Let f(x)= ax^2+bx+c and g(x)= ax^2-bx+c. If f(1) = g(1)+2 and f(2)=2, find g(2).

Answer:

Domain: 0 ≤ x ≤ 5

Range: 0 ≤ x ≤ 300

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

Range is the set of y-values that are outputted by function f(x).

We see that our x-values span from 0 to 5. Since both are closed dots, they are included in our domain:

[0, 5] or 0 ≤ x ≤ 5

We see that our y-values span from 0 to 300. Since both are closed dots, they are included in our range:

[0, 300] or 0 ≤ x ≤ 300

Answer:

b. 30

Step-by-step explanation:

Answer:

The ans is 30 .

Step-by-step explanation:

y + 150= 180 ( being co-interior angle)

y = 180-150

y= 30

Answer: The first step would be to divide both sides by 5/6 to isolate x.

Answer:

Your answer is: x = 7/10

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Hope this helped : )

Answer:

-51/7

Step-by-step explanation:

-51/7 cannot be simplified

Answer:

-7.28571428571

Step-by-step explanation:

This is the answer, mark brainliest if it helped and/or worked!

Answer:

That is hard. What grade are you in.

Step-by-step explanation:

Answer:

x = 5/6

Step-by-step explanation:

-12x=-10

Divide each side by -12

-12x/-12 = -10/-12

x = 5/6

Answer:

X = 0.8

Step-by-step explanation:

-12x=-10

divide -12 from both sides

x = 0.8

Answer:

x = -100

Hope this helps!

Answer:

x=−100 hope this helps :)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Add 18 to both sides.

Step 3: Multiply both sides by 5/(-1).

Answer:

-4/27

im confused on your answer choices, but this is what i could figure out.......

Answer:

x = -5

Step-by-step explanation:

-34 - 5x = 3x + 6

x = -5

Answer:

x=-5

Step-by-step explanation:

divide each side by a factor thay dont contain  variable

Answer:

I aso don't know yrr what can i do yrr

Answer:

Step-by-step explanation:

y-y = m(x - x)

I couldn't tell if the point was negative, so I'll do both

Positive                                      Negative

(6,6)  m= 1/3                             -(6,6)  m= 1/3

y-6 = 1/3(x - 6)                           y+6 = 1/3(x +6)

y-6 = 1/3x - 2                              y+6 = 1/3x + 2

y = 1/3x +4                                  y = 1/3x - 4

Answer:

2

Step-by-step explanation:

Answer:

C. 1

Step-by-step explanation:

Start at (0,3)

Slope is -3/1

X intercept would be 1

Answer:

i think the answer is A. -9

Step-by-step explanation:

i really hoped this helped

Answer:

2x⁵/y

Step-by-step explanation:

divide 12/6 to get 2

7-2=5

Answer: x=-6

Step-by-step explanation:

2x=-12

Divide by 2

X= -6

Answer:

in △abc, the sides ab and ac are produced to ∠p and ∠q respectively. if the bisectors of ∠pbc and ∠qcb intersect at a point o. prove that ∠boc = 90 - ½ ∠a.

The answer is 24 when using like terms and the order of operations.

The number would be -4 which is 8 less than the product of 2 and a number is equal to 16.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Let the number would be n

Given that 8 is less than the product of 2 and a number is equal to 16.

According to the statement of the question,

⇒ 8 - (n*2) = 16

⇒  -(n*2) = 16 - 8

Apply the subtraction operation,

⇒  -2n = 8

⇒ n = -8/2

Apply the division operation,

⇒ n = -4

Hence, the number would be -4 which is 8 less than the product of 2 and a number is equal to 16.

Learn more about Arithmetic operations here:

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Answer:

65 miles per hour

Step-by-step explanation:

r = d/t

1 : 5 = 0.2

r = 13 : 0.2 = 65

Given:

Length of each side of the box = 25  cm

Diameter of the ball = 9.55 inches.

To find:

Whether the ball will fit inside the box.

Solution:

The ball will fit inside the box if the diameter of the ball is less than or equal to length of each side of the box.

Length of each side of the box = 25  cm

We know that, 1 inch = 2.54 cm

Diameter of the ball = 9.55 inches.

                                 = (9.55 × 2.54) cm

                                 = 24.257 cm

Clearly, 24.257 cm < 25 cm. Diameter is approximately 1 cm shorter than the side of the box.

Therefore, the ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.

Hence, the correct option is C.

Answer:

B = DC - A

Step-by-step explanation:

A + B / C = D Multiply C

A + B = CD Subtract A

B = CD - B

Answer:

36

Step-by-step explanation:

Since E is the midpoint, AE and EB are equal. We can write this as such,

4x+6=10x-12 if we solve from here we get 6x=18. Simplify to get x=3. sub in three for  x in the AE equation, 4(3)+6 and solve. You'd get 18 as your answer. Double that to get the solution since AE= 1/2AB. 18*2= 36

AB=36

approximately 38,200..... i think ?

Answer:

The range is -4.2

Step-by-step explanation:

Least to Greatest:

-1.6

-1.5

-0.6

0.3

0.4

0.6

1.9

2.2

2.5

2.6

Subtract Least Number from Greatest Number

-1.6 - 2.6

=-4.2

The range of the data is 4.2

The range in statistics for a given data set is the difference between the highest and lowest values.

Given:

2.2, 0.3, -1.5, 2.6, 1.9, 0.4, 0.6, -1.6, 2.5, -0.6

Arranging the data in some order

-1.6 , -1.5, -0.6, 0.3, 0.4,  0.6, 1.9, 2.2, 2.5, 2.6

So, range

=highest data - lowest data

=2.6 - (-1.6)

=2.6+1.6

=4.2

Hence, the range is 4.2.

Learn more about range here:

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Answer: The number is 27

              The system of equations is:     7x - 2y = 0

                                                                 -9x + 9y = 45

Step-by-step explanation:

Let x represent the number in the tens place and y represent the number in the ones place.  x y

Then 10x + y = 3(x + y)

When the digits are reversed: 10y + x = 10x + y + 45

Simplify each of the above equations and then create a system of equations:

10x + y = 3x + 3y             →        7x - 2y  = 0

10y + x = 10x + y + 45      →       -9x + 9y = 45

9( 7x - 2y  =  0)    →      63x - 18y = 0

2(-9x + 9y = 45)   →     -18x + 18y = 90

                                     45x         = 90

                                                x  =  2  

Input x = 2 into either equation to solve for y:

7x - 2y  = 0

7(2) - 2y = 0

14          = 2y

          7 = y

Answer:

27

Step-by-step explanation:

Let's say that the number is 10x + y

Accordingly the number consists of digits three times the sum of it's digits, so 10x + y = 3(x + y)

10x + y = 3(x + y) -> Distribute the "3"

10x + y = 3x + 3y -> Combine like terms

7x = 2y -> Isolate "x"

x = 2y/7 --- (1)

With the information provided, the number (10x + y) when added to 45, equals the "interchanged" digits. In this case x and y represents digits, so interchanging them would be 10y + x;

10x + y + 45 = 10y + x -> Combine like terms

9x = 9y - 45 --- (2)

Substitute the first equation into the second, and solve for x and y. Given the digits we can determine the number =>

9(2y/7) = 9y - 45 -> Simplify

- 45y/7 = - 45 -> Multiply either side by 7

- 45y = - 315 -> Divide either side by - 45

y = - 315/ -45 = 7 (second digit)

x = 2(7)/7 = 14/7 = 2 (first digit)  

Solution: The number is 27

Answer:

C

Step-by-step explanation:

You can estimate to assume that it is about 512 gallons