Write a quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, −17) .
f(x)=

Answer:

[tex]20.5\%[/tex]

Step-by-step explanation:

Let's write out a case for two specific questions being correct and the rest being incorrect:

[tex]\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}[/tex],

The [tex]\frac{1}{5}[/tex] represents the chances of getting the question correct, as there are 5 answers and 1 correct answer choice.

The [tex]\frac{4}{5}[/tex] represents the chances of getting the question incorrect, as there are 5 answers and 4 incorrect answer choices.

The equation above does show the student getting two answers correct and three answers incorrect, but it only shows one possible case of doing so.

We can choose any two of the five questions to be the ones the student gets correct. Therefore, we need to multiply this equation by the number ways we can choose 2 from 5 (order doesn't matter): [tex]\binom{5}{2}=10[/tex].

Therefore, the probability the student gets two questions correct is:

[tex]\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \binom{5}{2}=\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot 10=0.2048\approx \boxed{20.5\%}[/tex]

Answer:

y = 12 when x = 6

Step-by-step explanation:

The equation for inverse proportion is

xy = k where k is a constant

Let x = 9 and y = 8

9*8 = k

72 = k

The equation is xy = 72

Let x=6

6*y = 72

Divide each side by 6

6y/6 = 72/6

y =12

Answer:

[tex]31\:\text{square units}[/tex]

Step-by-step explanation:

We can break the composite figure into two triangles and two trapezoids. The area of a triangle is given by [tex]A=\frac{1}{2}bh[/tex] and the area of a trapezoid is given by [tex]A=\frac{b_1+b_2}{2}\cdot h[/tex] (average of the bases multiplied by the height).

Area of first triangle (larger triangle to the figure's left): [tex]\frac{1}{2}\cdot 4\cdot 4=8[/tex]

Area of second triangle (smaller triangle to the figure's right ): [tex]\frac{1}{2}\cdot 2\cdot 5=5[/tex]

Area of first trapezoid (smaller trapezoid directly underneath second triangle and adjacent to both triangles): [tex]4\cdot 2 =8[/tex]

Area of first triangle (larger triangle to the figure's left): [tex]5\cdot 2=10[/tex]

Thus, the area of the entire figure is:

[tex]8+5+8+10=\boxed{31\:\mathrm{units^2}}[/tex]

Answer:

120 km^3

Step-by-step explanation:

the base is a right triangle

A = (leg1 x leg2)/2 = (6 x 8)/2 = 24 km^2

the volume of a prism is base area x height

V = 24 x 5 = 120 km^3

Answer:

2000

Step-by-step explanation:

Answer:

I think Quadrant 1. I;m not trying to just answer for the points

Step-by-step explanation:

Answer:

true 100%

Step-by-step explanation:

Answer:

Only B.

Step-by-step explanation:

Only B because 36/12 does not equal to 12/36!

Answer:

To construct a box plot, use a horizontal or vertical number line and a rectangular box. The smallest and largest data values label the endpoints of the axis. The first quartile marks one end of the box and the third quartile marks the other end of the box

Answer:

this may help

Step-by-step explanation:

A box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value. We use these values to compare how close other data values are to them. To construct a box plot, use a horizontal or vertical number line and a rectangular box.

Answer:

amogus

Step-by-step explanation:

The statement "If |x| = 6, then x can only be equal to 6" is false.

The absolute value of a number represents its distance from zero on the number line.

The expression |x| = 6 means that the distance of x from zero is 6. Therefore, x can be either positive or negative 6.

In this case, x can be either 6 or -6 because both numbers have an absolute value of 6.

Hence, x is not limited to being equal to only 6.

To learn more on Absolute value click:

https://brainly.com/question/4691050

#SPJ6

Answer:

90

Step-by-step explanation:

Step 1: Given data

Side of the rectangular prism (s): 3

Height of the rectangular prism (h): 6

Step 2: Calculate the surface area (SA) of the base

We will use the following expression, replacing the values for s and h.

SA = 2 × s² + 4 × s × h

SA = 2 × 3² + 4 × 3 × 6 = 90

The units are not provided but the SA should have the same units as s and h, but raised to the power of 2.

Step-by-step explanation:

[tex] \frac{2}{3} \times \frac{5}{6} \\ = \frac{10}{18} \\ = \frac{5}{9} [/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

option C . 0.5

Step-by-step explanation:

[tex]cos 300 = cos(2\pi - 300 ) = cos( 360 - 300) = cos 60 = 0.5[/tex]

Using the formula :

[tex]cos\theta = cos (2\pi - \theta )[/tex]

C= 0.5

Step-by-step explanation:

Answer:

13.80 there you go buddy

Answer:

14.2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

THE ANSWER IS 14.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using cos rule

cos 45=adjacent/hypotenuse

1/[tex]\sqrt{2}[/tex]=x/4(do cross multiplication)

x[tex]\sqrt{2[/tex]=4

x=4/[tex]\sqrt{2}[/tex]

x=2[tex]\sqrt{2}[/tex]

Answer:

7.5 ,9.1 ans. hhfjvfbhhvvnjgvjki

Answer:

Step-by-step explanation :The volume V of a prism is V = Bh, where B is the area of the base, h is the height of the prism.To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Answer:

volume of the prism

(20×12×10)-(8×8×20)

2400-1280

1120 cm³

Answer:

116

Step-by-step explanation:

180-28=152

152-36=116

Answer:

16 ft

Step-by-step explanation:

Area = Side^2 = (s)^2 = 256, Side = 16.

So, 16 ft.

Mark this as Brainliest if this was correct! I really appreciate it! :D

Answer:

16ft

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

I did the work on my notebook

Answer:

Step-by-step explanation:

c(a+b)-bc

=3(12+6)-6*3

=36+18-18(plus 18 and minus 18 gets cancel)

=36

Answer:

98 i believe,

Step-by-step explanation:

hope this helps, have a great day :)

Answer:

2.5 feet bud hope it helps

ANSWER FOR UR QUESTION!

Graph

Find f(f(x))

Describe the Transformation

Find the Domain of the Composition f(f(x))

Solve for x

Solve the System of Equations

Find the Area Between the Curves

Solve by Graphing

Answer:

33.7º

Step-by-step explanation:

tan  = opp/adj

tan∅ = 100/150 = 2/3

∅ = arctan 2/3

∅ = 33.690067525979787

33.7º