Answer:
Step-by-step explanation:
we know that
To find out how much fabric Jen has left for the shorts, subtract the yards of fabric used in her new dress from the total yards of fabric Jen has.
so
Convert mixed number to an improper fraction
substitute
Convert to mixed number
Answer:
1)
2)
3)
Step-by-step explanation:
Given : Mr. and Mrs. Romero are expecting triplets. Suppose the chance of each child being a boy is 50% and of being a girl is 50%.
To Find : The probability of each event.
1) P(at least one boy and one girl)
2) P(two boys and one girl)
3) P(at least two girls)
Solution :
Let's represent a boy with B and a girl with G
Mr. and Mrs. Romero are expecting triplets.
The possibility of having triplet is
BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG
Total outcome = 8
1) P(at least one boy and one girl)
Favorable outcome = BBG, BGB, BGG, GBB, GBG, GGB=6
2) P(at least one boy and one girl)
Favorable outcome = BBG, BGB, GBB=3
3) P(at least two girls)
Favorable outcome = BGG, GBG, GGB, GGG=4
Answer:
Following equations represents a linear function:
Step-by-step explanation:
We know that a linear function is of the form
where m is the rate of change or slope and b is the y-intercept.
Please note that y = mx+b represents a straight line because the degree of a linear function is always 1.
Now, let us check whether the given functions represent the linear functions or not.
Checking y = 6x
y = 6x
comparing with the equation y = mx+b
slope = 6, and y-intercept b = 0
y = 6x is a straight line because the degree of the linear equation is always 1.
Checking x³- y = -2
x³- y = -2
As the power of x variable 3. So, its graph will no longer be a straight line,
Thus, it is not a linear function as a linear function can not have any exponent.
Hence, x³- y = -2 is not a linear function.
Checking y = 4x - √2
y = 4x - √2
comparing with the equation y = mx+b
slope = 4, and y-intercept b = -√2
Thus, y = 4x - √2 is a straight line because the degree of the linear equation is always 1. Thus, the graph of y = 4x - √2 is a straight line.
Checking x – 4y = 6
x – 4y = 6
writing the in the form y = mx+b
4y = x - 6
divide both sides by 4
4y/4 = x/4 - 6/4
y = x/4 - 3/2
comparing with the equation y = mx+b
slope = x/4, and y-intercept b = -3/2
Thus, x – 4y = 6 is a straight line because the degree of the linear equation is 1. Thus, the graph of x – 4y = 6 is a straight line.
SUMMARY:
Following equations represents a linear function: