Answer:
a) 12x - 48 or 6(2x - 8)
b) 18x - 48 or 6(3x - 8)
Step-by-step explanation:
A small box holds 6 eggs
A large box holds 12 eggs.
Hina buys x small box of eggs
Hina also buys (x-4) large box of eggs
a) Total number of eggs in the large box by Hina = (x-4)12
= 12x - 48
= 6(2x - 8)
b) Total number of eggs bought by Hina = (x) 6 + (x-4)12
= 6x + 12x - 48
= 18x - 48
= 6(3x - 8)
Answer:
28 meters cubed.
Step-by-step explanation:
Since we know that the volume of a sphere is 4/3 the volume of a cylinder, we can multiply 21*4/3. 21*4 will equal 84 and 84/3 would be 28. So the volume of the sphere would be 28 meters cubed.
Answer:
k=24
Step-by-step explanation:
The tangent of the function f at x=a, can be found by differentiating f w.r.t. x and then replacing x with a.
f=-x^2+8x+20
Differentiating both sides:
f'=(-x^2+8x+20)'
By sum rule:
f'=(-x^2)'+(8x)'+(20)'
By constant multiple rule:
f'=-(x^2)'+8(x)'+(20)'
By constant rule:
f'=-(x^2)+8(x)'+0
By power rule:
f'=-2x+8
f' at x=a is -2a+8
This is the slope of any tangent line to the curve f.
The slope of g is 4 if you compare it to slope intercept form y=mx+b.
So we gave -2a+8=4.
Subtracr 8 on both sides: -2a=-4
Divide both sides by -2: a=2
The tangent line to the curve at x=2 is y=4x+k.
To tind y we must first know the y-coordinate of the point of tangency.
If x=2, then
f(2)=-(2)^2+8(2)+20=-4+16+20=12+20=32
So the point is (2,32).
g(x)=4x+k and we know g(2)=32.
This gives us:
32=4(2)+k
32=8+k
k=32-8
k=24
Answer:
5.08 * 10^8
Scientific notation requires that the number be written as a number between one and ten multiplied by the appropriate power of ten. In other words how many times must you multiply 5.08 by 10 in order to get 508,000,000? the answer is eight times so the result is 5.08 * 10^8
Step-by-step explanation:
Answer:
x = -(8/5) or -(
)
Step-by-step explanation:
-5x+12=20
-5x=20-12
-5x=8
x = -(8/5) or -()
