The choice which describes the solution is; The solution is 5, which represents the number of miles she runs each day.
<h3>Word problems</h3>
According to the task content;
- The total distance covered running and cycling per day is; 20miles
- Additionally, she cycles a total of 105 miles each week.
From the statement above; it follows that;
The number of miles she cycles per day since 7 days make a week is;
Hence, it follows that the equation; (15+r) = 20 represents the daily distance covered by cycling and running.
On this note, it follows that;
Hence, The solution is 5, which represents the number of miles she runs each day.
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Answer:
The weekly sales must be $12,600
Step-by-step explanation:
if their pay is the same, the equations have to be equal
amelia = jayden
185 +.095x = 311 +.085x
subtract .085x from each side
185 +.095x-.085x = 311 +.085x-.085x
185+.01x = 311
subtract 185 from each side
185-185+.01x = 311-185
.01x = 126
divide by .01
.01x/.01 = 126/.01
x = 12600
Answer:
The slope is undefined
Step-by-step explanation:
Slope (m) = infinity (undefined)
θ = π = 90°
2
distance (d) = 2
ΔX = 0
ΔY = 2
Answer: -70
Step-by-step explanation: 2-3^2x4x2
Answer: Choice B. k(h(g(f(x))))
For choice B, the functions are k, h, g, f going from left to right.
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Explanation:
We have 4x involved, so we'll need f(x)
This 4x term is inside a cubic, so we'll need g(x) as well.
So far we have
g(x) = x^3
g( f(x) ) = ( f(x) )^3
g( f(x) ) = ( 4x )^3
Then note how we are dividing that result by 2. That's the same as applying the h(x) function

And finally, we subtract 1 from this, but that's the same as using k(x)

This leads to the answer choice B.
To be honest, this notation is a mess considering how many function compositions are going on. It's very easy to get lost. I recommend carefully stepping through the problem and building it up in the way I've done above, or in a similar fashion. The idea is to start from the inside and work your way out. Keep in mind that PEMDAS plays a role.