Answer:
A) 
B) 
C) 
Step-by-step explanation:
So we have the equation:
Let's write this in function notation. Thus:
A)
To flip a function over the x-axis, multiply the function by -1. Thus:
Simplify:
B) To flip a function over the y-axis, change the variable x to -x. Thus:
Simplify:
C) A reflection over the line y=x is synonymous with finding the inverse of the function.
To find the inverse, switch x and f(x) and solve for f(x):
Switch:
Subtract 4 from both sides:
Divide both sides by 5:
And we're done :)
Answer:
<em>120°, 120°, 60°, 60°</em>
Step-by-step explanation:
m∠1 = 180° - 60° = 120°
m∠1 = m ∠2 (alternate interior)
m∠3 = 60° (vertical to given angle)
m∠4 = m∠3 (alternate exterior)
Answer:
<h2>
43.4° and 46.6°</h2>
Step-by-step explanation:
x - measure of angle
x + 3.2° - measure of its complementary angle
Complementary angles adds to 90°
x + x + 3.2° = 90°
2x = 90° - 3.2°
2x = 86.8°
x = 86.8°÷2
x = 43.4°
x+3.2° = 43.4° + 3.2° = 46.6°
Answer:
1/4
Step-by-step explanation:
total balls=7+4+4+5=20
probability of green marble=?
green marbles are 5 so,
Probability=number of favourable outcomes / number of all possible outcomes
total outcomes=20
green ball chances=5
=5/20
=1/4
Answer:
After 7.40 years it will be worth less than 21500
Step-by-step explanation:
This problem is solved using a compound interest function.
This function has the following formula:
Where:
P is the initial price = $ 34,000
n is the depreciation rate = 0.06
t is the elapsed time
The equation that models this situation is:
Now we want to know after how many years the car is worth less than $ 21500.
Then we do y = $ 21,500. and we clear t.
After 7.40 years it will be worth less than 21500
