The expression for the polynomial graphed will be y(x) = (x + 3)(x - 1 )(x - 4 ).
<h3>How to factor the polynomial?</h3>
From the graph, the zeros of the polynomial of given graph are:
x = -3
x = 1
x = 4
Equate the above equations to zero
x + 3 = 0
x - 1 = 0
x - 4 = 0
Multiply the equations
(x + 3)(x - 1 )(x - 4 ) = 0
Express as a function gives;
y = (x + 3)(x - 1 )(x - 4 )
Hence, the factored form of the polynomial will be y = (x + 3)(x - 1 )(x - 4 ) .
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Answer:
100 is 40% of 250
Step-by-step explanation:
1. We assume, that the number 250 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 250, so we can write it down as 100%=250.
4. We know, that x% equals 100 of the output value, so we can write it down as x%=100.
5. Now we have two simple equations:
1) 100%=250
2) x%=100
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=250/100
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 100 is what percent of 250
100%/x%=250/100
(100/x)*x=(250/100)*x - we multiply both sides of the equation by x
100=2.5*x - we divide both sides of the equation by (2.5) to get x
100/2.5=x
40=x
x=40
now we have:
100 is 40% of 250
The car went 12.05 miles per gallon of gas and went 36.15 miles per hour.
(Just divide the total amount of miles by each value to get both of these answers.)
Y=1/4-2 is the correct answer. you go up one and over four. the y-intercept is -2
Answer:
The number of ways to select 5 diamonds and 3 clubs is 368,082.
Step-by-step explanation:
In a standard deck of 52 cards there are 4 suits each consisting of 13 cards.
Compute the probability of selecting 5 diamonds and 3 clubs as follows:
The number of ways of selecting 0 cards from 13 hearts is:

The number of ways of selecting 3 cards from 13 clubs is:

The number of ways of selecting 5 cards from 13 diamonds is:

The number of ways of selecting 0 cards from 13 spades is:

Compute the number of ways to select 5 diamonds and 3 clubs as:

Thus, the number of ways to select 5 diamonds and 3 clubs is 368,082.