Answer:
x =14
Step-by-step explanation:
14x+24=18x-32
Subtract 14x from each side
14x-14x+24=18x-14x-32
24 = 4x -32
Add 32 from each side
24+32=4x-32+32
56 = 4x
Divide each side by 4
56/4 = 4x/4
14=x
<span>a) We know that the correct answer will be the square root of 256 since the competition area is a square with an area of 256 meters. And since 10^2 = 100 which is less than 256, the answer has to be greater than 10. And since 20^2 = 400 which is greater than 256, the answer also has to be less than 20. Therefore the answer has to be between 10 and 20.
b) The last digit has to be either a 4 or a 6. The units digit is the only digit that will contribute to the units digit of the square. And 0^2 = 0, 1^2 = 1, 2^2 = 4, 3^2 = 9, 4^2 = 16, 5^2 = 25, 6^2 = 36, 7^2 = 49, 8^2 = 64, 9^2 = 81. Of the 10 possible digits, only the values 4 and 6 have a square that has an units digit of 6.
c) The square root of 256 based up (a) and (b) above has to be either 14, or 16. So the dimensions are either 14x14 meters or 16x16 meters.</span>
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:
