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frez [133]
2 years ago
13

Given APQR with vertices P(1,5). Q(-2,1), and R(-4,2), write the translation equivalent to the composition of transformations. L

ine me is y=6
Rm Rx-axis
Mathematics
1 answer:
makvit [3.9K]2 years ago
3 0

Answer Can you explain it a little more

Step-by-step explanation:

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What is the total cost of a $95.00 item with a sales tax of 6%
MaRussiya [10]

Answer: $100.70

Step-by-step explanation: 6% is equal to 0.06, so you can add multiply the price of the item by 1.06 because that is the base cost plus the tax. Then you get $100.70.

7 0
2 years ago
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The amount of money Deon earns working at a store is given in the table.
Sloan [31]
Answer:

C.

Explanation:
I had the quiz as well :)
3 0
2 years ago
Y=-1/3x^2-4x-5 in vertex form
grigory [225]

Answer:

Y=-\frac{1}{3}(x+6)^2+7   [Vertex form]

Step-by-step explanation:

Given function:

Y=-\frac{1}{3}x^2-4x-5

We need to find the vertex form which is.,

y=a(x-h)^2+k

where (h,k) represents the co-ordinates of vertex.

We apply completing square method to do so.

We have  

Y=-\frac{1}{3}x^2-4x-5

First of all we make sure that the leading co-efficient is =1.

In order to make the leading co-efficient is =1, we multiply each term with -3.

-3\times Y=-3\times\frac{1}{3}x^2-(-3)\times4x-(-3)\times 5

-3Y=x^2+12x+15

Isolating x^2 and x terms on one side.

Subtracting both sides by 15.

-3Y-15=x^2+12x-15-15

-3Y-15=x^2+12x

In order to make the right side a perfect square trinomial, we will take half of the co-efficient of x term, square it and add it both sides side.  

square of half of the co-efficient of x term = (\frac{1}{2}\times 12)^2=(6)^2=36

Adding 36 to both sides.

-3Y-15+36=x^2+12x+36

-3Y+21=x^2+12x+36

Since x^2+12x+36 is a perfect square of (x+6), so, we can write as:

-3Y+21=(x+6)^2

Subtracting 21 to both sides:

-3Y+21-21=(x+6)^2-21

-3Y=(x+6)^2-21

Dividing both sides by -3.

\frac{-3Y}{-3}=\frac{(x+6)^2}{-3}-\frac{21}{-3}

Y=-\frac{1}{3}(x+6)^2+7   [Vertex form]

8 0
3 years ago
Help im confusted about remainder therom
Schach [20]

Answer:

(x + 2) is a factor of f(x)

Step-by-step explanation:

Using the remainder theorem to divide f(x) by (x - h)

Evaluate f(h) and if equal to 0 then (x - h) is a factor

f(- 3) = (- 3)³ - 7(- 3)² + 36 = - 27 - 63 + 36 ≠ 0

f(- 2) = (- 2)³ - 7(- 2)² + 36 = - 8 - 28 + 36 = 0

f(- 6) = (- 6)³ - 7(- 6)² + 36 = - 216 - 252 + 36 ≠ 0

f(2) = 2³ - 7(2)² + 36 = 8 - 28 + 36 = 16 ≠ 0

Hence (x + 2) is a factor of f(x)

3 0
3 years ago
Read 2 more answers
A farm has a square fenced-in area with side length x where the farm gives children pony rides. Adjacent to one entire side of t
Vika [28.1K]

Answer:

1) x²+4x=2700

2) 50x50

Step-by-step explanation:

Pony area = x²

line-up area=4x

x²+4x=2700

x²+4x-2700=0

(x-50)(x+54)

So x= 50 or -54.  Since it can’t be a negative number, it must be 50.

CHECK:

Square = 50x50 = 2500

Line up area = 50x4 = 200

2500+200=2700 YES

6 0
3 years ago
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