To find which of the following roots is between "8" and "7" we can calculate the root of which numbers result in 8 and 7. To do this we will power them by 2, this is done because power is the oposite operation to the root. Doing this gives us:

$\begin{gathered} 8^2=64 \\ 7^2=49 \end{gathered}$

So the root of 64 is 8 and the root of 49 is 7. We need to find the number that is between 49 and 64.

From the options the only one that qualifies is 52. The correct option is b.

3 0

1 year ago

Hey yall so im taking a test and imm very confused on hwo to find the letter n for the equation

kotegsom [21]

Answer:

n = -7,6

Step-by-step explanation:

n(n+1)+3=45

distributive property: a(b+c) = ab+ac

n²+n+3 = 45

n²+n -42 = 0

factor now

(n+7)(n-6) = 0

n = -7,6

8 0

4 years ago

Mr. Engen rented a car for 35.00 a day and 0.45 a mile . He had the car for 2 days and paid 166.75 . How many miles did he drove

liubo4ka [24]

d = days rented for

m = miles driven for

so the cost of the car is 35 bucks a day and 45 cents or $0.45 per mile driven, let's check it out for say a few days

1st day, 3 miles......................35(1) + 0.45(3)

2nd day, 2 miles..................35(2) + 0.45(2)

3rd day, say 5 miles............35(3) + 0.45(5)

dth day, and m miles..........35d + 0.45m

so the cost function could be written as C = 35d+0.45m.

now, we know for 2 days, d = 2, it cost 166.75 bucks, so

$\bf C=35d+0.45m\implies \stackrel{C}{166.75}=35(\stackrel{d}{2})+0.45m\\\\\\166.75=70+0.45m\implies 96.75=0.45m\\\\\\\cfrac{96.75}{0.45}=m\implies 215=m$

7 0

3 years ago