Answer:
5 and 25
Step-by-step explanation:
let the son's age be x then the father's age is x + 20
In 5 years
son = x + 5 and father = x + 20 + 5 = x + 25
Then
x + 25 = 3(x + 5) ← father is three times as old as son
x + 25 = 3x + 15 ( subtract x from both sides )
25 = 2x + 15 ( subtract 15 from both sides )
10 = 2x ( divide both sides by 2 )
5 = x and x + 20 = 5 + 20 = 25
si=on is 5 and father is 25
_C because multiply 2X times f(x) Kansas X out to make it zero Sony multiply -4 times X it will leave you with a positive four instead since X times X
If tangent to the curve y = √x is parallel to the line y = 8x, then this implies that the tangent to y = <span>√x has the same slope as the line y = 8x. In other words, the derivative (slope) function of y = √x is equal to the slope of the line y = 8x, which is m = 8. Hence y' = 8 once we find y'
y = </span><span>√x = x^(1/2)
Applying the power rule and simplifying, we find that the derivative is
y' = 1/(2</span>√x)
Now remember that y' must equal 8
1/(2<span>√x) = 8
Multiplying both sides by 2</span><span>√x, we obtain
1 = 16</span><span>√x
Dividing both sides by 16, yields
</span><span>√x = 1/16
But wait a minute, √x = y. Thus 1/16 must be the y-coordinate of the point at which the tangent to y = √x is drawn.
Squaring both sides, yields
x = 1/256
This is the x-coordinate of the point on the curve where the tangent is drawn.
</span><span>∴ the required point must be (1/256, 1/16)
GOOD LUCK!!!</span>
From the equation that was gotten, the value of the pecan pies and the cheesecake will be $9 each.
Based on the information given, the equations to solve the question will be:
9p + 8s = 153 ..... i
2p + 6s = 72 ..... ii
Multiply equation i by 2
Multiply equation ii by 9.
18p + 16s = 306
18p + 54s = 648
Subtract the equations
38s = 342
s = 9
Since 2p + 6s = 72
2p + 6(9) = 72
2p + 54 = 72
2p = 72 - 54.
2p = 18
p = 18/2 = 9
They're both $9 each
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Answer:
8
Step-by-step explanation:
Opposite angles are equal so
4x+12=44
4x=32
x=8
