steps transform the graph of
vitfil [10]

Answer:

The correct option is the last one.

Step-by-step explanation:

To transform the graph of y = x ^ 2 into y = -2(x - 2) ^ 2 + 2 the following steps are fulfilled:

1) Move the graph 2 units to the right:

Let y = f (x-2) then y =(x-2) ^ 2 Notice that the cut point has been moved to x = 2.

2) Reflect on the x axis:

To reflect a graph on the x-axis we do y = -f(x) Then f (x) = -(x-2) ^ 2

3) Stretch according to factor 2.

For this we do y = 2f(x)

Then we have f(x) = -2 (x-2) ^ 2

4) Move up the graph in two units:

We do y = f(x) +2

Then y = -2(x-2) ^ 2 +2.

These steps coincide with those listed in the last option. Therefore the correct option is the last one.

"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"

4 0
3 years ago
A bill from a plumber was $306 The plumber charged $150 for parts and $52 per hour for labor. How long did ths plumber work at h
ludmilkaskok [199]
We can make an equation from this.
Our intial value is 150 for parts, and he works for 52 dollars an hour.
We can define <em /><em>h</em> for hours and <em /><em>c</em> for total cost.
Therefore, we have:
c = 150 + 52h.
We can set this equal to 306 dollars, as that's the given total cost:
306 = 150 + 52h
Subtract 150 from both sides:
52h = 156
Divide both sides by 2:
h = 3
He worked 3 hours.
hope this helped!

6 0
3 years ago
It is not possible to calculate the theoretical probability of making a basketball shot, because there are too many factors invo
sladkih [1.3K]

Answer:

45

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Cody lives 1 mile from spring lake park After he walks 5/8 miles towards spring lake park, he stops to talk with his friend alle
Nookie1986 [14]
I cant make a timeline but the correct answer is 3/8 of a mile
6 0
3 years ago
Roll the number cube to find the observed frequency. Which statements are true? Check all that apply
ch4aika [34]

Answer:

(a) and (c)

Step-by-step explanation:

Given

See attachment for complete question

Required

Select all true statements

First, calculate the total observed frequency;

Total = 11 + 16 + 14 + 20 + 12 + 17

Total = 90

<u>(a): Relative frequency of 4 is 2/9</u>

Relative frequency is calculated by:

RF= \frac{Observed\ Frequency}{Total}

For roll 4

Observed\ frequency = 20

So, the relative frequency is:

RF = \frac{20}{90}

Simplify

RF = \frac{2}{9}

<em>(a) is true</em>

<u>(b): Experimental probability of 3 greater than its theoretical probability</u>

The experimental probability is its relative frequency;

For roll 3

Observed\ frequency = 14

The experimental probability is:

Pr = \frac{14}{90}

Simplify

Pr = \frac{7}{45} = 0.156

To calculate  the theoretical probability, w have:

S = \{1,2,3,4,5,6\} ---- sample space

n(S)= 6

n(3) = 1 --- number of times 3 occur

The theoretical probability is:

Pr = \frac{1}{6} = 0.167

The theoretical probability is greater\ than\ the experimental probability.

<em>(b) is false</em>

<u>(c): Experimental probability of 2 greater than its theoretical probability</u>

Using the explanations in (b), we have:

For roll 2

Observed\ frequency = 16

The experimental probability is:

Pr = \frac{16}{90}

Simplify

Pr = \frac{8}{45} = 0.178

To calculate the theoretical probability, we have:

n(S)= 6

n(2) = 1

The theoretical probability is:

Pr = \frac{1}{6} = 0.167

The experimental probability is greater\ than\ the theoretical probability.

<em>(c) is true</em>

<u>(d): Relative frequency of 5 is 2/13</u>

For roll 5

Observed\ frequency = 12

The relative frequency is:

RF = \frac{12}{90}

Simplify

RF = \frac{2}{15}

<em>(d) is true</em>

7 0
2 years ago
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