MATHEMATICS HIGH SCHOOL

F(x) = 3x + 2 g(x) = 2x^2 - 4x
h(x) = x^2 - x + 7

Find f[g(5)]

A. 92
B. 2
C. 30
D. 242

Answers

Answer 1
Answer:

Answer:

A

Step-by-step explanation:

Evaluate g(5), then use the value obtained to evaluate f(x) , that is

g(5) = 2(5)² - 4(5) = 2(25) - 20 = 50 - 20 = 30, then

f(30) = 3(30) + 2 = 90 + 2 = 92

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Why is it necessary to apply inverse operations on both sides of the equals l sign when solving an equations

Answers

Take this example (cause it's easy to explain)

10+5x=15x

To solve it we have to minus five on both side. We have to do this because we need to isolate the variable (in this case x) on the one side so we can divide and solve.

You would -5x (inverse from positive 5) from both sides on this because whatever you do to one side you have to do to the others to make it equal. In this case the answer would be x=1 (again cause it's easy lol.)

I hope this helps you!

Lcm of 120,5200 and 40​

Answers

Ok because what does this even mean

Recall, \pi is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, \pi=c/d. This seems to contradict the fact that \pi is irrational. How will you resolve this contradiction?

Answers

Though \pi =(c)/(d), it is an approximate value. As we get an approximate value and not a fixed one, there is no contradiction. Mathematically,
(c)/(d)=(2 \pi r)/(2r)=\pi.
Hence, no contradiction.
Yes, it is true that π = c / d . However, note here that c or the circumference is known by the equation c = 2πr. In finding the circumference, we take value of pi approximately, and hence there is no contradiction. However, even if the circumference is accurate, it will be an irrational number. Recall that an irrational number operated in any way results again into an irrational number. 

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

x ≈ 55.0°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos x = (adjacent)/(hypotenuse) = (OP)/(OQ)  = (5.1)/(8.9) , then

x = cos^(-1) ( (5.1)/(5.9) ) ≈ 55.0° ( to the nearest tenth )

A condition statement uses à as its notation ?

Answers

Let's say that there is a condition statement like :

If x then Y, it denoted as : x -> y

~x will  denotes negation of x
So inverse of above statement would be ~x -> ~y and contrapositive is ~y -> ~x

hope this helps
So is it True or False????

What is the best approximation of the solution to the system, to the nearest integer values?( , ) Graph of a System of Linear Equations. Line 1 is x plus 2y equals 10. Line 2 is 2x minus 3y equals negative 9. The lines intersect at about 1.7, 4.1.

x+2y=10 2x-3y=-9

Answers

Answer

Solution of the system:

x=2,y=4  or as ordered pair: (2, 4)

Explanation

Remember that the point of intersection of two lines is the solution of the system of linear equations. We know from our graph that our lines intersect at the point (1.7, 4.1), so the solution of our system of linear equations is (1.7, 4.1).

Now, to obtain the nearest integer of a decimal, we focus on the number after the decimal point: if the number is five or bigger than five, we add 1 to our integer; if the number is less than five, we keep the integer as it is.

For 1.7

The number after the decimal point is 7. Since 7 is bigger than 5, we add 1 to our integer, so the nearest integer of 1.7 is 2

For 4.1

The number after the decimal point is 1. Since 1 is less than 5, we keep our integer as it is, so the nearest integer of 4.1 is 4
1.7\approx2\n4.1\approx4\n\n(2,4)
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