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vodomira [7]
3 years ago
11

Step by step please :( Convert the equation to Standard Form. y=2(x+1)^(2)-4

Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0

Answer:

y = 2x^2 + 4x - 2  

Step-by-step explanation:

y=2(x+1)^(2)-4 is in vertex form.  We want the same equation in standard form, which looks like y = ax^2 + bx + c.

Perform the indicated multiplication (squaring of x + 1):

y = 2(x^2 + 2x + 1) - 4, or

y = 2x^2 + 4x + 2 - 4, or

y = 2x^2 + 4x - 2                   This is in the standard form of a quadatic.

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I need help with this question.
lilavasa [31]
<h3>Answer:</h3>

<u><em>The height of the rectangular prism is </em></u><u><em>2 yards in length.</em></u>

<h3>Step-by-step explanation:</h3>

By knowing that the volume of a rectangular prism is length * width * height, it is rather simple to find the answer.

Firstly, you'll multiply the lengths that you already know.

(length * width)

<em>3/4 * 1/3 ---> 0.25 or 1/4</em>

Next, you'll divide the volume by this amount to find the unknown height.

<em>1/2 ÷ 1/4 ---> 2</em>

Your height would be 2 yards in length.

4 0
3 years ago
Negative four and one third ÷ two and one fifth
3241004551 [841]

The solution to the given expression negative four and one third ÷ two and one fifth is -1 32/33

<h3>Fraction division</h3>

negative four and one third ÷ two and one fifth

-4 1/3 ÷ 2 1/5

= -13/3 ÷ 11/5

  • Multiply by the reciprocal of 11/5

  • The reciprocal of 11/5 is 5/11

= -13/3 × 5/11

= (-13 × 5) / (3 × 11)

= -65 / 33

= -1 32/33

Therefore, the solution to the fraction is -1 32/33

Learn more about fraction:

brainly.com/question/11562149

#SPJ1

5 0
2 years ago
Read 2 more answers
let event a = the place is a city let event b = the place is in north america which outcomes are in a or b
enyata [817]

Answer:

a or b = a∪b = the place is a city or the place is in north america or the place is a city in north america

Step-by-step explanation:

a means a city

b means place in north america

a or b can be denoted as a∪b, which means a, or b, or both

Thus, we can say:

a or b = a∪b = the place is a city or the place is in north america or the place is a city in north america

It can be these listed above. These are the outcomes of a or b.

8 0
3 years ago
Apply the distributive property to factor out the greatest common factor.<br> 90+27=
solniwko [45]

Answer:

9 (10+3)

Step-by-step explanation:

90 = 9*10 = 9*5*2

27 = 9*3

The greatest common factor is 9

9 (10+3)

6 0
3 years ago
Read 2 more answers
The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model requires 3 hours to assemble and
seropon [69]

Answer:

The maximum profit is reached with 4 deluxe units and 6 economy units.

Step-by-step explanation:

This is a linear programming problem.

We have to optimize a function (maximize profits). This function is given by:

P=98D+72E

being D: number of deluxe units, and E: number of economy units.

The restrictions are:

- Assembly hours: 3D+2E\leq24

- Paint hours: 0.5D+1E\leq8

Also, both quantities have to be positive:

D\geq 0\\\\E\geq0

We can solve graphically, but we can evaluate the points (D,E) where 2 or more restrictions are saturated (we know that one of this points we will have the maximum profit)

(8;0) \rightarrow  P=98*8+72*0= 784\\\\(0;8) \rightarrow P= 98*0+72*8=576\\\\(4;6) \rightarrow P=98*4+72*6=824

The maximum profit is reached with 4 deluxe units and 6 economy units.

4 0
3 years ago
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