Use the parabola tool to graph the quadratic function f(1) = x² + 100 + 24 Graph the parabola by first plotting its vertex and then plotting a second point on the parabola

Answers

Answer 1

Answer:

Vertex is (-5, -1)

(-3, 3) is a point on the parabola.

Step-by-step explanation:

f(x) = x² + 10x + 24

Let (h, k) be the vertex

h = -b/2a = -10/2(1) = -5

k = f(-5) = (-5)^2 + 10(-5) + 24

  = 25 - 50 + 24 = -1

Vertex is (-5, -1)

Now, let x be some value different than -5, say -3

f(-3) = (-3)^2 + 10(-3) + 24

      = 9 - 30 + 24 = 3

So, (-3, 3) is a point on the parabola.


Related Questions

Two linear functions are described below.
Function 1 has the equation y = - 2x + 4.
Function 2 is a line passing through the points (0, 4) and (8,0).
Which of the following statements are true? Select one that applies.

Answers

c. same y intercept

Answer:

c

Step-by-step explanation:

Solve the inequality and graph the solution. 2+4b≤10

Answers

Answer:

b≤2

Step-by-step explanation:

2+4b≤10

Subtract 2 from each side

2-2+4b≤10-2

4b≤8

Divide each side by 4

4b/4≤8/4

b≤2

It takes 1/4 of an hour to mow 1/5 of his yard. How much of the yard can he mow per hour

Answers

Answer:

4/5

Step-by-step explanation:

if it take 1/4 of an hour to mow 1/5 of his yard.

First you have to find out what is 1/4 of an hour which in order to find you have to multiply 1/4 by 60 because it has 60 mins in an hour. You now have 15 mins and we already know there are 60 mins so we divide 60 by 15 which give you 4 then you multiply 1/5 by 4 which gives you 4/5 or 0.8.

Can someone help me with this question please?!

Answers

Answer:

H. $26

Step-by-step explanation:

$6.50 x 4 = 26. The cost is exact.

Can anyone give me the answer for X? Plz

Answers

Answer:

x=12

Step-by-step explanation:

Since the triangles are congruent, you can set each equation equal to each other and solve to find x:

11x-70=5x+2

6x-70=2

6x=72

x=12

I hope this helped!

The Ace Bicycle Shop charges a flat fee
of $4, plus $1 per hour, for the hire of a
bicycle. The Best Bicycle Shop charges
a flat fee of $8, plus 50 cents per hour.
Connie and her friends hire three bicycles
from Ace, and David and his brother hire
two bicycles from Best. After how many
hours will their hire costs be the same?

Answers

Answer:

x = number of hours = 8 hours

Step-by-step explanation:

Let

x = number of hours

There are 3 people who rented bicycle from each shop

Ace bicycle shop:

Total cost = 3(4 + x)

= 12 + 3x

Best bicycle shop:

Total cost = 3(8 + 0.50x)

= 24 + 1.5x

Equate both equations and solve

12 + 3x = 24 + 1.5x

12 - 24 = 1.5x - 3x

-12 = -1.5x

x = -12/-1.5

x = 8 hours

x = number of hours = 8 hours

oblicz objętość i pole powierzchni sześcianu o krawędzi 3cm . narysuj siatkę bryły​

Answers

Answer:

Please can you speak English

Then I can solve your question

Step-by-step explanation:

Have a great day

+
Find the missing side to the nearest tenth 23 and 19

Answers

C for sure CCCCCCCCCCC

What is the radius?
Find the length of the radius of the circle with an equation of
(x + 3)2 + (y-7)2 = 289.

Answers

Answer:

Radius = 17.

Step-by-step explanation:

If(h,k) is centre and rradius, the eqn. of circle is :(−x h)2+(y−k)2=r2

Comparing with the given eqn. of circle, we find, r2=289 Hence, radius  is 17

The type of number that cannot be expressed as a fraction because the fractional part would go on for infinity without ever repeating a sequence is:

Answers

Irrational

Hope this helps :D

Old Grandpa Joe left half his money to his granddaughter and half that amount to his grandson.
He left a sixth to his brother, and the remainder, £1,000, to the Dogs’ home.
How much did he leave altogether?

Answers

Answer:

£12000

Step-by-step explanation:

Granddaughter -- 1/2 of x

Grandson -- 1/2(1/2 of x)

Brother -- 1/6 of x

Dogs' home -- £1000

Therefore,

[tex]\frac{x}{2} + \frac{x}{4} + \frac{x}{6} + 1000 = x[/tex]

x = 12000

Thenks and mark me brainliest :)

I need help immediately!!!!!!!

Answers

Answer:

y = -2/3x - 5

Step-by-step explanation:

A farmer has 200 feet of fencing to use for a chicken pen. He wants the width of the pen to be 27 feet. What will the length be?​

Answers

Answer:

Length will be 173

Step-by-step explanation:

I REALLY NEED HELP im struggling please show how to do it show WORK please. no links
-3.6h = -10.8 check your solution

Answers

Answer:

h=3

Step-by-step explanation:

I divided -3.6 on both sides to get h by itself, and now I have h=-3.6/-10.8. combine like terms (-3.6/-10.8) and I got 3. My final answer would be h=3

ASAP!!!!
In a class of 30 students, 17 have a brother and 14 have a sister. There are 8 students who have a brother and a sister. What is the probability that a student chosen randomly from the class does not have a brother?​

Answers

Answer:

[tex]\frac{14}{30} = 7/15[/tex]

The probability that a randomly selected student has a brother given they have a sister is 11/30.

We have given that,

Of 30 students in a class, 17 have a brother, 20 have a sister, and 11 have a brother and a sister.

What is the formula for probability?

The Probability of an event is the ratio of the number of favorable events divided by the total number of outcome in the sample space.

Since there are 30 students in total, and 11 of them have both a brother and a sister,

Then 11/30 (11 out of the 30 students) would be the probability of a student having a brother given that they have a sister.

To learn more about the probability visit:

https://brainly.com/question/24756209

#SPJ2


Which fraction is
equivalent to 1/8

Answers

the equivalent fractions are 2/16 8/64

What about 2/16?

We can reduce 2/16 to 1/8.

Find the arch length
(Give an exact answer & show work)

Answers

Answer:

12.56637

Step-by-step explanation:

[tex]Arc length = 2\pi r(\frac{0}{360}) \\Arc lenght = 2\pi 6(\frac{120}{360} )[/tex]

a pair of jeans originally cost $85 but are on sale for 45% off. What is the sale price?

Answers

Question:

A pair of jeans originally cost $85 but are on sale for 45% off. What is the sale price?

Answer:

The sale prince is $46.75

Step-by-step explanation:

PLEASE HELP ME FAST! WILL GIVE BRAINLIEST.
What is the length of the segment joining the points at (−3, 0) and (5, 6)?

Enter your answer in the box.

units

Answers

Answer- √ 26

Explanation:

Use the distance formula:  

√ ( y 2 − y 1 )²  +  ( x 2 − x 1 ) ²

Plug in your values:

√ ( − 5−   ( − 4 )  )²  +  ( 2 −  ( − 3 ) )²

Simplify:

√ ( − 1 )²  +  ( 5 )²

Simplify:  

√ 1 + 25

Simplify:

√ 26

-----------------------------------------------------

Anyways bye!

Write 2/100 as a decimal.

Answers

Answer:

0.02

Step-by-step explanation: I need brainliest for the next rank I’d appreciate it

Answer:

0.02

Step-by-step explanation:

You can get your answer by simply dividing the top number (numerator - 2) by the bottom number (denominator - 100).

I have an average of 84 right now but I failed my homework so that would most likely turn to an 82 and my parents will actually kill me I need to get to at least an average of 90 minimum I know report cards will be out soon and I will guess I have a week before marking period three ends could I boost my average up by 6-8% within a week of getting straight hundreds in my homework? Homework’s count a lot.

Answers

Answer:

I would say yes. Now I'm not in your type of school grading system, but if you try to get as many 90s and 100s in your homework for the next week, you would probably get there.  

Step-by-step explanation:

Good luck! I know you will do great.

What is the sales tax of a $15.95 video game if the tax rate is 7%​

Answers

Answer:

$17.07

Step-by-step explanation:

Step 1: Find the percent of the price

Convert 7% to fraction

[tex]= \frac{7}{100}\\\\=\frac{7}{100}\times \:15.95[/tex]

Multiply

[tex]=\frac{7\times \:15.95}{100}[/tex]

Multiply the factors

[tex]7\times \:15.95=111.65\\\\=\frac{111.65}{100}[/tex]

Divide

[tex]\frac{111.65}{100}=1.1165\\\\=1.1165[/tex]

Step 2: Add the percent off to the original price

[tex]15.95 + 1.1165\\\\= 17.0665[/tex]

Therefore, the total cost including tax in the nearest cent is 17.07 dollars

A rectangular box has a height of 6yd length of 8 yards and width of 12yards Whats the volume?

Answers

Answer:

576 yards

Step-by-step explanation:

There are two bags of oranges on sale. The prices are shown below: Bag A: $2400 containing 12 oranges Bag B: $3000 containing 20 oranges Which is the better buy?

Answers

Answer:

Bag B which is $150 for one orange

Step-by-step explanation:

In ,bag A 12 oranges cost 2400

The price of one orange in bag A is

= 2400/12

= $200

In bag B 20 oranges cost $3000

The cost of one orange in bag B is

= 3000/20

= $150

Hence the better buy is bag B which goes for $150 for one orange

Who could help me please and thank you

Answers

Answer:

"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"

Step-by-step explanation:

We have the expression:

[tex]-\frac{x^3}{6} - 10 + x[/tex]

First, what does that expression represents?

As al the powers of x are positive numbers, we can see that this is a polynomial, and the largest power is 3, so this is a polynomial of degree 3, also called a cubic polynomial.

How many terms are there?

The terms are the things separated by + or - symbols, is easy to see that there are 3 terms.

What is the constant term?

The constant term is the term where the variable, x, does not appear, here the constant term is: -10

What is the leading coefficient?

The leading coefficient is the coefficient that multiplies the term with the largest power of x, in this case, we can rewrite:

[tex]-\frac{x^3}{6} -10 + x = (\frac{-1}{6})*x^3 - 10 + x[/tex]

the leading coefficient is:

(-1/6)

There is a part of the statement that I can't read, i suppose that there says:

"leading degree"

this is just the largest power of x that appears in the polynomial, in this case, is 3.

Then the complete statement is:

"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"

how many cups is 5 1/8 gallons

Answers

Answer:

82 Cups

Step-by-step explanation:

The answer is 82 cups

I need the answer pls Immediately!!!!!!!

Answers

Answer:

Equation: y = 5x - 2

Step-by-step explanation:

Slope = Change in y / Change in x

Change in y = +5

Change in x = +1

Slope = 5/1 or 5

Y-intercept = y-value where x = 0

x = 0, y = 3-5

y = -2

y-intercept = -2

Finally;

Equation: y = 5x - 2

Hope this helps!

Answer:

y = 5x - 2

Step-by-step explanation:

(1,3) (2,8)

y2 - y1 / x2 - x1

8 - 3 / 2 - 1

5

y = 5x + b

3 = 5(1) + b

3 = 5 + b

-2 = b

Select all of the statements that are true for the given parabola

Answers

Answer: it is D (1,-5) I think

Find the distance between the two points (-2,3) (2,4)

Answers

Answer:

Not sure of the answer but may be is 2/6

Answer:

[tex] \sqrt{17} [/tex]

What quadrant does this lie in: cot(theta)>0 and sin(theta)>0?

Answers

Answer:

lies on IV quadrant

Step-by-step explanation:

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