When Z=3 it is 45 and when Z=-3 it is also 45.
1000 candy bars ... $350
1 candy bar ... $x = ?
If you would like to know what is the unit cost per candy bar, you can calculate this using the following steps:
1000 * x = 350 * 1
1000 * x = 350 /1000
x = 350 / 1000
x = $0.35
Result: She can buy 1 candy bar for $0.35, so the correct result would be B) $.35.
Answer:
- 2x + y = - 1 , so the B is correct.
Step-by-step explanation:
+ Because of "the line passing through the pair of points (2,3) and (5,9)", that means the line has the equation y = ax + b where a = (9-3)/(5-2)= 6/3= 2
+ So the equation is y = 2x + b.
+ Then we replace x= 2 and y= 3 into y = 2x + b for finding like:
3 = 2*2 + b or 3 = 4 + b, so we find b = 3 - 4 = - 1.
+ The equation of this line is y = 2x - 1 or in the form:
2x - y - 1 = 0 (or -2x + y = -1)
Have a good day!
Answer:
x = -2,-3
Step-by-step explanation:
Solve the equation by factorizing.
To factorize this equation, you have to find the two numbers that adds up to 5 and multiplies to 6.
This one is obvious, but for others you may use trial and error.
After finding the 2 numbers: 2 and 3.
Present them in this format:
(x+3) ( x+2) = 0
You may check if this is correct using the distribution method.
After this,
you have to solve it individually.
for example:
x+3 = 0
x = -3
x+2 = 0
x = -2.
Thus, x has 2 different values: -3, -2.
You may check this by substituting x with either of these values.
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Answer:
y = -2x + 1.
Step-by-step explanation:
2y = x - 1
y = 1/2y - 1/2
If line X is perpendicular to line Y (the line where y = 1/2y - 1/2), the slope will be the negative reciprocal of line Y. That means that there will be a negative sign instead of positive, and the 1/2 will be flipped to become 2/1, which is 2.
So, the slope will be -2.
We now have y = -2x + c.
To find c, simply put in -1 for x and 3 for y.
3 = -2 * -1 + c
c + 2 * 1 = 3
c + 2 = 3
c = 1
So, the equation of the line is y = -2x + 1.
Hope this helps!
