Answer:
Age of Anna = x years
Age of Jane i.e. Anna's sister = (x-y) years
a, What was the sum of their ages two years ago?
Solution,
Age of Anna two years ago = (x-2) years
Age of Jane two years ago = (x-y-2) years
Sum of their ages = x - 2 + x-y-2 = 2x - y -4
b. What will be the sum of their ages in 3 years?
Solution,
We have,
Present age of Anna = x years
Present age of Jane = (x-y) years
So,
Age of Anna after 3 years = (x+3) years
Age of Jane after 3 years = (x-y+3) years
Therefore,
Sum of their ages in 3 years = (x+3) +(x-y+3) = 2x - y+6
c. How old was Anna when Jane was born?
Solution,
Here,
According to question,
Jane is y years younger than Anna
So, Anna was y years when Jane was born.
[Suppose your age is 10 years and your brothers age is 14 years. You are 4 years younger than your brother. Also, his age was 4 years when you were born.]
Hey there! I'm happy to help!
First, let's find the slope. To find it, you divide the difference in two y values by the difference in the corresponding x values.
The x values are what you can choose. You can choose the number of minutes you choose, but you cannot directly choose the cost. You control the minutes, which dictates what the cost is. So, the minutes are our x values and the costs are our y values.
Let's use the points (500,62) and (750,77).
We subtract the y values.
77-62=15
We subtract the x values.
750-500=250
We divide these.
15/250=0.06
This means that our slope is 0.06, which means that for every minute the cost goes up by six cents.
The slope intercept equation is y=mx+b. The m is slope and b is y-intercept. We already have the slope, but we need the y-intercept. We can plug in the slope and one point on the line to solve for b.
62=0.06(500)+b
Flip the equation so b is on the left.
0.06(500)+b=62
30+b=62
Subtract 30 from both sides.
b=32
Therefore, our equation is y=0.06x+32.
Have a wonderful day! :D
Answer:
m = -75/4
Step-by-step explanation:
1. Subtract 95/4 from both sides
m + 95/4 = 5
x + 95/4 - 95/4 = 5 - 95/4
2. Simplify, which will get you -75/4
Answer:
1: x=y-3 linear equation : y=x+3
2:y=-2x-3 linear equation : y=-2x-3
3: -4y+6 =2 linear equation : y=2-6/-4 ⇒ y=1
4:2/3 x-1/3y=2 , linear equation : y=2x-6
-1/3 y=2-2/3 x
y=-6+2x
13: 5x+25=y² not linear
y = √5x+25
14 : 8+y=4x linear y=4x-8
15: 9xy-6x=7 not linear
16: 4y²+9=-4 ⇒ y²=-4/4 -9/4 ⇒y=√-1-2.25 ⇒y=√-3.25 not linear
17: 12x=7y-10y linear : y=12x/-3 ⇒ y=-4x
18:y=4x+x linear y=5x
Answer:
308629.44
Step-by-step explanation: