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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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Find the measure of the acute angles pls help
tangare [24]

Answer:

60 degrees

and

52 degrees

6 0
3 years ago
The area of a rectangular flower bed is 24 square feet. The perimeter of the same flower bed is 22 feet. What are the dimensions
Vesna [10]

Answer:

3 ft by 8 ft

Step-by-step explanation:

We were given the area as 24 square feet which means that

L×w= 24....eqn(1)

We were given the perimeter as 22 square feet which means that

22= 2(L +w).......eqn(2)

If we divide both cause by 2 in eqn(2) we have

11= L+ w .....eqn(3)

W= 11-L.........eqn(4)

Substitute eqn(4 into eqn(1)

L× (11-L)=24

-L^2 +11L-24=0

If we factorize

(L-8)(L-3)

L=3 or 8

From eqn4)

W=11-L

At L=3

W=11-3=8

Hence, the dimension is 3 ft by 8 ft

4 0
3 years ago
HI can you help me with this problem?The quantity demanded x for a certain brand of MP3 players is 300 units when the unit price
Vlad [161]

The demand equation is P = -0.05x + 105

STEP - BY - STEP EXPLANATION

What to find?

<em>The demand equation.</em>

The following information is used to solve the problem.

If (x₁ , y₁) and (x₂, y₂) are any dinstinct points on a line a non-vertical line L, then the equation of the line that has a slope(m) and passes through the point (x₁ , y₁) is given by the formula below:

y-y_1=_{}\frac{y_2-y_1}{x_2-x_1}(x-x_1)

Assume p, be the unit price and x be the demand when the price is $p.

From the question given, when the unit price x = 300 units, the demand p = $90 and when the unit price x = 1300 units, the demand p = $40

This means the demand curve passes through the points (300, 90) and (1300, 40).

Assume the demand equation is linear, then the line of the equation passes through the points (300, 90) and (1300, 40).

Now;

y=p x₁ =300 y₁ = 90 x₂ = 1300 y₂=40

Substitute the values into the function and simplify.

p-90=\frac{40-90}{1300-300}(x-300)

Simplify the above.

p-90=\frac{-50}{1000}(x-300)p-90=-0.05(x-300)

Open the parenthesis.

P- 90 = -0.05x + 15

Add 90 to both-side of the equation.

P = -0.05x + 15 + 90

P = -0.05x + 105

Hence, the demand function is P = -0.05x + 105

6 0
1 year ago
Can you guys help me.
Alex Ar [27]
The banner would be 10feet 3inches
6 0
3 years ago
I might kinda go to summer school so help?
bearhunter [10]

Answer:

I think it is A

Step-by-step explanation:

ust remember to divide the diameter by two to get the radius. If you were asked to find the radius instead of the diameter.

8 0
3 years ago
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