Answer:
<u>k = 1.5</u>
Step-by-step explanation:
To find the value of k, at first we will find the point of intersection of the lines
y =2x –5 and y = –x+1
Solve the equations to together by equating the values of y
So, 2x - 5 = -x + 1
Solve for x
3x = 6 ⇒ x = 6/3 = 2
So, y = -x + 1 = -2 + 1 = -1
So, the point of intersection of the lines ⇒ (2,-1)
line y = kx –4 pass through the point of intersection of the lines
so, line y = kx –4 pass through the point (2,-1)
So, at x = 2 , y = -1
∴ -1 = 2k - 4
Solve for k
-1 + 4 = 2k
2k = 3
k = 3/2 = 1.5
<u>So, the value of k is 1.5</u>
I will only answer 1, 4, and 5 for you.
#1.
2pm = 10 feet, 6pm = 2 feet
You would subtract so 6 - 2 = 4 hours
10 - 2 = 8 hours
The water went down 8 feet in 4 hours
Then you'd find how many feet it went down in an hour, which you'd divide
8/4 = 2 feet
The constant rate of the water would be 2 feet/hour
#4.
Jazz = 43 inches tall, 18 months later Jazz = 52 inches tall
Again, you'd subtract just like we did in #1.
52 - 43 = 9 inches
Then you'd divide 9 inches into the 18 months
9/18 = 0.5
So Jaz grew 0.5 inches.
#5
For this question, all you have to do is look at the graph. You see those points? Look at the numbers on the side, you will see that they increase by 10 each time. So there's your answer! Toby biked 10 miles per week.
Ok so when you add fractions, the denominators have to be the same, therefore: (whole numbers you can still add)
5(1/2)+5(1/2)= 10(2/2), which equals to 11.
5(1/2) is also 5.5, since 1/2 is 50/100.
5.5 + 5.5 = 11
42 to ^5 is standard form
