Answer:
Equation: y = 2x + 25
Step-by-step explanation:
Here x determines the number of year. For the first year,we will see ( 2 * 1 ) = $2 increase. In the second year, ( 2 * 2 ) =$4 increase and like this goes on, whereas the $25 being constant. "y" determines the total cost for each year.
Therefore the equation can be made: y = 2x + 25
Answer:
- -35/3, -140/3, - 560/3, -2240/3
- 7, -28, 112, - 448
Step-by-step explanation:
<u>The terms are:</u>
<u>Given:</u>
- a₁ = a₂ + 35
- a₃ = a₄ + 560
<u>Use the nth term formula:</u>
- a₂ = a₁r
- a₃ = a₁r²
- a₄ = a₁r³
<u>Substitute:</u>
- a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35
- a₁r² = a₁r³ + 560 ⇒ a₁(1 - r)r² = 560
<u>Divide the second equation by the first:</u>
- r² = 560/35
- r² = 16
- r = √16
- r = ± 4
<u>Use the first equation to find the first term:</u>
- a₁( 1 ± 4) = 35
- 1. a₁ = 35/-3 = -35/3
- 2. a₁ = 35/5 = 7
<u>We have two sequences:</u>
r = 4
- -35/3, -140/3, - 560/3, -2240/3
r = -4
= 6 - {-4+[3-(-13) +14]-7}
= 6 - {-4+[3+13+14]-7}
= 6 - {-4+[30]-7}
=6- {19}
=-13
answer is minus thirteen
Answer:
Step-by-step explanation:
According to the Definition of Rational Exponents, use this formula to rewrite this as an exponential expression:
![a^{\frac{m}{n}} = \sqrt[n]{a}^{m}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%20%3D%20%5Csqrt%5Bn%5D%7Ba%7D%5E%7Bm%7D)
NOTE: Since we have exponents in our radical, we have to multiply all exponents by one-half, since raising something to its <em>half power</em> is the exact same as taking the <em>square root</em> of something:
![[{n}^{3}{p}^{4}]^{\frac{1}{2}} = {n}^{1\frac{1}{2}}{p}^{2}](https://tex.z-dn.net/?f=%5B%7Bn%7D%5E%7B3%7D%7Bp%7D%5E%7B4%7D%5D%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%20%3D%20%7Bn%7D%5E%7B1%5Cfrac%7B1%7D%7B2%7D%7D%7Bp%7D%5E%7B2%7D)
* Do not forget to remove the radical in the beginning because you are once again, rewriting this as an exponential expression.
I am joyous to assist you anytime.
Answer:
k=11
Step-by-step explanation:
Slope is calculated by dividing the change in y over the change in x. The change in x for these points is 4. This leaves us with y/4 as the slope, which must equal 2. Divide both sides of the equation (y/4=2) by 4. y=8
Now add 8 to the y coordinate of (1,3) in order to get a y value of 11 for the second coordinate.
