2.
Fit a quadratic function to these three points:

(−2, 8), (0, −4), and (4, 68)

A. y = −2x2 − 2x − 4

B. y = 4x2 + 2x − 4

C. y = −4x2 − 2x − 4

D. y = −2x2 + 2x − 4

Answers

Answer 1

Answer:

It's C.

Step-by-step explanation:

Answer 2

Answer:

B

Step-by-step explanation:

just put the x and y values into the equations and see which equation stays true.

for example, point (4, 68) rules out A and C even without detailed calculation, because these 2 expressions can produce for positive x only negative y (and 68 is clearly a positive y).

so, when using this point in B :

68 = 4×4² + 2×4 - 4 = 4×16 + 8 - 4 = 64 + 8 - 4 = 68

correct.

and it is correct also for the other points.

so, B is the right answer.


Related Questions

If an amount of $25,000 is deposited into a saving account at an interest rate 4%, compounded semi-annually, how long will it take to accumulate on this account $28,500? The function describing your balance is M(n) =25,000(1+0.04/2)^2n, where n is time in years. 20 points and WILL GIVE BRAINLIEST!

Answers

It will take 3.3 years to accumulate $28,500  on this account

According to the compound amount formula expressed as:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P is the principal = $25,000

A is the amount = $28,500

r is the rate in decimal = 4% = 0.04

n = 2 (semi annualy)

Substitute the given parameters into the formula as shown:

[tex]28,500=25,000(1+\frac{0.04}{2} )^{2t}\\1.14=(1+0.02)^{2t}\\1.14 = (1.02)^{2t}\\ln1.14 = 2tln1.02\\2t=\frac{ln1.14}{ln1.02}\\2t= \frac{0.13103}{0.01980}\\2t= 6.6177\\t = 3.30yrs[/tex]

Hence it will take 3.3 years to accumulate $28,500  on this account

learn more on compound interest here: https://brainly.com/question/18456266

HELP PLEASE!!
Use the drop-downs to complete the sentences about this arithmetic sequence.
32, 41, 50, ...
The common difference is ___.
The fourth term is ______
The fifth term is ______

Answers

Answer:9,59,68

Step-by-step explanation:

Just got it right

Susie has read 52 pages of an 80- page book. What is the percentage of the pages that susie has not read?

Answers

Answer:

35%

Step-by-step explanation:

52/80=0.65

0.65x100=65

65% is the percent that she has read.

100%-65%= 35%

She has not read 35% of the pages.

Answer:

She hasn't read 35% of the book

Step-by-step explanation:

1st way: Since 80 pages represent 100%

52 pages represent 100 * 52 / 80 = 65% pages read

100 - 65 = 35 pages page not read.

2nd way: 80 - 52 = 28 pages not read

28 pages represent 100 * 28 / 80 = 35% pages not read

A washer and dryer cost 809. The washer is 59 dollars more than the dryer how much does the dryer cost

Answers

Answer:

The dryer cost $350.

Step-by-step explanation:

Answer:

$375

Step-by-step explanation:

809 - 59 = 750

750 / 2 = 375

Multiply.

(−3 6/7)⋅(−3 1/3)

What is the product?

Enter your answer as a simplified mixed number in the box.

Answers

9514 1404 393

Answer:

  12 6/7

Step-by-step explanation:

The product of two negative numbers is positive, so we can ignore the signs.

  (3 6/7)(3 1/3) = (3)(3) +(3)(1/3) +(6/7)(3) +(6/7)(1/3)

  = 9 + 1 + 18/7 + 2/7

  = 10 + 2 4/7 + 2/7

  = 12 6/7

Mayor distributed 300 sacks of rice. A sack of rice weighs 50 kg. how many grams of rice did the mayor distribute?​

Answers

Answer:

15,000,000 grams

Step-by-step explanation:

300 * 50 = 15,000kg

kg to grams is *1000

15,000 * 1000 = 15,000,000

Answer:

15,000,000.

Step-by-step explanation:

SIMPLIFIED POLYNOMIALS. Combine all the similar terms of each polynomial
1. 4x + 2x - 3x
2. 10xy + 4y - 8xy + 9y
3. 6x2 + y - 8x2 + 2 + 3y
4. 14a3 - a2 + 3a2 - 16a3 + a2
5. -5pq2 + 3pq2 - p2q + pq2 - 7p2q

Answers

Answer:

1. 3x

2. 2xy+13y

3. -2x^2+4y+2

4. -2a^3+3a^2

5. -2pq^2-7p^2q

How many arrangements can be made for the letters in the word TROTTING? In how many of these are N and G next to each other. ​

Answers

Answer:

6720.

1680.

Step-by-step explanation:

There are 3 T's and 5 other distinct letters in this word s

The number of arrangements

= 8! / 3!

= 8*7*6*5*4

= 6720 ways.

If N and G are next to each other  we consider it to be 1 letter. Now we can have GN or NG so the answer is

(7!/3!) * 2

= 1680 ways.

4 and 3x - 2 are both---------------- of 12x-8?


Thank you

Answers

The answer is: Factors.

Jill had some candy to give to her five
children. She first took seven pieces for
herself and then evenly divided the rest
among her children. Each child received
five pieces. With how many pieces did
she start?

Answers

She started with 32 pieces.

Explanation: If she had 5 children and each child received 5 pieces, you can determine that she gave her children a total of 25 pieces because 5 x 5 = 25. If she took 7 pieces for herself before giving the rest away, you can determine that she had 32 pieces of candy to start with because 25 + 7 = 32.


How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor?

A. 2 x (7.5 + 15)

B. 3 x (5 + 10)

C. 5 x (3 + 6)

D. 15 x (1 + 2)

Answers

Answer:

13 24 56 23 56 78 166 Yan Lang po thank

What equation represents this sentence? 5 less than a number is 12. n−5=12 5=12−n 5=n−12 5−n=12

Answers

Answer:

n-5=12

This is the answer

The algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12" and the solution of the equation is the value of variable n is 17.

What is Algebra?

Algebra is the estimation of mathematical representations, while logic is the manipulation of those symbols.

The given statement is "5 less than a number is 12"

According to the given question, translate the phrase into an algebraic form :

⇒ n - 5 = 12

Thus, the algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12"

Now the above equation solves for variable n,

⇒ n - 5 = 12

Add 5 to both sides of the above equation,

⇒ n = 12 + 5

⇒ n = 17

Therefore, the algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12" and the solution of the equation is the value of variable n is 17.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

For each value of v, determine whether it is a solution to 59 = 3 - 7v.​

Answers

Answer:

[tex]59=3-7v[/tex]

Subtract 3 from both sides:

[tex]59-3=3-7v-3[/tex]

[tex]56=-7v[/tex]

[tex]-7v=56[/tex]

[tex]v=-8[/tex]

-8 is the only solution.

Answer:

well I think it's -6

Step-by-step explanation:

7×-6=-42+3=39

WHAT DOES EXPONENT C MEAN LETS SAY A NUMBER IS IN PARANTHESIS AND WITHIN THAT PARENTHESIS THERES A C AS AN EXPONENT WHAT DOES THAT MEAN

Answers

Answer:

It means that the number is raised to the power of c. For example, if it is (2^3), the answer would be 8.

Step-by-step explanation:

Give the two missing numbers in the following sequences.8,9,11,14,?,23,?​

Answers

Answer:

18 and 29

Step-by-step explanation:

8+0=8

8+1=9

9+2=11

11+3=14

14+4=18

18+5=23

23+6=29

As you can see, the number that you add to the previous number in the sequence is increased by 1 as the sequence grows in length. The number added goes from 0 to 1 to 2 to 3 and so on. :-)

Convert 244 16 to decimal:

Answers

Answer:

15.25 is your answer

Step-by-step explanation:

Answer:

I know it’s already been answered but I got 15.25

Step-by-step explanation:

According to Belgium's 2018 Labor data: Number of employed= 1300, Number of unemployed = 300, Adult population =3,000. The unemployment rate of Belgium in 2018 was
a.10%
b.13%
c.18.75%
d.63.3%.

Answers

The answer is the letter C

Solve the system, or show that it has no solution.
10x + 4y = 14
15x + 6y = 21

Answers

Answer:

Step-by-step explanation:

(6)10x + 4y = 14(6)

4(15x + 6y) = 21(4)

60x + 24y = 84

60x + 24y = 84

It has infinite, as if this were to be graphed the lines would overlap.

100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!

Find the solution(s) of the system of equations.
y = –x2 + 2
y = x2 + 4x + 4
Question 16 options:

A)

(1, 1)

B)

(–1, 1) and (1, 1)

C)

(–1, 1) and (0, 2)

D)

(–1, 1)

Answers

Answer:

  D)  (–1, 1)

Step-by-step explanation:

The solutions can be found by equating the expressions for y, then solving for x. The y-value(s) can then be found using the solutions for x.

  y = y

  -x² +2 = x² +4x +4

  2x² +4x +2 = 0 . . . . . . . . . add x² -2

  2(x +1)² = 0 . . . . . . . . . factor

  x = -1 . . . . . . . . . . one solution that makes the factors zero

  y = -x² +2 = -(-1)² +2 = -1 +2 = 1

The only solution is (x, y) = (-1, 1).

The largest frog in the world is the goliath, It can grow to be 12 inches long. The smallest frog in the world is about 2.5% as log as the goliath. About how long is the smallest frog in the world

Answers

Answer:

0.3 inches

Step-by-step explanation:

2.5% = 0.025

The smallest frog is 12 * 0.025 inches, which is 0.3 inches.

Help me solve this problem, i already did it but i want to be sure it’s right

Answers

Answer:

Would be C

Step-by-step explanation:

Because they need slope intercept

Solve 3h+g=5h-hg for h

Answers

Answer: [tex]h=\frac{-g}{g-2}[/tex]

Step-by-step explanation:

Let's solve for h.

[tex]3h+g=5h-hg[/tex]

Step 1: Add [tex]gh[/tex] to both sides.

[tex]g+3h+gh=-gh+5h+gh[/tex]

[tex]gh+g+3h=5h[/tex]

Step 2: Add [tex]-5h[/tex] to both sides.

[tex]gh+g+3h+-5h=5h+-5h[/tex]

[tex]gh+g-2h=0[/tex]

Step 3: Add [tex]-g[/tex] to both sides.

[tex]gh+g-2h+-g=0+-g[/tex]

[tex]gh-2h=-g[/tex]

Step 4: Factor out the variable [tex]h[/tex].

[tex]h(g-2)=-g[/tex]

Step 5: Divide both sides by [tex]g-2[/tex].

[tex]\frac{h(g-2)}{g-2} =\frac{-g}{g-2}[/tex]

[tex]h=\frac{-g}{g-2}[/tex]

Answer:

[tex]h=\frac{-g}{g-2}[/tex]

B. DIRECTION: Read and analyze each problem. Give the best answer you can give in order to solve the problem



1. what is asked in the problem?____________________


2. What operation are you going to use to slove the problem?________


3. Show your solution___________________​

Answers

Answer:

1: How much longer did he run than walk.

2: Subtraction

3: 1/8 hour

Step-by-step explanation:

1: The last sentence says what is being asked.

2: We want to see how much longer something is so it is subtraction.

3: 3/4 = 6/8    7/8 - 6/8 = 1/8

Liam and Michael are going to play video games this afternoon. Together, they have 38 video games. If they decide to randomly choose two video games, what is the probability that the two they choose will consist of each of their favorite video games? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answers

Answer:

1 million

Step-by-step explanation:

1 +1 +2 with 36 video game

36(2)=82

A country in South America exported 62% of the 315,000 bags of coffee beans they produced in a given year. How many bags did they export? Can someone please help me without a link to go to.​

Answers

Answer:

195,300

Step-by-step explanation:

62 percent *315000 =

(62:100)*315000 =

(62*315000):100 =

19530000:100 = 195300

Now we have: 62 percent of 315000 = 195300

Question: What is 62 percent of 315000?

Percentage solution with steps:

Step 1: Our output value is 315000.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above,315000=100%.

Step 4: Similarly, x=62%.

Step 5: This results in a pair of simple equations:

315000=100%(1).

x=62%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

315000/x = 100/62%

Step 7: Again, the reciprocal of both sides gives

x/315000 = 62/100

x=195300

Therefore, 62% of 315000 is 195300

Help help help help help help help help

Answers

Answer:

7

Step-by-step explanation:

15-8 is 7

16-8 is 7

17-10 is 7

18-11 is 7

this fits the eqation.

hope this helps you

Help help help help help help help help help

Answers

Answer:

A'(-2,3) B'(-1,1) C'(-4,0)

Step-by-step explanation:

Translating just means adding whatever numbers to each coordinate. Point A translated from (3,0) to (-2,3) because 3-5 is -2 and 0+3 is 3.

Solve the equation for the indicated variable.

8x + y =5, for x

X= [?]

(Simplify your answer.Use integers or fractions for any numbers in the expression.)

Answers

The answer is -1/8y+5/8

Answer:

x = −1/8y + 5/8

Step-by-step explanation:

Step 1: Add -y to both sides.

8x = −y + 5

Step 2: Divide both sides by 8.

8x/8 = −y+5/8

x= −1/8y + 5/8

How long would it take to earn Php 8,000 on a principal of Php 20,000 at 5% simple interest rate?

Answers

The length of time it would take the given principal to become Php 8,000 is 8 years.

The formula that would be used to determine the length of time it would take Php 20000 to accumulate an interest of Php 8000 can be determined using this formula:

Time = Interest earned / (principal x interest rate)

8000 / (20,000 x 0.05)

= 8 years

To learn more about simple interest, please check: brainly.com/question/9352088?referrer=searchResults

_8+5 I need helpplz​

Answers

Answer:

8 plus five is 13..

Step-by-step explanation:

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