Answer: F, D, B
Step-by-step explanation:
Answer:
Infinite amount of solutions.
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Regular + Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
6y + 4 - 3y - 7 = 3(y - 1)
<u>Step 2: Solve for </u><em><u>y</u></em>
- Combine like terms: 3y - 3 = 3(y - 1)
- Distribute 3: 3y - 3 = 3y - 3
- Subtract 3y on both sides: -3 = -3
Here we see that there will be infinite amount of solutions. We can plug in any number <em>y</em> and it will render the equation true.
Answer:
The first term of the sequence is -120.
Step-by-step explanation:
The formula for the "nth" term of a geometric sequence is shown below:
an = a0*r^(n-1)
Where an is the nth term, r is the ratio and n is the position of the term on the sequence. For this problem we want to find what is the initial term, a0, so we will isolate it in the formula as shown below:
a0*r^(n-1) = an
a0 = an/[r^(n-1)]
We then apply the data given to us
a0 = 31.45728/[-0.8^(7-1)]
a0 = 31.45728/[-0.8^6] =31.45728 /-0.262144= -120
The first term of the sequence is -120.
Answer:
the base length of the triangle is 4 units, u can count that. and the height of triangle is 2 units, thats the dotted line one. and the equation of triangle area is (length x height) divided by 2so in this case it'll be (4x2) /2=4 square units.
Step-by-step explanation:
Answer:
Emily: 13, Peter: 9, Joshua: 18
Step-by-step explanation:
Emily = x
Peter = Emily - 4 = x - 4
Joshua = 2(Peter) = 2(x - 4)
Total = 40 = Emily + Peter + Joshua = (x) + (x - 4) + 2(x - 4)
40 = 2x - 4 + 2x -8
40 = 4x - 4 - 8
40 = 4x - 12
52 = 4x
x = 13
Emily = 13
Peter = 13 - 4 = 9
Joshua = 2(13 - 4) = 2(9) = 18
13 + 9 +18 = 40
