Y=2x²-x+4
1) we have to find the slope of this line.
we have to calculate the first derivative of this function.
y´=4x-1
The slope in x=3 will be: m(3)=4(3)-1=12-1=11.
2)We have to find a point of this line:
if x=3; ⇒y=2(3)²-3+4=18-3+4=19; Our point will be (3,19)
2) point-slope form: we need a point (x₀,y₀) and the slope.
y-y₀=m(x-x₀)
We know the slope (m=11) and the point (3,19); therefore:
y-19=11(x-3)
y=11x-33+19
y=11x-14
Answer: A. y=11x-14
Answer:
sum: 2 6/7
Step-by-step explanation:
The first term is 2, and the common ratio is 0.6/2 = 0.3. This value is less than 1, so the series converges.
The sum is ...
S = a0/(1 -r) = 2/(1 -0.3) = 2/0.7
S = 2 6/7
Answer:
The installations at the Maumee branch would you expect to take more than 30 minutes is 10.
Step-by-step explanation:
Consider the provided information.
Let x is the installations at the Maumee branch take more than 30 minutes.
The work standards department at corporate headquarters recently conducted a study and found that 20% of the mufflers were not installed in 30 minutes or less.
Therefore, π=0.20
The Maumee branch installed 50 mufflers last month.
Thus, n=50
Mean of the distribution: μ=nπ
Substitute the respective values in the above formula.
μ=(50)(0.20)
μ=10
Hence, the installations at the Maumee branch would you expect to take more than 30 minutes is 10.
Answer:
Elimination:
-4x - 2y = -18 -4x - 2y = -18
x + 3y = 8 | ×4 ------> <u> 4x + 12y = 32 </u> +
10y = 14
y = 1,4
x + 3y = 8
x + 3(1,4) = 8
x + 4,2 = 8
x = 3,8
Answer:
option 4
Step-by-step explanation:
f(x) = 5x + 40
f(x = - 5) = 5 ( - 5) + 40
= - 25 + 40
= 15