MATHEMATICS HIGH SCHOOL

Let f(x)=7x3−2x−12and g(x)=−3x3−8x2+10xWhat is the function rule for (f+g)(x) ?

A. (f+g)(x)=4x6−8x2+12x−12

B. (f+g)(x)=4x6−8x2+8x−12

C. (f+g)(x)=4x3−8x2+8x−12

D. (f+g)(x)=4x3−12x2+8x−12

Answers

Answer 1
Answer: You just combine add like terms in the equations so your answer would be C. 

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Answers

Answer:

thats easy you don't need help

Step-by-step explanation:

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.X + 3y = 9
 

3x –y =  7

Answers


Let's write both equations in the standard form of  [ y = mx + b ],
and then see what we can tell about their graphs.

First equation:             x + 3y = 9
Subtract 'x' from each side:  3y = -x + 9
Divide each side by  3:            y = -1/3 x + 3
This line crosses the  y-axis  at  y=3,  and it has a slope of  -1/3 .

Second equation:            3x - y = 7 
Subtract  3x  from each side:  -y = -3x + 7
Multiply each side by  -1 :        y = 3x - 7
This line crosses the y-axis at  y=-7, and it has a slope of  3 .

-- The two lines have different slopes, so they're not parallel. 
They must intersect somewhere.
-- They're not the same line, so they can't 'intersect' everywhere.
-- They have slopes of  -1/3  and  3 .    Their slopes are negative reciprocals,
so the lines are perpendicular.

All of this says that the two equations can't have no solution, and they can't have
infinitely many solutions.  They must have one and only one solution.
I guess that  means that it's our job to find it now.

============================================

For each equation, the "mx + b" form is equal to 'y' .  Since these two things are
equal to the same thing, they must be equal to each other, and we can write:

                                   -1/3 x + 3  =  3x - 7

Multiply each side by  3 :  -x + 9  =  9x - 21

Add 'x' to each side:                9  =  10x - 21

Add  21  to each side:           30  =  10x

Divide each side by  10 :       3  =  x

The intersection/solution is some place where  x=3 .
Let's put that back into the first equation:

                                         x + 3y = 9

                                         3 + 3y = 9

Subtract  3  from each side:   3y = 6

Divide each side by  3 :            y = 2

And there's your solution:      x = 3
                                               y = 2
On the graph, the two lines intersect at the point  (3, 2) .

We used the first equation to get part of the solution, so we can't use
the same equation to check the solution.  We'll put our solution into the
second equation, and see whether it checks there:

                                       3x - y  =  7

                                    3(3) - (2) = 7

                                       9  -  2  =  7

                                           7     =  7             yay !

The two equations have one and only one solution,
and it is definitely    x = 3,   y = 2 .

Substitution or Elimination

im using substitution

1. solve for variable for one of the equation

x + 3y = 9

x = 9 - 3y

2. Substitute the variable into one of the equation

3 (9-3y) - y = 7

27 - 9y - y = 7

27 - 10y = 7

-10y = 7 - 27

-10y = -20

y = 2

3. sub y = 2 into any equation to find x

3x - 2 = 7

3x = 7 -2

3x = 5

x = 5/3

X+3(2) = 9

x + 6 = 9

x = 9-6

x= 3

therefore there are two solutions x = 3 and x= 5/3

Name the line and plane shown in the diagram.

Answers

the correct answer would be c

the answer is PQ and plane SP

An empty box is shaped like a rectangular prism. The box has a base area of 9/10 square foot and a height of 1/3 foot. How much packing material is required to fill the box?a. 3/10 ft^3
b. 1/10 ft^3
c. 1/3 ft^3
d. 2/3 ft^3

Answers

The total amount of packing material required to fill the box is 3/10 cubic feet and this can be determined by using the formula of the volume.

Given :

  • An empty box is shaped like a rectangular prism.
  • The box has a base area of 9/10 square feet and a height of 1/3 feet.

The following steps can be used in order to determine the total amount of packing material required to fill the box:

Step 1 - The formula of the volume can be used in order to determine the total amount of packing material required to fill the box.

Step 2 - The formula of the volume of the box is given below:

V = A * H

where A is the area of the box and H is the height of the box.

Step 3 - Now, substitute the values of A and H in the above expression.

V = (9)/(10) * (1)/(3)

V = (3)/(10)\;{\rm ft^3}

Therefore, the correct option is a).

For more information, refer to the link given below:

brainly.com/question/25834626
Since we already know the base area, we simply have to multiply it by the height to get the volume of the box (how much packing material it can contain)

9/10 x 1/3 

9     x     1   =  3
10          3       10       (I cancelled the 9 and 3 and made them 3 and 1                                                          respectively)
The answer is 3/10 ft³

1. What is the value of the digit 7 in the number 176 354?​

Answers

Answer:

tens of thousands

Step-by-step explanation:

Answer:

7 thousand because in word it is 0me hundred and seventy six thousand three hundred and fifty four

A square has an area that is less than 100m^2. What is a reasonable range for the graph of the square side?A. 0< y < 100

B. 0< y < 50

C. 0 < y < 25

D. 0 < y< 10

Answers

The area of the square is obtained by taking the square of the length of one side. Since it is said that the area of the square is less than 100 m^2, taking the square root of that where: sqrt (100) = 10, the side of that square should be less than 10 as well. Among the choices, D. 0 <y <10 (where y = length of side of square) is the correct answer.
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