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Rudiy27
3 years ago
12

Write an equation to represent the sentence.

Mathematics
1 answer:
Luda [366]3 years ago
6 0

Answer:

2x + x/2 = 10

Step-by-step explanation:

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3 years ago
Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ
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PART A

The equation of the parabola in vertex form is given by the formula,

y - k = a {(x - h)}^{2}

where

(h,k)=(1,-2)

is the vertex of the parabola.

We substitute these values to obtain,


y  + 2 = a {(x - 1)}^{2}

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.


6  + 2 = a {(3 - 1)}^{2}


8= a {(2)}^{2}


8=4a


a = 2
Hence the equation of the parabola in vertex form is


y  + 2 = 2 {(x - 1)}^{2}


PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

y  + 2 = 2{(x - 1)}^{2}

This implies that

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


We expand to obtain,


y + 2 = 2( {x}^{2}  - 2x + 1)


This will give us,


y + 2 = 2 {x}^{2}  - 4x + 2


y =  {x}^{2}  - 4x

This equation is now in the form,

y = a {x}^{2}  + bx + c
where

a=1,b=-4,c=0

This is the standard form
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a company will clean jarrel carpets for a total of $71 jarrel has a coupon for 20% of the total how much will jarrel save when h
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Answer: 14.2 I hope im Right but it’s a simple question

Step-by-step explanation:

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Work out the value of angle x
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well, it's isosceles so use base angles theorem

the top angle is also x

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divide both sides by 2

x = 45 degrees

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3 years ago
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A curious accountant at a large firm would like to know if money can buy happiness. She selects a random sample of 30 of her wea
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Step-by-step explanation:

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