Answer:
17 3/4
Step-by-step explanation:
Equation: (92 - 3*7)/(7-3)
PEMDAS so parenthesis first. Then multiplication so 7 times 3 is 21. For 7 minus 3 would be four. Like this: (92-21)/4
Subtraction: 71/4
Answer: 17 3/4
Answer: 2
Step-by-step explanation: 1/2 x 4 = 4/2 = 2/1 = 2.
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
Copy down the given function:
f(x)=3•2^x
Now replace both instances of x with -2:
f(-2) = 3*2^(-2). 1
Recall that 2^(-2) is the same as ------ = 1/4
2^2
Therefore, f(-2) = 3*2^(-2) = 3*(1/4) = 3/4
Remember that exponentiation has to be carried out before multiplication. That's why I did 2^(-2) before multiplying by 3.
Answer:
b
Step-by-step explanation:
i did the math for over an hour and got the same answer 25 times
