Match each equation on the left with the number and type of its solutions on the right.

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The perfect square of the given expression can be created by adding 36 to the expression, then the expression will reduce to,

(x-6)² = x² - 12x + 36

Hence, the correct option is C.

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Answer:

The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.

Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.

We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.

We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.

Solving for "h", we get h = LSA / (s1+s2+s3)

For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20

Answer:

I think it's A, if you just subtract 25 from each top # you should get the right one

edit; yah it's A

Answer:

B is the correct answer

Step-by-step explanation:

Look at the graph. For every day, there should be 25 less containers of peanuts than popcorns. Let X represent popcorns. Everyday, X - 25 should be your amount of peanut containers.

Only A and B works, so now just add the total amount of containers for both peanuts and popcorns.

225 + 200 + 150 + 300 + 200 + 175 + 125 + 275 = 1650

Only B matches the description of 1650 total containers. So, B is your answer.

Answer:

$24,992

Step-by-step explanation:

The equation for simple interest is I = PRT where I is the interest earned, P is the principal deposited/borrowed, R is the rate as a decimal, and T is time in years.

I = (17,600)(0.084)(5)

I = 7,392

The total amount that must be repaid is the interest + the principal:

7,392 + 17,600 = 24,992

Please let me know if you have questions

Answer:

ok

Step-by-step explanation:

I think

Answer:

Step-by-step explanation:

36x^3 - 81x

9x(4x^2 - 9)

9x(2x - 3)(2x + 3)

She is right

Answer: 1324 in^2

Step-by-step explanation:

Answer:

28 sets

Step-by-step explanation:

Because 10x3=30+73=103 then 103+200=303 keep that in mind then you    

                     ^

                 3 sets

Do 549-303=246=25 sets then 25 sets+3sets=28 sets

Answer:

Inequality: 10s + 273 ≥ 549

Answer: s ≥ 27.6

Step-by-step explanation:

Have a good day :)

Answer:

(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)

Step-by-step explanation:

Very clear deck :

n1 = 38

x1 = 89.2

s1 = 3.1

Sure seal

n2 = 37

x2 = 92.4

s2 = 3.8

Confidence interval for difference in sample means :

(X1 - X2) ± margin of error

(X1 - X2) ± Tcritical * sqrt(s1²/n1 + s2²/n2))

Using the degree of freedom calculator ; df = 70

Margin of Error : Tcritical * sqrt(s1²/n1 + s2²/n2))

Tcritical at 90% confidence interval, df = 70 = 1.688

Margin of Error = 1.666 * sqrt(3.1²/38 + 3.8²/37)

Confidence interval :

(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)

Answer:

M < or = -20

Step-by-step explanation:

Brainlist please

Answer:

Four tenths

Step-by-step explanation:

You are correct. The dot is on 0.4. the 4 is in the tenths place, so four tenths.

Answer:

Add -62 and 4

Step-by-step explanation:

Step-by-step explanation:

-62+4=-20

-58=-20

58=20

Answer:

1) x- y = 8

x + y = 12

eliminate one variable by adding the equations

2x = 20

divided by 2 on both sides

x = 10

substitute the value of x in the equation 1

10 - y = 8

-y = 8- 10

y =2

[x , y]

[10 , 2]

2) 2x - y = 4

3x + y = 6

eliminate one variable by adding the equations

5x = 10

x = 2

substitute the value of x in the equation

2(2) - y = 4

4 - y = 4

y = 0

[x ; y]

[2; 0]

3) x + 2y = 10

x + 4y = 14

multiply equation 1 by - 1

-x -2y = -10

x + 4y = 14

eliminate one variable by adding the equations

2 y = 4

y = 2

substitute the value of y in the equation 1

x + 2(2) = 10

x + 4 = 10

x = 6

[x ; y]

[6 ; 2]

4 ) 3x + y = 9

y = 3x + 6

simplify the expression

3x + y = 9

- 3x + y = 6

eliminate one variable by adding the equations

2y = 15

y = 15/2

substitute the value of y in equation 1

3x + 15/ 2 = 9

3x = 3/2

x = 1/2

[x ; y]

[1/2 ; 15/ 2]

5) 4x + 5y = 15

6x - 5y = 18

eliminate one variable by adding the equations

10 x = 33

× = 33/10

substitute the value of x in equation I

4 (33/10) + 5y = 15

66/5 + 5y =15

5y = 9/5

y = 9/25

[x ; y]

[33/10 ; 9/25]

6) 5x = 7y

x + 7y = 21

in equation I move the variable to the left

5x - 7y = 0

x + 7 y = 21

eliminate one variable by adding the equations

6x = 21

x = 7/2

substitute the value of x in the equation

5(7/2) = 7y

35/2 = 7y

5/2 = y

[x ; y ]

[7/2 ; 5/2 ]

The required interest earned on $5,750 deposited into savings account for 3 1/2 years at an annual interest rate of 4.5% is $905.63.

Principal amount (p) = $ 5750, Rate = 4.5%
Tenure or time = 3 1/2 = 3.5 years. Interest earned to be determined.

Interest is the outlay you pay to borrow money. Interest is often deliberated as an annual percentage of a loan amount.

Here,
[tex]Interest = principle*rate*time[/tex]
Interest = 5750 * 4.5%*3.5
interest = 5750*0.045*3.5
             =  2587.75*3.5
             =  905.63
Intrest earned = $905.63 against $5,750 deposited into savings account for 3 1/2 years.

Thus, the required interest earned on $5,750 deposited into savings account for 3 1/2 years at an annual interest rate of 4.5% is $905.63.

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Answer:

(gof)(x) = x² + 2x + 1

Step-by-step explanation:

You can solve this by plugging  f into g and finding the result:

(gof)(x) = f(x)²

= (x + 1)²

= x² + 2x + 1

Answer:

d

Step-by-step explanation:

please mark as brainliest if correct

thank you

have a great day/night

:)

Answer:

Step-by-step explanation:

The length of the strip is equal to perimeter of the kitchen.

Cost of the strip is:

Answer:

Imma guess around 350 cubic inches

Step-by-step explanation:

I'm just going off of my hand compared to my basketball

Answer:

About 433.526 inches^3

Step-by-step explanation:

Goal: Calculate the volume of a Basketball as accurately as possible. Objective 1: Calculate the volume of a basketball.

Step One: Find the radius of the basket ball inflated at 8 PSI. To do this we used a string to measure the circumference of the basket ball arriving at a measurement of 29 inches. Next we inserted that number into the formula C = 2πR where C= circumference and R= Radius. We found that where C= 29inches, R= 4.615 inches.

Solve with Volume of a ball or sphere = 4/3*pi*radius

Answer:

For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.

(6, 8)

Step-by-step explanation:

please mark this answer as brainliest

Answer:

10

Step-by-step explanation:

Answer:

The answer is 23 chocolates

Step-by-step explanation:

You do 5 times 5 for her eating 5 chocolates a day for 5 days to get 25 and then you take 48 and subtract it by 25 and you get 23

Answer:

C) It will not change

Hope this helps! :)

Answer:

Y=-55x + 600

Step-by-step explanation:

Answer:

66 students prefer the zoo

Step-by-step explanation:

I got it correct :)

Answer:

A) Yes; AA Similarity

Step-by-step explanation:

Yes; AA Similarity

Answer:

Yes you can.

Step-by-step explanation:

Multiply length x width.

Other:

If you want me to find the exact answer, it is not currently possible as you haven't given me any dimensions.

Answer:

D

Step-by-step explanation:

This is a pythagoream thereom question, the area of a square can be found by multiplying the sides. All the sides of a sqaure are the same so we are basically sqauring the side lengths. That is where the [tex]BE^{2}[/tex] and [tex]BH^{2}[/tex] come from. The problem tells us that the area of the two small squares are equal to the one bigger square. And the area of the bigger sqaure can be found by squaring that side EH. So [tex]BE^{2}[/tex]+[tex]BH^{2} =EH^{2}[/tex].

Answer:

≈4776

Step-by-step explanation:

r=78/2

r=39

A=3.14r^2

A=3.14(39)^2

A=3.14*1521

A≈4776

Hope this helps :)