PLEASEEE I NEED HELP



Given the function f(x) = x2 – 8x + 9
a) Use completing the square to express the given function in vertex form.
b) State the coordinates of the vertex.

Answer: 10x^3(6+5x^2)

Answer:

0.65

Step-by-step explanation:

Answer:

Step-by-step explanation:

2,142/32,800 ≈ 0.065 = 6.5%

Answer:

r = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + [tex]\frac{1}{5}[/tex] )² + (y - [tex]\frac{2}{5}[/tex] )² = [tex]\frac{1}{25}[/tex] ← is in standard form

with r² = [tex]\frac{1}{25}[/tex] , then

r = [tex]\sqrt{\frac{1}{25} }[/tex] = [tex]\frac{1}{5}[/tex]

The radius of the circle is, r = 1/5 units.

An equation of circle with center (h, k) and radius 'r' is,

(x - h)²+(y - k)² = r²

For given example,

the equation of the circle is, (x+1/5)^2+(y-2/5)^2=1/25

By comparing with standard equation of circle (x - h)²+(y - k)² = r²,

we have h = -1/5, k = 2/5 and r² = 1/25

We need to find the radius of the circle,

r² = 1/25

By taking square-root,

we have r = 1/5 units

Therefore, the radius of the circle is r = 1/5 units.

Learn more about equation of circle here:

https://brainly.com/question/10618691

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Answer:

6 bags

Step-by-step explanation:

This problem is essentially asking how many ([tex]\frac{2}{3}[/tex]) peanut bags can one fill with ([tex]4[/tex]) pounds of peanuts. This problem can be solved by divided ([tex]4[/tex]) by ([tex]\frac{2}{3}[/tex]). Set up the problem,

[tex]4[/tex] ÷ [tex]\frac{2}{3}[/tex]

In order to divide by a fraction, one must change the multiplication sign to a division sign, then take the reciprocal of the second number, the fraction. In order to take the reciprocal of a fraction, switch the numerator (number on top) and the denominator (number on the bottom).

[tex]4 * \frac{3}{2}[/tex]

Multiply,

[tex]\frac{12}{2}[/tex]

Simplify,

[tex]6[/tex]

Answer:

Step-by-step explanation:

Now the formula to find the volume of a pyramid is  [tex]V=\frac{lwh}{3}[/tex]

We know the length, width and height so let´s get started!

First let´s multiply to find the base. To do so, we will do length × width.

18 × 18 = 324

Now multiply by the height

324 × 12 = 3,888

After you multiply all length, width and height, we need to divide by three.

3,888 ÷ 3 = 1,296

Before we finish, we need to do the last two steps

First we need to add the measurement unit which is centimetres or cm.

We also need to add ³ since it is volume

1,296 cm³ is our final answer

Answer:

The surface area is 22 square feet

Step-by-step explanation:

For a right rectangular prism, we have the formula for the area as;

A = 2(lb + lh + bh)

Accordingly, we have l as the length, b as the breadth and h as the height

Using the given dimensions, we have

A = 2(3(1) + 3(2) + 1(2))

A = 2(3 + 6 + 2)

A = 2(11) = 22 square feet

Answer:

x = 9

Step-by-step explanation:

The top shape's side values are 3 times larger than the side values of the bottom shape, so x + 15 = 3(8).

Solve for x and you get x = 9.

Answer:

x = 9

Step-by-step explanation:

9 / x = 3   -> x = 3

(x+15) / 3 = 8

x + 15 = 8*3

x+15 = 24

x = 24 - 15

x = 9

Answer:

C- 8.33 cars/h

Step-by-step explanation:

We know she washed 50 cars during 6 hours. To know how many she did per 1 hour, we must do the following:

x represents the number of cars she washed per hour.

Now, solve it with Cross-multiplication.

Hope this helps!!

Answer:

-1 and -3

Step-by-step explanation:

(x+1) (x+3)

Answer:

Surface area of the figure = 1,296π km²

Step-by-step explanation:

Given figure is a sphere;

Given:

Radius of sphere = 18 km

Find:

Surface area of the figure

Computation:

Surface area of the figure = Surface area of sphere

Surface area of sphere = 4πr²

Surface area of the figure = 4πr²

Surface area of the figure = 4π(18)²

Surface area of the figure = 4π(324)

Surface area of the figure = 1,296π km²

Answer:

[tex]16 \times 10 = 160 {in}^{2} \\ 160 \div 16 = 10 {ft}^{2} [/tex]

Answer:

375.66 cm²

Step-by-step explanation:

The two semicircles add to a full circle.

For the circle, d = 18 cm.

r = d/2 = 9 cm.

A = LW - πr²

A = (35 cm)(18 cm) - 3.14(9 cm)²

A = 375.66 cm²

Answer:

B

Step-by-step explanation:

your welcome

Answer:

After 3 seconds

Step-by-step explanation:

Given

[tex]h(t) = -5t^2 + 14t + 3[/tex]

Required

Time the drop will hit the ground

When the drop hits the ground,

[tex]h(t) = 0[/tex]

So, we have:

[tex]0 = -5t^2 + 14t + 3[/tex]

Rewrite as:

[tex]5t^2 - 14t - 3 = 0[/tex]

Expand

[tex]5t^2 + t - 15t - 3 = 0[/tex]

Factorize

[tex]t(5t + 1) -3(5t + 1) = 0[/tex]

Factor out 5t + 1

[tex](t -3)(5t + 1) = 0[/tex]

Split

[tex]t -3 = 0[/tex] or [tex]5t + 1 = 0[/tex]

Solve for t

[tex]t = 3[/tex] or [tex]5t = -1[/tex]

Time cannot be negative.

So:

[tex]t = 3[/tex]

Answer:

2272.03

Step-by-step explanation:

Answer:

brad made 19 cakes, sally made 12

Step-by-step explanation:

Answer:

area of triangle will be same as parallelogram

second one is 12unit^2.

Answer:

17% the next chew Casho pulls out is pineapple

Step-by-step explanation:

pineapple chew 9/54

lemon chew 15/54

lime chew 30/54

9/54 = 0.1666666... make this a percent and you get 17% of the time Casho will pull out a pineapple chew.

Answer:

...................................................................

Step-by-step explanation:

i think its 7

Hope this helps

-scav

Answer: 14%

Step-by-step explanation:

Answer:

Area: 226.98

Circumference: 53.41

Step-by-step explanation:

Answer:

Area = 72.25π ≈226.98 cm

Circumference = 17π ≈ 53.41 cm

Step-by-step explanation:

Area formula for a circle = πr²

Circumference formula = 2πr

r = 8.5cm

Answer:

He spends 20 percent of his free time reading so I think its 1 hour and 48 minutes.

Answer:

The median is 8

Step-by-step explanation:

4+4=8

It is 8 because the middle numbers there are 4 and 4

Answer:

there isnt any image

Step-by-step explanation:

Answer:

d= -28..................