Answer:
Range tells you how high and low the graph of this parabola goes in the “y” (vertical) directions.
1. We can see that the parabola peaks on the y-axis at y = 4. That’s as HIGH as it goes.
2. We also see that both sides of the parabola descend to the level of y = -7. That’s as LOW as it is shown to go.
So putting these together, we say the Range is given by:
-7 <= y <= 3
AMBIGUITY WARNING:
Because the two branches of the parabola go fall right down to the edge of the picture boundary, it’s UNCLEAR whether the parabola truly stops at y = -7 or CONTINUES on (to negative infinity).
In THAT case, the RANGE simplifies to:
Y <= 4
Done.
Step-by-step explanation:
Complementary angles are those angles whose sum is 90 degree.
The measurement of two complementary angles are
There sum have to be 90 degree. That is
Combining like terms ,
Moving 20 to right side
Dividing both sides by 5
So the measurement of the angles are
Simplest form of 12/15 is 4/5
To simplify the fraction, you need to divide both numerator (12) and denominator (15) by a number that goes into both numbers which is 3. You then end up with your fraction
Answer:
The solutions are -3 and -1
Step-by-step explanation:
∵ y = -x² - 2x + 8
∵ y = 2x + 11
∴ -x² - 2x + 8 = 2x + 11
∴ -x² - 2x - 2x + 8 - 11 = 0
∴ -x² - 4x - 3 = 0 ⇒ divide both sides by -1
∴ x² + 4x + 3 = 0
∴ (x + 3)(x + 1) = 0
∴ x + 3 = 0 ⇒ x = -3
∴ x + 1 = 0 ⇒ x = -1
∴ The solutions are -3 and -1
2(10)+5 = 25. The answer is A
