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.
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:
Amy has 1275 less than her brother ben .then ben spends 550 and amy gets 750 . who has more money now?
Amy because Ben spend the less money then
amy get more money
Amy has more money than her brother after all transactions.
What is an equation and an expression?An equation is a statement that the depicts the values of two mathematical expressions as equal using an (=) sign. Example -
2x = 5
An expression is written using individual terms (either constant or variable) separated by mathematical operations. Example -
3x + 5y + 3
We have Amy who has $1275 less than her brother ben. Ben spends $550 and Amy gets $750.
Assume that the money with Ben and Amy after transactions is $x and $y respectively. Let Ben has a initial amount of $m and Amy has of $n.
n = m - 1275
After transactions -
x = m - 550
y = m - 1275 + 750 = m - 525
Now -
m - 525 > m - 550 for every value of [m].
So, now Amy has more money.
Therefore, Amy has more money than her brother after all transactions.
To solve more questions on equations and expressions, visit the link below-
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You are looking at the New York ball drop on New Year’s Eve at a distance of 100 m away from the base of the structure. If the ball drops at a constant rate of 2 m/s, what is the rate of change of the
angel between you and the ball when the angle is ( ?
The question is an illustration of related rates.
The rate of change between you and the ball is 0.01 rad per second
I added an attachment to illustrate the given parameters.
The representations on the attachment are:
[tex]\mathbf{x = 100\ m}[/tex]
[tex]\mathbf{\frac{dy}{dt} = 2\ ms^{-1}}[/tex] ---- the rate
[tex]\mathbf{\theta = \frac{\pi}{4}}[/tex]
First, we calculate the vertical distance (y) using tangent ratio
[tex]\mathbf{\tan(\theta) = \frac{y}{x}}[/tex]
Substitute 100 for x
[tex]\mathbf{y = 100\tan(\theta) }[/tex]
[tex]\mathbf{\tan(\theta) = \frac{y}{100}}[/tex]
Differentiate both sides with respect to time (t)
[tex]\mathbf{ \sec^2(\theta) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot \frac{dy}{dt}}[/tex]
Substitute values for the rates and [tex]\mathbf{\theta }[/tex]
[tex]\mathbf{ \sec^2(\pi/4) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}[/tex]
This gives
[tex]\mathbf{ (\sqrt 2)^2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}[/tex]
[tex]\mathbf{ 2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}[/tex]
Divide both sides by 2
[tex]\mathbf{ \frac{d\theta}{dt} = \frac{1}{100} }[/tex]
[tex]\mathbf{ \frac{d\theta}{dt} = 0.01 }[/tex]
Hence, the rate of change between you and the ball is 0.01 rad per second
Read more about related rates at:
https://brainly.com/question/16981791
6d+8=3d+1 solve for the value of d
Answer:
-7/3
Step-by-step explanation:
6d + 8 = 3d + 1 (subtract 3d from both sides)
3d + 8 = 1 (now subtract 8 from both sides)
3d = -7 (divide both sides by 3)
d = -7/3
Answer:
Step-by-step explanation:
6d+8=3d+1
3d+8=1
3d=-7
D=-7/3
Which fraction is equal to 0.245 repeating
Answer:
The answer is option B!
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
Judy earns $65 for working 5 hours. Find the constant of variation
Answer:
13 dollars an hour.
Step-by-step explanation:
65/5 = 13
total/time = constant of variation
ill give you a bouns of 50 points if you get these right. and brainlyest
Answer:
4= -6m
6= 39.1-12x
8= 28a-7
10= 1/8x(h+56)
Step-by-step explanation:
hope this helps if not sorry :)
2. If h(x) = 5x - 7 , for what value of x is h(x) = 23
Answer:
x=6
Step-by-step explanation:
5x-7=23
5x-7 +7=23+7
5x=30
30/5=6
x=6
If i get good grades in 8th grade will it affect the classes I get in 9th grade?
Answer:
It will result if you have advanced classes or get an Ap class
Step-by-step explanation:
It will not affect your 9th grade..
Yet, you should work hard to achieve your aim and gain knowledge not for getting better marks.
Here is a part 2 to my question
Answer:
1st is (D.) 2nd is (C.) 3rd is (D.) 4th is (A.) 5th is (C.)
What is the least common denominator of 1/2 and 17/20
In this lesson you discovered the Angle Blsector Conjecture. Write the converse of the Angle Blsector Conjecture. Do you think it's true. Why or why not?
Answer: The converse is that if a point is on the interior of an angle and is equidistant from both sides of the angle, then the point lies on the angle bisector. This makes sense since the distance from a point and a side of the angle is a perpendicular line connecting the point to a side. And since it is equidistant from both sides, the perpendicular lines have to be congruent, it make sense if the point is on the angle bisector, the traingles would be congruent.
Step-by-step explanation: The explanation is in the answer.
the number of painted turtles in a pond is ten less than one-third of the number of frogs. Let f represent the number of bullfrogs. Write an expression for the number of painted turtles
The expression for the number of painted turtles in the pond will be 1/3f - 10.
Let the number of bullfrogs be represented by f.
From the given information, the number of painted turtles in a pond is ten less than one-third of the number of frogs, the expression for this will be:
= (1/3 × f) - 10
= 1/3f - 10
Therefore, the expression for the number of painted turtles in the pond will be 1/3f - 10. This implies that we have to multiply the fraction by f and then subtract 10 from the value.
In conclusion, the correct option is 1/3f - 10.
Read related link on:
https://brainly.com/question/24950597
HELP PLEASE BRAINIEST IF CORRECT!!!!!
Answer:
1/4
Step-by-step explanation:
Jim is going from Town A to Town B. Town B is located at (-4, 5). He makes a stop at his friend’s house, which is halfway along the trip. What are the coordinates of his stop?
Answer:
tạo độ của anh ấy dừng là:
Step-by-step explanat ion(:-2,2.5)
32 450 to nearest thousand
Answer:
32,000 or 32 thousand
Step-by-step explanation:
When looking at thousands, we must determine if the hundreds place has more than 5 which would be half of a thousand. So... if there would have been 32500, then the answer would have been 33,000 because there were 500.
Since there are only 450, we are going to have to round back to 32,000 since the number isn't large enough.
-kiniwih426
Stan’s Skate Shop is having a sale on skateboards. The original price for its Extreme Skateboard was $84.50. The sale price for the skateboard is $50.70 What is the percent decrease in the price of the skateboard?
Answer:
40
Step-by-step explanation:
x^2-25y^2+6x+18=0
help me
Answer:
im not very good at that but my best problematic ratio is deviding the x ponet by the ^ and then using your y ponet multiplyed by your first couple of numbers which are "x^2"
Someone plz help URGENTLY will mark brainliest plz no links or will be reported
Step-by-step explanation:
Given the function, f(x) = -3x + 4, you basically need to choose any input (x-value) and substitute those values into the function.
f(0) = -3x + 4, where the input is x = 0.f(0) = -3(0) + 4
f(0) = 0 + 4
f(0) = 4 [this is the value of your final column, in the f(x)].
2. f( 1 ) = -3( 1 ) + 4, where the input is x = 1.
f( 1 ) = -3( 1 ) + 4
f( 1 ) = -3 + 4
f( 1 ) = 1 [this is the value of your final column, in the f(x)].
3. f(2) = -3(2) + 4, where the input is x = 2.
f(2) = -6 + 4
f(2) = -2 [this is the value of your final column, in the f(x)].
All you need to do is plot the following points on your graph:
{(0, 4), (1, 1), (2, -2)}
help plzz ill gve brailiest
Answer:
The 2nd answer is the correct
Step-by-step explanation:
Hope this helps:)
Which fraction is equal to 0.7 repeating
Answer:7/9
Step-by-step explanation:
Answer:
7/9
Step-by-step explanation:
I hope this helps you.
at which point does the line y=2-x intersect the circle (x-3)^2+y^2=25
Answer:
Step-by-step explanation:
(6,-1) and (3,4)
Helpppppp omggg I’m gonna fail
Answer:
D.
Step-by-step explanation:
-2(9/4)^2
+9 (9/4)+5
Answer:
15.125
hope it helps-
Answer:
fraction form: 121/8
decimal form: 15.125
Step-by-step explanation:
A number is 6 times another number and their sum is 28.what are the two numbers
Answer: Let the 2 numbers be x and
sum of two numbers is 28....Eq 1: x + y = 28
sum of 6 times the 1st number and 3 times the 2nd number is 105....Eq 2: 6x + 3y = 105
Rearrange Eq 1 to solve for x.
x + y = 28
x = 28 - y --> Substitute into Eq 2, you get
6(28 - y) + 3y = 105
168 - 6y + 3y = 105
-3y = -63
y = -63 / -3 = 21
Now solve for x using Eq 1.
x = 28 - y = 28 - 21 = 7
hope it helped
Step-by-step explanation:
Please help me ASAP!!!!!!!!!!!
Smallest 2-digit number: 23
3-digit number closest to 300: 276
Hope it helps you! ✺ ✺ ✺ ✺ ✺ ✺ ✺
[tex]ANSWERED:\\GraceRosalia[/tex]
Find three consecutive positive integers such that the product of the second integer and the third integer is 20.
List at least 4 common variable expenses someone might have each month.
Answer:
water, food, toliet paper, toothpaste
Step-by-step explanation:
Please help me I need this done in like 10 minutes!!
Find the solution for this system of equations.
2x-3y=2
х= 6у-5
How many 1/4 cup servings are in 4 cups?
Answer:
16
Step-by-step explanation:
there are 4 1/4 servings in one cup
there are 4 cups so 4×4
Answer:
The answer of this would be 4.
Step-by-step explanation:
1/4 + 1/4 + 1/4 + 1/4 = 4
