Question 9
The point (30,15) means that x = 30 and y = 15 pair up together.
Similarly, (40,25) means we have x = 40 and y = 25 paired up.
Apply the slope formula to get
m = (y2-y1)/(x2-x1)
m = (25-15)/(40-30)
m = 10/10
m = 1
The slope is 1.
It tells us that each time y goes up by 1, x is also increasing by 1.
slope = rise/run = 1/1
rise = 1, run = 1
The rise is the change in y, the run is the change in x.
This means the plant's height (y) goes up by 1 cm each time the number of days (x) goes up by 1.
In short, the plant's height is increasing by 1 cm per day
<h3>
Answer: Choice D</h3>
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Question 10
y varies directly with x, so y = kx for some constant k.
We're then told that x = -1 and y = -2 pair up together.
Let's find k based on those items
y = kx
y/x = k
k = y/x
k = -2/(-1)
k = 2
So y = kx becomes y = 2x
Then we're asked to find x when y = -4
y = 2x
y/2 = x
x = y/2
x = -4/2
x = -2
<h3>
Answer: Choice D</h3>
<u>Answer:
</u>
One number is 10 more than twice another.Their sum is 1.The numbers are -3 and 4
<u>Solution:
</u>
Given that one number is 10 more than twice the other.
Let us consider the two numbers as “x” and “y”
First number = x
Second number = y
From question, consider “y” is 10 more than twice the “x”. This can be represented
y = 10 + 2x – eqn 1
given that the sum of numbers is 1. Hence we get
x + y =1
substituting the value of “y” we get
x + 10 +2x = 1
3x +10 = 1
3x = -9
x = -3
substitute x = -3 in eqn 1 to get the value of “y”
y = 10 +2(-3)
y=10 – 6 = 4
hence the two numbers are -3 and 4
Answer:
-5/4
Step-by-step explanation:
Answer:
-6and 5
Step-by-step explanation:
x²+x-30
by factorisation;
(x+6)(x-5)
x+6=0
x=-6
x=5
hope this helps
feel free to ask me questions in the comments section
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Answer:
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Step-by-step explanation:
