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Ilia_Sergeevich [38]
3 years ago
6

Priya’s cat weights 5 1/2 pounds and her dog weighs 8 1/4 pounds. How many times as heavy is the dog than the cat?

Mathematics
1 answer:
Margaret [11]3 years ago
7 0

Answer:

Step-by-step explanation:

2 3/4

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Express y = -2x² - 4x + 7 in the form of perfect square and find the maximum points.
Marat540 [252]

Answer:

<em>Maximum: (-1,9)</em>

Step-by-step explanation:

<u>Vertex form of the quadratic function</u>

If the graph of the quadratic function has a vertex at the point (h,k), then the function can be written as:

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

Where a is the leading coefficient.

We are given the following function:

y =-2x^2-4x+7

To find the vertex, we need to complete squares. First, factor -2 on the first two terms:

y =-2(x^2+2x)+7

The expression in parentheses must be completed to represent the square of a binomial. Adding 1 and subtracting 1:

y =-2(x^2+2x+1- 1)+7

Taking out the -1:

y =-2(x^2+2x+1)+2+7

Factoring the trinomial and operating:

y =-2(x+1)^2+9

Comparing with the vertex form we have

Vertex (-1,9)

Leading coefficient: -2

Since the leading coefficient is negative, the function has a maximum value at its vertex, i.e.

Maximum: (-1,9)

3 0
2 years ago
2. Which statement about simplifying |-11 - 34 is TRUE?
zalisa [80]

Answer:

B

Step-by-step explanation:

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Step-by-step explanation:

50(4+6)=500

hope it helps you get

3 0
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There you go!

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