Answer:
D
Step-by-step explanation:
For a function in the form f(x) = x, we can say:
- the function f(x) = ax is a vertical stretch if a>1 and compress if 0<a<1
- the function -f(x) is the original, flipped over x-axis
<em>keeping the 2 rules in mind, we can say that</em>
<em>vertical stretch by a factor of 3 would make it f(x) = 3x</em>
<em>Then</em>
<em>flip over x-axis would make it f(x) = -3x</em>
<em />
answer choice D is right
Answer:
there were 200 children and 500 adults at the show
Step-by-step explanation:
7x+10y=6400
x+y=700
x=700-y
7(700-y)+10y=6400
4900-7y+10y=6400
-7y+10y=1500
3y=1500
y=500
x=700-y
x=700-500
x=200
Answer: $115.5
Step-by-step explanation:
The woman bought a coat for $99.95 and some gloves for $7.95. This means that the total amount of money that the woman would have paid for the coat without tax is
99. 95 + 7.95 = $107.9
If the sales tax was 7%, then the amount paid as sales tax would be
7/100 × 107.9 = 0.07 × 107.9 = $7.553
Therefore, the amount that she would pay to purchase the coat and the gloves is
107.9 + 7.553 = 115.453
= $115.5 rounded up to the nearest cent.
Answer:
Cos;
26 degrees
Step-by-step explanation:
Recall: SOH CAH TOA
Reference angle = y°
Adjacent side = 18 in.
Hypotenuse = 20 in.
We would apply the trigonometric function CAH since we are dealing with the Adjacent side (A) and the Hypotenuse (H). Thus:
Cos y° = Adj/Hyp
Cos y° = 18/20
Cos y° = 0.9
y° = cos^{-1}(0.9)
y = 25.8419328° ≈ 26 degrees (nearest whole degree)
The answers are:
Cos and 26 degrees
