Answer:
The polynomial function is
Step-by-step explanation:
A polynomial has roots such that
.
In this problem:
The roots are and
Then
The polynomial function is
write an equation in slope-intercept form of the line that passes through the given point and given slope, (-5,-3);slope =-3/5
1 answer:
Answer:
y=
Step-by-step explanation:
Hi there!
We are given the point (-5, -3), and a slope of -3/5
We want to write the equation of the line in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope, and b is the y intercept
As we are already given the slope, we can immediately plug it into the equation
y=+b
We need to find b, though
We can use (-5, -3) to help us, as the equation will pass through that line
Substitute the value of x as -5 and the value of y as -3 to solve for b
-3=
Now, on the right, multiply -3/5 and 5 together
-3=3+b
Subtract 3 from both sides
-6=b
Substitute 6 as b in the equation
y=-6
Hope this helps!
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A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank 1/3 of the remaining water.
How much water, in milliliters, does the student have left in the bottle?
Answer:
the amount of water the student have left in the bottle is 250 milliliters
Step-by-step explanation:
A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank 1/3 of the remaining water.
How much water, in milliliters, does the student have left in the bottle?
Before the soccer practice, she drank 25 % of the water
25% of the water = 25% of 500
= 25% × 500
= × 500
At the right hand-side of the equation, the two zeros will cancel-out the other two zeros, hence;
= 25 × 5
=125
25% of the water = 125 milliliters
From the question, it was said that drank 25% of the water before soccer, this implies that she drank 125 milliliters from the water bottles.
If she drank 125 milliliters of from a 500 milliliters water contain in the water bottle, then the amount of water left will be 500 ml - 125 ml = 375 ml
This implies that before the soccer practice she had 375 milliliters of water left in the water bottle.
After the practice, she drank 1/3 of the remaining water, which means after the practice she drank 1/3 of 375
1/3 of 375 = × 375 =
= 125
After the practice she drank 125 milliliters of water from her 375 milliliters water.
The amount of water she have left after the practice will be;
375 milliliters - 125 milliliters = 250 milliliters
Therefore, the amount of water the student have left in the bottle is 250 milliliters