The one way of determining the factors of x³ + 4x² + 5x + 20 by grouping is (b) x²(x + 4) + 5(x + 4) .
The Grouping in a polynomial is done by the taking the GCF( greatest common factors) from the different terms .
the expression is given as : x³ + 4x² + 5x + 20 ;
in order to determine the factors by grouping ,
we first take x² common from the first two terms and 5 common from the last two terms .
we get ;
⇒ x²(x + 4) + 5(x + 4)
Therefore , the one way of determining the factors is x²(x + 4) + 5(x + 4) .
The given question is incomplete , the complete question is
Which shows one way to determine the factors of x³ + 4x² + 5x + 20 by grouping ?
(a) x(x² + 4) + 5(x² + 4)
(b) x²(x + 4) + 5(x + 4)
(c) x²(x + 5) + 4(x + 5)
(d) x(x² + 5) + 4x(x² + 5)
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Select the ordered pair that is a solution to the function. (A point on the line.)?
A) 5
B) -5
C) -7
D) 7
Answer:
-7
Step-by-step explanation:
first you plug in f(3) in the x so -2(3)= -6
then -6 - 1 = -7
What is the slope of the line that passes through
the equation -6x - 4y = -5?
Alice is a good gambler and always knows when to stop. Suppose in a game, in each round she has a winning probability of 0.8 and she will stop at the first loss. Try to find the upper bound on the probability that she can win at least 10 rounds using Markov's inequality.
Answer:
The answer is "0.500".
Step-by-step explanation:
The chance that round will be won, [tex]P (win) =0.8[/tex]
The likelihood of losing round by complementary law
[tex]P(loss) = 1 -P(win)\\\\[/tex]
[tex]=1-0.8\\\\=0.2\\\\[/tex]
Let X be the number of rounds to the first loss played.
Here, [tex]X \sim Geometric (p=0.2)[/tex]
The PMF of X is the following:
[tex]P(X=x)=p(1-p)^x\\\\[/tex]
[tex]=(0.2)(1-0.2)^x\\\\=(0.2)(0.8)^x, \ \ \ \ \ x=1,2,.....[/tex]
The mean of X is the geometric random variable property, [tex]E(X) =\frac{1}{P}= \frac{1}{0.2}=5\\\\[/tex]
Markov's Inequality:
Suppose X is any random variable that has no negatives. So,
[tex]P(X \geq s)\leq \frac{E(X)}{s} for s >0\\\\[/tex]
Find the upper bound of [tex]P (X \geq 10)[/tex]
[tex]P(X \geq 10) \leq \frac{E(X)}{10}[/tex]
[tex]=\frac{5}{10}\\\\=\frac{1}{2}\\\\=0.5\\\\[/tex]
The highest probability is, therefore, that Markov's inequality will win at least ten rounds: 0.500
Which of the following points lies on the graph of y=x^2-5?
Answer:
(-2,-1)
Step-by-step explanation:
The point (-2, -1) lies on the graph of y=x²-5
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given function is y=x²-5
A relation is a function if it has only one y-value for each x-value.
We have to find the points which lies on the graph of y=x²-5
The graph is a parabola which has vertex of (0, -5)
Let us find few points of function
When x=-2, y=-1
When x=0, y=-5
when x=1, y=-4
when x=2, y=-1
when x=3, y=4
when x=4, y=11
when x=5, y=20
Hence, the point (-2, -1) lies on the graph of y=x²-5
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how many unique triangles can be drawn with side lengths of 3 units, 4 units, and 5 units
Answer:
1 perfect right angle
Step-by-step explanation:
please mark this answer as brainlest
9x -5y = 16
-3x + 7y = 16
-4x - 2y = 14
10x - 7y = 25
7. A parabola has a maximum or minimum point called the
This is the point where the
curve changes direction. If the parabola opens up, the vertex is the
point. If it opens
down, it is the
point.
a) Axis of symmetry, minimum, maximum
b) Vertex, maximum, minimum
c) Axis of symmetry, maximum, minimum
d) Vertex, minimum, maximum
Please just type which letter ASAP, no links.
Answer:
D
Step-by-step explanation:
Ashley is attending a hockey game that consists of 3 periods. If it is halfway through the third period right now, what fractional part of the game is left?
Answer:
[tex]\frac{1}{6}[/tex] of the game is left.
Step-by-step explanation:
A hockey game has 3 periods.
Now, it is halfway through two periods, which means that 2 + 0.5 = 2.5 periods have been played.
Amount remaining:
Total of 100% = 1, subtracted by the fraction played, which is 2.5 of 3 = 5 of 6. So
[tex]1 - \frac{2.5}{3} = 1 - \frac{5}{6} = \frac{6 - 5}{6} = \frac{1}{6}[/tex]
[tex]\frac{1}{6}[/tex] of the game is left.
A bag contains. 7 red, 8 blue, 2 green, 5 black, and 3 yellow marbles. A marbles will be drawn from the bag and replaced 175 times. what is the reasonable prediction for the number of times a yellow or green marble be drawn?
A. 35
B. 25
C. 5
D. 7
Answer:
A. 35
Step-by-step explanation:
The total number of marbles is 25
The number of green & yellow marble is 5
The probability of getting a yellow or green marble (if drawn once) = 5/25
So, if drawn 175 times, 5×175/25 = 35
Can someone help me with this. Will Mark brainliest.
Answer:
false
Step-by-step explanation:
a parallelogram is defined as a four sided figure with opposing sides parallel. So, a rectangle counts as a parallelogram, but all of its sides aren't equal
At a garage sale, Samuel purchased used books and DVDs. He bought a total of 18 items and spent $11. Each book cost $0.50 and each DVD cost $0.75. How many books did Samuel purchase?
Answer: 10 books
Step-by-step explanation:
Let the number of books bought be represented by x.
Let the number of dvds bought be represented by y.
The information given in the question can be formed into an equation as:
x + y = 18 ........ i
0.50x + 0.75y = 11 ....... ii
Multiply equation i by 0.75
Multiply equation ii by 1
0.75x + 0.75y = 13.50 ........ iii
0.50x + 0.75y = 11 ........ iv
Subtract iv from iii
0.25x = 2.50
x = 2.50/0.25
x = 10
Samuel bought 10 books
Covert 50 °F to °C
°C = ( 50 -32)
Answer:
50 Fahrenheit (F) 10 Celsius (C)
1 F = -17.222 C 1 C = 33.800 F
Answer:
50 Fahrenheit (F) 10 Celsius (C)
1 F = -17.222 C 1 C = 33.800 F
find the perimeter of the figure
Answer:
(19x+10)/2
Step-by-step explanation:
Perimeter of the figure is the sum of all the sides
Perimeter of the figure = 4x+3 + x+2+2x+2 + x/10 -1 + 2x/5 + 2x-1
Perimeter of the figure = 4x+x+2x+2x+x/10+2x/5 + 3 + 2 + 2 -1-1
Perimeter of the figure = 9x + (x+4x)/10 + 5
Perimeter of the figure = 9x + 5x/10 + 5
Perimeter of the figure = 9x + x/2 + 5
Perimeter of the figure = (18x+x)/2 + 5
Perimeter of the figure = 19x/2 + 5
Perimeter of the figure = (19x+10)/2
Need help asap !!!! It also said round to the nearest tenth
Answer:
4524.9
Step-by-step explanation:
Area of a parallelogram:
A = bh
A = 63 x 90
A = 5670
Area of half-circle:
A = (πr²)/2
A = (π x 27²)/2
A = (π x 729)/2
A = 729/2π
Combined:
5670 - 729/2π
4524.9
Jamal is a real estate agent who earns a 4.5% commission on her sales. If she sells a home worth $250,000, what is her commission?
A) $10,450
B) $11,250
C) $12,150
D) $12,850
Answer:
B 11,250
Step-by-step explanation:
Answer:
11,250
Step-by-step explanation:
how to solve 7x+(-3)=18
Answer:
x=3
Step-by-step explanation:
7x(-3)=18
add 3 to both sides
7x=21
divide by 7 on both sides
x=3
Answer:
7x+(-3)=18
7x-3=18
7x-3+3=18+3
7x=18+3
7x=21
7x/7=21/7
x=21/7
x=3
Hiiii!
What's 100 X 1,000,000?
Just answer so that this doesn't get deleted, please.
Do any boys wanna talk on discord, remind, or pad let?
Any gender is fine as long as you are from the ages 13-17.
Answer:100000000
Step-by-step explanation:
What is the answer to this one, answer it and no wrong answers.
Answer:
A
Step-by-step explanation:
Karen has a new job as a teacher's aide. Her annual salary is $26,210. What is her bi-weekly salary? Round your answer to the nearest cent.
Answer:
$1008.08
Step-by-step explanation:
biweekly is every 2 weeks
52/2 = 26
$26,210/26 = $1008.08
I need help with this pls
Answer:
JanetStep-by-step explanation:
Because janet daily step count is 5000-9000And brends step count is7000-10000Janat step count is 1000 greater than brenda.Please mark me brainalist.the differences of 4 and a number x is 14
Answer:
x=18
Step-by-step explanation:
x-4=14
+4 +4
x=18
HELPPPPPPPPPP!!!!!!!!!
Answer:
100 hours
Step-by-step explanation:
can i get brainlist
Answer:
100
Step-by-step explanation:
80-1800
90-1900
100-2000
Find the volume of a rectangular pyramid with the following dimensions.
length = 9 in ; width = 7 in ; height = 5 in
A 315
B 105
C 0157.5
D 472.5
Answer:
B
Step-by-step explanation:
like my answer please gimme the brain
Triangle ABC is taken to triangle ABC by a dilation. Which of these scale factors for the dilation would result in an image that was larger than the original figure?
A)3/5
b)13/17
c)1
D)4/3
Answer:
D
Step-by-step explanation:
you would see this as correct because it has a larger numerator than its denominator.
Select all relations that represent a function.
A.
{(–4, 3),(–2, 4),(0, 1),(–4, –1)}
B.
{(5, 7),(2, 7),(9, 7),(8, 0)}
C.
{(3, 11),(–4, 5),(3, –1),(0, 0)}
D.
{(8, 0),(1, 4),(9, 4),(7, 8)}
E.
{(–5, 4),(–4, 3),(–3, 2),(–2, 1)}
F.
{(0, 0),(–1, 3),(–1, –1),(0, 5)}
Answer:
Hi! The answer to your question is B, D, and E
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Answer:
D
Step-by-step explanation:
because the other answers do not have a function A,B,C,E, and f are not a function because the numbers are repeating in the same axis
99+72 = 9( ? +8) \
Pls help
1) Is this relation a function? WHY or WHY NOT?
X
-1
у
-8
5
9
-9
7
-8
-6
5
4
Answer:
yes its a function because the x side doesnt repeat itself
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
Christine has a bookcase with 21 books. There are 7 shelves in the bookcase. Each shelf has the same number of books. How many books does each shelf have?.
Answer:
3 books
Step-by-step explanation:
You divide 21 by 7 to equally distribute the books on each shelf.
links will get banned
Answer:
TrueStep-by-step explanation:
It's a square, so it'll have rotational symmetry.
[tex] \infty \infty [/tex]
5. (5 points) You have a jar full of jelly beans. You will randomly pick 2 jelly beans without replacement.The probability that you choose 2 green jelly beans is 14/95 and the probability of drawing one green jelly been is 2/5 . what is the probability of picking a second green, given the first was green?
Answer:
7/19
Step-by-step explanation:
In order to find the probability that two events happen in a sequence you simply have to multiply the probability of each individual event together. Since the probability of the sequence is given to us as well as the probability of drawing the first green jelly bean, this means we need to divide the first probability by the probability of the sequence to get the probability of the second event. Basically, reversing the process. Dividing two fractions, we simply divide the numerators by each other and then the denominators by one another.
[tex]\frac{14 / 2}{95 / 5} = \frac{7}{19}[/tex]
Therefore, the probability of picking the second green jelly bean is 7/19