2235 is a number that Hal could be thinking of because of the number of digits and the 3 being in the right spot.
Answer:
Take a look at the 'proof' below
Step-by-step explanation:
The graph of the function g(x) is similar to that of the function f(t). The local minimum, local maximum, absolute minimum, maximum etc... of 'x' is always the closest x-intercept of the graph of f(t).
Let's check if this statement is right. The two local minimum(s) of the function f(t) occurs at x = 2, and x = 6. The two local maximum(s) occur at 1/4 and 4. As you can see the maximum / minimum of the function g(x) is always an x-intercept, x = 3, x = 7.
For part (b) the absolute maximum value of the function f(t), is 8. The closest x-intercept is 9, which is our solution.
Answer:
Red = 10 cm, blue = 14 cm
Step-by-step explanation:
<em>Let the length of each red rod be </em><em>r </em><em>and each blue rod be </em><em>b</em>
<u>Then we have:</u>
<u>Multiply the first equation by 3 and the second one by 2:</u>
<u>Add the equations to eliminate one of variables:</u>
<u>Find the value of b:</u>
- 3*10 -2b = 2
- 30 - 2 = 2b
- 2b = 28
- b = 14 cm
Answer:
#1.---60% #2.---$12.60 per hour
Step-by-step explanation:
#1. Since It was originally $50 you have 50% already, so what I did was I multiplied 50 by 2. this got me 100 which is a simpler way to calculate by. 50 to 80 dollars is a $30 change, so multiply that by 2 and you get 60. 60 will be your percent of change. You can double check this by multiplying 50 by .60, the answer will be 30 and 50+30=80
#2 Since Tyler starts off with $12 per hour with a 5% increase you will need to multiply 12*.05 this will get you the answer of 0.6 you then need to add $12, since that was his original payment. 12+0.6=12.60, so his final payment would by $12.60 per hour
Answer:
The family's average rate of travel for the day was 59.0 MPH.
Step-by-step explanation:
From 10:15AM to 4:45PM, they travelled a distance of 383.5 miles and a total of 6 hours and 30 minutes.
There are 60 minutes in an hour. 30 minutes translates into 1/2 an hour or .5
So, 6.5 hours and a total distance of 383.5 miles.
Velocity (MPH) = Distance (in miles) / Time (in hours)
MPH means Miles Per Hour
Variables:
Velocity (MPH) = x
Distance (in miles) = 383.5
Time (in hours) = 6.5
Plug in the variables into the formula
x = 383.5 / 6.5
Divide
x = 59.0 MPH
