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Flura [38]
3 years ago
10

Which equation is y = 2x2 – 8x + 9 rewritten in vertex form?

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0

Answer:

C

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

Given

y = 2x² - 8x + 9

The coefficient of the x² term must be 1, so factor out 2 from 2x² - 8x

y = 2(x² - 4x) + 9

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = 2(x² + (- 2)x + 4 - 4) + 9

   = 2(x - 2)² - 8 + 9

   = 2(x - 2)² + 1 → C

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If the range of f(x)= square root mx and the range of g(x)=m square root x are the same, which statement is true about the value
AveGali [126]
M can be any positive real number.

Explanation:

From f(x) = √(mx) ; if x is posive m has to be positive; if x is negative m has to be negative; if x is cero m can have any value, and the range will always be 0 or positve

From g(x) = m √x; x can only be 0 or positive and the range will have the sign of m.

Given we concluded that the range of f(x) can only be  0 or positive, then me can only be 0 or positive. 
3 0
3 years ago
216q^3+15q^3 please help me solve it​
katrin [286]

Answer:

231q^3

Step-by-step explanation:

Just add them together. They have the same expressions. Whenever you see a number with an ending similarly to another such as 3x and 2x, they can add together.

This is no different. If something is 6x^2 and another is 7x^2, you would add them to get 13x^2.

3 0
3 years ago
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stich3 [128]
Is the algebra, if so what type?
4 0
3 years ago
John, and bill shared $900 in the ratio 7:3 respectively. how much money did each person get?
S_A_V [24]

John get money $630 and bill get money $270.

Given that John and bill shared $900 in the ratio 7:3 respectively.

The ratio is defined as the comparison of two quantities of equal units, indicating the quantity of one quantity contained in the other quantity.

The total ratio is 7+3=10

For john:

John has money seven out of 10 for the $900, we get

J=900×(7/10)

J=90×7

J=630

For bill:

Bill is three out of ten for $900, we get

B=900×(3/10)

B=90×3

B=270

Hence, john get money $630 and bill get $270 when they both shared $900 in the ratio 7:3 respectively.

Learn more about ratio from here brainly.com/question/2914376

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1 year ago
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Answer:

B.) is the answer bro I got the same test bro like just trust me and give me 5 start and like and give a heart

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