Answer: c) 3
<u>Step-by-step explanation:</u>
Plug in y = -9 and the given x-value to see if it makes a true statement.
a) -4.5 falls in the piecewise function x < -3 --> y = -x
y = -x
-9 = -(-4.5)
-9 = 4.5 FALSE
b) -3 falls in the piecewise function -3 ≤ x ≤ -2 --> y = 2x
y = 2x
-9 = 2(-3)
-9 = -6 FALSE
c) 3 falls in the piecewise function x > -2 --> y = -x²
y = -x²
-9 = -(-3)²
-9 = -9 TRUE
d) 9 falls in the piecewise function x > -2 --> y = -x²
y = -x²
-9 = -(9)²
-9 = -81 FALSE
Answer:
Step-by-step explanation:
- log 2x + log (x - 5) = 2
- log (2x(x - 5)) = 2
- 2x(x - 5) = 10²
- 2(x² - 5x) = 100
- x² - 5x - 50 = 0
- x² + 5x - 10x - 50 = 0
- x(x + 5) - 10(x + 5) = 0
- (x - 10)(x + 5) = 0
- x = 10
- x = -5, this root is discounted as log should be positive.
Correct choice is 3.
We'll assume this is an arbitrary triangle ABC.
A) No, the sines of two different angles can be whatever they want
B) sin(B)=cos(90-B)
Yes, that's always true. The "co" in cosine means "complementary" as in the complementary angle, which adds to 90. So the sine of an angle is the cosine of the complementary angle.
C) No, the correct identity is sin(180-B)=sin B. Supplementary angles share the same sine.
D) Just like A, different triangle angles often have different cosines.
Answer: Choice B
9514 1404 393
Answer:
- s + a = 250
- 3s + 5a = 1050
Step-by-step explanation:
Let s and a represent the numbers of student and adult tickets sold. The system of equations that can be written from the given information is ...
s + a = 250 . . . . . . total of tickets sold
3s +5a = 1050 . . . dollar value of tickets sold
_____
The solution is (s, a) = (100, 150). 100 student tickets and 150 adult tickets were sold.
If you have 1 piece divided into 50 parts and take 19 parts away, your answer in decimal form will be (.38) The answer is .38
