Write the quadratic function in the form f (x) = a (x - h)? +k
Then, give the vertex of its graph.
f(x) = -3x² +30x - 71 help pls

Answer:

Red

Slope: 3

Y-int: 4

Equation: y = 3x + 4

Blue

Slope: -1/3

Y-int: -4

Equation: y = -1/3x - 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

If red marbles are 10 then answer is 4

Answer:

euifgesr ourugyfru fe

Step-by-step explanation:

Answer:

euifgesr ourugyfru fe

Step-by-step explanation:

Answer:

117

Step-by-step explanation:

The angles line up~ P is the same as angel I.

Answer:

29.78 feet

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

Yolanda is correct.

Step-by-step explanation:

If Hazel has $23.28 and $5.60 more than Nixon, then Nixon will have $17.68 because 23.28-5.60 is 17.68.

The only way Paul would be right is if Nixon has $5.60 more than Hazel because 23.28+5.60 is 28.88.

Answer: 320 ft

Step-by-step explanation:

Answer: is b

Step-by-step explanation:

Answer:

(4 - 3x) / ( 3x - 4) = -1

(2x + 5)/(5x + 2) = 0

Step-by-step explanation:

Answer:

your answer will be D. X - 5 < -9

Step-by-step explanation:

hope it helps have a nice day!!!

Answer:

y=7*4^(x-1)

Step-by-step explanation:

y=a*b^(x-1)

x=1, 7=a

28=7b

b=4

y=7*4^(x-1)

Answer:

B. (-3, -4)

Step-by-step explanation:

The solution to the system of the linear equations represented by the table is the coordinate pair of the point at which both the value of y1 and y2 are the same for a given x-value.

Thus, when x = -3, y1 and y2 are both -4.

Therefore, it is safe to conclude that the solution to the system of equations is:

(-3, -4).

Answer:

x=11

Step-by-step explanation:

180-109-43=28

4x-16=28

4x=44

x=11

Don't we need the full question?

Answer:

[tex]\sqrt{130}[/tex] or 11.4

Step-by-step explanation:

Use the distance formula:

d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

Plug in the points:

d = [tex]\sqrt{(-6 - 5)^2 + (0 - 3)^2}[/tex]

Simplify:

d = [tex]\sqrt{(-11)^2 + (-3)^2}[/tex]

d = [tex]\sqrt{121 + 9}[/tex]

d = [tex]\sqrt{130}[/tex]

= approximately 11.4

So, the distance is [tex]\sqrt{130}[/tex] or approx. 11.4

Answer:

(x - 5)² -121 = 0

Step-by-step explanation:

if you need to find the roots you can take the square root of each side:

(x-5)² = 121

(x-5)² = 121

square root of (x-5)² is x-5

square root of 121 is ±11

first root:  x-5 = 11

x = 16

second root: x-5 = -11

x = -6

Answer:

[tex]f(x) = (x - 5)^{2} - 121[/tex].

Step-by-step explanation:

The goal is to rewrite [tex]f(x)[/tex] in the vertex form [tex]a\, (x - h)^{2} + k[/tex] by completing the square (where [tex]a[/tex], [tex]h[/tex], and [tex]k[/tex] are constants.)

Expand the vertex form expression:

[tex]\begin{aligned}& a\, (x - h)^{2} + k\\ &= a\, (x - h)\, (x - h) + k \\ &= a\, \left(x^2 - h\, x - h\, x + h^2\right) + k \\ &= a\, \left(x^2 - 2\, h\, x + h^2\right) + k\\ &= a\, x^2 - 2\, a\, h\, x + \left(a\, h^2 + k\right) \end{aligned}[/tex].

Compare this expression to [tex]f(x) = x^2 - 10\, x - 96[/tex] and solve for the constants [tex]a[/tex], [tex]h[/tex], and [tex]k[/tex]. Make sure that the coefficient of each term matches:

Substitute [tex]a = 1[/tex] into the second equation, [tex]-2\, a\, h = -10[/tex], and solve for [tex]h[/tex].

[tex]-2 \, h = -10[/tex].

[tex]h = 5[/tex].

Substitute both [tex]a = 1[/tex] and [tex]h = 5[/tex] into the third equation, [tex]a\, h^{2} + k = -96[/tex], and solve for [tex]k[/tex].

[tex]5^2 + k = -96[/tex].

[tex]k = -121[/tex].

Therefore, [tex]a\, (x - h)^{2} + k[/tex] becomes [tex](x - 5)^2 + (-121)[/tex].

Hence, the vertex form of the parabola [tex]f(x)[/tex] would be:

[tex]f(x) = (x - 5)^{2} - 121[/tex].

Answer:

Slope : -1/4

Equation: y = -x + 1/4

Step-by-step explanation:

You start by finding the slope using the slope formula. Then after finding the slope you use one of the pairs to substitute in the equation y = mx+b then after doing that you solve for your b since it will be the only missing variable. Then you have your equation.

Answer:

The answer is 21 - ( 11 - 7 ) ² + 12 = 17

Step-by-step explanation:

Answer:

7y^4+3y-5

Step-by-step explanation:

Answer:

Let r represent the radius of the smaller circle and R the radius of the larger circle.

Apply ratios: the radius of smaller circle to radius of larger circle, i.e.

r: R = 3 : 7.

I complete rotation = 360 degrees.

Part 1:

For one complete rotation of the smaller circle, the larger circle is rotated through: (3/7)*(360) = 154.3 degrees

Part 2:

For one complete rotation of the larger circle, the larger circle is rotated through: (7/3)*(360) = 840.0 degrees

This is equivalent to (840/360) = 2.3 rotations

Alternatively, use the ratios:

The number of rotations = R/r = 7/3 = 2.3 rotations  

BRAINLIEST PLEASE??

Step-by-step explanation:

Answer:

Step-by-step explanation:

for smaller gear circumference=2π×2=4π inches

for larger gear

l=4π

θ=l/r

θ=(4 ×180)/7=720/7=102 .9°

for larger gear circumference=2π×7=14π

number of rotations=(14π)/4π=7/2=3.5 rotations or 3 1/2 rotations.

Answer:

d

Step-by-step explanation:

there isnt an arrow saying it keeps going past 10

Answer:

5/6 because it would be because the numerator would be 5 and the denominator would be 6.  

Answer:

5/6

Step-by-step explanation:

since 5 is on the top it would be the numerator

since 6 is on the bottom it would be the denominator.

Answer:

el1

Answer:

Step-by-step explanation:

3(y-6)=3y-18

which can be expressed as

2y-18+y

Answer:

x=2

Step-by-step explanation:

Step 1: Add 2x to both sides.

4x−3+2x=−2x+9+2x

6x−3=9

Step 2: Add 3 to both sides.

6x−3+3=9+3

6x=12

Step 3: Divide both sides by 6.

6x = 12

6 6

x=2

Answer:

42 as i dont know so ask jeff ma boy from da sewers

Step-by-step explanation: