What is the vertex for the following quadratic?
f(x)= 2x^2-12x+16

Answer:

I would need to hear it.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                                y - y₁ = m(x - x₁)

m = -¹/₃

(1, 2)    ⇒   x₁ = 1,  y₁ = 2

Therefore,  the equation of the line which passes through (1, 2) and with slope of −1/3 in point-slope form:

y - 2 = -¹/₃(x - 1)

y - 2 = -¹/₃x + ¹/₃                     {add ¹/₃x to both sides}

¹/₃x + y - 2 = ¹/₃                     {add 2 to both sides}

¹/₃x + y = 2¹/₃                       {multiply both sides by 3}

x + 3y = 7            

Answer:

a

Step-by-step explanation:

A which is add 40x to both sides wich is A

Answer:

C. 5.44

Step-by-step explanation:

Answer:

4x-1=1/2(10x-20)

8x-2=10x-20

-2x=-18

X=9

Answer:

200

Step-by-step explanation:this problem is actually very simple. a circle and a max measure of 360 so all you do is subtract 160 from 360 and there you go.     :)

Answer:

1 1/3 hours

Step-by-step explanation:

Pipe 1 alone:

fills the pool in 2 hours

in 1 hour, it fills 1/2 of the pool

Pipe 2 alone:

fills the pool in 4 hours

in 1 hour, it fills 1/4 of the pool

Pipe 1 and Pipe 2 working together:

fill the pool in x hours

in 1 hour, they fill 1/x of the pool

Working together, in 1 hour the two pipes fill 1/2 + 1/4 of the pool.

Working together, in 1 hour the two pipes fill 1/x of the pool.

Therefore,

1/2 + 1/4 = 1/x

2/4 + 1/4 = 1/x

3/4 = 1/x

x = 4/3

x = 1 1/3

Answer: 1 1/3 hours

Answer:

Step-by-step explanation:

Answer:

if I'm not mistaken I think your answer will be B

The equivalent expressions for [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] are A, B and E.

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

Given expression is [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].

There are five expressions in the left.

A. [tex]\sqrt{\frac{2(2)(3)(3)(a)(a)(a)(a)(a)(a)(a)(a)}{3(3)(5)(5)(a)(a)} }[/tex]

Here we have to multiply the terms in the numerator as well as in the denominator.

2(2)(3)(3) = 36 and 3(3)(5)(5) = 225

So this expression is equivalent to the given  [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].

B. [tex]\sqrt{\frac{4a^6}{25} }[/tex]

We know that, greatest common factor of 36 and 225 is 9.

36/9 = 4 and 225 / 9 = 25

Also a⁸ / a² = a⁸⁻² = a⁶

So this is also an equivalent expression.

C. [tex]\frac{6}{25} \sqrt{ \frac{a^8}{a^2} }[/tex]

This is not equivalent since √225 = 15, not 25.

D. [tex]\frac{6}{15} a^4[/tex]

This is also not equivalent since  [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\sqrt{a^6}[/tex] = a³, not a⁴.

E. [tex]\frac{2}{5} a^3[/tex]

This is equivalent expression since √36 = 6 and √225 = 15.

[tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] = [tex]\frac{6}{15}[/tex] [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\frac{2}{5}[/tex] [tex]\sqrt{a^6}[/tex] = [tex]\frac{2}{5} a^3[/tex]

Hence the equivalent expressions are A, B and E.

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Your question is confusing. The image of the question is attached below.

Answer:

a 14.3

Step-by-step explanation:

23 divided by 4 is 14.3

Answer:

x=44 degrees

Step-by-step explanation:

A line = 180 degrees

Given degrees: 136

180-136= 44

Answer:

.

Step-by-step explanation:

Answer:

perpendicualr

Step-by-step explanation:

Answer:

L's coordinates would go from being (x,y) to (-x, -y)

Step-by-step explanation:

So like, if L's coordinates were (5, 7) after rotation it would be (-5, -7)

If you were working backward and with L' being rotated you would do (-5, -7) change the sign and do (5,7) for L

Consenquently if you had a negative to begin with- L (-3, -4) L' would be the opposite sign and be (3,4)

Answer:

Volume of replica = 625 cubic inches

Step-by-step explanation:

Height of the gold statue = 80 inches

Volume of the gold statue = 320 cubic inches

Height of the replica = 100 inches

Dimensional scale factor = [tex](\frac{\text{Dimension of the replica}}{\text{Dimension of the original statue}})[/tex]

                                      = [tex]\frac{100}{80}[/tex]

                                      = 1.25

Volume scale factor = [tex]\frac{\text{Volume of replica}}{\text{Volume of original}}[/tex]

Since, volume scale factor = (Dimensional scale factor)³

[tex]\frac{\text{Volume of replica}}{\text{Volume of original}}=(1.25)^3[/tex]

Volume of replica = (1.25)³ × Volume of original statue

                              = (1.25)³ × 320

                              = 625 cubic inches

Answer: No

Step-by-step explanation: The length isn't 90 degree's so it can't be a right triangle

Answer:

x = 18

Step-by-step explanation:

1/2x - 7 = 1/3 (x- 12)

Multiply both sides by 3

3 * 1/2x - 3 * 7 = 3 * 1/3 (x - 12)

3/2x - 21 = x - 12

Collect like terms

3/2x - x = 21 - 12

1/2x = 9

Multiply both sides by 2

x = 2 * 9

x = 18

Answer:

x = 18

hope this helps! :)

Answer and Step-by-step explanation:

The sides and angles should be the same as the un-reflected version, except everything is flipped. Please see attached picture for reference.

#teamtrees #PAW (Plant And Water)

The sides and angles should be the same as the un-reflected version, except everything is flipped, thus the corresponding parts are attached below.

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

Thus, if we are reflecting  a point (x,y) along x axis, then its x abscissa will stay same but y ordinates will negate. Thus (x,y) turns to (x, -y)

Similarly, if we are reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)

The sides and angles should be the same as the un-reflected version, except everything is flipped, thus the corresponding parts are attached below.

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Answer:

2x²-8 if it doesnt give you x=   if it gives you an x= then comment it and ill work it out.

Step-by-step explanation:

it was pretty simple

Answer:

6

Step-by-step explanation:

Factor the numerator, difference of squares

[tex]\frac{(x-3)(x+3)}{x-3}[/tex] ( cancel x- 3 on numerator/ denominator )

= x + 3

limit as x → 3 = 3 + 3 = 6

Answer:

Exact Form: −e12

Decimal Form: −0.22652348…

Step-by-step explanation:

Answer:

the cane

Step-by-step explanation:

Answer:

you idiot are you joking

Answer:

The 9th term in the sequence is 29

Step-by-step explanation:

can i have brainliest please

Answer:

he 9th term in the sequence is 29Step-by-step explanation:

Answer:

100π in²

Step-by-step explanation:

i just took the test :)

The surface area of the ball is 100π square inches. The correct option is C.

The formula for the surface area of a sphere is:

Surface Area = 4πr²

Where r is the radius of the sphere.

Since the basketball has a diameter of 10 in, the radius is half of that, which is 5 in.

Substituting the radius into the formula, we get:

Surface Area = 4π(5²)

Surface Area = 4π(25)

Surface Area = 100π

Therefore, the surface area of the basketball is 100π in².

So the surface area is 100π in².

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Answer:

The answer is below

Step-by-step explanation:

a) If O(x, y) is the midpoint between two points X(x₁, y₁) and Y(x₂, y₂)m then the coordinates of O is:

x = (x₁ + x₂)/2;     y = (y₁ + y₂) / 2

Since M(x, y) is the midpoint of AB, then the coordinates of M is:

x = (0 + 5) / 2 = 2.5;     y = (1 + 0)/2 = 0.5

M = (2.5, 0.5)

b) The center of gravity is gotten by finding the average of the x coordinates and the y coordinates of the vertices of the triangle.

Let O(x, y) be the center of gravity of triangle ABC, hence;

x = (0 + 5 + 4) / 3 = 3

y = (1 + 0 + 2) / 3 = 1

O = (3, 1)

Answer:

35 lol

Step-by-step explanation:

a = b*h/2

a = 10*7/2

a = 70/2

a = 35 lol

$288.00

Step-by-step explanation:

Each side of the classroom =8 yards

since it's a square, that is 8×4=32yards

Per yard=$72.00

$72.00×4

=$288

Answer:

He will earn 18 dollars in interest.

Step-by-step explanation:

I got this answer form multiplying 10% of 90 by 2, which 10% of 90 is 9, and 9 times 2 is 18, so that's how I got my answer. Please comment on this answer to tell me if it's wrong. I hope it is right and that this really helps you. Have a great day!