Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).

Answers

Answer 1

Answer:

The only true statement is :

The graph of the function is a parabola

Step-by-step explanation:

f(x) = x² – 5x + 12

Option 1: The value of f(–10) = 82  

Reason : f(-10) = (-10)² – 5(-10) + 12 = 100 + 50 + 12 = 162 ≠ 82

Option 2: The graph of the function is a parabola  [tex]\huge\checkmark[/tex]

Option 3: The graph of the function opens down

Reason : the coefficient of x² is 1 ,which is a positive number then the graph opens up.

Option 4: The graph contains the point (20, –8)

Reason : f(20) = 312 ≠ -8

Option 5: The graph contains the point (0, 0)

Reason : f(0) = 12 ≠ -8

Answer 2

Answer:

ABC

Step-by-step explanation:


Related Questions

which has a greater magnitude 17 ft above sea level or 11 ft

Answers

Answer:

1 - 52= 52 33= 33 52 > 33, so -52 dollars has the greater magnitude. 1 - 141 = 14 [23] = 23 14 < 23, so 23 feet has the greater magnitude.

Step-by-step explanation:

Hope This Helps

A social security number contains nine digits, such as 224-10-7135. How many different social security numbers can be formed?​

Answers

Answer:

420 million

Step-by-step explanation:

There are up to 420 million numbers that were assinged.

If x²+ y²= 80 and xy = 12, find the value of (x - y)².​

Answers

[tex](x-y)^2\\\\=x^2+y^2 -2xy\\\\=80-2(12)\\\\=80-24\\\\=56[/tex]

We need to factorise (x−y) 2

We know the identity (a−b)2 =a2 −2ab+b2

Thus we have (x−y)2 =x2 −2xy+y2

Write an equation of the line in slope-intercept form.
y=

Answers

Answer:

The equation of the line in slope intercept form is y=1/3x+2

Step-by-step explanation:

Tim’s weight was 320 pounds in 2010 and is 180 pounds in 2020. What is the slope?

Answers

Answer:

-14

Step-by-step explanation:

We have two points

(2010, 320)  and ( 2020, 180)

The slope is

m= ( y2-y1)/(x2-x1)

   = ( 180-320)/(2020-2010)

   = -140/10

   = -14 lbs/ year

20 points. A certain event may occur, but it is unlikely to occur.

Which statement about the probability of the event is true?


A. The probability is close to 0.

B. The probability is 0.

C. The probability is 1.

D. The probability is less than 0.

Answers

Answer:

A

Step-by-step explanation:

Close to 0 means there isn't a certain number, and there also isn't a certain answer for what the probability. While all of the others are alreaady stated, this is the only one that is not.

Question 8
1 pts
What is the best way to describe the central tendency of residential real estate prices in Westwood?
Hint: Westwood real estate is highly skewed. You are able to find houses that are $600,000 to
$69,000,000 with an average price of $1,020,000.
O Median
O Mean

Answers

The best way to describe the central tendency of residential real estate prices in Westwood is mean.

What are measures of central tendency?

A measure of central tendency attempts to describe a data set by determining the central value of the data set. Measures of central tendency are mean, median and mode

Mean is the average of a set of numbers.

Mean = sum of the numbers / total number

To learn more about mean, please check: https://brainly.com/question/25842202

Giving brainliest! need this question rlly soon thank you so much :)

Answers

u add BD which is 8, and AD with is 12 and BC=20
The answer is BC= 20

Men's Shoe Sizes The shoe sizes of eight different men were used to create the box plot above. Which of the sets of measurements below matches the given box plot? A. Shoe Size: 7, 8, 8, 9, 10, 11, 11, 12 B. Shoe Size: 7, 9, 9, 9, 10, 11, 11, 12 C. Shoe Size: 7, 8, 8, 8, 8, 11, 11, 12 D. Shoe Size: 7, 8, 8, 9, 10, 10, 10, 12

Answers

Answer:

The answer is

A. Shoe Size: 7, 8, 8, 9, 10, 11, 11, 12

Step-by-step explanation:

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

- ✨7272033Alt

Submitted on 4/16/2022 at 5:38 PM

(To avoid plagarism, by users whom decide to copy.)

f(x) = - 0.05(x ^ 2 - 26x - 120)

What do the zeros of this function represent? Remember the zeros are where f(x) =0.​

Answers

We are given function  for the path coming out of the cannon.

We also given x is the horizontal distance from the cannon.

We need to explain, what f(x) represents there.

f(x) represents y-axis.

And y-axis also represents height.

Height represents a vertical distance.

Therefore, we could say f(x) represents vertical distance (height) from the cannon for x horizontal distance from the cannon.

I need the answer!! Please answer

Answers

She has knit 6/10 or 3/5 so far

How many solutions does the equation (20 - 12x) = 5 - 3x have?

Answers

Answer:

x=5/3

Step-by-step explanation:

there is only 1

Find nth term of the sequence: 11, 15, 19, 23​

Answers

The term

tn=a+(n−1)d

Where a= first term and d= common difference

hope it helps...!!!

Your answer should be 43!

Find the area of the right triangle

Answers

Answer:

Formula for area of a triangle;

A = BH x 1/2

B = The base

H = The height

1/2 = Half of the product of (base x height)

We first need to figure out the base of this triangle, so count the units across from the base of this triangle.

The base is 4 units.

Now we need to find out the height, so count the units above starting from the base of this triangle and to the end of this triangle.

The height is 7 units.

Now plug these values into our equation:-

A = BH x 1/2

A = 4(7) x 1/2

A = 28 x 1/2

A = 28/2

A = 14, the area of this right triangle is 14 square units.

I NEED HELP ON THIS QUESTION (I will give a Brainlist to the best one no links please.)

Answers

Answer:

1. 84.7

2. 24

3. 47.5

4. 57.5

Step-by-step explanation:

your welcome and mark as brainliest pls

Can you solve for x please? this one has me by the balls.

Answers

Answer:

42.5

Step-by-step explanation:

(180-95)÷2=42.5

The points (4,7) and (r. – 5) lie on a line with slope – 3. Find the missing coordinate r ​

Answers

Answer:

[tex]r=\frac{14}{3}[/tex]

Step-by-step explanation:

Set up an equation and solve for r using the formula for slope:

[tex]\frac{5-7}{r-4}=-3\\ \\-2=-3(r-4)\\\\-2=-3r+12\\\\-14=-3r\\\\\frac{14}{3}=r[/tex]

Question 1 – A two-mass (pulley) system begins in the initial configuration shown in the figure. Once this system is allowed to
move, the cart will move to the right and the suspended mass will fall with the same (magnitude of) acceleration. Determine this
acceleration, A, of this system, and the force in the cable, F, accurate to 3 sig. dig.
Assume the pulley and cable has no mass.

Answers

Answer:

the suspended mass will fall with the same (magnitude of) acceleration. Determine this

accelerat

Step-by-step explanation:

Help picture below problem 13

Answers

Answer:

it's obtuse angle...

mark me brainliest

= Obtuse triangle

Explanation:

 (a triangle in which one of the interior angles measures more than 90° degrees.)

Allowing 20% discount on the marked price if a watch, the value of the watch will be Rs. 2376. If the VAT of 10% is added, find its marked price.

Ans: Rs. 2700​

Answers

original price be x

x-0.2x=23760.8x=2376x=2970

VAT 10%

So new price is 10% less

2970-0.10(2970)2970-297Rs 2673≈2700

36
36
is what percent less than 60
60
?

Answers

Answer:

thats only the answer <3

i need help 100 points for a question

Answers

Answer:

34.28 ft

Step-by-step explanation:

Find the length of semicircle

C = πd, circumference of circleC/2 = πd/2 = 3.14*4/2 = 6.28 ft

Find the perimeter

P = 4 + 6.28 + 2*12 = 34.28 ft

For rectangle

L=12B=4

Perimeter:-

2(L+B)2(12+4)2(16)32ft

For semicircle:-

radius=r=4/2=2ft

Perimeter:-

πr2π6.28ft

Total:-

6.28+32-438.28-434.28ft

Perform the indicated operation: (x3 – 3x + 1) – (x3 + 7 – 12x).

Answers

Answer:

[tex]\left( x^{3}-3x+1\right) -\left( x^{3}+7-12x\right)=9x - 6[/tex]

Step-by-step explanation:

[tex]\left( x^{3}-3x+1\right) -\left( x^{3}+7-12x\right) = x^{3}-3x+1-x^{3}-7+12x[/tex]

                                                [tex]= -3x+1-7+12x[/tex]

                                                [tex]=9x - 6[/tex]

A ball is thrown from an initial height of 3 feet with an initial upward velocity of 44 ft/s. The ball's height h (in feet) after seconds is given by the following.
h = 3+44t-16t^2

Find all values of t which the balls height is 23 feet.

Answers

Answer:

See below ↓↓

Step-by-step explanation:

Given function

h = 3 + 44t - 16t²

We need to calculate the possible values of t at h = 23 feet.

Subsituting h = 23,

23 = 3 + 44t - 16t²16t² - 44t + 20 = 0Divide throughout by 4 as it is a common factor4t² - 11t + 5 = 0

Solving for 't' using quadratic formula

t = 11 ± √121 - 4(4)(5) / 8t = 11 ± √41 / 8

Solutions

t = 11 + 6.4 / 8 = 17.4/8 = 2.175 secondst = 11 - 6.4 / 8 = 4.6/8 = 0.575 seconds

Answer:

t = 2.175 s (3 dp)

t = 0.575 s (3 dp)

Step-by-step explanation:

Given equation: [tex]h=3+44t-16t^2[/tex]

To find all values of t for which the ball's height is 23 ft, substitute h = 20 into the equation and solve for t:

[tex]\implies h=23[/tex]

[tex]\implies 3+44t-16t^2=23[/tex]

[tex]\implies 16t^2-44t-3+23=0[/tex]

[tex]\implies 16t^2-44t+20=0[/tex]

Factor out common term 4:

[tex]\implies 4(4t^2-11t+5)=0[/tex]

Divide both sides by 4:

[tex]\implies 4t^2-11t+5=0[/tex]

Quadratic formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

Use the quadratic formula to solve for t:

[tex]\implies t=\dfrac{-(-11) \pm \sqrt{(-11)^2-4(4)(5)} }{2(4)}[/tex]

[tex]\implies t=\dfrac{11 \pm \sqrt{41}}{8}[/tex]

Therefore,

t = 2.175 s (3 dp)t = 0.575 s (3 dp)

What is the area of this combined shape?​

Answers

Answer:

the amount of space inside a shape composed of basic shapes put together.

Step-by-step explanation:

hope this helps.

Jon mixed 3 cups of pineapple juice with 5 cups of
mango juice to make fruit punch.
Complete the equation below to represent the
relationship between the number of cups of
pineapple juice, p, and the number of cups of mango
juice, m.
p=

Answers

Answer:

p = 5/3m

Step-by-step explanation:

The Ratio of Pineapple juice to mango juice is 3:5. Since you can substitute the variable in, and they have already supplied part of the equation, you can set this equation up:

3p = 5m

divide both sides by 4

p = 5/3m

This tells us that for every cup of Pineapple juice, there is 5/3 cup of mango juice.

Hope this helps!

Brainiest always helps me out :)

22 mice were introduced to a new environment. Their population triples every year. Using m(t) as the function name and t for time, write this equation.​

Answers

Answer:

when were they introduced?

Step-by-step explanation:

14,15,3,15,14,14,18,15,8 mean ,mode,median determine which measure of center best represenrs the data

Answers

Answer:

Mean: 12.9

Mode: 14,15

Median: 14

Step-by-step explanation:

How many minutes are in 3 hours?
There are 60 minutes in one hour.
Complete the table.

Answers

Answer:

180

Step-by-step explanation:

because there are 60 minutes in an hour and you need 3 you need to add 60 + 60 + 60 or your can do 60 x 3 which equals 180

Answer:

180 minutes

Step-by-step explanation:

1 hour - 60 minutes

2 hours - 120 minutes

3 hours - 180 minutes

Because there is 60 minutes in an hour, you can do 60 x 3 = 180. This will directly tell us how many minutes are in 3 hours. Or, you can add 60 minutes 3 times for 3 hours.

So, 60 x 3 = 180. There are 180 minutes in 3 hours.

(a) The area of a rectangular parking lot is 3657 m².
If the width of the parking lot is 53 m, what is its length?

Answers

Answer:

69 m

Step-by-step explanation:

[tex]\textcolor{steelblue}{\text{Area of rectangle= length ×width}}[/tex]

Given that the area is 3657 m² and the width is 53 m,

3657= length ×53

Divide both sides by 53:

length= 3657 ÷53

length= 69 m

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