if (x + p) is a factor of both x^2 + 16x + 64 and 4x^2 + 37x + k, where p and k are nonzero integer constraints, what could be the value of k?

Answers

Answer 1

Step-by-step explanation:

x² + 16x + 64 = (x + 8)². Hence p = 8.

Since (x + 8) is a factor of 4x² + 37x + k,

4(-8)² + 37(-8) + k = 0. (by Factor Theorem)

=> 256 - 296 + k = 0

=> k - 40 = 0

=> k = 40.

The value of k is 40.


Related Questions

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Isabella, Marcus, Carl, Devon, and Taylor are to be seated together in a row. If Carl and Devon must sit next to each other, how many different ways can the five people be arranged?

Answers

Answer:

24  

Step-by-step explanation:

4 numbers can be arranged that many times and Carl and Devon count as one since they need to sit next to one another!

Sara went to breakfast with her family. What is the total cost is the sales tax is 6%?​

Answers

Answer:

divide/multiply

Step-by-step explanation:

search it up its simple

What is the value of the expression below when x=5?

Answers

Answer:

790

Step-by-step explanation:

You put 5 instead of x and you calculat

6*5^3 +8*5= 750+40=790

The answer should be 790

what is the coordinates of the point where y-4x=1 crosses the y-axis​

Answers

Answer:

(0, 1)

Step-by-step explanation:

you have to put the equation in the slope point form

y=mx+b and here b is the y-intercept (where it crosses the y axis)

y-4x=1 add 4x to both sides

y=4x+1 so the coordinats are (x=0, y=1)

how do I solve
2×+9=9 ​

Answers

Step-by-step explanation:

2x+9=9

+9. +9

2x = 18

x = 6

not really sure but I tried at least

At 10 AM Han and Tyler both started running towards each other from the opposite end of 10 mile path along the river. Han runs at a pace of 12 minutes per mile.Tyler wanted a piece of 15 minutes per mile.how far does Han one after an hour?

Answers

Answer:

Han will run 5 miles in 1 hour.

Reading and Writing Decimal Numbers through Ten Thousandths
A. Write each decimal in words.
1. 0.016
2. 0.0024
3. 0.0084
4. 26.0037
5. 9.368​

Answers

Answer:

1. Sixteen thousandths 2.Twenty-four Ten-thousandths 3.Eighty-four Ten-thousandths 4. Twenty-six And Thirty-seven Ten-thousandths 5.Nine And Three hundred Sixty-eight Thousandths

If 65% of students in a class like Mathematics, what percent of the students do not like Mathematics

Answers

Answer:

forty five percent 45% go for it

which of the following best describes rotational symmetry

Answers

Answer: B

Step-by-step explanation:

A best describes the quality of symmetry, not specifically rotational symmetry.

C applies to that of A.

D applies to flipping an image across an axis.

B specifically outlines the symmetry of an object when rotated, thus B would be the most precise answer.

With a coupon, a pair of shoes that normally costs $90 is only $72. Find the COP between $90 and $72.

Answers

Answer:

The discount rate operated by the coupon is 20%.

Step-by-step explanation:

Since the pair of shoes normally sells for $ 90, but through the application of a discount coupon it sells for $ 72, to determine the discount percentage made by this coupon it is necessary to perform the following calculation:

90 = 100

72 = X

(72 x 100) / 90 = X

7,200 = 90 = X

80 = X

100 - 80 = 20

Thus, the discount operated by the coupon is 20%.

What number should go into the blank so that the two expressions are equivalent to each other? (Use only the digits 0 - 9 to write the number.)

b + b – 1 + b + b + 10 = __b + 9

Answers

Answer:

4.

Step-by-step explanation:

lets just say the unknown is x.

[tex]b+b-1+b+b+10=bx+9\\4b+9=bx+9\\4b=bx\\4=x\\[/tex]

Hope this helps :D

Here we go someone help me with this!

Answers

Answer:

I think they are-

Step-by-step explanation:

I have never learned this so please don't put every single last bit of trust in me- But I believe they are congruent-

Keenan found a basketball on
sale for 15% off. If it cost
$39.99, what was the sale
price?

Answers

Answer:

$34

Step-by-step explanation:

Take 15% and multiply by $39.99

.15 x 39.99 = 5.99 (or, 6 rounded up)

Then, subtract that from the original price. $39.99 - 5.99 = $34

When you expand 2 (6x + 12), you get an answer of 12x + 24. How many other ways can
you use brackets so you get the answer of 12x + 24 when you expand them?

Answers

Answer:

3(4x+8) or 4(3x+6) or 12(x+2)

Step-by-step explanation:

Answer:

3(4x+8) or 4(3x+6) or 12(x+2)

Step-by-step explanation:

worms are used to break down food waste and create a soil conditioning compost. Some worm populations double every 3 months. Suppose the formula y=2(2^x/3) represent the pounds of worms in a population after x months. If there are initially 2 pounds of worms, how many pounds of worms will there be in 1 year? If 2 pounds is approximately 2,000 worms, how many worms will there be after 1 yesr?​

Answers

8,000 each three months the population is doubled so i figured that each three months there are 2000 more worms i multiplied 3 by 4 Because 3 x 4 is 12 and a year is 12 months, and got 8,000 by multiplying 2,000 by 4. Hope this helps

A photographer charges $25 to travel to a client's location, plus $55 per hour for her
services. What is the duration, in hours, of a photography session that costs $465?

Answers

Answer:

8 Hours

Step-by-step explanation:

First, you have to subtract the 25$ because we already know that that is a stable value (meaning it will not change)

Then, you have to divide 440 by 55 to get an answer of 8 hours for the session :D

To find total multiply 55 by number of hours (h) and then add 25:

Total = 55h + 25

Given the total solve for h:

465 = 55h + 25

Subtract 25 from both sides

440 = 55h

Divide both sides by 55

H = 440/55

H = 8

It was 8 hours

please help me im very behind​

Answers

Answer:

y=4/3x+4

Step-by-step explanation:

The change is Y is +4 and in X in +3, which is how we get the slope..4/3.

And the y-intercept would be 4, which is when x is at 0.

Hope this helps!

Answer:

y=4/3x+4

Step-by-step explanation:

please help me with this one :(​

Answers

Answer:

I can assure you, that this is not that hard. but. I will help you with one of them.

Step-by-step explanation:

audience-look it up in the dictionary

it's basically a crowd of people.

sebtence- I listened to the audio of the audio book.

One card is drawn from a deck of 13 cards numbered 1 through 13. Find the following probabilities. (Enter your probabilities as fractions.)
Find the probability that the card is even or divisible by 3.

Answers

Answer:

the probability is 6/13

pleassssssssse hellpp

Answers

Answer:

c

Step-by-step explanation:

[tex]\frac{d}{dx} \int t^2+1 \ dt[/tex]
There is a 2x on the bottom and x^2 on top of the integral symbol
Please help me my teacher did not teach us this:(

Answers

Answer:

[tex]\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} \ = \ 2x^5-8x^2+2x-2[/tex]

Step-by-step explanation:

[tex]\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} = \ ?[/tex]

We can use Part I of the Fundamental Theorem of Calculus:

[tex]\displaystyle\frac{d}{dx} \int\limits^x_a \text{f(t) dt = f(x)}[/tex]

Since we have two functions as the limits of integration, we can use one of the properties of integrals; the additivity rule.

The Additivity Rule for Integrals states that:

[tex]\displaystyle\int\limits^b_a \text{f(t) dt} + \int\limits^c_b \text{f(t) dt} = \int\limits^c_a \text{f(t) dt}[/tex]

We can use this backward and break the integral into two parts. We can use any number for "b", but I will use 0 since it tends to make calculations simpler.

[tex]\displaystyle \frac{d}{dx} \int\limits^0_{2x} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}[/tex]

We want the variable to be the top limit of integration, so we can use the Order of Integration Rule to rewrite this.

The Order of Integration Rule states that:

[tex]\displaystyle\int\limits^b_a \text{f(t) dt}\ = -\int\limits^a_b \text{f(t) dt}[/tex]

We can use this rule to our advantage by flipping the limits of integration on the first integral and adding a negative sign.

[tex]\displaystyle \frac{d}{dx} -\int\limits^{2x}_{0} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}[/tex]  

Now we can take the derivative of the integrals by using the Fundamental Theorem of Calculus.

When taking the derivative of an integral, we can follow this notation:

[tex]\displaystyle \frac{d}{dx} \int\limits^u_a \text{f(t) dt} = \text{f(u)} \cdot \frac{d}{dx} [u][/tex]where u represents any function other than a variable

For the first term, replace [tex]\text{t}[/tex] with [tex]2x[/tex], and apply the chain rule to the function. Do the same for the second term; replace

[tex]\displaystyle-[(2x)^2+1] \cdot (2) \ + \ [(x^2)^2 + 1] \cdot (2x)[/tex]  

Simplify the expression by distributing [tex]2[/tex] and [tex]2x[/tex] inside their respective parentheses.

[tex][-(8x^2 +2)] + (2x^5 + 2x)[/tex] [tex]-8x^2 -2 + 2x^5 + 2x[/tex]

Rearrange the terms to be in order from the highest degree to the lowest degree.

[tex]\displaystyle2x^5-8x^2+2x-2[/tex]

This is the derivative of the given integral, and thus the solution to the problem.

Write the equation, show all your work, and circle your answer. ** The
square and the equilateral triangle at the bottom have the same
perimeter. Find the length of the sides of the triangle.
X + 5
3x

Please help it’s due Jan 8, 2021

Answers

Answer:

The length of the triangle is 3x given

The no of sides is 3x 3x 3x so 3x+3x+3x= 180

9x=180 x= 20

3x =3*20=60

3x=3*20=60

3x=3*20=60

if i give Mr_MunchlyYumYum 800 bobux and gave him an extra 372 bobux and then cool nbayoungboy182 saw the bobux and took 1000 bobux and then bigwetslimyfart took 341 bobux from nbayoungboy182. nbayoungboy182 gives Mr_MunchlyYumYum 532 bobux. how much bobux does Mr_MunchlyYumYum have? (answer question for 46586373687634587476523498567823686857643872 bobux)

Answers

the answer is spammed key board

Answer:

EZ! 362 bobux

GO TO FLIMFLAM.SHOP

Evaluate the following absolute value function for x=-1
y = 5|x+4|

Answers

Answer:

y=15

Step-by-step explanation:

y = 5|-1+4|

y=5|3|

y=15

A sea lion was swimming at 2 feet below sea level. The number line shows
the location of the sea lion. It then swam down 8 feet. Describe how to use
the number line to find the new location of the sea lion.
109 8-7 654 3 -2-1 0 1 2 345 6789 10
OA. On the number line, move 8 units to the right. End at 10. The sea
lion was 10 feet above sea level.
OB. On the number line, move 8 units to the left. End at -6. The sea
lion was 6 feet below sea level.
O C. On the number line, move 8 units to the left. End at -10. The sea
lion was 10 feet below sea level.
OD. On the number line, move 8 units to the right. End at 6. The sea
lion was6 feet above sea level.
EPREVIOUS

Answers

Answer:

C. On the number line, move 8 units to the left. End at -10. The sea

lion was 10 feet below sea level.

Step-by-step explanation:

hope I helped

For the frieze pattern to the right , describe all transformations that map the pattern onto itself.

Select all that apply
A. Reflection across one or more horizontal lines
B. Reflection across one or more vertical lines
C. Glide reflection
D. Rotation
E. Translation

Answers

I have the same question why can’t I accept this comment

All transformations that map the pattern onto itself are; a horizontal translation and a reflection across a vertical line.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x).

All these translations have predetermined rules that we apply to the figures.

The congruence of a triangle can be obtain through Rotation; Translation; or Reflection.

For this particular strip pattern onto itself, can be obtained by a horizontal translation and a reflection across a vertical line

All transformations that map the pattern onto itself are; a horizontal translation and a reflection across a vertical line.

Learn more about reflection here;

https://brainly.com/question/28186407

#SPJ2

|7-8| • 4 + 3 (-1) ???????

Answers

Answer:

1

Step-by-step explanation:

|7-8| • 4 + 3 (-1) =

= |-1| • 4 + (-3)

= 1 • 4 - 3

= 4 - 3

= 1

The range of (fog)(x) is​

Answers

Answer:

The range of [tex]f\circ g \,(x) = 2^{x+1}[/tex] is [tex]Ran\{f\circ g\,(x)\} = (0, +\infty)[/tex].

Step-by-step explanation:

Let [tex]f\circ g \,(x) = 2^{x+1}[/tex], [tex]\forall\, x \in \mathbb{R}[/tex]. The graphic represents a power function, whose lower bound is the horizontal asymptote [tex]y=0[/tex]. From the graphic we find the range of the composite function corresponds to the values of the function associated with the vertical axis (y-axis).

Hence, the range of [tex]f\circ g \,(x) = 2^{x+1}[/tex] is [tex]Ran\{f\circ g\,(x)\} = (0, +\infty)[/tex].

Answer:  

✔ y > 0.

Step-by-step explanation:

edg 2021

Question 2: 5 pts
A machine costs $50,000. Its value depreciates by 15% after each year. Identify the graph of the sequence and
the correct description of its pattern. Then identify the value of the equipment at the end of 8 years.

Answers

Answer:

The value is decreasing by $7500 each year

At the end of 8 years, the equipments value is -$10000

Step-by-step explanation:

15% of 50000 is 50000*15/100=7500

To find the end of 8 years, you subtract the sum of 7500*8 from 50000

7500*8=60000

50000-60000=-10000

Half a bottle of lemonade is shared between 3 friends . What fraction will each child get ?

Answers

Answer:

1/3

Step-by-step explanation:

i hope this helped !!!!!!!!!

1/6 fraction of bottle of lemonade will each friend gets.

What is Fraction?

A fraction represents a part of a whole.

Given,

Half a bottle of lemonade is shared between 3 friends .

Half means 1/2.

One divided by two is half.

This half is shared between three friends.

So we need to divide half by three of friends.

1/2/(3/1)

When a fraction is divided by another fraction, the denominator is multiplied as reciprocal to numerator.

1/2×1/3

1/6

Hence, 1/6 fraction of  bottle of lemonade will each friend gets.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ2

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