Complete the square to re-write the quadratic function in vertex form:
y = x2+ 10x - 2

Answers

Answer 1

Answer:

            [tex]\bold{y=(x+5)^2-27}[/tex]

Step-by-step explanation:

                                      [tex]y = x^2+ 10x - 2\\\\y = x^2+ 2\cdot x\cdot5+5^2-5^2 - 2\\\\y=(x+5)^2-25-2\\\\y=(x+5)^2-27[/tex]


Related Questions

HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!
please..

Answers

Answer:

53 1/5

Step-by-step explanation:

Make 5 7/10 and 9 1/3 into a fraction which is 57/10 and 28/3

Then multiply the numerators together and the denominators which gives you 1596/30

Simplify by dividing it by 6 getting 266/5

Change to a mixed number 53 1/5

A submarine is 150 feet below sea level and then descends 850 feet before rising 35 feet and leveling out. At what depth is the submarine when it levels out?

Answers

It’s at a depth of 965ft

You would take 150 and add 850 which equals 1000 and then subtract 35 which gives u 965ft

What is the solution set of the equation below? 3|5 − x| + 2 = 29

Answers

Answer:

x=-4

x=14

Step-by-step explanation:

Absolute Value Equation entered :

     3|5-x|+2=29

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     3|-x+5|+2 = 29

Another term is moved / added to the right hand side.

     3|-x+5| = 27

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 3|-x+5|

For the Negative case we'll use -3(-x+5)

For the Positive case we'll use 3(-x+5)

STEP

3

:

Solve the Negative Case

     -3(-x+5) = 27

    Multiply

     3x-15 = 27

    Rearrange and Add up

     3x = 42

    Divide both sides by 3

     x = 14

STEP

4

:

Solve the Positive Case

     3(-x+5) = 27

    Multiply

     -3x+15 = 27

    Rearrange and Add up

     -3x = 12

    Divide both sides by 3

     -x = 4

    Multiply both sides by (-1)

     x = -4

    Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

x=14

x=-4

Solutions on the Number Line

 

Two solutions were found :

x=-4

x=14

Someone help me please❤️

Answers

(-2,-7), (-1,-4), (0,-1) (1,2)
Inputs : -2,-1,0,1
Outputs: -7,-4,-1,2

Answer:

inputs:            outputs:

-2                     -7

-1                      -4

0                      -1

1                        2

Step-by-step explanation:

Input=domain and x so, plug domains in for x in the equation to get each output.

input                equation              output

-2                     y=3(-2)-1                   -7

-1                      y=3(-1)-1                    -4

0                      y=3(0)-1                    -1

1                       y=3(1)-1                      2

A line passes through the point (8,-7) and has a slope of -1/3 write an equation in slope intercept form for this line

Answers

Answer:

y= -1/3x-13/3

Step-by-step explanation:

(Refer to picture)

Use the general point-slope formula and plug in y1 and x1, then simplify

(I hope my handwriting isn't too bad, is so, I'll clarify any numbers you can't read.)

Determine the slope of the line that passes through the points M(-3, 5) and N(1, 8). Represent the slope in decimal form.

Answers

Answer:

The slope of the line that passes through the points M(-3, 5) and N(1, 8) in decimal form is 0.75

Step-by-step explanation:

The given points are M(-3, 5) and N(1, 8)

The formula for finding the slope, m, given the coordinates of two points on the line is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where, (x₁, y₁) = (-3, 5), and (x₂, y₂) = (1, 8), we have;

[tex]Slope, \, m =\dfrac{8-5}{1-(-3)} = \dfrac{3}{4} = 0.75[/tex]

The slope, m = 0.75

The slope of the line that passes through the points M(-3, 5) and N(1, 8) in decimal form = 0.75.

please answer. i would rlly like it

Answers

Answer:

im pretty sure it isnt a function (not sure, i think)

Step-by-step explanation:

Answer:

i might be wrong but i think it's a relation that is not function

Step-by-step explanation:

sorry if im wrong....

‼️NEED HELP ASAP‼️
find f'(x) for f(x) = ln(x^4 + e^2x)

Answers

Answer:

We can do this with u substitution

[tex]f(x) = ln(x^4+e^2^x)\\u = x^4+e^2^x\\f(x) = ln(u)\\f'(x) = \frac{u'}{u} \\u' = 4x^3 + 2e^2^x \\f'(x) = \frac{4x^3 + 2e^2^x}{x^4+e^2^x}[/tex]

we can't simplify further


HELP PLEASE!!

Select the equation of the line parallel to y=-4x-6 the
equation and that passes through the point (1, 2).
O y=-4x+6
O y=4x-4
O y=-4x-4
O y = 4x+6

Answers

Answer:

[tex]y=-4x+6[/tex]

Step-by-step explanation:

If you are looking for a parallel line with just the equation then look for an equation with the same slope and different Y intercept. After you find that just check and see if it passes the coordinate.

[tex]2=-4(1)+6[/tex]

[tex]2=-4+6[/tex]

[tex]2=2[/tex]

If it works you have your answer!

The equation of the line parallel to y = -4x - 6 and passing through (1, 2) is

y = -4x + 6.

The slope of y = -4x - 6 is -4.

passing through the point (1, 2)

the new line is parallel to the original line, it will have the same slope (-4).

Use the point-slope form of a linear equation to write the equation of the new line. The point-slope form is y - y1 = m(x - x1), where m is the slope, and (x1, y1) is the given point.

substituting values,

y - 2 = -4(x - 1)

y - 2 = -4x + 4

y = -4x + 6

learn more about slope here

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is 10/2 an irrational number?

Answers

Answer:

yes it is because it is expressed in the form of a p/q

Step-by-step explanation:

If a number is expressed in the form of p/q then it is a rational number. Here p and q are integers, and q is not equal to 0. A rational number should have a numerator and denominator. Examples: 10/2, 30/3, 100/5.

so yes 10/2 is a rational number

oh and i mean yes its rational no its not irrational :)

No, it is not an irrational number.

Irrational numbers are those who cannot be turned into a fraction.

10/2 is a fraction. Therefore, it is a Rational number.

[tex]Edit:\;Also,\;if\;you\;were\;to\;make\;it\;a\;whole\;number\;then\;it\;would\;be\:5.[/tex] [tex]Which\;can\:be\;turned\;into\;5/1.[/tex]

To do so, divide the numerator (Top number) by the denominator (Bottom number).  

How many gallons of water are in a 2 gallon pitcher that is 3/4 full?

Answers

Answer:

1.5 gallons

Step-by-step explanation:

2 x 0.75

1.5 gallons

Brainliest appreciated!

Answer:

1.5 gallons

Step-by-step explanation:

1/4 of container would be 0.5 gallons, so 3/4 of the container is 1.5 gallons. Multiply 0.5 times 3.

Evaluate the expression for x=5, y=-3 and z=7
x + y + z

Answers

Answer:

5

Step-by-step explanation:

(Refer to image)

Replace the numbers with the variables and solve using order of operations

Answer:

9

Step-by-step explanation:

convert all the value for x,y,z

5+-3+7

5+-3= 2+7 = 9

I used to decreased the negative 3 to 5 because of the sign negative attached beside the 3. but why the answer becomes to be positive 2? because the positive number which is 5 is greater than the negative 3 in the given.

I hope it helped you.

Write the equation of a line with slope 2 and y-intercept −1.
Pls I need help with this quick

Answers

Answer:

[tex]y=2x-1[/tex]

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

The question provides both the slope m=2 and the y-intercept b=-1.

Thus, substituting:

[tex]\boxed{y=2x-1}[/tex]

Which of these three numbers is the largest?
4.187 or 4.2 or 4.099​

Answers

Answer:

4.2

Step-by-step explanation:

There are the most tenths in the number

Answer:

4.2

Step-by-step explanation:

Foot Locker is having a sale. Buy 1 pair of Nikes for 200.00 and you get a 20% discount off the second pair. If the sales tax is 4%, how much is the first pair of Nikes?

Answers

Answer:

208

Step-by-step explanation:

200*.04=8

200+8=208 (for the first pair)

Two pounds of raw materials are needed to produce one product. The desired ending balance of raw materials is 10% of the of the next month's production needs. (Refer to your answer in Activity Sheet 05). The beginning inventory of raw materials is 4,000 pounds and raw material cost per unit is P 0.50/per pound.

Answers

Answer:

Purchases= production + desired ending inventory - beginning inventory

Step-by-step explanation:

Giving the following information:

Two pounds of raw materials are needed to produce one product.

The desired ending balance of raw materials is 10% of the next month's production needs.

The beginning inventory of raw materials is 4,000 pounds.

The raw material cost per unit is $0.50 per pound.

To calculate the direct material purchase required for a given month, we need the production for each month. I will provide the formula and a small example to guide an answer.

To calculate the purchase required, we need to use the following formula:

Purchases= production + desired ending inventory - beginning inventory

For example:

Production:

January= 5,000 units

February= 4,500 units

Direct material purchases January:

Production= 5,000*2= 10,000

Desired ending inventory= (4,500*2)*0.1= 900

Beginning inventory= (4,000)

Total purchase in pounds= 6,900

Total direct material cost= 6,900*0.5= $3,450

my sister asked if you guys can solve this out for her. thanks

Answers

Answer:

Part 1: 10, Part 2: 6

Step-by-step explanation:

During the bake sale, Paayal and Parvathy sold 200 cookies. Paayal sold her cookies for 5 cents each, while Parvathy sold her cookies for 10 cents each. The total amount of money customers paid for cookies was $11.00. How many cookies did Paayal sell? How many cookies did Parvathy sell?

Answers

Answer:

Paayal sold 180 cookies and Parvathy sold 20 cookies.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=200 (1)

0.05x+0.10y=11 (2), where:

x is the amount of cookies that Paayal sold and y is the amount of cookies that Parvathy sold.

First, you can solve for x in (1):

x=200-y (3)

Now, you can replace (3) in (2):

0.05(200-y)+0.10y=11

10-0.05y+0.10y=11

0.05y=1

y=1/0.05

y=20

Finally, you can replace the value of y in (3) to find x:

x=200-y

x=200-20

x=180

According to this, the answer is that Paayal sold 180 cookies and Parvathy sold 20 cookies.

Can You Please Help? I swear I will mark brainliest

Answers

Answer:

The answer is 2 inches

Step-by-step explanation:

U just have to divid 20 by 10 and you get ur answer

HELP ME PLZZ I NEED HELP WITH THIS!!

Answers

Answer:

800-250=550

Step-by-step explanation:

I hope this helped! Please mark as brainliest if i was correct.

From 80 pencils to 152 pencils​

Answers

Answer:

72

Step-by-step explanation:

 152

-  80

  72

Bring down the 2. Then make the 5 a 15 from taking away from the 1 making that a zero. Then Subtract 8 from 15 that makes 7. So it is 72.

:) I Hope you enjoy:)

6 inches for every horizontal change of 12 inches

Answers

skjsjskskskkskskskksskksksksksksks

Solve the following equation for p. What POSITIVE value of p? 10 - 43 - |7p + 12|

Answers

Answer:

Subtract

43

from

10

.

33

|

7

p

+

12

|

Step-by-step explanation:

The positive value of p from the equation is; p = 3

This is about absolute values.

We are given the equation;

10 = 43 - |7p + 12|

Let us simplify by subtracting 43 from both sides to leave the right hand side as an absolute value form.

10 - 43 = - |7p + 12|

-33 = - |7p + 12|

divide both sides by -1 to get;

33 = |7p + 12|

Is the following relation a function?

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Plz help. And plz show work.

Answers

SU= 10
x-7+6=2x-12
x-1=2x-12
x+11=2x
11=x
2(11)-12=10

Order each group of numbers from least to greatest. 1. 4, π, 8 2. 5, 173, π+ 2 ________________________________________ ________________________________________ 3. 2, 1.7, −2 4. 2.5, 5, 32 ________________________________________ ________________________________________ 5. 3.7, 13, π+ 1 6. 54, π− 2, 52 ________________________________________ ________________________________________

Answers

Answer:

1. π, 4, 8

2. 5, π + 2, 173

3. -2, 1.7, 2

4. 2.5, 5, 32

5. 3.7, π + 1, 13

6. π - 2, 52, 54

Step-by-step explanation:

π = 3.1415

The ratios 5 : 3 and 10: 6 ARE equivalent ratios. Which ratio is NOT equivalent to BOTH original ratios?

A. 15: 12

B. 30: 18

C. 15: 9

D. 20: 12

Group of answer choices

C

A

B

D
MATH
7TH GRADE

Answers

Answer:

A

Step-by-step explanation:

30:18 /6 =5/3

15:9 /3 =5/3

20:12 /2 =5/3

Answer:

free points

Step-by-step explanation:

thanks sis

29 2/3 divide 7 1/2
what’s the answer

Answers

Answer:2 5/42 or 89/42

Step-by-step explanation:

The answer would be 1/21
I tried to just write the answer but they said I had to write 20 sentence.

Select the correct answer. The equation of a line in the point-slope form is show below. y - 9 = ls 1/5(x - 2) What is the slope of this line?

Answer Choices:
A. 2
B. 1/9
C. 5
D. 1/5​

Answers

the slope for this is 1/5

Answer:1/5

Step-by-step explanation:

Arturo is driving to a hotel. After 3 hours of driving, he is 135 miles from home. After 5 hours of driving, he is 225 miles
from home. Arturo graphs his distance with respect to time as a line. What is the slope of the line?
Respect to time as a line. What is the slope of line?

Please help !

Answers

Answer:

it is C

Step-by-step explanation:

i took all the test and got a hundred

if we graph his distance with respect to time as a line then slope of line is 45.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Arturo after 3 hours of driving is 135 miles from home. After 5 hours of driving, he is 225 miles

from home

Let the two points are (3, 135) and (5,225)

m=225-135/5-3

=90/2

=45

Hence, if we graph his distance with respect to time as a line then slope of line is 45.

To learn more on slope of line click:

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