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3 years ago

Write v = 2x2 + 12x +1 in vertex form.

Mathematics

2 answers:

Savatey [412]3 years ago

6 0

Answer:

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

Given

y = 2x² + 12x + 1

To express in vertex form use the method of completing the square.

The coefficient of the x² term must be 1 , thus factor out 2 from 2x² + 12x

y = 2(x² + 6x) + 1

add/ subtract ( half the coefficient of the x- term)² to x² + 6x

y = 2(x² + 2(3)x + 9 - 9) + 1

= 2(x + 3)² - 18 + 1

= 2(x + 3)² - 17 → C

rosijanka [135]3 years ago

5 0

Answer:

answer : C 2(x-3)²-17

Step-by-step explanation:

hello :

answer : C 2(x-3)²-17

calculate : 2(x-3)²-17 = 2(x²-6x+9)-17 = 2x²-12x+18-17

2(x-3)²-17 = 2x²-12x+1.....(right)

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Which of the following number lines represents the solution to m/-2 - 7 = -9?

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Answer:

Step-by-step explanation:

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3 years ago

Solve the system of equations. 2y+7x=−5 5y−7x=12

3241004551 [841]

We can solve this by substitution method.

Look at the second equation. If we rearrange to find 7x, we can substitute in the value into the first equation.

$5y-7x=12$

$5y-7x-12=0$

$5y-12=7x$

Therefore, $7x=5y-12$

Now replace the 7x in the first equation with 5y - 12:

$2y+7x=-5$ (substitute in 7x = 5y - 12)

$2y+(5y-12)=-5$

$7y-12=-5$

$7y=7$

$y=1$

Now that we know y, we can find x by substituting in y = 1 into any equation we want. I will use the equation: 7x = 5y - 12

$7x=5y-12$ (substitute in y = 1)

$7x=5(1) -12$

$5x=5-12$

$7x=-7$

$x=-1$

__________________________________________________________

Answer:

$y=1\\x=-1$

4 0

3 years ago

In 5 blank, 278, the difference between the value of the digits in the blank and the blank. What is the blank digit in

Katarina [22]

Answer: The digit in the thousand place is '9'.

Step-by-step explanation: The given number is 5_278.

The difference between the values of the digits in the thousandth place and the tenth place is 8930.

The digits in the tenth place is already given, which is 7

Let's assume the digits in the thousandth place is x,

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3 years ago

Pls helpppp I’m stuck and no one knows

Paladinen [302]

Answer:

x=9

Step-by-step explanation:

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2 years ago

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TRUE OR FALSE:

Oksanka [162]

Answer:

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Step-by-step explanation:

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2 years ago