Completing the Square
Solve each equation by completing the square.
1) 7x2 + 14x - 65--9

Answers

Answer 1

Answer:

2(30-7x)

Step-by-step explanation:

=14+14x-65-9

=14+14x-79

=60+14x

=2(30-7x)


Related Questions

Please help me with this.

Answers

Answer:

-4 ≤ x ≤ 4

Step-by-step explanation:

The domain is essentially the range of values x can take. In the figure, the highest value is 4 and the lowest is -4.

factor 5x^2 + 10x + 5

Answers

answer: 5(x-1)^2 because you factor out the 5 to look like 5(x^2+2x+1) then just factor the expression to the answer.

Ariel and her friends purchased some drinks and pizza slices at the snack bar. Each drink cost $2, and each pizza slice was $4. They purchased 9 items and spent a total of $28. Write a system of equations to represent this situation, using d to represent the number of drinks, and p to represent the number of pizza slices

Answers

Answer:

[tex]\left\{ \begin{array}{ll} 2d+4p=28 \\ d+p=9 \end{array}[/tex]

Step-by-step explanation:

We are letting d represent the number of drinks and p represent the number of pizza slices.

We know that each drink d costs $2. We also know that each pizza slice p costs $4. They spent a total of $28. Therefore:

[tex]2d+4p=28[/tex]

We also know that 9 items was purchased all together. So, the total number of drinks d and pizza slices p sum to 9:

[tex]d+p=9[/tex]

Therefore, our system of equations is:

[tex]\left\{ \begin{array}{ll} 2d+4p=28 \\ d+p=9 \end{array}[/tex]

Use the diagram to solve. What is 260% of 6? Percent Total 100% 100% 20% 20% 20% 260% 3.6 9.6 15.6 21.6

Answers

Answer:

To find this, multiply 6 by the decimal value of the percent.

6*2.6=15.6

Final answer: 15.6

Step-by-step explanation:

Answer:

15.6 or c

Step-by-step explanation:

Need HELP plz 45 points


Is there enough information to prove that the triangles are congruent?

If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.

If no, justify your answer.

Answers

Answer:

They are equal and we can prove this using the AAS Congruence Postulate.

Step-by-step explanation:

you have a bill of $56.40. find a 15% tip?​

Answers

Answer:

$8.46

Step-by-step explanation:

15%=0.15

56.40(0.15)

8.46

The correct answer would be $8.46

if l || m,find the value of x, (8x + 20) (11x-31)

Answers

Answer:

x=17

Step-by-step explanation:

8x+20=11x-31

We simplify the equation to the form, which is simple to understand  

8x+20=11x-31

We move all terms containing x to the left and all other terms to the right.  

+8x-11x=-31-20

We simplify left and right side of the equation.  

-3x=-51

We divide both sides of the equation by -3 to get x.  

x=17

Answer:

17

Step-by-step explanation:

8x + 20 = 11x - 31

-8. -8

20 = 3× - 31

+31. +31

51 = 3x

/3. /3

x = 17

your company purchased a twelve-month insurance policy for $36,000 in January
whats the entry to record the monthly insurance expense in march

Answers

Answer:

Debit Insurance expense for $3,000

Credit Prepaid insurance for $3,000

Step-by-step explanation:

Before the recording entry, the monthly insurance expense has to be calculated first as follows:

Monthly insurance expense = Prepaid insurance / n ............. (1)

Where;

Prepaid insurance = Insurance policy amount = $36,000

n = number of months = 12

Substituting the values into equation (1), we have:

Monthly insurance expense = $36,000 / 12 = $3,000

Since the monthly insurance expense is $3,000, it implies that the insurance expense for March is $3,000.

the entry to record the monthly insurance expense in March will therefore look as follows:

Month      Account Title                     DR ($)                CR ($)              

March      Insurance expense          3,000

                    Prepaid insurance                                    3,000

               (To record monthly insurance expense for March)              

A sample of n = 16 scores has a mean of M = 40 and a variance of s2 = 64. What is the estimated standard error for the sample mean?

Answers

Answer:

[tex]S.E = 2[/tex]

Step-by-step explanation:

Given

[tex]Mean = 40[/tex]

[tex]s^2 = 64[/tex] ----- variance

[tex]n = 16[/tex] ------------ sample

Required

Determine the S.E

The estimated standard error (S.E) for the sample mean is calculated using the following formula:

[tex]S.E = \frac{SD}{\sqrt n}[/tex]

Where

[tex]SD = Standard\ Deviation[/tex]

[tex]SD = \sqrt {s^2}[/tex]

[tex]SD = \sqrt {64}[/tex]

[tex]SD = 8[/tex]

So:

[tex]S.E = \frac{SD}{\sqrt n}[/tex]

[tex]S.E = \frac{8}{\sqrt{16}}[/tex]

[tex]S.E = \frac{8}{4}[/tex]

[tex]S.E = 2[/tex]

Hence: the estimated standard error for the sample mean is 2

A recent study reported that the prevalence of hyperlipidemia (defined as total cholesterol over 200) is 30% in children 2-6 years of age. If 12 children are analyzed.

Required:
a. What is the probability that at least 3 are hyperlipidemic?
b. What is the probability that exactly 3 are hyperlipidemic?
c. How many would be expected to meet the criteria for hyperlipidemia?

Answers

Answer:

(a) 0.7472

(b) 0.2397

(c) 3.6

Step-by-step explanation:

Let X denote the number of children who are hyperlipidemic.

The proportion of children who are hyperlipidemic is, p = 0.30.

A random sample of n = 12 children are analyzed.

Every child is independent of the others to be expected to meet the criteria for hyperlipidemia.

The random variable X follows a binomial distribution with parameters n = 12 and p = 0.30.

(a)

Compute the probability that at least 3 are hyperlipidemic as follows:

[tex]P(X\geq 3)=1-P(X<3)\\\\=1-\sum\limits^{2}_{0}{{12\choose x}(0.30)^{x}(0.70)^{12-x}}\\\\=1-0.25282\\\\=0.74718\\\\\approx 0.7472[/tex]

Thus, the probability that at least 3 are hyperlipidemic is 0.7472.

(b)

Compute the probability that exactly 3 are hyperlipidemic as follows:

[tex]P(X=3)={12\choose 3}(0.30)^{3}(0.70)^{12-3}\\\\=220\times 0.027\times 0.040353607\\\\=0.23970042558\\\\\approx 0.2397[/tex]

Thus, the probability that exactly 3 are hyperlipidemic is 0.2397.

(c)

Compute the expected number of children who would meet the criteria for hyperlipidemia as follows:

[tex]E(X)=np=12\times 0.30=3.6[/tex]

Thus, 3.6 children would be expected to meet the criteria for hyperlipidemia.

what is the decimal expansion for 7 over 9

Answers

Answer:

0.77777777......

Step-by-step explanation:

You divide them. Hope I helped!

Please mark Brainliest!!!!

f(x) = x g(x) = 1


What is the domain of (
g
f
) (x)?

Answers

Answer:

[tex]x\neq 0[/tex]

Step-by-step explanation: the domain[tex]0[/tex]⇒[tex]x{}[/tex]∈[tex]R[/tex]-{0}

HELP PLZZZ i need it plz

Answers

Pretty messy but hope it helps

Find the measures of the angles.
(8x-1)º
(3x + 4)º
(3x + 9)
°
95, 40, 45
90, 25, 65
80, 52, 48
70, 68, 42

Answers

Answer:

answer is - 95, 40, 45

Step-by-step explanation:

Since the interior angles of a triangle add up to be 180 degrees, I set up the equation like so:

(8x-1)+(3x + 4)+(3x + 9) = 180

=> 14x +12 = 180

=> 14x = 180-12

=> x = 168/14 = 12

now putting value of x = 12

we get---

8*12 -1 = 96-1 = 95

3*12 + 4 = 36+4 = 40

3*12 + 9 = 36 + 9 = 45

( Answer )

2p(9p − 1) pls help will give brainiest

Answers

Answer:

18p^2-2p

Step-by-step explanation:

You need to distribute

2*9= 18, p*p= p^2 so 18p^2

Then

2*-1= -2 and you need to include the p so -2p

Answer: 18p²-2p

Working:

• We multiply everything inside the brackets by what is outside the brackets
- So, we multiply 9p - 1 by 2p
- To do 9p x 2p we multiply the coefficients first (the number before the letter), which gives us 18 (9 x 2)
- Then we multiply the letters, p x p which gives us p²
- Then add the two things together which gives us 18p²

• Then we do -1 x 2p, which we do in the same way as before
- This gives us -2p
- Using both of these we put them back together which gives us:

• 18p² - 2p

A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $40 million after 4 years, while profits increased $30 million per year. Select the correct graph of this function. (2 points)

A)There is a graph of a line that has a y intercept that is approximately $80 million and passes through the point of approximately x equals 2 years and y equals $140 million.

B)There is a graph of a line that has a y intercept that is approximately negative $80 million and an x intercept that is approximately 2.7 years.

C)There is a graph of a line that has a y intercept that is approximately negative $45 million and an x intercept that is approximately 2 years.

D)There is a graph of a line that has a y intercept that is approximately negative $45 million and an x intercept that is approximately 0.6 years.

Answers

Answer:

I am not really good at this but...if I had to choose the ones that make sense

A and B

Step-by-step explanation:

Your are incresing the amount is going up, so if you go backwards you woild have to the negatuves.

Then again I woild not trust my math for the second answer cause I am no good at math.

A farm lets you pick 3 pints of raspberries for $12.00.

a. What is the cost per pint?
b. How many pints do you get per dollar?
c. At this rate, how many pints can you afford for $20.00?
d. At this rate, how much will 8 pints of raspberries cost?

Answers

Answer:a.4 dollars per pint

b.4th a pint/ 1 cup per dolllar

c. 5 pints

d.32 dollars

Step-by-step explanation:

In a survey of 2,300 people who owned a certain type of​ car, 1,150 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

65%

Step-by-step explanation:

To find percentage, take the number out of the whole number, and divide it by the whole number. In this case, 1495 out of 2300 said they are satisfied. To find the percent, we have to do 1495/2300=0.65, which is 65%.

Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are . If point D divides in the ratio 4 : 5, the coordinates of point D are .

Answers

Answer:10,-4 and 58/9,-2

Step-by-step explanation:

Plato users

What is the missing side? Round your answer to the nearest hundredth if necessary .

Answers

Answer:

20......................

Michelle works in the mall and her hours increase during busy shopping times of the year. Michelle has a plan to
save $45 each week for 7 weeks, and then increase that amount by $30 for the next 8 weeks during the busy time,
then go back to $45 per week. If Michelle's plan is to save $1185, how many weeks total will she need to save?
Show your work
12
II

Answers

Answer:

The total number of weeks Michelle needs to save is 29.

Step-by-step explanation:

Michelle plans to save $1185 in a number of weeks to determine later.

In the first 7 weeks, she will save $45 each week for a total of

$45 * 7 = $315

In the next 8 weeks, she will save $30 each week for a total of:

$30 * 8 = $240

During these 15 weeks, she has saved

$315 + $240 = $555

She still has a remaining $1185 - $555 = $630 to save.

Those $630 will be saved in a number of weeks at $45 per week, thus the number of weeks is:

$630 / $45 = 14 weeks

Total weeks = 15 + 14 = 29

The total number of weeks Michelle needs to save is 29.

Solve this equation.
[tex]\frac{x + 4}{6x} = \frac{1}{x}[/tex]

A. x = -2
B. x = 0, -2
C. x = 2
D. x = 0, 2

Answers

The answer is C. X=2

what type of angle is 2??
a. Alternate Exterior
b. Alternate Interior
c. Corresponding
d. Linear Pair
e. Same-Side Exterior
f. Same Side Interior
g. Vertical Angles
h. No Relationship

Answers

Answer:

Vertical Angles...............

What value(s) of x will make x2 = 36 true?

Answers

Answer:

x²=36

x²=6²

equating both squares

x=6

so, b is correct answer

The solution of the given quadratic equation is x=6 and x=-6.

The given equation is x²=36.

What is the solution of a quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given equation can be solved as follows

Now, x²=36

Square root on both the sides, we get

x=±√36

⇒ x=±6

So, x=6 and x=-6

Hence, the solution of the given quadratic equation is x=6 and x=-6.

To learn more about the solution of quadratic equation visit:

https://brainly.com/question/18305483.

#SPJ2

What is the equation of the line that passes through the point (5,2) and has a slope
of -3/5

Answers

Answer:y = -0.6x + 5

Step-by-step explanation:

Answer:

yessir the one on top is right btw

Step-by-step explanation:

hope this helped

What property was used to solve the equation?
O Property of opposites
O Division property of equality
* Addition property of equality
O Multiplication property of equality

Answers

Answer:

Multiplication sorry I late

Step-by-step explanation:

Answer: Multiplication property of equality

Given: ΔABC
m∠1=m∠2
D∈ AC , BD = DC
m∠BDC=100°
Find: m∠A, m∠B, m∠C

Answers

Answer:

m∠A = 60°, m∠B = 80°, m∠C = 40°

Step-by-step explanation:

Since BD = DC, the triangle BDC is isosceles, so

m∠C = m∠2

Having m∠BDC = 100°, we can find m∠C

m∠C = 1/2(180° - 100°) = 1/2(80°) = 40°

Finding angle B

m∠B = m∠1 + m∠2 = 2*m∠2= 2*40° = 80°

Finding angle A

m∠BDA = 180° - m∠BDC = 180° - 100° = 80°m∠A = 180° - (m∠1 + m∠BDA) = 180° - (40° + 80°) = 180° - 120° = 60°

Answer:

m<A=60 degrees, m<B=80 degrees, m<C=60 degrees.

Step-by-step explanation:

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Consider the following sequence of successive numbers of the 2k -th power: 1, 2²^k , 3²^k , 4²^ k , 5²^k , ... Show that the difference between the numbers in this sequence is odd for all k ∈ N.

Answers

Answer:

The difference between two consecutive numbers in this sequence would be something like:

(2n + 1)^(2*k) - (2n)^(2k)

(or in the other order, but is essentially the same)

where n is an integer number.

Then:

2*n is an even number

2*n + 1 is an odd number.

(2n)^(2k) = 2*(2^(2k-1)*n^(2k)) this will be even for any natural number k.

(2n + 1)^(2k)

Let's suppose that k = 1.

Then we have:

(2n + 1)^(2) = (2n + 1)*(2n + 1) = (2n)^2 + 4n + 1 = 2*(2n^2 + 2n) + 1

If (2n^2 + 2n) is an integer (and it is) we can rename it as N

(2n + 1)^(2) = 2*N + 1

It is still odd.

Now if k = 2, we will have:

(2n + 1)^(2*2) = (2n + 1)^(4)

And using what we found above, we can rewrite this as:

(2*N + 1)^2

And we know that this will be odd.

Then we can already see that:

(2n + 1)^(2k) will be odd for any value of k (where k is a natural number)

Then:

(2n + 1)^(2k) -  (2n)^(2k)

Is the difference between an odd number and an even number, and this will always be an odd number.

{1.2.3.4.5} set builder

Answers

Step-by-step explanation:

A set-builder notation describes or defines the elements of a set instead of listing the elements. For example, the set { 1, 2, 3, 4, 5, 6, 7, 8, 9 } list the elements. The same set could be described as { x/x is a counting number less than 10 } in set-builder notation.

What is the value of the function at x=−2?

Answers

Answer:

y = 3

General Formulas and Concepts:

Reading a Cartesian PlaneReading and labeling coordinates

Step-by-step explanation:

The question is asking us what the y-value is when x = -2.

According to the graph, when x = -2, y = 3.

Therefore, y = 3.

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