Answer: Variant C
Step-by-step explanation:
f(x) = 3x^2 − 4
For finding f(-2) just replace x with - 2 like this:
f(-2)=3*((-2))^2-4=3*4-4=12-4=8
Answer:
8x - 14 = 5x + 34 (alternate exterior angles)
8x - 5x = 34 + 14
3x = 48
x = 48/3
x = 16
5y + 16 + 8x - 14 = 180 (linear pair)
5y + 16 + 8(16) - 14 = 180
5y + 16 + 128 - 14 = 180
5y + 130 = 180
5y = 180 - 130
5y = 50
y = 50/5
y = 10
∠ (8x - 14) = 114 [(8 × 16 -14)=114]
∠ (5x + 34) = 114 [(5 × 16 +34)=114]
∠ (5y + 16) = 66 [(5 × 10 +16)=66]
hope this helps you!
Answer:
-11
Step-by-step explanation:
Triangle ABC
SO,
AB = AC +BC
x + 8 = 2x -5 + (BD + DC)
x + 8 = 2x-5 + 10 +14
x + 8 = 2x + 19
2x - x = -19 + 8
x = -11
You can make an equation with this information using a variable for the number of days and solve for that variable. Here we can use d to represent days.
Ryan can build 4 desks in a day, so you could express his production as 4d.
Larry can build 4 desks in 2 days, so you could say he makes 2 desks in 1 day, expressed as 2d.
If Larry starts work one day before Ryan, he's made an extra 2 desks. To get 32 desks, you need to add together those 2 desks Larry made, however many desks Larry can make, and however many desks Ryan can make:
2 + 4d + 2d = 32.
Then just simplify and solve:
6d = 30
d = 5.
It'll take 5 days for them to make 32 desks. Hope this helps! Please rate this answer as brainliest if you liked it!! thank you!!!
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>