Answer:
f(x)= 3x-4
f(-1)= 3*-1-4
f(-1)= 2-4
f(-1)= -2
f(x)= 3x-4
f(3)= 3*3-4
f(3)= 9-4
f(3)=5
f(x)= 3x-4
f(1)= 3*1-4
f(1)= 3-4
f(1)= -1
Step-by-step explanation:
Answer:
19 nails
Step-by-step explanation:
Let's first determine the z-score by using the formula:

Where x=5.03, μ=5, σ=0.03 and so:

We can now use a z-score table to determine that 1.00 is synonymous with 0.8413 meaning 84.13%. This means that 84.13% of the nails are less than or equal to 5.03 inches long. Therefore, since we know 100% = 1 in decimals we can determine that the length greater than 5.03 inches is 1-0.8413=0.1587. This means that 15.87% of the 120 nails are greater than 5.03 inches long.
Finally, we can determine how many nails are greater than 5.03 by determining what is 15.87% of 120 which is:

And so 19 out of the 120 nails are greater than 5.03 inches long.
Solve for w by simplifying both sides of the equation, then isolating the variable.
w=−4
Let's solve your equation step-by-step.
22=2(w+7)−4w
Step 1: Simplify both sides of the equation.
22=2(w+7)−4w
22=(2)(w)+(2)(7)+−4w (Distribute)
22=2w+14+−4w
22=(2w+−4w)+(14) (Combine Like Terms)
22=−2w+14
22=−2w+14
Step 2: Flip the equation.
−2w+14=22
Step 3: Subtract 14 from both sides.
−2w+14−14=22−14
−2w=8
Step 4: Divide both sides by -2.
−2w
/−2
=
8
/−2
Answer:
w=−4
4 grams sample will be left after 1 year
Step-by-step explanation:
The decay function for percentage decay is given by:

Here,
a is the initial value
r is the rate
x is the number of time periods
Given
Initial value = 100 grams
Rate = 6% = 0.06
Time = 1 year = 52 weeks
Putting the values in the formula

Hence,
4 grams sample will be left after 1 year
Keywords: Decay, percentage
Learn more about decay functions at:
#LearnwithBrainly
Answer:
C
Step-by-step explanation
This is very simple, 660/10