MATHEMATICS HIGH SCHOOL

How to evaluate this function
F(x+5) using this expression:F(x)=3x-4

Answers

Answer 1

Answer:

Answer: 3x+11

Step-by-step explanation:

f(x) = 3x - 4

f(x + 5) = 3(x + 5) - 4 = 3x + 15 - 4 = 3x + 11

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Isoke is solving the quadratic equation by completing the square. 10x2 + 40x – 13 = 0 10x2 + 40x = 13 A(x2 + 4x) = 13 What is the value of A?

Answers

Answer:

A = 10

Step-by-step explanation:

We have given that : A quadratic equation $10x^2+40x-13=0$

another equation $A(x^2+4x)=13$

To find: The value of A

Solution: Taking the quadratic equation $10x^2+40x-13=0$

and try to reduce this equation in form of another equation

$10x^2+40x-13=0$ ⇒ $10(x^2+4x)=13$

Comparing with another equation $A(x^2+4x)=13$

we get that 10 takes the place of A

which implies value of A = 10

I hope this helps you

10x^2+40=13

10 (x^2+4)=13

A=10

Show that 4(a + 3) - 3(a - 2) = a + 18

Answers

4(a + 3) - 3(a - 2) = a + 18 4a+12-3a+6=a+18 a+18=a+18 true

Brooke has set up 70 chairs in equal rows for the class talent show.But,there is not room for more than 20 rows. What are the possible number of rows that brooke could set up?

Answers

She can not fit more than twenty rows in the class so anything equal to twenty or less (not including zero or negative numbers) would be fine. We don't have a limit for how many chairs in a row so I'm answering assuming that is not a problem so 20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2, or 1 row(s) would be possible

Is (−5,−8) a solution of y>3x+6

Answers

Answer: Yes the point (-5,-8) is a solution

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

Explanation:

The point (-5,-8) means x = -5 and y = -8 pair up together.

Let's plug those values into the inequality

y > 3x+6

y > 3(-5)+6 .... replace x with -5

-8 > 3(-5)+6 ... replace y with -8

-8 > -15+6

-8 > -9

The last inequality is true. The value -8 is larger than -9 since -8 is to the right of -9 on a number line. Stuff on the right is larger than stuff on the left.

Since the last inequality is true, this means the first inequality is true when (x,y) = (-5,-8). Therefore (-5,-8) is a solution.

What is the square root for √84?
Simplified and the non simplifed one

Answers

To simplify the square root, find the prime factorization of the number within the square root:

$84 = 7 * 12$

$7 * 12 = 7 * 4 * 3$

$7 * 4 * 3 = 7 * 2 * 2 * 3$

$√(84) = √(2 * 2 * 3 * 7)$

Take any number that is repeated twice within the prime factorization, and move it outside of the root:

$√(2 * 2) = 2$

$√(2 * 2 * 3 * 7) = 2 √(3 * 7) = \boxed{2 √(21)}$

The simplified form of √84 will be 2√21.

The non-simplified form is found by putting the term into the calculator:

$√(84) = \boxed{9.166}$

Rounded to the nearest thousandths place, the non-simplified form of √84 will be 9.166.

•Simplified Square Root for √84 is 2√21
√4*21=√84.
Now extract and take out the square root √4 * √21. Root of √4=2 which results into 2√21

•Determine the square root.
The square root of eighty-four √84 = 9.16515138991

What is the cube root of 27x^18?