10 and 7 are the correct answers!
Answer:
if you are asking for the real number, the answer would be 45.21
Step-by-step explanation:
We simply multiply by 10 since we are given 1 as an exponent
Answer:
f(n) = - 0.5n + 6
Step-by-step explanation:
Because Vince cuts down his television watching at a steady pace, his situation models a linear function. As such, we can use slope-intercept form to write and predict his hours watching tv in n weeks.
Slope-intercept form is y=mx+b. In this case, we are choosing to use f(n) instead of y to show the number of hours he is watching tv. We are also choosing to use n weeks instead of x. So we have the form f(n)=mn+b.
We know that Vince starts out at watching 6 hours a week. This is our initial value known as the y-intercept and represented by b. As each week passes, he will decrease from the previous week by 30 minutes or -0.5 hours since 30 out of 60 minutes is 0.5. And since he is decreasing it should be a negative rate of -0.5 and is represented by m.
We substitute b=6 and m=0.5 into our form to get f(n)=-0.5n+6. Let's test week 1. After 1 week he should be down from 6 hours to 5.5 hours or 5 hours and 30 minutes. Let's substitute n=1.
f(n)=-0.5(1)+6=-0.5+6=5.5
We can substitute for any n week and find the amount.
Simplify both sides:
x
—- = -9
4
now isolate the variable (x):
x= -9 • 4
x= -36
Answer: d) 3 hours.
Step-by-step explanation:
Let x be the required number of hours for which the total fee charged by the companies the same.
Given: Peppy Pets charges a flat fee of $15 plus $3 per hour .
So Total charge = 15+3x ( in dollars)
Happy Hounds charges a flat fee of $21 plus $1 per hour.
So Total charge = 21+x ( in dollars)
When the total charge for both companies are the same, then
Hence, the correct option is d) 3 hours.
