What is the completely factored form of this polynomial?
18x3 – 120x2 - 42x
Write the greatest common factor (GCF) first, and write all factors in standard form.
Answers
Answer:
6x(3x + 1)(x - 7)
Step-by-step explanation:
First look for the greatest common factor of the 3 terms.
The GCF is 6x, so
18x^3 – 120x^2 – 42x
= 6x(3x^2 - 20x - 7)
Now we look to factor the quadratic expression in the parentheses:
The first and last coefficients are multiplied
3 * -7 = -21.
We look for 2 numbers whose product is -21 and whose sum is -20:
They are -21 and + 1 , so we write:
6x(3x^2 - 21x + 1x - 7)
= 6x [ (3x(x - 7) + 1(x - 7)] Note that x - 7 is common, so:
= 6x(3x + 1)(x - 7) Answer
Answer:
Step-by-step explanation:
Related Questions
00:00 Choose all of the addition problems in which you add zeros to align place values in the addends. A. 0.04 + 5 + 3.2 B. 18.9 +0.7 C. 1.2 +5.75 +2.8 D. 6.23 + 11.01 + 4.99 o E 15.03 - 23.23
Answers
The length of a car is [tex]\sqrt{163}[/tex] ft. Will this car fit in a garage that measures 10 ft long? If not, what is the minimum length of a garage long enough for this car?
Answers
Step-by-step explanation:
example:
{163} you dont enough the texWILL MARK BRAINLIEST !!!!
Neveah has created the function f(x) = the quantity of 2x plus 4, divided by 3 to represent the growth of her hair, where x represents the number of months since her last hair cut. Neveah discovers that, using the inverse function to solve for x = 6, she can predict when her hair will have grown 6 inches. Explain to Neveah how to accomplish this, using complete sentences.
Answers
Therefore, growth of her hair is 6 inches in 7 months.
Step-by-step explanation:
Solve for y.
7v + 25 = 5(v + 7)
Simplify your answer as much as possible.
Answers
Answer:
v = 5
Step-by-step explanation:
Distribute on the left:
5 ( v + 7 )
( 5 x v ) + ( 5 x 7 )
5v + 35
7v + 25 = 5v + 35
Subtract 5v from each side:
2v + 25 = 35
subtract 25 from each side:
2v = 10
Divide each side by 2:
v = 5
Please explain how you do it
Answers
Answer:
3^3+(4^3-7^2+3)/3^2
3^3+(64-49+3)/3^2
3^3+(15+3)/3^2
3^3+(18)/3^2
45/3^2
45/9
5
Step-by-step explanation:
How many solutions are there to the equation below?
7(x + 2) = 7x-10
A. Infinitely many
В. 0
C. 1
Answers
If the school is located at (9, 16) and the bakery is located 5 units to the right. What is the ordered pair that would represent the bakery's location?
Answers
Answer:
[tex](14, 16)[/tex]
Step-by-step explanation:
If the bakery is located to the right of the school, then we will add [tex]5[/tex] to the x-value of the school to get the bakery's coordinates.
So, the answer is [tex](9+5, 16)=\boxed{(14, 16)}[/tex]
Answer:
(14, 16)
I added 5 to 9 because 9 is on the X-Axis.
why did the Europeans come to north america
Answers
Answer:
They wanted to spread Christianity. They also hoped to gain new lands and wealth for their countries. Finally, you read about the valuable cargo of New World plants that explorers brought back to Europe.
Find the greatest common factor of the following numbers?
Answers
Answer:
where are the numbers?
Step-by-step explanation:
where are the numbers
What is the function?
A. Ax) = 2(2.54)
B. f(x) = 5(24)
C. 8(x) = 2.5(24)
O D. f(x) = 2.5(54)
Answers
Answer:
c
Step-by-step explanation:
what is the final transformation in the composition of transformations?
Answers
Answer:
A composition of transformations is a combination of two or more transformations, each performed on the previous image. A composition of reflections over parallel lines has the same effect as a translation (twice the distance between the parallel lines).
Step-by-step explanation:
Translate into an inequality
A number w increased by 8 is at most -23
1) less than 2) greater than 3) less/equal to 4)greater/equal to
Answers
Answer:
w + 8 ≥ -23
Step-by-step explanation:
Enter the number in scientific notation. 33,254 = x10
Answers
Answer:
33254=3.3254*10^4
Step-by-step explanation:
You use the hint
A number written in an addition sentence by place value position is written in:
It has to be one of these, word form, expanded form,normal form,standard form or exponential form.
Answers
Answer:
normal form
Step-by-step explanation:
A real estate agent has $500 to spend on newspaper ads. If each ad costs $100, how many ads will the real estate agent be able to buy?
Answers
One factor of f(x) = x^3 - 3x^2 - 28x + 60 is (x - 6). What are the zeros of the function? Please show and explain all your steps. Thank you for your help.
Answers
Answer:
Step-by-step explanation:
f(x) = x^3 - 3x^2 - 28x + 60
x(x^2-3x-28)+60
Factor the inside of the parenthesis
Multiples of 28: (1X28),(2X14),(4X7). 7-4=3, 7 & 4 is the correct multiple.
x(x-7)(x+3)+60
Roots: 0,7,-3,6
Also you can plug your function into Desmos and see where it crosses the x-axis.
Main idea: Ratios, rates, and unit rates 1. Fill in the blanks to define the terms. A ratio _______________ two quantities. A proportion is an equation stating that two _______________ are equal. A rate compares two quantities that have different _______________. 2. Complete the statement to describe unit rates. Then identify whether each ratio is a unit rate by placing an X in the appropriate column. A unit rate is a ratio that compares an amount of one quantity to _______________ unit of another quantity.
Answers
Here you go!
1. Fill in the blanks to define the terms.
A ratio ___is a comparison between_____ two quantities. A proportion is an equation stating that two ____ratios____ are equal. A rate compares two quantities that have different ____units______.
2. Complete the statement to describe unit rates. Then identify whether each ratio is a unit rate by placing an X in the appropriate column.
A unit rate is a ratio that compares an amount of one quantity to ____one_____ unit of another quantity.
Hope this helps :D
At a pet store the ratio of cats to dogs sold was 6 : 5. If there were 12 cats that were sold, how many dogs were sold?
Answers
Which means for every 6 cats sold 5 dogs are sold.
Is 12 cats are sold: 6*2=12
Because we multiply the number of cats sold by 2 we do the same for dogs:
5*2=10.
So, if 12 cats are sold then 10 dogs are sold.
The answer is 10.
Hope this helped.
Solve for x !!!!!!!!
Answers
Answer:
x = 9
Step-by-step explanation:
to find the value of x
11x - 11 = 110 (alternate exterior angles are equal)
Substitute
11x = 110 -11
11x = 99
x = 99 ÷ 11
x = 9
Answer:
x=11
Step-by-step explanation:
Because 110= 11x-11, you can use this equation to solve.
First, add 11 to both sides:
121=11x
Then divide by 11:
11=x ------> x=11
Hope this helps!
HELP QUIC
What is the value of x?
Enter your answer in the box.
Answers
if dane walks 20 feet then walks beack 80. how far did he travel?
Answers
Answer:
-20
Step-by-step explanation:
-20
Which inequality represents this graph?
Answers
Answer:
Last option, "y is greater than or equal to -1/3 x + 1"
Step-by-step explanation:
y represents any value in the shaded region, and since the region is above the line, that's how you know it's greater than the line. You also know the sign is greater than or equal to (rather than just greater than), because the line on the graph is solid, instead of dotted.
Hope this makes sense :)
When solving an equation using desmos, how many solutions do you have when a single vertical line crosses the x-axis?
Answers
Only 1 solution because you pass through the x-axis only once. Here is an example image below.
If I could get help thank u!
Answers
James bought 4 goldfish, and his Mom got him 4 more for his birthday. What size tank (in gallons) does James need to hold all of the full-grown fish?
Answers
Answer:
I would say about 20 feet. Just because for all the furniture and stuff like that.
Step-by-step explanation:
Hope this helps:)
The length of a rectangle is 3 more than twice its width. If the
perimeter of the rectangle can be no more than 78 ft, what are all of
the possible widths of
the rectangle?
.
Answers
Answer:
x <= 9.75
Step-by-step explanation:
W = x
L = 3x
P = 2L + 2W <= 78
2(3x) + 2(x) <= 78
6x + 2x <= 78
8x <= 78
x <= 9.75
Use the distributive property to remove the parentheses.
-8(6w-x-2)
Answers
Answer: -48x+8x+16
You just multiply every term in the parentheses
h(x)=x2-x;h(5) find function
Answers
Answer:
h(5) = 20
Step-by-step explanation:
Assume that '2' is an exponent.
So the question for you should be:-
[tex] \displaystyle \large{h(x) = {x}^{2} - x}[/tex]
We want to find h(5); we substitute x = 5 in.
[tex] \displaystyle \large{h(x) = {5}^{2} - 5}[/tex]
5^2 is 5•5 = 25.
[tex] \displaystyle \large{h(x) = 25 - 5} \\ \displaystyle \large{h(x) = 20}[/tex]
Therefore, h(5) is 20.
moniquemfv
me responde prv
te peço
Answers
Answer:
Que?
Step-by-step explanation:
please help me on all of them if u can
Answers
Answer:
1) x² + x
2) 2x² - x
3) 4x² + 3x
4) 2x² - 3x
5) 4x - 3x²
6) x + x²
Step-by-step explanation: