(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]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️


Related Questions

1 A brand of cereal is usually sold in 750 g packs. During a special promotion an
extra 15% is added to each box. What will the new weight be?​

Answers

Answer:

multiply it by.15

Step-by-step explanation:

Answer:  862.50 g

Step-by-step explanation:

Find what 15% of 750  is  then add the obtained value to 750 to find the new weight.

15% * 750  = 112.5  

750 + 112.5 = 862.50

a 38.6 kg is a marble slab is shown above. what is the density

Answers

The question is incomplete. The dimension of the marble slab is 23 cm by 17 cm by 4 cm.

Solution :

Given

The mass of the marble slab, m = 38.6 kg

                                                    = 38600 g

Length, l = 23 cm

breadth , w = 17 cm

Thickness, h = 4 cm

Therefore, volume of the slab is V = 23 x 17 x 4

                                                         = [tex]$1564 \ cm^3$[/tex]

We know,

[tex]$\text{density}= \frac{\text{mass}}{\text{volume}}$[/tex]

          = [tex]$\frac{38600}{1564}$[/tex]

          = [tex]$24.7 \ g/cm^3$[/tex]

What equation represents the line shown
A.y=2x+2
B.y=-2x+2
C.y=1/2x+2
D.y=1/2x+-2

Answers

The slope is negative
B. -2x+2 since it’s the only line that has a negative slope

Answer:

The answer must be either C or D but I think it is D

Step-by-step explanation:

sorry if I am wrong

Determine which situation could be represented by the system of linear equations given below.
5x+3y=210
x+y=60


A. A candy story sells boxes of chocolates for $5 each and boxes of caramels for $3 each. In one afternoon, the store sold 210 boxes of candy and made a profit of $60.
B. An art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
C. A guitar requires 5 strings and a banjo requires 3 strings. An orchestra has a total of 210 strings. One guitar player and one banjo player have 60 strings.
D. An audience contains 210 people. Student tickets cost $3 each and adult tickets cost $5 each. At one performance, there are 60 more adults than students.

Answers

Answer:

B

Step-by-step explanation:

The correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given equations are 5x+3y=210 and x+y=60.In the equation suppose the number of boxes of chocolates is x and the number of boxes of caramels is y.

The cost of each chocolate box is $5 and the cost of each caramel box is $3 so the total cost of the chocolate boxes is the sum of the total cost of both chocolate boxes.

5x+3y=210

The total number of chocolate boxes will be expressed as:-

x + y = 60

Therefore the correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.

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Brandon is landscaping his backyard. He bought 2 7\8tons of decorative rock and 1 2\5 tons of boulders. How many total tons of rock did he buy?

Answers

Answer:

4 11/40 hope this helps :)

Step-by-step explanation:

Answer:

4 11/40

Step-by-step explanation:

I had this question

1. Adding decimals is very similar to adding___________.
2.Line up the number vertically so that all the decimal points are_______.
3. Add extra______to the right of the number so that each number has the same number of digits to the right of the decimal point.
4. Place the______________of the result in line with the other decimal points.

Answers

Answers:

1. Adding decimals is very similar to adding whole numbers.

2. Line up the number vertically so that all the decimal points are aligned.

3. Add extra zeros to the right of he number so that each number has the same number of digits the right of the decimal point.

4. Place the decimal point of the result in line with the other decimal points.

I hope this helped you. If it is please click the thanks button. Thank You, Bye! ;-D

1. Adding decimals is very similar to adding whole numbers.

2. Line up the number vertically so that all the decimal points are aligned.

3. Add extra zeros to the right of the number so that each number has the same number of digits to the right of the decimal point.

4. Place the decimal point of the result in line with the other decimal points.

While adding two decimals.

First, the decimals numbers are written under each other so that decimal points are lined up.The numbers are converted to like decimals by attaching the zeros. The number of zeros attached depends on the number with the maximum digits after the decimal point. The digits of each numbers are lined up so that each column contains digits in the same place. Addition is carried out the normal way by starting from the right to the left. The decimal point is then placed in the place as the numbers above it.

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Alone, Brenda can dig a ditch in 5 hours. If Jack helps her, the two of them can dig
the ditch in 3 hours. How long would it take Jack to dig the ditch himself?

Brainliest if answered first

Answers

Answer:

7.5 hours

Step-by-step explanation:

1/5 in 1 hour and 1/3 in one hour

1/3-1/5 is 2/15

backwards is 15/2

7.5 hours

Hope this helps plz hit the crown ;D

The slope- intercept form of the equation of a line is y = mx + b. When the formula is solved for m, the result is
1. y-x/b
2. y - bx
3. y-b/x
4. x/y - b

Answers

Y = mx + b
Subtract b from both sides
Y-b = mx
Divide by x to make m alone
m = y-b/x

Write a different expression that has the same quotient as -3/8 and 3/8.

Answers

Answer:

x = -3/8

Step-by-step explanation:

Please solve: y = 2x + 5... X = 2

Answers

Answer:

2,9 or y=9

Step-by-step explanation:

So since x=2, plug it in the equation.

y=2(2)+5

y=9

In a coordinate, it would be 2,9

Answer: y = 9

Step-by-step explanation: Substitute the value of x, which is 2, into the equation. 2 multiplied by 2 equals 4, and 5 plus 4 equals 9, thus y equals 9

Mr. G drove a total of 252 miles and used 42
used dia
gallons of gas last weekend. What is the unit
rate of miles to 1 gallon?
R

Answers

Answer: 890

Step-by-step explanation:

as
Complete the equation describing how x
and y are related.
ху
-2
-1
0
1
2
3
-8
-5
-2
1
4
y = [? ]x +
Enter the answer that
belongs in [?].

Answers

Answer:

[tex] y = 3x - 2 [/tex]

Step-by-step explanation:

The equation that describes how x

and y are related is given in the slope-intercept form, [tex] y = mx + b [/tex]

Where, m = slope, and b = y-intercept.

Let's find the value of m and b using the table of values given.

Using two of the pairs given, (-2, -8) and (-1, -5),

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-8)}{-1 -(-2)} = \frac{3}{1} = 3 [/tex]

Substitute x = -2, y = -8, and m = 3 in [tex] y = mx + b [/tex] to find the value of b.

Thus:

[tex] -8 = (3)(-2) + b [/tex]

[tex] -8 = -6 + b [/tex]

Add 6 to both sides

[tex] -8 + 6 = b [/tex]

[tex] -2 = b [/tex]

Substitute m = 3 and b = -2 in [tex] y = mx + b [/tex].

The equation that describes how x

and y are related would be:

[tex] y = 3x - 2 [/tex]

What is the domain of the function for this situation?

Answers

Answer:

There is no problem. If you put the problem then i'll help

Step-by-step explanation:

One number is 4 more than 3 times another. Their sum is 16. Find the two numbers.

Answers

I think the answer is 4 + 3x = 16


The population of a city grew from 43,209 to
45,687 in just five years. What was the percent
increase in the population to the nearest whole
percent?

Answers

Answer:

5 percent or 5.7349percent

divide 43209 by 45687 and get 1.0573491 subtract one

and get 0.0573491 make into a percentage 5.7percent depending on where you need to round.

if you had to express a typical NBA player's salary with a single number (round to the nearest 100000) you would use

Answers

Answer:

wat

Step-by-step explanation:

Anne’s potato salad recipe requires one pound of potatoes for every four people served. How many pounds of potatoes will Anne need to serve 14 people at her picnic?

Answers

Answer:

4 lbs

Step-by-step explanation:

1:4=4:16

16 is bigger than 14

So 4 lbs

The purchase price of a camcorder is $818 what is the total price if the sales tax rate is 8.5%

Answers

I believe it would be $887.53 because the tax would be $69.53

When multiplying more than two integers, describe how you know the sign of the product

Answers

Answer:

The number of negative integers given determines the sign of the product.

Step-by-step explanation:

The sign of the product could either be negative or positive. This depends on the number of negatively directed integers in the given integers to be multiplied. Since all integers are directed numbers i.e either positive whole numbers or negative whole numbers.

Thus to know the sign of the product, if the number of negative integers is even, then the product would be positive. But if the number of negative integers is odd, the product would be negative.

Therefore, the number of negative integers given determines the sign of the product.

According to Bill Nye, How many people need to be in a room for there to be 50% chance of atleast 2 people having the same birthday?a. 128 b. 56 c. 29 d. 12

Answers

Answer:

the answer is actually 23 people

Step-by-step explanation:

Bill Nye's birthday paradox can be explained in the following manner:

first we must find the probability that in a room with 23 people, no two people have the same birthday

probability of no two people having the same birthday = 365/365 x 364/365 x 363/365 x 362/365 ... you keep multiplying until 343/365 = 0.492703

so the probability that in a room with 23 people, no two people have the same birthday = 49.2703%

the probability of two people having the same birthday = 1 - probability of no two people having the same birthday = 1 - 49.2703% = 50.7297%

What is 15 divided by 7.4?

Answers

The answer for that is 2.027

Solve the equation for m. 7(m+5)=21 m = -2 m = 2 = m= 9​

Answers

Answer:

I'm thinking it's 9

Step-by-step explanation:

Who ever gets this question right is BRAINLIEST. Answer For 15 Points

Answers

Answer:

ITS C:D pls give brainliest

Step-by-step explanation:

add all it equals C, 16.25

Justify Solution Paths of Linear Equations
3(x−2)+5x=26 (What property is this?)
3x−6+5x=26 (What property is this?)
8x−6=26 (What property is this?)
8x=32 (What property is this?)
x=4 (What property is this?)


Here are a list of the properties-

Subtraction Property of Equality
Addition Property of Equality
Multiplication Property of Equality
Division Property of Equality
Combine Like Terms
Distributive Property
Given Equation

Answers

Answer:

[tex]3(x-2)+5x=26[/tex] (Given Equation)

[tex]3x-6+5x=26[/tex] (Distributive Property)

[tex]8x-6=26[/tex] (Combine Like Terms)

[tex]8x=32[/tex] (Addition Property of Equality)

[tex]x=4[/tex] (Division Property of Equality)

Step-by-step explanation:

To justify the solution paths of linear equations.

[tex]3(x-2)+5x=26[/tex] (It is the Given Equation)

Here, 3 has to be multiplied with the term [tex](x-2)[/tex], so the distributive property applies.

Therefore, [tex]3x-6+5x=26[/tex]

Here, the like terms with [tex]x[/tex] in it will have to solved by combining them into one.

Therefore, [tex]8x-6=26[/tex]

Here, we add 6 to both sides.

[tex]8x=32[/tex]

Now, divide the both sides with 8.

[tex]x=4[/tex]

Therefore, the answer is:

[tex]3(x-2)+5x=26[/tex] (Given Equation)

[tex]3x-6+5x=26[/tex] (Distributive Property)

[tex]8x-6=26[/tex] (Combine Like Terms)

[tex]8x=32[/tex] (Addition Property of Equality)

[tex]x=4[/tex] (Division Property of Equality)

What value of y makes the following equation true?
−12(−5y+4)=2+12y

Answers

Answer:

Solution

 =  25/24

Step-by-step explanation:

hope that helps :)

find the volume of the prism

Answers

Answer:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.

Step-by-step explanation:

The volume of the prism whose length, breadth, and height are 10 inches, 4 inches, and 3 inches respectively is 120 inches².

A prism is a 3-D geometric shape that has two identical and parallel polygonal bases connected by a series of rectangular or parallelogram-shaped faces (also known as lateral faces).

As it is known that the volume of a prism is obtained by multiplying the area of the base and the height, i.e.,

Volume = area of the base × height

Also,

Area of the base = length × breadth

So,

Volume = length × breadth × height

             = 10 × 4 × 3

             = 120 square inches.

Therefore, the volume of the rectangular prism is 120 inches².

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The complete question is as follows:

Find the volume of the rectangular prism whose length, breadth, and height are 10 inches, 4 inches, and 3 inches respectively.

Chad wants to order pizza for a party, and he can spend no more than $45.
He'll order 4 large pizzas and a $5 salad. How much can he spend on each
pizza if they are all the same price?
Choose two answers: one for the inequality that models this situation and
one for the correct answer.
A. Answer: $8 or less
B. Inequality: 5x + 4 < 45

C. Inequality: 4x + 5 < 45
D. Answer: $10 or less​

Answers

Answer:

Inequality: 4x+5<45, $10 or less

Step-by-step explanation:

Sallad costs $5. Therefore, the total cost of the pizzas is $40 ( $45-$5). Then since they are 4 pizzas, you find the quotient of ($40÷4)

In retailing there is a direct interaction with *
O producer
O
customer
O wholesaler
all of the above

Answers

I’m retailing there is a direct interaction with the answer is all of the above

The equation C = 5 9 F − 160 9 gives the relation between temperature readings in Celsius and Fahrenheit.

(a) Is C a function of F? Yes, C is a function of F. No, C is a not a function of F.

(b) What is the mathematical domain of this function? (Enter your answer using interval notation. If C is not a function of F, enter DNE.)

(c) If we consider this equation as relating temperatures of water in its liquid state, what are the domain and range? (Enter your answers using interval notation. If C is not a function of F, enter DNE.) domain range

(d) What is C when F = 71°? (Round your answer to two decimal places. If C is not a function of F, enter DNE.) C(71) = °C

Answers

Step-by-step explanation:

The question is wrong. The correct equation is :

[tex]C=\frac{5}{9}F-\frac{160}{9}[/tex]

We know that the equation gives the relation  between temperature readings in Celsius and Fahrenheit.

Therefore, giving that we know the value in Fahrenheit ''F'' we can find the reading in Celsius ''C''. This define a function C(F) that depends of the variable ''F''.

So for the incise (a) we answer Yes, C is a function of F.

For (b) we need to find the mathematical domain of this function. Giving that we haven't got any mathematical restriction, the mathematical domain of the function are all real numbers.

Dom (C) = ( - ∞ , + ∞)

For (c) we know that the water in liquid state and at normal atmospheric pressure exists between 0 and 100 Celsius.

Therefore the range will be

Rang (C) = (0,100)

Now, we need to find the domain for this range. We do this by equaliting and finding the value for the variable ''F'' :

For C = 0 :

[tex]0=\frac{5}{9}F-\frac{160}{9}[/tex] ⇒ [tex]F=32[/tex]

And for C = 100 :

[tex]100=\frac{5}{9}F-\frac{160}{9}[/tex] ⇒ [tex]F=212[/tex]

Therefore, the domain as relating temperatures of water in its liquid state is

Dom (C) = (32,212)

For (d) we only need to replace in the equation by [tex]F=71[/tex] and find the value of C ⇒

[tex]C=\frac{5}{9}F-\frac{160}{9}[/tex] ⇒

[tex]C=(\frac{5}{9})(71)-\frac{160}{9}[/tex]

[tex]C=\frac{65}{3}[/tex] ≅ 21.67

C(71) = 21.67 °C

a. Yes, C is a function of F.

b. Domain of the function is: ( - ∞ , + ∞)

c. Range of function C is: (0, 100)

the domain of function C is: (32, 212).

d. [tex]\mathbf{C(71) = 21.67^{\circ}C}[/tex]

Range and Domain of A Function

The domain of a function is the input value, while the range is the corresponding output value.

a. Given the equation of the function as, [tex]C = \frac{5}{9}(F) - \frac{160}{9}[/tex], this means that, the value of C is dependent on the value of F, therefore, the answer is, Yes, C is a function of F.

b. Since no mathematical restriction was stated, therefore:

Domain of the function is: ( - ∞ , + ∞)

c. Temperature of water in its liquid state ranges between 0 and 100°C, therefore:

Range of function C is: (0, 100)

To find the domain, substitute C = 0 and C = 100, respectively, into  [tex]C = \frac{5}{9}(F) - \frac{160}{9}[/tex].

Thus:

[tex]0 = \frac{5}{9}(F) - \frac{160}{9}\\\\F = 32[/tex]

[tex]100 = \frac{5}{9}(F) - \frac{160}{9}\\\\F = 212[/tex]

Therefore, the domain of function C is: (32, 212).

d. To find C when F = 71°, substitute F = 71° into  [tex]C = \frac{5}{9}(F) - \frac{160}{9}[/tex].

Thus:

[tex]C(71) = \frac{5}{9}(71) - \frac{160}{9}\\\\C(71) = \frac{65}{3} \\\\\mathbf{C(71) = 21.67^{\circ}C}[/tex]

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A 3-pound bag of carrots costs $11.52. What is the price per ounce?

Answers

Answer:

3.75

Step-by-step explanation:

Just divide it in the future!! :)

Answer:

$0.24

Step-by-step explanation:

There are 48 ounces in 3 pounds. Divide 48 by 11.52 to get the unit rate, and the unit rate is $0.24 per ounce

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