Answer: The gradient of the line passing through is 3, thus the equation of the line becomes y=3x-4.
Step-by-step explanation: The parallel lines gradients that have similar gradients, so now we have the gradient of 3 because its similar to the other gradient. To get the equation of the line we use this equation: y=mx+c, we have to substitute the x and y to get the constant c.
5=3(3)+c
c= -4
y=3x+c
Answer:
see below
Step-by-step explanation:
1. yes
2. no, 4.82 x 10^4
3, no, 9.9 x 10^-4
4. no, 3.6 x 10^6
5. yes
6. no, 7.8 x 10^-4
Answer:
15) K'(t) = 5[5^(t)•In 5] - 2[3^(t)•In 3]
19) P'(w) = 2e^(w) - (1/5)[2^(w)•In 2]
20) Q'(w) = -6w^(-3) - (2/5)w^(-7/5) - ¼w^(-¾)
Step-by-step explanation:
We are to find the derivative of the questions pointed out.
15) K(t) = 5(5^(t)) - 2(3^(t))
Using implicit differentiation, we have;
K'(t) = 5[5^(t)•In 5] - 2[3^(t)•In 3]
19) P(w) = 2e^(w) - (2^(w))/5
P'(w) = 2e^(w) - (1/5)[2^(w)•In 2]
20) Q(W) = 3w^(-2) + w^(-2/5) - w^(¼)
Q'(w) = -6w^(-2 - 1) + (-2/5)w^(-2/5 - 1) - ¼w^(¼ - 1)
Q'(w) = -6w^(-3) - (2/5)w^(-7/5) - ¼w^(-¾)
Answer:
1 bag of apples would cost $5.92.
Step-by-step explanation:
All you have to do is take the 41.44 and divide it by 7 to see how much one bag would cost. I used a calculator and got $5.92.
Hope this helps!
y = −1/4x^2 + 4x − 19
1. Use x = -b/2a to find x.
x = -4/2(-1/4)
x = -4/(-1/2)
x = -4/1 • (-2/1)
x = 8/1
x = 8
2. Plug x into the function to find your vertex.
Replace every x you see in the function with 8 and do the math.
Take it from here.