Write the quadratic function f(x) = x2 + 8x + 3 in vertex form.​

Answers

Answer 1
f(x)=(x+4)2−13 i think this is the simplified of the perfect trinomial

Related Questions

What is the solution for x in the equation?
-x + 3/7 = 2x - 25/7
A. x = -3/4
B. x = -4/3
C. x = 4/3
D. x = 3/4

Answers

Answer:

C. x=4/3

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

I got it right on the test

Find a formula for the function f(x) such that f′(x)=sin(x) and f(2)=5.

Answers

Answer: f(x) = -cos(x) + 4.584

Step-by-step explanation:

we know that f'(x) = sin(x)

if we integrate that, we get:

f(x) = -cos(x) + C

Where C is a constant of integration.

And we also want that:

f(2) = 5

with that relationship we can find the value of C.

f(2) = 5 =  -cos(2) + C

(The calculation is done in radians)

        5 = -(-0.416) + C

       5 - 0.416 = C = 4.584

Then the function is:

f(x) = -cos(x) + 4.584

a circle has a circumference of 54π cm what is the radius?

Answers

Answer:

circumfrence = 108

Step-by-step explanation:

Radius = half the circumfrence

radius * 2 = circum.

54*2 = 108

108 = circum

What is the y intercept of the line 2x + 3y = -15?

Answers

Answer:

y intercept: (0,-5)

Step-by-step explanation:

How do cells maintain homeostasis? Describe one way a cell will maintain stable internal conditions.

Answers

Answer:

One way that a cell maintains homeostasis is by controlling the movement of substances across the cell membrane. Cells are suspended in a fluid environment.

Emily's car broke down the weekend before she started a new job. She borrowed $880 from her parents, at an annual interest rate of 3%, to quickly pay for the car repairs. If Emily paid her parents a total of $893.20 in six months, how much simple interest did she pay?

Answers

Answer:

$13.2

Step-by-step explanation:

Step one:

given data

principal=$880

rate= 3%

final amount = $893.2

time t= 6 months =0.5 years

Step two:

Required

Simple interest

SI=PRT/100

SI=880*3*0.5/100

SI=1320/100

SI=13.2

She paid Simple interest of $13.2

Which relation is a function?

Question 1 options:

{(3,2), (5,8), (3,−4)}

{(−1,6), (−2,7), (−3,6)}

{(5,7), (12,−3), (5,6), (12,7)}

{(3,5),(3,6)}

Answers

The second one.
Since the others all have 2 same domains with different ranges.
The second one because the x values are different.

24=−3(2a−14)−3a
what is A?

Answers

Answer:

a = 2

Step-by-step explanation:

Hope this helps and have a nice day :)

Answer:

a=3

Step-by-step explanation:

24=3(2a-14)-3a

distribute

24=6a-42-3a

subtract 3a from 6a

24=3a-42

add 42 to both sides

66=3a

divide 3

3=a

a=3

hope this helps :)

PLEASE HELP im to stupid

Answers

Answer:

line BC, 4 units right, and down 1 unit!

Hope This Helps!

Answer:

1. BC

2. 4

3. 1

Step-by-step explanation:

Finish the proof plz.

Answers

9514 1404 393

Explanation:

Here are the reasons:

GivenDefinition of a rectangleDefinition of a rectangleLL theorem for congruence of right trianglesCPCTC (corresponding parts of congruent triangles are congruent)

can you simplify this?
[tex] \frac{a {}^{3} }{2} [/tex]

Answers

It stays the same, you can’t simply it.

Write an exponential function in the form y=ab* that goes through points (0.7) and (2.63)

Answers

Answer:

6.73

Step-by-step explanation:

$22 haircut; 20% tip
help..

Answers

Answer:

20% tip = $4.40; total = $26.4

Step-by-step explanation:

20 % = 0.20 ------> 22 * 0.20 = 20% of 22

20% of $22.00 = $4.40

total = $22.00 + $4.40

total = $26.40

6.Zena needs a salesperson. Sales person anyway is offering his services for an initial $50 in addition to $5 per hour. Sales person B is offering her services for $15 per hour. How many hours will two sales people charge the same amount of money?

Answers

Answer:

5 hours (when salespersons A and B will both charge $75)

how many times does 67 117

Answers

7839 i think that’s right
67 can only go into 117 once

solve the equation 2(x+2x)=36

Answers

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Equation

2(x + 2x) = 36

Step 2: Solve for x

Combine like terms:                    2(3x) = 36Divide both sides by 2:               3x = 18Divide both sides by 3:               x = 6

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                   2(6 + 2(6)) = 36Multiply:                              2(6 + 12) = 36Add:                                    2(18) = 36Multiply:                              36 = 36

Here we see that 36 does indeed equal 36.

∴ x = 6 is the solution to the equation.

Answer :

2(x+2x)=36

2x + 4x =36

6x =36 is the answer

Hope it helped

$5,000 is invested in two different accounts yielding 2% and 2.5% interest. The interest earned on the two accounts is $120. How much money was invested at 2% interest?

$1,000
$3,000
$4,000
$5,000

Answers

Answer:

1000

Step-by-step explanation:

Item 19 A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? The store donates basketballs. Item 19 A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? The store donates basketballs.

Answers

Answer:

28 soccer balls.

Step-by-step explanation:

Let there are 7x basketball and 6x soccer balls.

A sports store donates basketballs and soccer balls to the boys and girls club.

The store donates 24 soccer balls.

It means,

6x = 24

x = 4

No of basketballs = 7x

= 7(4)

= 28

Hence, the store denote 28 soccer balls.

6. Triangle CDE with vertices C(-2,-2), D(1,-4), and E(-3,-4):
a) dilation with scale factor of 4 centered (-1.-3)
b) reflection in the line y = -x

Answers

The coordinates of C'D'E' after dilation with the scale factor are; C'(3, 1), D'(-9, -7), E'(7, -7)

How to work with transformation of objects?

We are given the vertices of Triangle CDE as;

C(-2,-2), D(1,-4), and E(-3,-4).

Now when we dilate an object by a scale factor of 4, it means we multiply each coordinate by 4 if it is about the origin.

However, we are told that it is centered about the point (-1.-3).

Thus;

Point C is 1 unit vertically above point (-1.-3) and as such C' will be (1 * 4) = 4 units above the center point.

Point C is 1 unit horizontally to the right of point (-1.-3) and as such C' will be (1 * 4) = 4 units to the right of the center point. Thus, C' is (3, 1)

Point D is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.

Point D is 2 unit horizontally to the left of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (-9, -7)

Point E is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.

Point D is 2 unit horizontally to the right of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (7, -7)

B) Reflection in the line y = -x gives;

C'(2, -2), D(-1, 4), and E(3, 4)

Read more about Objects Transformation at; https://brainly.com/question/3457976

#SPJ1

Which graph represents the equation y = 3/4 x - 3

Answers

Answer:

Step-by-step explanation: you forgot to attach the file but it should look like this i think

Answer:

slope is 3/4

y-intercept is (0,-3)  Thats where you put your first point on the y-inter on -3

x    y

0   -3

4     0

Put your second point at 4 (on the x)

then your slope is rise /run 3/4

then you should get your line on your graph

Step-by-step explanation:

Plz help i will mark branliest


Writing Equations From Two Points & Point-Slope Form

Answers

Answer:

problem #2:

y - 4 = 2 ( x + 1) , y - 1 = -1/3x ( x - 2)

problem #3:

slope: 2/3  point: -2, 4

slope: -3  point: -5, -1

Step-by-step explanation:

good luck!

Can you help meh pls:)

Answers

Answer:

The answer is Charlie.

Step-by-step explanation:

Devin has 48 gingerbread cookies and 60 candy canes that he will put in gift bags for his friends and family. What is the greatest number of gift bags he can make if each bag will have the same number of cookies and the same number of candy canes? Also, identify the number of cookies and candy canes each bag will have.

Answers

Answer:

12 is the largest one number of gift bags he can make. Each will have 4 gingerbread cookies and 5 candy canes

Step-by-step explanation:

y = -2x+3 write in standard form

Answers

Answer:

y + 2x - 3 = 0

Step-by-step explanation:

You should learn the topic.

Answer:

2x+y-3=0

Step-by-step explanation:

The standard form is a representation of equations that start from the variable term towards the constant term, generally leaving the RHS empty.

Here,

[tex]y=-2x+3\\y+2x=3\\y+2x-3=0\\2x+y-3=0[/tex]

A map of Long Island has the scale 2.75 cm= 16km. On the map, target Rock is 23.2 cm from Lake Montauk. Find the distance from Target Rock to Lake Montauk. PLEASE HELP ASAP

Answers

Answer:

ytjyhyjhuyjhytujhyuhjnfh

Step-by-step explanation:

What is the distance from QR?
Q
6n + 3
s
4n + 11
R

Answers

Answer:

The distance of QR is 54 units

Step-by-step explanation:

In the isosceles triangle, The height drawn from the vertex angle to the base bisects the base

In ΔPQR

PQ = PR

∴ Δ PQR is an isosceles triangle

∵ P is the vertex angle

∵ QR is the base

PS ⊥ QR

→ By using the fact above

∴ PS bisects QR

S is the midpoint of QR

→ That means S divided QR into 2 equal parts QS and SR

∵ QS = SR

∵ QS = 6n + 3

∵ SR = 4n + 11

→ Equate them to find n

6n + 3 = 4n + 11

→ Subtract 4 n from both sides

∵ 6n - 4n + 3 = 4n - 4n + 11

∴ 2n + 3 = 11

→ Subtract 3 from both sides

∵ 2n + 3 - 3 = 11 - 3

∴ 2n = 8

→ Divide both sides by 2

n = 4

→ Find the length of QS by substitute x in its expression by 4

∵ QS = 6(4) + 3 = 24 + 3

QS = 27

∵ QS = SR

SR = 27

∵ QR = QS + SR

∴ QR = 27 + 27

QR = 54 units

The distance of QR is 54 units

write two numbers that multiply to the value on top and add to the value on the bottom.

Answers

Answer:

1 and 19

Step-by-step explanation:

I believe this is a factoring problem.

Example:

If we have the equation x^2-2x-3

We can find two numbers that multiply to -3 that add to -2

The two numbers are -3 and 1

(x-3)(x+1)= So x=3 and x=1

Answer:

1 and 19

Explanation:

1x19=19

1+19=20

When a system of linear equations is graphed, how is the graph of each equation related to the solutions of that equation?​

Answers

Answer:

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Step-by-step explanation:

Solve the puzzle. M + M + M = 30. M + N + N =20. N + Q + Q = 9. N + Q × M = ?Solve for M.
A. 8
B. 9
C. 10

Answers

Answer:

M=10

N=5

Q=2

Step-by-step explanation:

if you look at the equation it says

M+M+M=30

Since there's 3 M's you can combine it and make it into 3M=30.

you could then divide 30 by 3 in order to get M by itself and you would get M=10.

Hope this helped :)

In the supermarket, there were 434 boxes of cereal, 285 gallons of milk, and 176 cans of orange juice. About how many
breakfast items were there? Use rounding to the nearest hundred to estimate the total number of breakfast items.

Answers

Answer:

900

Step-by-step explanation:

434+285+176 is 895,895 to the nearest hundred is 900

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