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2 years ago

Write the vertex form of the quadratic equation by completing the square and upload a picture of your work. y=4x^2+16x-48

Mathematics

1 answer:

luda_lava [24]2 years ago

5 0

The vertex form of the quadratic equation given is y = 4(2x +1)² -12

<h3>What is an Equation ?</h3>

An equation is formed when two algebraic expressions are equated by an equal sign , It has wide usage in mathematics to find the unknown variables.

A quadratic equation is given

y = 4x² +16x -48

The vertex form has to be written for it

The standard quadratic equation is

y = a(x-h)² +k

where h and k are the vertex

From the given equation

y = 4x² +16x +4 - 4 -8

y = (4x+2)² -12

y = 4(2x +1)² -12

So here it is in the standard form

Vertex is (-1 , -12)

To know more about Equation

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F(x)=x 3−9xf, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 9, x What is the average rate of change of f over

mel-nik [20]

Answer:

$A(x) = 243$

Step-by-step explanation:

Given

$f(x) = x^3 - 9x$

$Interval: (12,6)$

Required

Determine the average rate of change

Average rate is calculated as thus;

$A(x) = \frac{f(b) - f(a)}{b - a}$

Calculating f(12)

$f(12) = 12^3 - 9 * 12$

$f(12) = 1728 - 108$

$f(12) = 1620$

Calculating f(6)

$f(6) = 6^3 - 9 * 6$

$f(6) = 216 - 54$

$f(6) = 162$

Substitute 12 for b and 6 for a in $A(x) = \frac{f(b) - f(a)}{b - a}$

$A(x) = \frac{f(12) - f(6)}{12 - 6}$

Substitute values for f(6) and f(12)

$A(x) = \frac{1620 - 162}{12 - 6}$

$A(x) = \frac{1458}{ 6}$

$A(x) = 243$

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3 years ago

Which expression represents the difference (6b+9) – (7b — 4)?

Kazeer [188]

Answer:

there arent any options but this is what i got

− b + 13

Step-by-step explanation:

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3 years ago

Bond [772]

Answer: Choice C) Multiplication property of inequality

The rule basically says that if you start with a < b and you multiply both sides by some positive number c, then a*c < b*c. The sign doesn't flip if you multiply both sides by a positive number.
The sign will flip if c is negative. So we'll go from a < b to a*c > b*c if c is negative.

Example 1:
1 < 5
-2 > -10 ... multiplied both sides by -2; sign flips

Example 2:
3 < 7
9 < 21 ... multiplied both sides by 3; sign does not flip

Similar rules apply to a > b, $a \le b$ and $a \ge b$

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3 years ago

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Because each ticket costs 1 and she spends 8 she would be buying 8 tickets

She has 8 friends so each one would get 1 ticket

The answer is 1

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3 years ago

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