Given the parent functions f(x) = 3x + 2 and g(x) = 5x − 10, what is g(x) − f(x)?

Answers

Answer 1

Answer: Hello,

g(x)-f(x)=5x-10-(3x+2)=2x-12
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Use Gaussian elimination to solve the following system of linear equations -2x_1+3x_2 + x_3 = 2 -3x_1+4x_2 + 2x_3 = 2 x_1-5x_2+4x_3 = -9 -2x_1+4x_2-4x_3 = 8

Sin78 ×cos42+cos78×sin42 evaluate without the use of a calculator

Answers

sin a * cos b + cos a * sin b=sin (a+b)

sin 78 * cos 42 + cos 78* sin 42=sin (78+42)=sin 120=sin(180-120)=
sin 60=√3 / 2

Answer: sin 78 * cos 42 + cos 78* sin 42=√3 / 2

In basketball, Shaquille makes 40% of his free throw attempts. He goes to the free throw line to shoot one-and-one (if he makes the first shot, he gets to shoot one more). He scores 1 point per free throw. What is the expected value of the number of points he will score?

Answers

This question is a little bit tricky. Anyway, the best answer to the question would be 2 points. The expected value of the number of points he will score would be two points in every successful free throw attempt he makes. It just has a probability of .40 - which means that ,say, in 10 free throw shots, there's a tendency he will only make 4 of them.

Answer:

4 he makes 4 shots.

Step-by-step explanation:

if there are 40% and his shots equal 1 the answer is 4.

57 61 50 54 54 54 56 54 61 54 48 49 42 51 61 57 68 65 50 51 60 52 57 51 52 47 56 62 69 58 49 56 55 55 43 64 57 64 46 55 51 55 46

Answers

What exactly is the question?

Answer:

What is the question

Step-by-step explanation: 23 45 67 89 90 78 56 45 67 54 34 43 21 212 12 34 5 6 80 90 87 65 56 78 78 98 89 28 92 19 10 20 30 40 50 60 70 80 90 100 10 9 8 7 6 5 4 3 2 1

Good luck

Which quadratic function has one real solution?A.0 = 2(x + 7)(x – 5)
B.0 = (x – 3)(x – 3)
C.0 = 2.4(x – 2)(x + 2)
D.0 = (x – 2)(x – 1)

Answers

Hello,

B; (x-3)² solution 3 multiplicity 2
others have two roots.

Answer:

The answer is B (0 = (x – 3)(x – 3))

Solve the system of linear equations by graphing.2x + 3y = 16.9

5x = y + 7.4

What is the solution to the system of linear equations? Round to the nearest tenth as needed.

Answers

Put both of those equations into slope intercept form (in order to be typed into the graphing calculator).

2x + 3y = 16.9
3y = -2x + 16.9
y = (-2/3)x + 16.9/3

5x = y + 7.4
5x - 7.4 = y

So in the graphing calculator,
Y1 = (-2/3)x + 16.9/3
Y2 = 5x - 7.4

Then find the point of intersection and the x value of that would be the solution.
You get the coordinate (2.3, 4.1). So x = 2.3, y = 4.1

Taking into account the definition of a system of linear equations, the solution to the system of linear equations is x=2.3 and y=4.1

System of linear equations

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

This case

In this case, the system of equations to be solved is

$\left \{ {{2x+3y=16.9} \atop {5x=y+7.4}} \right.$

There are several methods to solve a system of equations, and it is decided to solve it using the graphical method, which consists of representing the equations on a graph, in the same coordinate system. The intersection of the lines representing the equations is the solution of the system.

In this case, the graph is observed in the attached figure, where it can be seen that the intersection of both lines is the point (x,y)= (2.3,4.1).

Finally, the solution to the system of linear equations is x=2.3 and y=4.1

Learn more about system of equations:

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The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y^4 + 16y^3 + 48y62 cubic units. Which could be the base area and height of the prism?

Answers

If that's the volume, then the base and height could be anything that multiply together to get that. It could be as simple as pulling out common factors like 16y^2.

16y^2(y^2 + y + 3)

The base area could be 16y^2 and the height could be y^ + y + 3.

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