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>
You can use this formula <span>P(AorB) = P(A) + P(B) - P(AandB)
Given:
35 LG (14 F & 21 M)
44 SB (28 F & 16 M)
Req:
- the probability that it is a female (F) or a sky blue (SB)
Sol:
</span>P(F or SB) = P(F) + P(SB) - P(F and SB)
= [(14 F + 28 F)/(35 + 44)] + [(44 SB)/(35 + 44)] - [(28 F)/(35 + 44)]
= 53.16 + 55.70 - 35.44
= 73.42%
You have to deduct 28 female parakeets from 44 sky blue parakeets because the 28 parakeets are already accounted for in the female parakeets. You can also think of how many ways you can choose a female parakeet and a sky blue parakeet. Add all female parakeets (14 + 28) = 42. Sky blue parakeet equaled to 44. Minus the 28 female parakeets included in the sky blue parakeet to avoid double counting. 42 + 44 - 28 = 58 divided by 79 (35 + 44) total parakeets = 73.42%
16x - 8 can be 8(2x - 1)
The distributive property
hope this helps
Answer:
9x3 – 8x2
Step-by-step explanation:
Simplify signs:
8x2 - 5x3 - 4x2 + 9x3
Combine like terms:
(8x2 - 4x2) + (9x3 - 5x3)
Answer:
The answer is option (b), y=-5/2x+4
Step-by-step explanation:
The slope intercept form is a way of expressing the equation of a straight line; where there are two variables that vary in a linear form. The equation is always of the form; y=mx+c
Where;
- y and x represents the variables on the y and x axis respectively
- m is a real number representing the slope
- c is also a real number representing the y-co-ordinate, where the line intercepts the y-axis
Solving for y in 10x+4y=16
(4y)/4=(-10x)/4+(16/4)
The answer is y=-5/2x+4, option (b)