Answer:
First make mixed
4 x 5 = 20
20 + 2 = 22
22/5 = 4 2/5
1 x 5 = 5
5 + 1 = 6
6/5= 1 1/5
Multiply the reciprocal. The reciprocal is the fraction flipped over like 1/2 becomes 2/1
22/5 / 6/5 = 22/5 x 5/6
Multiply
22 x 5 = 110
5 x 6 = 30
110/30
Simplify
110/10=11
30/10=3
Answer is
11/3 = 3 2/3
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
To solve this equation, first you want to write the whole thing out.
32x - 1 = 243
Next you want to get the variable by itself, so you are going to use inverse operations. in the equation, it is 32x - 1, so you are going to add one to both sides, getting you this:
32x = 244
Now for the final step you are going to get x alone, so you are going to use inverse operations once more and divide 32 on both sides getting you your answer.
x = 4
Now if you want to check your work simply plug in x, and if it is equal, you got the correct answer!
I hope this helped and good luck with your math!
I'm really sorry if I'm wrong though, even though I already finished this unit a while ago I struggled on this one even though it is so easy compared to the equations I have now.
I suggest using the app called photomath. It helps. Here is the answer I got: (click pic)
The formula which used to describe the sequence is f(x)=1.2(2.5)ˣ⁻¹.
The given sequence is 1.2,3,7.5,18.75.
In geometric series, the ratio of two consecutive terms remains the same and this ratio is known as common ratio. a₁ is the first term of a geometric sequence and r is the common ratio, then the general term of the geometric sequence is of the form:
f(x)=a₁⋅rˣ⁻¹.
In the given sequence, a₁=1.2, a₂=3, a₃=7.5 and a₄=18.75.
Find the common ratio by
r=(aₙ₊₁)÷aₙ
r=a₂÷a₁
r=3÷1.2
r=2.5
Substitute the values in the general formula of geometric sequence.
f(x)=(1.2)(2.5)ˣ⁻¹
Hence, the formula which used to describe the sequence 1.2,3,7.5,18.75 is f(x)=(1.2)(2.5)ˣ⁻¹.
Learn more about Geometric Sequence from here brainly.com/question/1509142
#SPJ4
