Example 4:
Let y = ax + b
Where, a = 4
Then,
y = 4x + b
As we have one point = (-2,3)
Replace in the equation:
3 = 4(-2) + b
3 = -8 + b
b = 3 +8
b = 11
So us stay:
y = 4x + 11
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Now let's to the 5 example:
Let y = ax + b
Where a = 3/2
Then,
y = 3x/2 + b
As the point is = (4, 7)
Then we will stay:
7 = 3(4)/2 + b
7 = 6 + b
b = 7 - 6
b = 1
Then we will stay:
y = 3x/2 + 1
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Now let's to the last example:
Let y = ax + b
Where , a = -4/3
Then we going to stay with:
y = -4x/3 + b
As the point is = (6 , -2)
Then,
-2 = -4(6)/3 + b
-2 = -8 + b
b = -2 + 8
b = 6
So follow:
y = -4x/3 + 6
I hope this helped!
Answer:
139/150
Step-by-step explanation:
Let's make a list of the perfect squares.
1 4 9 16 25 36 49 64 81 100 121 144
The probability that one of these is drawn is 12/150 = 4/50 = 2/25
Take out 1. So that means there are 11 perfect squares.
11/150 are your chances of getting a perfect square.
1 - 11/150 = 139/150 that you will not get a perfect square.
I would have included 1 in the perfect squares, but the question says not to so you can't.
If the question did not mean that 1 should be excluded, then the answer is 23/25
Answer:
P(x) =x² + 3x + 2
Step-by-step explanation:
You have two zeros, so the polynomial is a quadratic.
The general form of a quadratic is
P(x) = ax² + bx + c
Sum of zeros = -b
Product of zeros = c
The polynomial becomes
P(x) = x² - (sum of zeros)x + (product of zeros)
Sum of zeros = -3 and product of zeros = 2, so
P(x) = x² + 3x + 2
The graph of P(x) (below) shows that the zeros are at -2 and -1
Sum of zeros = -2 + (-1) = -3
Product of zeros = -2 × (-1) = 2
Step-by-step explanation:
3 is cross multiplication
2 is proportion
and 1 is equal
Answer:
t=7,t=0
Step-by-step explanation:
2t^2-14t+3=3
Subtract 3 from both sides
2t^2 - 14t +3 - 3 = 3-3
Simpilfy
2t^2 -14t = 0
