x^(2)+16x+28=0 complete the square

Answers

Answer 1

Answer:

(x + 8)² = 36

Step-by-step explanation:

When you are trying to complete the square and the equation already has a constant, you add or subtract that value to the other side of the equation so you can cancel it out.

x² + 16x + 28 = 0

x² + 16x + 28 - 28 = 0 -28

x² + 16x = -28

Now, you find ([tex]\frac{b}{2}[/tex])² (divide b by 2 and raise the quotient to the second power). Half of 16 is 8, and 8² is 64. Add 64 to both sides.

x² + 16x + 64 = -28 + 64

x² + 16x + 64 = 36

Now, you just factor the equation on the left. To factor it, you will always use the number you got to make the constant, which in this case is 8.

(x + 8)² = 36


Related Questions

I will give you the brainiest!!!!! Which graph shows the parallelogram after the rotation and translation? brainiest

Answers

Answer:

Answer O(A)

Step-by-step explanation:

It is rotated counter-clockwise, so it cant be C or D, and if it was reflected it would be B, so it is A.

Hope this helps plz mark brainliest :D

Which expression is equivalent to 1/4 (4+9)? plssss help me I only have 20 minutes

Answers

Answer:

it is 3.2.5

Step-by-step explanation:

yw

Kelsey is a stock broker. She earns 11% commission each week.Last week she sold $7200 worth of stocks. How much did she make last week in commission? if she averages the same amount each week how much did she make in commission in 2011?

Answers

Answer:

$792 last week's commission.

$41,184 for 2011

Step-by-step explanation:

11% of 7200 is = $792

$792 times 52 weeks in a year is $41,184

Question is: Solve -7(x+6)=4(x+6)

Answers

[tex]\huge\boxed{x=-6}[/tex]

Hey there! Our goal here is to isolate the variable on one side of the equation.

[tex]\begin{aligned}-7(x+6)&=4(x+6)&&\smash{\Big|}&&\textsf{Start with the original equation.}\\-7x+(-7)(6)&=4x+4(6)&&\smash{\Big|}&&\textsf{Distribute.}\\-7x-42&=4x+24&&\smash{\Big|}&&\textsf{Multiply.}\\-7x-4x&=24+42&&\smash{\Big|}&&\textsf{Move the terms.}\\-11x&=66&&\smash{\Big|}&&\textsf{Combine like terms.}\\x&=\boxed{-6}&&\smash{\Big|}&&\textsf{Divide both sides by $-11$.}\end{aligned}[/tex]

Answer: The answer is x=–6.

Step-by-step explanation: Step 1: Simplify both sides of the equation:

[tex](-7)(x)+(-7)(6)=(4)(x)+(4 )(6)[/tex] (Distributive Property)

[tex]-7x+-42=4x+24[/tex]

[tex]-7x-42=4x+24[/tex]

Step 2: Subtract 4x by the both sides: [tex]-7x-42-4x=4x+24-4x[/tex]

[tex]-11x-42=24[/tex]

Step 3: Add 42 to the both sides: [tex]-11x-42+42=24+42[/tex]

[tex]-11x=66[/tex]

And step 4: Divide both sides by -11: [tex]\frac{-11x}{-11}=\frac{66}{-11}[/tex], [tex]x=-6[/tex].

I hoped this formula step-by-step is very helpful, please mark me as brainliest, and have a happy holidays! :D

How many quaters are in 4 and 3 over 4

Answers

Answer:

19

Step-by-step explanation:

If you're asking how many quarters in 4 3/4

In 1 there are 4 quarters so do 4 multiplied by the 4 quarters which is 16. In 3/4 we have 3 quarters so 16 add the 3 is 19.

3. Give the domain and range of the relation. Tell whether the relation is a function, 1 1 3 1 6 8. D: {0,1}: R: 1-5, -1,3,6} The relation is a function. b. D: {0,1); R: -5, -1,3,6) The relation is not a function. D: -5,-1,3,6); R: (0,1} The relation is not a function. d. D:{-5, -1,3,6); R: (0,1} The relation is a function.​

Answers

Answer:

D

Step-by-step explanation:

About how many male math teachers will there be in 2016?
A. 32
B.52


Answers

Answer:

From the answers you provided the best answer is B.52

Step-by-step explanation:

It starts past 32 so there's no way it can ever be that value as the graph is continuously increasing.

Answer:

is it 32?

Step-by-step explanation:

sorry if im wrong

hope this helps

Round theese decimals to whole numbers pls 15.5 56.04 12.75

Answers

Answer:

16

56

13

CAN YOU GUYS PLEASE HELP ME WITH MY RECENT QUESTION PLEASEEEEEEEEEEEEEEEEEEEEEEEE!! IT WAS DUE 30 MINS AGOO

Reuben drove 845 miles in 13 hours. At the same rate, how many miles would he drive in 11 hours? miles

Answers

Answer:

715 miles in 11 hours

Step-by-step explanation:

845 ÷13 = 65

this means that in 1 hours Reuben drives 65 miles.

65x11= 715.

help me with calculus ​

Answers

Answer:

(2, -3)

General Formulas and Concepts:

Algebra I

Reading a coordinate planeCoordinates (x, y)Solving systems of equations by graphing

Step-by-step explanation:

Where the 2 lines intersect is the solution to the system of equations.

Which expression(s) represent negative products? Check all that apply. 7.71(–0.02) 3.4(0.5) 0.23(–1.1) –2.5(–9.2) –5.09(8.1)

Answers

Answer: 1 3 5

Step-by-step explanation:

Answer:

7.71(–0.02), 0.23(–1.1), –5.09(8.1)

Find the distance between the two points:) (4, -1) and K (0, 1)

Answers

Answer:

(4,2)

Step-by-step explanation:  count down form 4 then -1

Given: AB ∩ CD ∩ GF = O, E ∈ interior of ∠GOB, H ∈ interior of ∠AOF. Without changing the picture indicate: Vertical angle to ∠GOB: ____________

Answers

Answer:

The verticle angle to GOB is AOF.

Step-by-step explanation:

Look at the picture, it's pretty clear

The endpoints of a segment are (0, -5) and (-3,-7). What are the endpoints of the segment after it has been translated 5
units to the right?
A. (-5,-5), (-8, -7)
B. (0,0).(-3,-2)
C. (5,-5), (2, -7)
D. (5.0), (2,-2)

Answers

Answer:

C

Step-by-step explanation:

Only the x values are affected.

So you add 5 to each of the x values.

0+5 = 5

-3+5 = 2

The points then become (5, - 5) and (2,-7)

The answer is C

2.
Turkey for sandwiches costs $7.75 per pound. What equation best represents
y, the total cost of x pounds of turkey?
a. X = 7.75 + y
b. X = 7.75y
C. Y = 7.75 + x
d. Y = 7.75x

Answers

Answer:
d
Explanation:
Y=7.75x
1pound-$7.75x1
Xpound-$7.75xX

Please HURRY I need to get this turned in.....
7. Of the three explanations below, which person gives the best explanation of why the LSRL is the best line of best fit?
Explain your choice.
Thomas: The LSRL is the best line of
best fit because it touches the most
points on a scatterplot when graphed.

Keene: The LSRL is the best line of best fit
because it has the smallest value for all the
squared residuals added together.

Ella: The LSRL is the best line of best fit because the sum of the residuals is closest to zero when they are all
added together.

Answers

Answer:

Ella

Step-by-step explanation:

IT goes more into detail on why the LSRL is best line of fit

1 options:

y = 3x - 1

y = -3x

y = 3x + 1

y = 3x
2 options:
y = 3/2x

y = -3/2x + 1

y = -3/2x

y = -2/3x
3 options:
y = -4x

y = 4x

y = -4x -2

y = -2x

Answers

Answer:

-3x is the answer I'm pretty sure I think

Answer:

Graph 1. y = 3x + 0 or y = 3x

Graph 2.  y = 3/-2x + 0 or y = 3/-2x

Graph 3.  y = -4x

She poured the juice into quart containers. How many containers could she fill? ​

Answers

Answer:

2 containers

Step-by-step explanation:

Write the quotient of this division problem as a remainder and as a fraction. PLEASE ANSWER ASAP

Answers

Answer:

i also need this awnser asap

Step-by-step explanation:

Combine and simplify the following radical expression. 3^ square root 6 x 3^ square root 4​

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] {3}^{ \sqrt{6} } \times {3}^{ \sqrt{4} } = [/tex]

[tex] {3}^{ \sqrt{6} } \times {3}^{2} = [/tex]

[tex] {3}^{ \sqrt{6} + 2 } = {3}^{2 + \sqrt{6} } [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

576+367 having trouble

Answers

Answer:943

Step-by-step explanation:ask Siri or just add those numbers

Saiful deposits a sum of RM 5000 in a bank with interest rate of 4% per annum. What is the interest
earned by Saiful after 3 months ?​

Answers

Answer:

Saiful has earned RM 50 after 3 months.

Step-by-step explanation:

We are given the following:

x = 5000

y = 4% per 12 months (annually)

[Convert 4%/1 yr to three months]

Because 1 year = 12 months = 4% then:

3 months is 25% of 12 months, so find 25% of 4%.

25% of 4% is 1%

y = 1%

[Multiply x by y]

x * y = 5000*1% = 5050

[Subtract 5050 by the original, 5000]

5050 - 5000 = 50

Saiful has earned RM 50 after 3 months.

Find the slope and y-intercept of the line whose equation is given.
y= - 7x-9
Determine the slope. Select the correct choice below and fill in any answer boxe
A. m=
(Type an integer or a fraction.)
OB. The slope is undefined.

Answers

Answer:

Slope = -7

y-intercept = -9

Step-by-step explanation:

The slope formula is y = mx + b where m is the slope value and b is the y-intercept value. In this case, since both values have a negative sign in front of them, they are both negative.

y = mx + b

y = -7x - 9

m = -7 which is the slope

b = -9 which is the y -intercept

−12(−5y + 4)=2 + 12y Another question I am also stuck on please help!

Answers

Answer:

y=25/24

Step-by-step explanation:

if you need a simplified answer, divide 25 by 24 :)

please help fast!!!
Select the correct functions.
Identify all of the functions that have a greater y-intercept than that of the function represented in the graph.

Answers

Answer:

y = -x + 7, intercept is 7y = -4x + 3, intercept is 3

Explanation:

The y-intercept is the y when the line crosses y axisThe intercept of our line is 2To find the y intercept in an equation, make the x = 0 and solve eg [tex]y=-x+7\\y=-(0)+7\\y=7[/tex]

Answer:

Top left. middle right. I'm on the question right now.

Step-by-step explanation:

multiply 532 and 734 using natural logarithms

Answers

I think the sander is 102 because Blake’s

A shark was swimming 33ft below the surface of the water. It swam up 18ft to feed
on some fish, then dove down 5ft. Where is the shark now?

Answers

The shark is now at 20 feet
Since the top of the water is zero we need to subtract when it swims up and add on the way down do:

33 -18 = 15
15 + 5 = 20

Answer: 20ft

In a class of 40 students, 75% returned their permission slips for the field trip. How many students returned their permission slips?

Answers

Answer:

30

Step-by-step explanation:

75% can also be written as 3/4. 3/4 can also be written as 30/40, or 30 out of 40, which in this case, means 30 out of 40 kids.

Answer:

30 Students Returned their Permission Slips

Step-by-step explanation:

In a class of 40 students, 75% returned their permission slips for the field trip. How many students returned their permission slips?

75% of 40 is 30, therefore 30 students returned their permission slips. 75% is equivalent to 3/4,  or 30/40.

Please let me know if you need anymore help

Good luck! :3

Does the set of ordered pairs
represent a function ? Explain.
(7, 8), (9, 10), (0, 1), (-2, -1),
(9,8)

Answers

Answer:no

Step-by-step explanation:

Because there’s two number 9’s for the x values

Answer:

no because x = 9 has two y coordintates, and in a function every x value can only have one y value.

Step-by-step explanation:

Help me pls I’m failing math I need a good grade on this

Answers

i believe as a decimal it is 2.4 :)

Answer:

2  2 /5 =  2.4  =  240 %

Step-by-step explanation:

The number 1 is the same as 1.00 and is the same as 100%.

The number 2, therefore, is the same as 2.00 and the same as 200%

2 /5  can be converted into a decimal by seeing that  2 /5 = 4 /10 .  4 /10 , spoken out loud, is "four tenths" and shows that the decimal is  

0.4 . And  0.4  is the same as 40%.  Which means that  2  2 /5 = 2.4= 240 %

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