Paula used synthetic division to divide the polynomial f(x) by x + 1, as shown: -1|-2 -5 4 2 3 ___________ -2-3 7 What is the value of f(-1)? 7 -2 -1 1I think it's 7 but not sure about my answer
Answers
Answer:
The correct option is A. The value of f(-1) is 7.
Step-by-step explanation:
It is given that Paula used synthetic division to divide the polynomial f(x) by x + 1, as shown in the attached figure.
According to the remainder theorem, If a function f(x) is divided by (x-c), then
From the given division it is clear that if the polynomial f(x)is divide by x + 1, then the remainder is 7.
Using remainder theorem, we get
The value of f(-1)=7, therefore the correct option is A.
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Alexandra is climbing a tree that is 105 feet tall. She has climbed 70 feet so far. if f= the number of feet remaining, which graph best shows this situation?
1.5 inches per hour as a fraction
Answers
All you have to do is find two points on the graph, and draw a line between them.
How do you find points ? That's where you are in control !
Just pick any number you like for 'x', and then use the equation
to calculate the 'y' that goes with it.
Examples:
Pick 'zero' for 'x'.
Y = (1/2)x + 3
Y = 3
Pick 10 for 'x'.
y = (1/2)x + 3
y = 5 + 3
y = 8
Just create two points that way, using the equation. Then mark
the two points on the graph, and draw a line through the two points.
Answers
then the probability of losing that game is 0.4 .
The probability of losing Game #1 = 0.4
The probability of losing Game #2 = 0.4
The probability of losing Game #3 = 0.4
The probability of all 3 events occurring = (0.4) · (0.4) · (0.4)
= (0.064) = 6.4% .
Answers
for
y=a(x-h)^2+k
vertex is (h,k)
given vertex is (3,5)
y=a(x-3)^2+5
we are also given
(5,-3)
x=5 and y=-3 is a possible solution
-3=a(5-3)^2+5
-3=a(2)^2+5
minus 5 both sides
-8=a(4)
-8=4a
divide by 4 both sides
-2=a
the equation is
y=2
Answers
Slope = 0
Y-intercept = 2
The line is parallel to the x-axis,
so there is no x-intercept.
Answers
Complete question is;
Your local minor League baseball team has 120 ball caps 180 miniature baseball keychains and 240 glow-in-the-dark bracelets to give away to the children on opening day the items will be split into identical sets with no items left over each child will receive one set of items. what is the greatest number of children that will receive a set of items on opening day please show all work due today
Answer:
greatest number of children that will receive a set of items on opening = 60
Step-by-step explanation:
We are told that local minor League baseball team has 120 ball caps 180 miniature baseball keychains and 240 glow-in-the-dark bracelets to give away to the children on opening day.
We are also told the items will be split into identical sets with no items left over.
Now, we want to find the greatest number of children that will receive a set of items on opening.
This implies that we have to find TH highest common factor of 120, 180 and 240
To do this, we will list out all the factors of each of the 3 numbers and then select the highest one that is common to the 3 of them.
Factors of 12 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Factors of 180 = 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Factors of 240 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240.
From all the factors listed above, the one that is the highest and appears in all three is 60
Thus, greatest number of children that will receive a set of items on opening = 60
Answers
Answer:
-1/6
Step-by-step explanation:
1/6-1/3
1/6-1×2/3×2
1/6-2/6
1-2/6
-1/6
Answer:
-1/6
Step-by-step explanation:
Written vertically:
1/6
- 1/3
--------
The LCD here is 6, so that -1/3 becomes -2/6, and we have:
1/6
- 2/6
--------
-1/6 (answer)