I can’t quite see the question. Mind taking a picture of it closer?
Answer:
g(x) = |x-3| -4
Step-by-step explanation:
to shift right by 3, subtract three from x inside the absolute value.
to shift down by 4, subtract 4 outside of the absolute value.
g(x) = |x-3| -4
The correct answer is Choice B: 53.0 feet.
If you draw a picture of the cross section, you will have a right triangle. The hypotenuse is 58 and one of the legs is 23.6. All you have to do is use the Pythagorean Theorem and solve for the missing side.
x^2 + 23.6^2 = 58^2
6(2x - 11) + 15 = 21
First step use distributive property on the left side to remove the parenthesis, to do this multiply 6 by each term inside the parenthesis:
12x - 66 + 15 = 21
Second step, simplify the left side by combining the like terms:
12x - 51 = 21
Third step, add 51 to both sides of the equation:
12x = 72
Last step, divide both sides by 12:
x = 72/12
x = 6
Answer:
<em>after 4seconds</em>
Step-by-step explanation:
Given the height, h , in feet, of the football above the ground after t seconds expressed by h ( t ) = − 8 t^2 + 32 t, the height of the ball on the ground is 0feet.
Substitute h(t) = 0 into the expression and calculate t;
h ( t ) = − 8 t^2 + 32 t
0 = − 8 t^2 + 32 t
8t² = 32t
8t = 32
Divide both sides by 8
8t/8 = 32/8
<em>t = 4s</em>
<em>Hence the football hits the ground after 4seconds</em>