Answer:
23, 25, 27
Step-by-step explanation:
n + (n+2) + (n+4) = 4n - 17
3n + 6 = 4n - 17
3n - 4n = -17 - 6
-n = -23
n = 23
therefore,
23, 25, 27 are the 3 consecutive odd integers
Answer:
Step-by-step explanation:
It is given that 
and 
is in the fourth quadrant.
So, only 
will have positive value and 
, 
will have negative value.
Now,
⇒ 
(Answer)
We know, that 
⇒ 
{Since, is positive then 
will also be positive}
⇒ 
(Answer)
We know, that 
⇒ 
{Since, is negative then 
will also be negative}
⇒ 
(Answer)
The answer is 7x = 6(x + 15)
x - Jim's rate
y - Pete's rate
<span>Jim completed half the floor in 7 hours: 7x = half of the floor
</span><span>Pete completed the other half of the floor in 6 hours: 6y = half of the floor
So: 7x = 6y
</span><span>Pete can lay 15 more tiles per hour than Jim: y = x + 15
</span>7x = 6y
y = x + 15
Substitute the second equation into the first one:
7x = 6(x + 15)
Answer:
[(2)^√3]^√3 = 8
Step-by-step explanation:
Hi there!
Let´s write the expression:
[(2)^√3]^√3
Now, let´s write the square roots as fractional exponents (√3 = 3^1/2):
[(2)^(3^1/2)]^(3^1/2)
Let´s apply the following exponents property: (xᵃ)ᵇ = xᵃᵇ and multiply the exponents:
(2)^(3^1/2 · 3^1/2)
Apply the following property of exponents: xᵃ · xᵇ = xᵃ⁺ᵇ
(2)^(3^(1/2 + 1/2)) =2^3¹ = 2³ = 8
Then the expression can be written as:
[(2)^√3]^√3 = 8
Have a nice day!
-7n + 9 because the common difference is -7, so you have -7n, and then by plugging in the term numbers and the values, you find out that you need to add 9 to the -7n, so the answer is -7n + 9
