MATHEMATICS HIGH SCHOOL

The sum of complementary angles is 90 degrees.
a. True
b. False

Answers

Answer 1
Answer:

TRUE! because they are 90 degrees

Answer 2
Answer:

Answer:

a. true

Step-by-step explanation:

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Consider the function y=x^2+5x-2 . What would happen to the graph if (x + 5) was substituted in place of the x?A. The graph would shift 5 units to the right.
B. The graph would shift down 5 units.
C. The graph would shift up 5 units.
D. The graph would shift 5 units to the left.
Consider the function y=x^2+5x-2 . What would happen to the graph if (x + 5) was substituted in place of the x?

A. The graph would shift 5 units to the right.
B. The graph would shift down 5 units.
C. The graph would shift up 5 units.
D. The graph would shift 5 units to the left.

Answers

"The graph would shift 5 units to the left" is the one among the following choices given in the question that describes what would happen to the graph if (x + 5) was substituted in place of the x. The correct option among all the options that are given in the question is the last option or the fourth option or option "D".

Answer:

Option: D is the correct answer.

          D. The graph would shift 5 units to the left.

Step-by-step explanation:

We know that the transformation of a function f(x) to f(x+a) is a shift of the function either to the left or to the right by a units depending on the sign of a i.e.  if a>0 then the shift is a units to the left

and if a<0 then the shift is a units to the right.

Here we have:

          y=x^2+5x-2 is converted to:

y=(x+5)^2+5(x+5)-2

Here we have a=5>0

            Hence, the shift is 5 units to the left.

Principal: $9,000, annual interest: 3%, interest periods: 12 , number of years: 13

Answers

Answer:

Step-by-step explanation:

P: the principal, amount invested

A: the new balance

t: the time

r: the rate, (in decimal form)

n: the number of times it is compounded.

Ex2:Suppose that $5000 is deposited in a saving account at the rate of 6% per year. Find the total amount on deposit at the end of 4 years if the interest is:

P =$5000, r = 6% , t = 4 years

a) simple : A = P(1+rt)

A = 5000(1+(0.06)(4)) = 5000(1.24) = $6200

b) compounded annually, n = 1:

A = 5000(1 + 0.06/1)(1)(4) = 5000(1.06)(4) = $6312.38

c) compounded semiannually, n =2:

A = 5000(1 + 0.06/2)(2)(4) = 5000(1.03)(8) = $6333.85

d) compounded quarterly, n = 4:

A = 5000(1 + 0.06/4)(4)(4) = 5000(1.015)(16) = $6344.93

e) compounded monthly, n =12:

A = 5000(1 + 0.06/12)(12)(4) = 5000(1.005)(48) = $6352.44

f) compounded daily, n =365:

A = 5000(1 + 0.06/365)(365)(4) = 5000(1.00016)(1460) = $6356.12

Emily earned $45.50 for 6 hours of work. Harrisonearned $24 for 3 hours of work. Carla earned $36
for 4 hours of work. Who earned the most money
PER HOUR?
:

Answers

Emily earned more

Step-by-step explanation:

45.50 x 6= 273

Which of the following x-values makes the inequality -4x + 9 ≤ -23 true?

Answers

Step-by-step explanation:

-4x<_-23-9

-4x<_-32

x>_-32/-4

x>_8

x=[8,positive infinity )

2a2b3 and -4a2b3 are like terms.
a. True
b. False

Answers

2a²b³ and -4a²b³ are like terms as they both have the same variables with the same degrees.

Your final answer is a. True.

Relative minimum: the point on the graph where the interval changes from A. Increasing B. Decreasing C. Input D. Output

Answers

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:
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