(c) What is the value of p if 4x² + 20x + p is a
perfect square​

Answers

Answer 1

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[tex]( {a + b})^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

_________________________________

[tex]4 {x}^{2} + 20x + p = [/tex]

[tex]( {2x})^{2} + 2(2x)(5) + p = [/tex]

Thus ;

[tex]p = {5}^{2} [/tex]

So

[tex]p = 25[/tex]

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Related Questions

what's the distance between (2,10) and (-6,6)

Answers

Answer:

4

Step-by-step explanation:

Answer:

sqrt of 80 , or 8.944272 rounded to the nearest tenth would be 8.9

Step-by-step explanation:

use formula:

d= sqrt(x2−x1)^2+(y2−y1)^2

-5(2× - 4)=2(x - 8) with work please :)​

Answers

Answer:

Step-by-step explanation:

−5(2)(−4)=2(x−8)

Simplify both sides of the equation.

−5(2)(−4)=2(x−8)

−5(2)(−4)=(2)(x)+(2)(−8)(Distribute)

40=2x+−16

40=2x−16

Step 2: Flip the equation.

2x−16=40

Step 3: Add 16 to both sides.

2x−16+16=40+16

2x=56

Step 4: Divide both sides by 2.

2x/2 = 56/2

x=28

Distribute the -5 to 2x and -4 which would be: -10x+20=2(x-8)
Then distribute the 2 to x and -8 which would be: -10x+20=2x-16
Subtract 20 from both sides:-10x+20=2x-16
-20. -20
10x= 2x-36
Subtract 2x from both sides: -10x=2x-36
-2x. -2x
-12x=-36
Divide -12 from both sides: -12x=-36
-12/-12= -36/-12
So in the end x=3

A) -2/3

B) -1/3

C) 1/3

D) 2/3

Answers

Answer:

D

Step-by-step explanation:

(0, -3), (6,1) these are the points

Using the slope formula:

1+3/6-0= 4/6=2/3

Thus, it is D

Fill in the table using this function rule.
y=-3x + 5

Answers

Answer:

y=-3(-4)+5,,,, you get y=12+5  y=17

y=-3(-2)+5,,,, you get y=6+5  y=11

y=-3(0)+5,,,, you get y=0+5  y=5

y=-3(2)+5,,,, you get y=-6+5 y=-1

Step-by-step explanation:

hope it helps:)

Write -2(pi)/9 in degrees.

Answers

Answer:

-40 DEGREES

Step-by-step explanation:

Please help me I don’t understand stand it

Answers

the answer is C, 4!!!



Rachel worked 2.5 hours on Monday, 3.5 hours on Tuesday, 2 hours on Thursday, and 5 hours on Saturday. She is paid $10.66 per hour. How much money did Rachel earn that week?

Answers

Answer:

$138.58

Step-by-step explanation:

You would first set up an equation. You want to know how much money Rachel earned that week, so let's refer to that by using variable t for total money earned this week.

Next, we also know that Rachel is paid 10.66 per hour, so we'll be multiplying it by the number of hours she worked this week. This allows us to set our equation up as follows:

10.66(2.5+3.5+2+5) = t

You would now add like terms.

10.66(13) = t

You would now multiply 10.66 and 13(total number of hours worked this week).

This would get us 138.58, or the total numnber of money Rachel earned this week.

I really need help ​

Answers

Answer:

A and D

Step-by-step explanation:

Hope this helps!

(x-8)(2x+5)=0 solve the equation

Answers

Answer:

x=8

Step-by-step explanation:

x= -5/2=-2 1/2= -2.5. If you add all of those up you will get x=8

Hope this helps and have a great day :)

IM DUMB HELP ME WAAAAAAAAA

Answers

Answer:

Sales tax (6.5% of Subtotal) would be

The total amount comes out to

Step-by-step explanation:

The first step is to add the sales tax percentage to the gratuity percentage. In this example, that would equal 24.5%. Next, we must divide the sum of the sales tax percent and the gratuity percent by 100 to convert to a decimal. So, 24.5% divided by 500 comes out to 0.245. Then, multiply the result by the amount of the bill to find what the sales tax and gratuity add to the bill. However, we do not have the bill amount given, so we must figure that out. In order to do this,

2(x+7)=-4x+14

Solve this for 15 points.

Answers

First, use the distribution property on the left side.
2x + 14 = 4x + 14
Then, isolate both sides so that like terms are on either sides. Subtract 2x from both sides to move x to the right side and subtract 14 from both sides to move the numbers to the left side.
0 = 2x
Lastly, divide by 2 on both sides to find x.
0 = x

What are some important things I should put in my notes about ratios(In 6th grade so nothing to high up I wouldn't know about)​

Answers

Answer:

some tips

Step-by-step explanation:

- Ratios can include fraction forms, ex; 5/3. using the word 'to', ex; 5 to 3, and using the colon symbol. 5:3. Do not put ratios in number order like least to greatest values, ever, because the order they come in matter. Make sure to always simplify if possible. ex; 5:25 = 1:5 . thats it, if you get any of the points down then you got it.

Three times the sum of three consecutive integers is 72. What are the integers? a. 4, 5, 6 c. 9, 10, 11 b. 7, 8, 9 d. 6, 7, 8

Answers

Answer:

B

Step-by-step explanation:

7+ 8+ 9= 24

24 x 3= 72

Answer:

The three integers whose three times the sum of three consecutive integers is 72 will be: 7, 8, 9

Step-by-step explanation:

Let x, y, and z be the three consecutive integers

The sum of x, y, and z will be: x+y+z

The three times the sum of three consecutive integers is 72.

so the equation becomes:

3(x+y+z)=72

Now, putting x = 7, y=8 and z=9 in the L.H.S equation to check

3(x+y+z)

⇒ 3(7+8+9)

⇒ 3(24)

⇒ 72

Therefore, it is clear that the three integers whose three times the sum of three consecutive integers is 72 will be: 7, 8, 9

Which would be the best concluding sentence?
Tom wrote this paragraph:
Eating at Joe's Pizza Place is a delightful experience.
The food is freshly prepared right there in the
kitchen. Joe uses only the
freshest ingredients and
makes his own tomato sauce. He even makes
homemade sausage.
O Joe's wife, Emma, has decorated the restaurant
with great care.
O A mural on the wall shows Joe making his tomato
sauce at the Pizza Place.
O Joe also keeps a close eye on the servers and
makes sure customers are happy.
O Anyone who enjoys great food should plan a visit to
Joe's Pizza Place.
lol

Answers

the last one seems to be the best

Answer:

D

Step-by-step explanation:

Help please by slope and y- intercept

Answers

Answer:

Slope = -3/4Y - intercept = -3

Step-by-step explanation:

y = mx + b

mx = slope

b = intercept

1. Simplify the equation

4y = -3x - 12

2. Divide both sides by 4

y = -3/4 x - 3

3. Make a graph

First start at the y-intercept, (0, -3)*

Then, use the pattern -3/4

It is called rise over run.

But, when the slope is negative you have to go down instead of up. So you have to go down 3 and 4 to the right.

Continue that pattern until you get your result.

But when you have to go to the upper part of the graph go up 3 and over 4 to the left.

Continue this pattern.

This also applies to other graphs.

* = remember a y-intercept always has a 0 as the x - coordinate.

Hope this helped,

Kavitha

Which of the following values are solutions to the inequality 5 < 7+ 5x?

Answers

Answer:

x can equal to anything that is 1 and higher

Step-by-step explanation:

The equation is already correct, you just want to get x as a number that would increase the value.

What is the value of h(2)?
-2
-1 0 3

Answers

Answer:

103 is ur answer hope this helps

Answer:

The answer is 0 or C on Edge.

Step-by-step explanation:

Got it right. 2021.

There are 31 guests at your home for a dinner party. In how many ways could the guests arrange themselves on a four person couch?

Answers

Answer:

7.75

Step-by-step explanation:

The total number of ways could the guests be arranged on a four person couch is 31465.

What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that there are 31 guests at your home for a dinner party.

The total number of ways could the guests be arranged on a four person couch is -

C{31, 4} = 31!/{(31 - 4)!4!}

C{31, 4} = (31 x 30 x 29 x 28 x 27!/27! x 4!) = (31 x 30 x 29 x 28)/24 = 31465

C{31, 4} = 31465

Therefore, the total number of ways could the guests be arranged on a four person couch is 31465.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ5

AMONG US!
CODE-MRXLFF

Answers

Answer:

I have no idea but thanks for point

Answer:

YASSS AMOUNG USSSSSS

What is the total area of this composite figure rounded to the nearest hundredth?

18.53 ft2
43.07 ft2
39.53 ft2
20.07 ft2​

Answers

Answer:

B) 176 ft²

Step-by-step explanation:

Answer:

39.53 ft2

Step-by-step explanation:

If you are having a hard time with this it is most likely due to the semicircle. First you need to divide the diameter (3) by 1/2, next you multiply the now radius (radius is always 1/2 of the diameter) and pi to get 3.53.

Now you have to find the area of the rectangle, 3*12 = 36.

36 + 3.53 = 39.53 rounded.

During the summer months, the prices of nonsmoking rooms with a king-sized bed in hotels in a certain area are roughly Normally distributed with a mean of $131.80 and a standard deviation of $29.12. A travel agent randomly selects prices of nonsmoking rooms with a king-sized bed from 15 hotels in the area. What is the probability that their average cost will be more than $150?
a) 0.0077
b) 0.3678
c) 0.2660
d) 0.1125

Answers

C

If you have a graphing calculator, go to 2nd vars, normalcdf(.

Put 150 for the lower bound and 99999999 for the upper bound. You want to know the probability of all the values over 150. Put 131.8 for the mean and 29.12 for the standard deviation. Click paste.

Your answer will be .266

How many solutions does -3+9v=8v have

Answers

Answer:

-3 = 8v-9v

-3 = -1v

v = -3/-1

v = 3

ONE SOLUTION

Answer:

-3+9v=8v

By moving the terms,
9v-8v=3
1v=3
1v/1=3/1

So -3+9v=8v has one solution.

Using reasoning, determine the number of marbles that you would expect to fit if you doubled the diameter

Original diameter was 8cm, could fit 40 marbles. New diameter is 16cm. How many marbles would I fit?

Answers

Answer:

80 marbles

Step-by-step explanation:

8 times 2=16

40 times 2=80

Jimmy earns money for babysitting his little
brother. He earns the same amount every
week. He is saving all the money he earns for a
summer trip. The table shows how Jimmy's
savings have been growing.

Answers

I need the table and the answer choices to help you though

Last week, Kira drove 291 miles. This week, she drove n miles. Using n, write an expression for the total number of miles she drove in the two weeks.

Answers

Answer:

d = 291 + n

Step-by-step explanation:

Given that,

Last week, Kira drove 291 miles. Then this week she drove n miles.

We need to find an expression for the total number of miles she drove in the two weeks. It can be calculate by adding distance force 2 weeks. So,

d = 291 + n

Hence, this is the required solution.

Use the tape diagram to write an equivalent ratio in simplest form. Write your ratio using a colon and no spaces.

Answers

Answer:

4:3

Step-by-step explanation:

There are 8 yellow spots and 6 blue spots

8:6

We can divide each side by 2 since they are both even

8/2: 6/2

4:3

Answer:

4:3

Step-by-step explanation:

Every 6th customer at the flower shop receives a free rose, and every 9th customer receives a free lily.
Which customer will be the first to receive a free rose and a free lily?

Answers

Answer: 18th customer

Step-by-step explanation: Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72

The customer who will be the first to receive a free rose and a free lily is 18th customer

Given:

Every 6th customer = free rose

Every 9th customer = free Lily

Which customer will be the first to receive a free rose and a free lily?

find the lowest common multiple of 6th and 9th customer

6th customer = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

9th customer = 9, 18, 27, 36, 45, 54, 63

The lowest common multiple of 6th and 9th customer is 18

Therefore, the customer who will be the first to receive a free rose and a free lily is 18th customer

Read more:

https://brainly.com/question/16054958

Suppose a trapezoid with the vertices (3,-7) , ( 0,5 ) ,(2,5) , and (5,-7 ) was reflected across the x-axis. Which of these would be a vertex of the reflected figure

A. ( -7,5)
B (-3 ,7)
C (2,5)
D(3,-7)

Answers

It’s (-3,7)

Step by step explanation

I am not the best at explaining but he opposite of(3,-7) is (-3,7) the way I did it is way better than the explanation but it’s (-3,7)

PLEASE HURRY!!! I ONLY HAVE FIFTEEN MINUTES TO ANSWER.


Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?

8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3


a. n6 + 7mn5 + 14m2n4 – 5m3n3 – 6m6

b. –2m6 – 5m3n3 + 14m2n4 + 7mn5 + n6

c. 14m2n4 + 7mn5 – 6m6 – 5m3n3 + n6

d. n6 – 6m6 + 7mn5 + 14m2n4 – 5m3n3

Answers

Answer c is the correct option:) the explanation is complicated just like the question lol

Answer:

c

Step-by-step explanation:

What are the solutions of the quadratic equation? 2 x^2 – 16 x + 32 = 0

Answers

Answer:

X=4,4

Step-by-step explanation:

2 x^2 – 16 x + 32 = 0

2(x^2-8x+16)=0

X^2-(4+4)X+16=0

x^2-4x-4x+16=0

x(x-4)-4(x-4)=0

(x-4)(x-4)=0

X=4,4

So the solution is X=4,4

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