Find a quadratic function that includes the set of values below.
(0,7), (2,17), (3,16)
The equation of the parabola is

Answers

Answer 1

Answer:

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

Step-by-step explanation:

(0,3) (2,11)(3,6)

Using the form ax^2 + bx + c = y

From the first set we know that c = 3

Write an equation for the last two sets

x=2; y=11

a(2^2) + b(2) + 3 = 11

4a + 2b = 11 - 3

4a + 2b = 8

simplify divide by 2

2a + b = 4

and

x=3, y=6

9a + 3b + 3 = 6

9a + 3b = 6 - 3

9a + 3b = 3

simplify divide by 3

3a + b = 1

:

Use elimination to find a

3a + b = 1

2a + b = 4

--------------subtracting eliminate b

a = -3

Find b using the equation 2a + b = 4

2(-3) + b = 4

b = 4 + 6

b = 10

:

The equation: f(x) = -3x^2 + 10x + 3


Related Questions

447,077 is ____________________then 347,077.

Fill in the blank.​

Answers

447,077 is  greater than 347,077

447,077 greater than 347,077 by 100,000

447,077-347,077= 100,000

I can list more if you want! I hope I've helped!

You buy 1.86 pounds of ground beef 2,8

Answers

what is this question asking?
maybe try 3.87

Help solve please due tomorrow, thanks. 3x − 5 = 2x + 2

Answers

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

3x − 5 = 2x + 2

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \large \sf \: 3x - 5 = 2x + 2[/tex]

Subtract 2x from both sides.

[tex] \large \sf \: 3x-5-2x=2 [/tex]

Combine 3x and -2x to get x.

[tex] \large \sf \: x-5=2 [/tex]

Add 5 to both sides.

[tex] \large \sf \: x=2+5 [/tex]

Add 2 and 5 to get 7.

[tex] \large{ \boxed {\bf \: x=7 }}[/tex]

Consider the equation −8x−5y=−10
A line parallel to the above line would have a slope of
A line perpendicular to the above line would have a slope of

Please Help!!

Answers

Answer:

Explanation :

The slope of the line with the equation -8x - 5y= -10 is -8/5 so the line parallel to it will have a slope of -8/5 because parallel limes have the same slope.

The line perpendicular to it will have a slope of 5/8. This is because the slopes of perpendicular lines add up to -1.

Hope this help

Which expression has a negative value?
7-31-4/2)
(15-7)-(9:3)
0-517+(-14) ]- 30

Answers

Answer:

the answer is 7+3(-4)(2)

Algebra Please Help!!

Answers

Answer:

c = 5/9 (F-32)

F-32 = c ÷ (5/9)

F-32 = c × (9/5)

F-32= 9c/ 5

F= (9c/5) + 32

I hope I helped you^_^

(18 - 3)2 = ?
show your work
help me pls ty​

Answers

Answer: 30

Step-by-step explanation:

18 - 3 is in the parenthesis so you have to solve that first. it’s 15 so the equation would then become (15)2 which is equal to 15 times 2. 15 times 2 equals 30.

How do we show 425/1000 as a decimal?

Answers

Answer:

0.425

Step-by-step explanation:

bro this is like 1st grade math

your answer would be 0.425 :))

Which of the following correctly represents the movement on the number line for the calculation 21 - (- 15) + (- 30) ?

Answers

Answer:

It moves 6 to the right.

Step-by-step explanation:

21 -(-15) = 36

36+(-30)=6

Find the value of 9 - [4 2 - (3 + 2)].
8
6
-2

Answers

Answer:

-2

Step-by-step explanation:

9 - [4^2 - (3 + 2)]

PEMDAS says parentheses first

Working from inside out

9 - [4^2 - (5)]

9 - [16 - (5)]

9 - [11]

Subtract

-2

Step-by-step explanation:

hope it is visible and makes sense

:)

Determine if the following are functions of x.


(a) 5(y + 1)3 + x2 = 1

Answers

9514 1404 393

Answer:

  is a function

Step-by-step explanation:

The graph passes the vertical line test, so the relation is a function of x.

Hurry!
The simple meaning of a translation is?
O Slide
O Flip
O Turn
O Change in size

Answers

Answer:

to turn

Step-by-step explanation:

to translate in a simple definition is to turn something of a shape into another form of shape example for you to translate a language into another language in a sentence, you have to turn the letters of that language into the specific language that you want to translate

Help please due tomorrow

Answers

Scale factor is 4 for all.

Find the x-intercept of the line graphed by the equation x - 7y = 7. (0, 14) (7, 0) (14, 0) (0, 7)

Answers

x-7y=7
To find the x-intercept, substitute y=0
x-7×0=7
x-0=7
x=7
∴ the x-intercept of the line is (7,0)

The ratio of (blank) to the total is (blank)

Answers

Answer:

4:2 to the total is 6

Step-by-step explanation:

jus like that

What is the value of the expression?

3 * [(2 * 6 - 5) + (8 divided by 4)] - 1

A. 9
B. 11
C. 26
D. 32
Show Work!

Answers

[tex]3\cdot[(2\cdot6-5)+(8:4)]-1=\\\\=3\cdot[(12-5)+2]-1=3\cdot(7+2)-1=\\\\=3\cdot9-1=27-1=\boxed{26}[/tex]

Given: g(x) = -4x and h(x) = 4x +3
Find: g(h(x+1))

Answers

Answer:

-16x-28

Step-by-step explanation:

h(x+1)= 4(x+1)+3 = 4x+7

g(h(x+1))= -4[4x+7] = -16x-28

what is the solution of linear equation of cosx(e^2y-y)=e^y sin2x

Answers

This is college? Woah I'm not advanced. Middle school!

Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1​

Answers

Base case: if n = 1, then

1² - 1 = 0

which is even.

Induction hypothesis: assume the statement is true for n = k, namely that k ² - k is even. This means that k ² - k = 2m for some integer m.

Induction step: show that the assumption implies (k + 1)² - (k + 1) is also even. We have

(k + 1)² - (k + 1) = k ² + 2k + 1 - k - 1

… = (k ² - k) + 2k

… = 2m + 2k

… = 2 (m + k)

which is clearly even. QED

On Monday Ryan picked a third of a pound of strawberries. On Tuesday he
icked three-fourths of a pound of strawberries. What was the total weight of the
trawberries Ryan picked?

Answers

Answer:

[tex]17 \frac{1}{3} [/tex]

Step-by-step explanation:

1/3 pound = 5.333 ( 5 1/3 ) ounces

3/4 pound = 12 ( 12 ) ounces

Algebraic Expressions Use the Distributive Property to expand each expression 4(3x-9)​

Answers

Answer:

12x-36?

Step-by-step explanation:

well 4×3x and 9× 4 gives the answer

find the smallest n so that all all of the numbers are natural, 27+n, n/3 , square root of (n+16)​

Answers

Answer:

9

Step-by-step explanation:

We know it has to be a multiply of 3

27 + 3 = 30 nat number

3/3 = 1 nat number

sq root 19 not nat number

27 + 9 = 36 nat number

9/3 = 3 nat number

sq root 25 = 5 nat number

correct!

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Write an equation of the line below.

Answers

Answer:

y=x

Step-by-step explanation:

yep

that is the answer

Which of the following statements is false?
If a number is divisible by 8, it must be divisible by 4.
If a number is divisible by both 9 and 10, it is divisible by 90.
The sum of two consecutive odd numbers is always divisible by 4.
If a number is not divisible by both 3 and 4, it is divisible by 12.​

Answers

Answer:

The last one

Step-by-step explanation:

It doesn't make sense for that to be true

1 1/4 cups of flour per 1/8 cup of butter what is the unit rate

Answers

Answer:

10 cups of flour per cup of butter

Step-by-step explanation:

1.25 cups of flour per 1/8 cup of butter

1 ÷ 1/8 = 8

1.25 * 8 = 10

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Prove: [tex]\frac{a}{b}[/tex] = \frac{c}{d}[/tex], then[tex]\frac{a+b}{b} = \frac{c+d}{d}[/tex]. show work pls :)

Answers

Step-by-step explanation:

[tex]\dfrac{a}{b} = \dfrac{c}{d}[/tex]

Add 1 to both sides of the equation:

[tex]\dfrac{a}{b} + 1 = \dfrac{c}{d} + 1[/tex]

Note that

[tex]\dfrac{a}{b} + 1 = \dfrac{a + b}{b}[/tex]

Likewise,

[tex]\dfrac{c}{d} + 1 = \dfrac{c + d}{d}[/tex]

Therefore,

[tex]\dfrac{a + b}{b} = \dfrac{c + d}{d}[/tex]

Find the equation of the line perpendicular line displayed below that passes through the point (-3,2). Explain your process. Express your answer in point-slope form

Answers

9514 1404 393

Answer:

  y -2 = 1/4(x +3)

Step-by-step explanation:

Process: find the negative reciprocal of the slope of the line shown and put the appropriate values into the point-slope equation.

__

The slope of the given line can be found as the ratio of rise to run between the marked points.

  m = rise/run = -8/2 = -4 . . . . counting grid squares

The desired line has a slope that is the opposite reciprocal of this:

  m' = -1/m = -1/-4 = 1/4

The point-slope equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

Then the desired line with slope 1/4 through point (-3, 2) has equation ...

  y -2 = 1/4(x +3)

can you help me to solve this​

Answers

Answer:

<B = <C(angles in a isoceles traingle)

Answer:

angle B is equal to angle C because it's a isosceles triangle with two equal sides and two equal angles

Which expression is equivalent to the given expression? 2x^2-14 +24

Answers

Answer:

Equivalent expression is (x - 4)(x - 3)

Step-by-step explanation:

[tex] {2x}^{2} - 14x + 24[/tex]

find the factors:

[tex] = (x - 4)(x - 3)[/tex]

(2x-12)(x-2)

after multiplying you'll get the same

When 2 lines cross, 2 pairs of vertical angles are formed. What is the sum of all 4 angles?

A.
180°
B.
270°
C.
360°
D.
540°

Answers

Answer:

C. 360°

Step-by-step explanation:

Two pairs form a complete angle with a sum of 360°.

Other Questions
Which of the following examples has three beats in each measure?Pls help. Select the correct answer.What is the value of xin 2(5x) = 14? y = 3x 5 ???(11, 2)(2, 11)(2, 1)(1, 2) is x + 1 a factor of [tex]x^{4} +2x^{3} +2x^{2} -2x-3[/tex]? The codification of Mesopotamian law occurred during the reign ofSelect one:O a. HammurabiO b. DariusO c. NebuchadnezzarO d. Sargon! ruto is 12 years old.in three years time he will be of his father present age.how old was his father 12 years ago Examine the locations of the following nations. Which of these nations is least likely to guard the Gulf of Mexico? Cuba Mexico United States Canada Drivers must understand that the traffic laws 3.1 = k - 1.9 solve for k Explain the pathway of blood starting with leaving the left ventricle and ending withentering the left ventricle including the valves. Military defense is funded by:A. federal income tax dollars.B. state income tax dollars.C. local income tax dollars.D. FICA.SUBMIT 2.2 Why arethe properties ofwater important toorganisms? If a^2+b^2=13 and ab =6 find the value of (i)(2a+2b) (ii)(2a-2b) Build a function whose domain is all real numbers other than -4, and whose range is all real numbers other than 5. explain program and programming with two examples of eachHelp can someone explain this better? You are offered an hourly job making $11per hour. If you are scheduled to work 45hours per week. What would the weekly gross pay for this job be? What artifacts, first created by the Woodland peoples in the Georgia region,can still be seen today?O A. Effigy moundsO B. Large citiesC. Stone knivesD. Semi-permanent structures write each fraction number as a decimal 33/40 A 10 1/2-inch candle burns down in 7 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context.