Find the value of c that completes the square

x^2+7x+c

Please help me with how to do this, and show me. Thank you.

Answers

Answer 1

Answer:

c = [tex]\frac{49}{4}[/tex]

Step-by-step explanation:

Given

x² + 7x + c

To complete the square

add ( half the coefficient of the x- term )² to x² + 7x

x² + 2([tex]\frac{7}{2}[/tex] )x + [tex]\frac{49}{4}[/tex] , thus

= (x + [tex]\frac{7}{2}[/tex] )² ← a perfect square

with c = [tex]\frac{49}{4}[/tex]


Related Questions

find the slope pleaseee

Answers

Answer:

[tex]m=\frac{4}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Pick any 2 points from the chart.

Point (-5, -7)

Point (0, -3)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-3+7}{0+5}[/tex]Add:                              [tex]m=\frac{4}{5}[/tex]

Find the value of the integral from 2 to 6 of the natural log of x, dx using four rectangles of equal width, with each right end-point used to find the height of each rectangle.

Answers

Answer: Choice B.

ln(3) + ln(4) + ln(5) + ln(6)

=======================================================

Explanation:

Refer to the diagram below. It shows four rectangles each of base 1. Their height varies depending on the output of the natural log function.

More specifically the heights are ln(3), ln(4), ln(5) and ln(6) from left to right. Note how this corresponds exactly to the points on the y = ln(x) curve such that they are the upper right corners of the Riemann Sum rectangles. These corner points are points A,B,C,D.

Since each base is 1 unit wide, this means each rectangle's area is equal to the height. More thoroughly, we say that

area = base*height = 1*f(x) = f(x), where x takes on the values from {3,4,5,6}

Side note: As the diagram shows, we have an overestimate of the actual area under the curve from x = 2 to x = 5.

om each drop-down menu. Megan's commute to work includes an 8-mile drive and a 21-mile train ride. This expression can be used to find the total time it takes Megan to get to work, where xis her average driving speed in miles/hour. 21​

Answers

Answer: The answers are x+20 and 0.50 hrs

I just took the test so ik these are right

The total time it takes Megan to get to work,

⇒ (8 / x) + (21 / y)

where, x is her average driving speed in miles/hour. 2

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10

Given that:

Average driving speed = x mph

Miles driven to work = 8 mile

Miles by train to work = 21 miles

Average train speed = y

Hence, Total time taken to get to work is,

We know that;

⇒ Time taken = distance / speed

Hence,

Time taken = total distance / average driving speed

⇒ Total time taken = (8 / x) + (21 / y) hours

⇒ Total time taken = (8 / x) + (21 / y) hours

Learn more about the divide visit:

brainly.com/question/28119824

#SPJ5

Jaimie earned $80 this week coaching basketball, which is twelve dollars more than twice what she made last week. How much money did Jaimie make last week?

Please Help!!!!

Answers

Answer:

34

Step-by-step explanation:

$80 - 12 is 68, and 68/2 is 34.

Hope this is right and helps!

HELPPPP PLZZZZ


its ok khan academy

Answers

Answer:

2/3

Step-by-step explanation:

You rise up the y axis 2 times

and

you run/ go across the x axis 3 times

rise/run or y/x

Select the correct answer from each drop-down menu.
A
m
D
G
F
с
B
FABERE, then line segment
is parallel to line segment
Reset
Next

Answers

Answer:

D-E is parallel to F-G which is parallel to B-C meaning all three are parallel

Step-by-step explanation:

i really need help with this fast!!

Answers

Answer:

Hello. y=1/2x-2

Step-by-step explanation:

The line that is perpendicular to this line ،its slope must be 1/2

So:

[tex]y - y0 = m(x - x0) \\ y - 2 = \frac{1}{2} (x - 8) \\ y = \frac{1}{2} x - 2[/tex]

Place the numbers 1.07, 1.7 and 1.007 in order from greatest to least.

Answers

Answer:

1.007, 1.07, 1.7

Step-by-step explanation:

Answer:

1.7,  1.07,  1.007

Step-by-step explanation:

A tenth is greater than a hundredth or a thousandth. A hundredth is greater than a thousandth, and a thousandth is less than both a hundredth and tenth

can someone please help mee.

Answers

Answer:

[tex]\displaystyle y<-\frac{1}{5}x+1[/tex]

Step-by-step explanation:

Graph of an inequality

The graph represented in the image is a line and we have two clear points through which the line passes.

Those points are (0,1) and (5,0).

The equation of a line can have the slope-intercept form:

y=mx+b

Substituting the point (0,1):

1=0+b

b=1

Substituting the point (5,0):

0=m(5)+1

Solving for m:

[tex]\displaystyle m=-\frac{1}{5}[/tex]

The equation of the line is:

[tex]\displaystyle y=-\frac{1}{5}x+1[/tex]

The origin belongs to the solution if we substitute (0,0) the inequality should stand:

0<1

Or:

0≤1

Since the line is dashed, the boundary line is not part of the solution

Thus the inequality is:

[tex]\boxed{\displaystyle y<-\frac{1}{5}x+1}[/tex]

Option D.

A builder is building a rectangular deck with dimensions of 16 feet by
30 feet. To ensure that the sides form 90° angles, what should each
diagonal measure?

Answers

Answer:

Each diagonal should measure 34 feet to ensure that the sides form 90°

Step-by-step explanation:

The relation between the diagonal of the rectangle and its length and width is D = [tex]\sqrt{L^{2}+W^{2}}[/tex] ⇒ Pythagoras Theorem

∵ A builder is building a rectangular deck with dimensions of 16 feet

   by  30 feet

L = 16 feet

W = 30 feet

→ By using the Pythagoras Theorem above to find its diagonal

∵ D = [tex]\sqrt{(16)^{2}+(30)^{2}}[/tex]

∴ D = [tex]\sqrt{256+900}[/tex]

∴ D = [tex]\sqrt{1156}[/tex]

D = 34 feet

→ The diagonals of the rectangle are equal

∴ The length of each diagonal of the rectangle = 34 feet

Each diagonal should measure 34 feet to ensure that the sides form 90°

You are $45 how many cars did you wash

Answers

Perhaps 4 car washes, yeah?

Answer:

Give the full question, then I might be able to solve it.

Help will give a crown AND 83 POINTS

Answers

Answer:

A is correct

Step-by-step explanation:

Which statement is true? 1, A strong association implies a positive correlation. 2, A Positive correlation implies a strong association. 3, A positive correlation implies a positive slope. 4, A negative correlation implies a weak association Intro​

Answers

Answer:

it's A

Step-by-step explanation:

is a positive correlation

can you help me with this? 1

Answers

Answer:

I think the correct answer is A

Step-by-step explanation:

becoz an isosceles triangle has both angles equal and also the hypotenuse is the same

the answer for the question is A

Determine If The Triangles Are Similar.If They Are,Choose The Reason Why.

Answers

Answer:

because they all have 3 corners

The graph shows the distance Arlene ran on Saturday preparing for a marathon. What is the rate of change and what does it represent?

Answers

Answer:

Rate of change = 6 miles per hour

Step-by-step explanation:

Rate of change of the line is represented by the slope of the line.

Formula to get the rate of change is,

m = [tex]\frac{\triangle y}{\triangle x}[/tex]

From the graph attached,

Given straight line is passing through two points (2, 12) and (4, 24).

Rate of change = [tex]\frac{y_2-y_2}{x_2-x_1}[/tex]

                          = [tex]\frac{24-12}{4-2}[/tex]

                          = 6

Rate of change of the line = 6 miles per hour

Therefore, rate of change of the graph will define the speed of Arlene.

For each representation of a relationship, determine if it is a function or not.
Explain how you know with your answer.
(Giving brainliest to first and correct answer)

Answers

Answer:

e is a function; f is not a function

Step-by-step explanation:

All functions must pass the vertical line test. this means that the when those points are plotted, no two points are on the same vertical line. You can tell if they are on the same vertical line by their x-coordinate. If two points have the same x-coordinate, then they are on the same vertical line. This means that the if two points have the same x-coordinate in the relationship, it is not a function. In e, the x-coordinates are 0, 4, 8, and 3. In f, the x-coordinates are 0, 4, 0, and 6. In e, all the x-coordinates are different, so it is a function. In f, however, 0 is a repeated x-coordinate, so it is not a function.

Evaluate 6g - 8k when g=4 and k=2.8

Answers

Answer:

Step-by-step explanation:

Putting values in the equation

6g - 8k

6(4) - 8(2.8)

24 - 22.4

= 1.6

Step-by-step explanation:

=6g-8k

=6×4-8×2.8

=24-22.4

=1.6

As I guess

hope it help u.

please help, i need this answer by sunday .........

Answers

the answer is 2/3 :)


What is the value of x in the equation:
1/3(x+3)+ 4 = -4+2
/3x

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1}{3} (x+3)+4=-4+\frac{2}{3} x\\multiply~by~3\\x+3+12=-12+2x\\x-2x=-12-3-12\\-x=-27\\or~x=27\\[/tex]

or if it is

[tex]\frac{1}{3} (x+3)+4=-4+\frac{2}{3x}\\ multiply~by~3x\\x(x+3)+12x=-12x+2\\x^2+3x+12x+12x=2\\x^2+27x-2=0\\x=\frac{-27 \pm \sqrt{(27)^2-4*1*-2} }{2*1} \\or~x=\frac{-27 \pm \sqrt{729+8} }{2} \\or~x=\frac{-27 \pm\sqrt{737} }{2}[/tex]

which number is irrational number √79 0r √100000

Answers

√79 is an irrational number

Given that n=N-ab find the value of N when n=6,a=1 and b=2​

Answers

Answer:

N = 8

Step-by-step explanation:

n=N-ab

where n = 6

          a = 1

          b = 2

6 = N - 1(2)

N = 6 + 2

N = 8

SOMEONE HELP!! ASAP ! I’ll give brainliest !!!

I need answers for A B and C! Pls and ty!!

Answers

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

6. Which set of ordered pairs represents y as a function of X?

Answers

It’s already circled I’m confused

Sasha hasn’t won any of the 40 games she has played with her four friends so far. She wants to win at least 20%. How many does she need to win in a row to get 20%?

Answers

Answer:

10

Step-by-step explanation:

Given that Sasha has won 0 games in the 40 games she has played.

Let she needs to win x game in a row, so

Total game she played = 40 + x

The number of the game she won is x, which is 20% of the total game she played, so

x = 20% of (40+x)

[tex]\Rightarrow x = 0.2(40+x) \\\\\Rightarrow x = 8+0.2x \\\\\Rightarrow x-0.2x=8 \\\\\Rightarrow 0.8x = 8 \\\\\Rightarrow x = 8/0.8=10.[/tex]

Hence, she needs to win 10 games in a row.

What is the decimal equivalent of 11/50

Answers

The decimal equivalent would be 0.22 :)

If anyone plays pokemon go put your code in your answer and I will add you

Answers

that's not why this app is for

Answer:

i don't sorry! my friend does... let me see if i can get their code

Step-by-step explanation:

A company that makes​ hair-care products had 2,000 people try a new shampoo. Of the 2,000 ​people, 6 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?
*blank* % of the people had a mild allergic reaction.

Answers

Answer:

0.3%

Step-by-step explanation:

Answer:

0.3%

Step-by-step explanation:

Divide 6 by 2000

6/2000 = 0.003

One Way to Solve:

To convert any percentage to a decimal, move the decimal point two spaces back from the percentage

0.003 = 000.3%

4s - 13 = 51 SHOW ALL WORK

Answers

Answer:

you have to get rid of the numbers and then get rid of the letters until only s is left

Step-by-step explanation:

4s - 13= 51

51+13= 64

4s= 64

64÷4 = 16

s= 16

answer the question pls xx

Answers

Answer:

3 lines of symmetry

Step-by-step explanation:

the lines go through the vertices of the triangle

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