Answer: D
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
(2x + 3)(2x - 3)(x - 2) is the factor form of the expression (2x + 3)(2x - 3)(x - 2).
Option A is the correct answer.
(2x + 3)(2x - 3)(x - 2).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
4x³ - 8x² - 9x + 18
We will check the expression in factor form:
A.
(2x + 3)(2x - 3)(x - 2)
(2x + 3) (2x² - 4x - 3x + 6)
4x³ - 8x² - 6x² + 12x + 6x² - 12x - 9x + 18
4x³ - 8x² - 9x + 18 ____(1)
B.
(2x + 3)(2x + 3)(x - 2)
(2x + 3) (2x² - 4x + 3x - 6)
4x³ - 8x² + 6x² - 12x + 6x² - 12x + 9x - 18
4x³ + 4x² - 15x - 18 ____(2)
C.
(2x + 3)(2x - 3)(x + 2)
(2x + 3) (2x² + 4x - 3x - 6)
4x³ + 8x² - 6x² - 12x + 6x² + 12x - 9x - 18
4x³ + 14x² + 3x - 18 ____(3)
D.
(2x - 3)(2x - 3)(x - 2)
(2x - 3) ( 2x² - 4x - 3x + 6)
4x³ - 8x² - 6x² + 12x - 6x² + 12x + 9x - 18
4x³- 20x² + 33x - 18 ____(4)
From (1), (2), (3), and (4) we see that,
(2x + 3)(2x - 3)(x - 2) is the factor form of the expression (2x + 3)(2x - 3)(x - 2).
Option A is the correct answer.
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When Louisa arranges her pennies into a rectangle with two equal rows, three equal rows, four equal rows, or six equal rows, she has one leftover penny. When she arranges her pennies into a rectangle with five equal rows, she has two leftover pennies. How many pennies could Louisa have? Remember he has between 10 and 40 pennies total.
Answer:
37
Step-by-step explanation:
The answer must be (a multiple of 2, 3, 4 and 6) + 1, and (a multiple of 5) + 1, because 1 or 2 coins were left over when dividing by 2, 3, 4, 6 or 5.
Let's look at the lowest common multiples of 2, 3, 4, 6:
Prime factorisation:
2 = 2
3 = 3
4 = 2 * 2
6 = 2 * 3
therefore, the lowest common multiple is 2 * 2 * 3 = 12
Let's look at the answers that this would give us (ie multiples of 12):
12 + 1 = 13 <-- this would work, but 11 (ie two less than 13) is not a multiple of 5
12 * 2 + 1 = 25 <-- 23 is not a multiple of 5 either
12 * 3 + 1 = 37 <-- 35 (two less than 37) is a multiple of 5 :)
therefore 37 is our answer since it is one more than a multiple of 12 (ie 36) and two more than a multiple of 5 (ie 35)
The boundary line is dashed when the inequality is .
Answer: < or >
Step-by-step explanation:
Combine like terms to create an equivalent expression.
11/12 - 1/6q + 5/6q - 1/3
Answer:
The answer is 8q+7/12
Step-by-step explanation:
Please answer with an explanation if you can. If you can’t it’s fine.
I need help plz
The mapping below represents all of the
points on a graph. Is the graph a function?
Solve for p in the literal equation 7p + 6r= q
p=
Answer: x=94
Step-by-step explanation:
The anwser
Determine whether each equation represents a proportional relationship.
y = 3 + x
Proportional Relationship
Not a Proportional Relationship
y = 1.6%
y = 3/(4x)
y = x
y = 12x
y = 2x + 1
Answer:
Proportional Relationship: I Not a Proportional Relationship:
y=1.6x I y=3/(4x)
y=x I y=2x+1
y=12x . I y=3+x
Explanation:
I took the test and that's how i got these answers.
How do you do this question?
Step-by-step explanation:
lim(n→∞) an / bn
= lim(n→∞) [(sin²n) / (n³√n + n)] / (1 / n^⁷/₂)
= lim(n→∞) [(sin²n) / (n³√n)] / (1 / n^⁷/₂)
= lim(n→∞) (sin²n)
DNE
Since the limit does not exist, the limit comparison test is inconclusive.
twice the cube root of a number is 24. find the number
Answer:
A cube number is the answer when an integer is multiplied by itself, then multiplied by itself again. The first five cube numbers are: 1, 8, 27, 64 and 125. ...
What is an equation in point-slope form of the line that passes through (−7, 1) and (−3, 9)?
A. y + 3 = 2(x − 9)
B. y − 3 = 2(x + 9)
C. y + 9 = 2(x − 3)
D. y − 9 = 2(x + 3)
Don’t understand b) pls explain
Answer:
−s2+2st−t2−s+t
Step-by-step explanation:
−(s−t)−(s−t)2
distributed would be
−s+t+−s2+2st+−t2
Answer:
Below in bold.
Step-by-step explanation:
-(s - t) - (s - t)^2 Take out (s - t):
= (s - t)( -1 - (s - t)
= (s - t)(t - s - 1). <---- Factored form.
Or, if you want to expand the expression:
-(s - t) - (s - t)^2
= - s + t - (s^2 - 2st + t^2)
= -s^2 + 2st - t^2 - s + t.
A subway ride is $2.25 per ride.
a. Write a model for the cost (in $) for x rides on the subway.
b. A commuter can purchase an unlimited- ride Metrocard for $89 per month. How many rides are required for a commuter to save money by buying the metrocard?
Answer:
yuh
Step-by-step explanation:
yuh
what is 317.59 ÷ 34? PLEASE HELP PLEASE ASAP
Answer:
9.34088235
Step-by-step explanation:
Divide 317.59 by 34 .
I need help with my homework
The value of X=37
hope this helps :)
X= 12^2 + 35^2
= √1369
= 37
Answer:
37
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c², with a and b being the 2 shortest sides of the triangle, and c being the longest.
a² b² c²
12² + 35² = 1369
Once you have c², you need to find the square root of c² to get c.
The square root of 1369 is 37. c=37
Write 27 as a product of primes.
Use index notation where appropriate.
Answer:
3 x 3 x 3 = 3^3
Step-by-step explanation:
27 as a product of it's primes = 3 x 3 x 3 In index notation= 3^3
Solve the following system of equations.
(15 Points)
5x + 10 = -5y & x + y = -2
Answer:
x = -2-y
Step-by-step explanation:
On Wednesday, every 8th customer at Ms. Wade's bagel shop will get a free coffee. Every 12th customer will get a free bagel. Which customer will be the first to get a free coffee and a free bagel?
Answer: The 24th customer.
Step-by-step explanation:
8th customer: Free Coffee 12th customer: Free Bagel
16th customer: Free Coffee 24th customer: Free Bagel
24th customer: Free Coffee
You're welcome!
Answer:
person above me is correct
Step-by-step explanation:
X-7y=10 and 2x+14y=21 is it parallel, perpendicular or neither and why
Answer:
Not perpendicular and not parallel.
Step-by-step explanation:
The equations are not perpendicular because the slopes of the two lines are not negative reciprocals.
The equations are not parallel because the slopes of the two lines are not equal.
Do the ordered pairs represent a function? {(1,3),(4,12),(5,15),(6,18)}
No (two y-values for one x-value)
Yes (one y-value for each x-value)
Yes (two y-values for one x-value)
No (one y-value for each x-value)
Answer:
I GUESS ITS NO(TWO VALUES FOR ONE X VALUE) I DONT KNOW IF ITS CORRECT IM JUST GUESSING
Step-by-step explanation:
Elmer works in a computer store. He is paid a weekly salary $180 and a commission of 4.5% of all sales. One week, he sold $9770 worth of merchandise. How much did Elmer earn that week?
Answer:
$619.65
Step-by-step explanation:
We know that he gets paid 180 a week, but we don't know how much he got from the commission of his sales. To find it, you multiply 9770 by 0.045 (because 0.045 = 4.5%) which you get 439.65. You then add the 180 to get 619.65.
9770 * 0.045 = $439.65
$439.65 + $180 = $619.65
Elmer earned $619.65 in that week.
will the square roots of perfect squares always be irrational numbers
No, the square roots of perfect squares always do not be irrational numbers.
We need to describe whether the square roots of perfect squares always be irrational numbers.
What are perfect squares?A perfect square is a positive integer that is obtained by multiplying an integer by itself. In simple words, we can say that perfect squares are numbers that are the products of integers by themselves. Generally, we can express a perfect square as x², where x is an integer and the value of x² is a perfect square.
Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0).
So, the square roots of perfect squares are rational numbers and can be placed on a number line. The square roots of non-perfect squares are irrational numbers.
No, the square roots of perfect squares always do not be irrational numbers.
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10 friends (6 boys and 4 girls) decided to go to the movies. They only have enough money to buy 7 tickets.
What is the probability that 5 boys and 2 girls get the movie tickets?
Answer:
0.3
Step-by-step explanation:
The number of ways to choose 5 boys from 6 is ₆C₅.
The number of ways to choose 2 girls from 4 is ₄C₂.
The number of ways to choose 7 people from 10 is ₁₀C₇.
P = ₆C₅ ₄C₂ / ₁₀C₇
P = 6 × 6 / 120
P = 0.3
whats the name of the fifth American president
Answer:
the fifth president name was James Monroe
. Where does the line y = 3x + 5 cross the y-axis?
Answer: at 5
Step-by-step explanation: the 3 is the slope and the 5 is the y intercept. The y-intercept corresponds to the value of 5 when the x value is equal to 0
Based on what we know about the formula of a straight line, the line above would cross the y-axis at 5.
The formula for a straight line takes the form:
y = mx + c
m = Gradient
c = y-intercept
The line described takes the form of y = 3x + 5.
5 is therefore c in the formula of a straight line so we can infer that it is the point where the y-axis is crossed.
In conclusion, the y-axis is crossed at 5.
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Jose and Mila are buying jelly beans. Jose’s bag of jelly beans weighs 1.5 pounds. Mila’s bag of jelly beans weighs 2.75 pounds. If the jelly beans cost $4.00 per pound, how much will the jelly beans cost altogether?
17 dollars total for Jose and Mila's jelly beans.
Add 1.5 and 2.75 together to get 4.25
Multiply 4.25 by 4 to get 17
the value of the 3 in 783.97 is blank the value as the 3 in 6.529.34
Answer:
the first 3 is 30 the second is 3/10
Step-by-step explanation:
Select each points that are colinear
A. H,C,B
B. Z,K,R
C. B,R,Z
D. H,B,K
E. C,H,J
Answer:
a
Step-by-step explanation:
its a
A family spends $540 every month on food. If the family's income each month is $1800, what percent of the family's income is spent on food?
Answer:
1,260
Step-by-step explanation:
This is if you subtract those numbers up you would get 1,260
Help!! I’ll mark you brainly
Answer:
Two points that satisfy include (-2,5) (0,0) (2,-5) (I know this is more than 2, but in case the (0,0) origin isn't allowed.
Step-by-step explanation:
This is 5x+2y=0
Screenie is the 5x+2y=0 btw
Hope this helps!
cómo se escribe el número 88,317
Answer:
Eighty-Eight thousand three hundred seventeen
Step-by-step explanation:
Answer:
ochenta ochenta mil trescientos diecisiete
Step-by-step explanation:
No estoy seguro de lo que quiere saber. Asumo que estás preguntando cómo escribirlo en palabras. Pero todavía no estoy tan seguro. Por favor, avíseme si necesito resolverlo de otra manera.