Answer:
The GCF of 25 and 35 is 5.
Explanation:
One way to find the GCF is to find the prime factorization of each number. So,
25=52
35=5⋅7
Now, we can find all the factors 25 and 35 have in common. We see that 25 and 35 both have a 5, but not 52 because 35 only has one 5.
35 also has a 7, but that is not in the prime factorization of 25, so we do not include it. Since there is only one common factor which is 5, that is our "greatest common factor
Answer:
x = -4.604
Step-by-step explanation:
Here, we want to get the value of x
We start by dividing through by 5
e^(2x + 11) = 30/5
e^(2x + 11) = 6
Writing this in natural logarithm form, we have;
ln 6 = 2x + 11
2x + 11 = 1.792
2x = 1.792-11
2x = -9.208
x = -9.208/2
x = -4.604
Hey Astute!
Solve: x^2 - 18x = -72
Solution:
x^2 − 18x − (−72) = −72 − (−72) (Subtract -72 from both sides of the equation)
x^2 − 18x + 72 = 0
(x − 6) (x − 12) = 0 (Factor left side)
x − 6 = 0 or x − 12 = 0 (factors have to equal 0)
6 - 6 = 0 or 12 - 12 = 0
Answer:
x = 6 or x = 12
Hope This Helps, Have a Great Day!
inequality could be used to find the number of models Walt builds which is Dwight builds at most 9 and Walt builds at most 4 .
<u>Step-by-step explanation:</u>
Here we have , Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most 9 models. We need to find Which inequality could be used to find the number of models Walt builds . Let's find out:
Let the the number Walt builds is x , So Dwight builds 7 fewer models than 4 times the number Walt builds i.e.
⇒ 
But , according to question Dwight builds at most 9 models i.e.
⇒ 
⇒ 
⇒ 
⇒ 
Therefore ,
inequality could be used to find the number of models Walt builds which is Dwight builds at most 9 and Walt builds at most 4 .