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TEA [102]
3 years ago
12

A. Draw the graph of the function y = |x - 2| - 1. B. Label the vertex and all intercepts. Upload a copy of your handwritten gra

ph, including labels for the vertex and all intercepts.

Mathematics
1 answer:
hjlf3 years ago
6 0

Step-by-step explanation:

y = |x - 2| - 1

Given equation is in the form of y=|x-h|+k

Where (h,k) is the vertex

h = 2  and k =-1

So (2, -1) is the vertex for the given function

To find x intercepts we plug in 0 for y

we will get two values for x because of absolute function

0 = |x-2| -1

add 1 on both sides

|x-2| =1

x-2 =1                          and x-2 =-1

x= 3                          and x= 1

So x intercepts are (1,0)  and (3,0)

the graph is attached below


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3 years ago
The number of tourists at the beach per weekend in July was 55,000, In November, the number of tourists per weekend was 18,000.
Ganezh [65]

Answer:

The percentage change from July to November is 67.27 %

Step-by-step explanation:

Given as :

The number of tourists at the beach per weekend in the month of July = x_1 = 55,000

The number of tourists at the beach per weekend in the month of November = x_2 = 18,000

Let the percentage change from July to November = A %

Or,  % decrease change = \dfrac{\tetxtrm new value - \textrm old value}{\textrm old value} × 100

So , A % = \dfrac{\tetxtrm [tex]x_2   - \textrm  x_1 }{\textrm  x_1 }[/tex] × 100

or, A % = \frac{55000 - 18000}{55000} × 100

Or, A % = \frac{37000}{55000} × 100

Or, A  = 67.27 %

So percentage change between two months = 67.27 %

Hence The percentage change from July to November is 67.27 % Answer

6 0
3 years ago
Verona is solving the equation –3 + 4x = 9. In order to isolate the variable term using the subtraction property of equality, wh
frutty [35]

Answer:

subtract  -3

Step-by-step explanation:

–3 + 4x = 9

Add 3 to each side

This is the same as subtracting -3

-3 + 4x - (-3) = 9 - (-3)

4x = 9 +3

4x = 12

8 0
3 years ago
Read 2 more answers
You are planning your cousin’s birthday party. He wants to invite at least 250 adults and children combined. Each adult will be
olga_2 [115]

The system of inequalities is x+y≥250 and 3x+2y≤800.

Step-by-step explanation:

Given,

People to invite = at least 250

At least 250 means that the number can increase from 250.

Cups to be provided = only 800

It means the number cannot exceed 800.

Number of adults = A

Number of children = C

According to given statement;

x+y≥250

3x+2y≤800

The system of inequalities is x+y≥250 and 3x+2y≤800.

Keywords: linear inequalities, addition

Learn more about linear inequalities at:

  • brainly.com/question/9738996
  • brainly.com/question/9729310

#LearnwithBrainly

5 0
3 years ago
Reem earns $16 per hour for the first 8 hours of her shift. For each additional hour she works beyond the first 8 hours, she ear
RideAnS [48]

The single shift worked by Reem is 16 hours long.

Total earned = $320

First 8 hours (earning per hour) = $16

Additional hours = $24 per hour

Let the total number of hours worked = m

The Number of hours after 8 hours = m - 8

Representing the scenario with an equation :

(16 × 8) + (24 × (m - 8)) = 320

128 + 24m - 192 = 320

-64 + 24m = 320

24m = 320 + 64

24m = 384

Divide through by 24

m = 384 / 24

m = 16

Hence, the shift is 16 hours long.

Learn more : brainly.com/question/18109354

8 0
2 years ago
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