Answer:
8 and - 2
Step-by-step explanation:
let x be the larger number and y the smaller , then
x = 5y + 18 → (1)
3x + 4y = 16 → (2)
substitute x = 5y + 18 into (2)
3(5y + 18) + 4y = 16 ← distribute parenthesis and simplify left side
15y + 54 + 4y = 16
19y + 54 = 16 ( subtract 54 from both sides )
19y = - 38 ( divide both sides by - 19 )
y = - 2
substitute y = - 2 into (1)
x = 5(- 2) + 18 = - 10 + 18 = 8
then larger number is 8 and smaller is - 2
Answer:
c = 2.25
Step-by-step explanation:
f(x) is a continuous and differentiable function on the interval, so the Mean Value Theorem guarantees a value for c exists.
The average slope is ...
m = (f(4) -f(1))/(4 -1) = (24 -12)/3 = 4
The point at which the derivative is 4 is ...
f'(c) = 6/√c = 4
√c = 6/4
c = 2.25
Answer:
B. x = 10, y= 2
Step-by-step explanation:
10 plus 2 is 12 and when 2 is doubled and then subtracted from 10, the difference is 6
Answer:
angle 1 measures 54°
Step-by-step explanation:
opposite angles are congruent
the answer to this equation is 120
