Answer:
[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]
Step-by-step explanation:
Firstly, divide all parts of the equation by 3:
[tex]3x^3 + 3x^2-36[/tex]
[tex]3(x^3 + x^2-12)[/tex]
Now focus on the equation:
[tex]x^3 + x^2-12[/tex]
We know that the equation can be factored using x so we know that (x +- unknown) is the factor. We need to find the easiest way to factor this, lets find the factors of 12:
1 12
2 6
3 4
1 and 12 won't work so let's try 2 and 6, initially start as a negative 2:
[tex]\frac{ x^3 + x^2 - 12}{x - 2}[/tex] = [tex]x^2 + 3x + 6[/tex]
We can confirm this is simplified by multiplying together:
[tex](x - 2) (x^2 + 3x + 6)[/tex]
[tex]x* x^2 = x^3\\x * 3x = 3x^2\\x * 6 = 6x\\-2 * x^2 = -2x^2\\-2 * 3x = 6x\\-2 * 6 = -12[/tex]
= [tex]x^3 + x^2 - 12[/tex]
Meaning it is simplified.
Now, put the equations together:
[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]
Hope this helps!
I NEED A 100% ACCURATE ANSWER FOR THIS ASAP NO LINKS !!!
Solve the following: 7y−20=3y+12
1: y= 3.2
2: y=8
2: y= -8
4: y= 28
Answer:
I think its y=8
Step-by-step explanation:
7y-20=3y+12
7y-3y=12+20
4y=32
y=32/4
y=8
What is the difference?
Х
1
x?+3x+2 (x+ 2)(x+1)
(x+2)(x+1)
X-1
6x+4
-1
4x+2
1
X+ 2
x-1
x² + 3x+2
2
Step-by-step explanation:
your correct answer is the last one (x-1)/x²+3x+2.
the second equation lcm will be x²+3x+2 if you expand it .
hope this helps you.
The difference of the Expression is (x -1) / (x² + 3x + 2).
What is Expression?In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows:
(Number/variable, Math Operator, Number/variable) is an expression.
We have,
x/ (x² + 3x + 2) - 1/ (x+ 2)(x+ 1)
Now, simplifying the expression as
x/ (x² + 3x + 2) - 1/ (x+ 2)(x+ 1)
= x/ (x² + 2x + x + 2) - 1/ (x+ 2)(x+ 1)
= x/ x(x+ 2) + (x+ 2) - 1/ (x+ 2)(x+ 1)
= x/ (x+2) (x+1) - 1/ (x+ 2)(x+ 1)
= (x-1) / (x+ 2)(x+ 1)
= (x -1) / (x² + 3x + 2)
Thus, the difference of the Expression is (x -1) / (x² + 3x + 2).
Learn more about Expression here:
brainly.com/question/14083225
#SPJ7
Pythagorean theorem digital escape can you find the length and area and type the correct code?
The length of TU in the right triangle is 156.15 m.
The area of the rectangle is 12335.85 m²
The length of GH in the right triangle is 182.33 m
The area of the triangle is 8934.17 m²
Right angle triangleRight angle triangle are triangle that has one of its angle as 90 degrees. The sides of the triangle can be found using Pythagoras theorem. Therefore, using Pythagoras theorem,
TU² = 175² - 79²
TU² = 30625 - 6241
TU² = 24384
TU = √24384
TU = 156.153770368
TU = 156.15 m
area of rectangle = lw
area of rectangle = 156.15 × 79
area of rectangle = 12335.85 m²
GH² = 207² - 98²
GH² = 42849 - 9604
GH² = 33245
GH = √33245
GH = 182.33211456
GH = 182.33 m
Area of the triangle = 1 / 2 bh
Area of the triangle = 1 / 2 × 98 × 182.33
Area of the triangle = 17868.34 / 2
Area of the triangle = 8934.17 m²
learn more on right triangle here: https://brainly.com/question/22897958
en la feria del condado, la calabaza con la cinta roja pesaba 108 libras menos que la calabaza con la cinta azul. cuanto pesaba la calabaza con la cinta azul?
Answer:
sorry i dont know
Step-by-step explanation:
Find the equation (in terms of x ) of the line through the points (-1,4) and (2,-5)
Answer:
( 1 , -3 ) for every +1 on the x line you go -3 on the y I hope this is what you need
Which of the numbers below is greater than zero? Select all that apply.
A)0.8
B)4.5
C)14
D)−2.25
E)−0.5
Taco Tuesday math paper restraint
A 98% confidence interval for a proportion is found to be (0.62, 0.68).
What is
the sample proportion?
O A. 0.66
OB. 0.64
O C. 0.65
O D. 0.68
Answer:
I think the answer is C ,The sample proportion is the fraction of samples which were successes, so. (1) For large , has an approximately normal distribution.
Step-by-step explanation:
If the queston true please votes 5 stars and mark as brainliest for me.Thank you so much
Given that a 98% confidence interval for a proportion is found to be (0.62, 0.68). The sample proportion will be 0.65.
What is confidence interval for population proportion?Formula to calculate the confidence interval for population proportion p :-
[tex]p' - Z_{\alpha }\sqrt{\frac{p'q'}{n} } < p < p' + Z_{\alpha }\sqrt{\frac{p'q'}{n} }[/tex]
Where,
p is the population proportion.
p' is the sample proportion.
n is the size of the sample.
[tex]Z_{\alpha }[/tex] is the desired degree of confidence.
Given that a 98% confidence interval for a proportion p is found to be (0.62, 0.68).
[tex]p' - Z_{\alpha }\sqrt{\frac{p'q'}{n} } = 0.62\\\\p' + Z_{\alpha }\sqrt{\frac{p'q'}{n} } = 0.68[/tex]
Adding the two equations,
2p' = 1.3
p' = 0.65
Learn more about confidence interval for population proportion here
https://brainly.com/question/13686615
#SPJ2
simplify (3x³)⁴.......
Answer:
(3x)¹²
Step-by-step explanation:
(3x³)⁴ can be simplified into (3x)¹²
The simplified value of the given expression is 3x¹²
What is simplification?Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler, usually shorter.
Given that, an expression (3x³)⁴
Using the identity = (xᵃ)ᵇ = xᵃᵇ
(3x³)⁴ = (3x)³ˣ⁴ = 3x¹²
Hence, the simplified value of the given expression is 3x¹²
Learn more about Simplification , click;
https://brainly.com/question/2804192
#SPJ2
PLEASE HELP ME WITH THIS QUESTION PLEASE
and show your steps please I really need help with this question please help please
Answer:
a. 2.2 m
b. 8 m
Step-by-step explanation:
4) a. Sin 32 = x/4
= (sin 32)(4) = x
b. Cos 65 = 4.5/x
x = 4.5/Cos 65
Find the equation of the linear function represented by the table
Y 2 7 12 17
x 1 2 3 4
Answer:
Step-by-step explanation:
(1, 2) (2, 7)
(7-2)/(2 - 1) = 5/1= 5
y - 2 = 5(x - 1)
y - 2 = 5x - 5
y = 5x - 3
Bailey wants to find 0.4 × 0.9. Part A Which of the following grids models the problem? A. Hundred grid. Four grid blocks shaded horizontally and nine grid blocks shaded vertically. The intersection is one grid block. B. Hundred grid. Four columns shaded vertically and nine rows shaded horizontally. The intersection is 36 grid blocks. C. Hundred grid. Six columns shaded vertically and one row shaded horizontally. The intersection is 6 grid blocks. D. Hundred grid. Eight columns shaded vertically and three rows shaded horizontally. The intersection is 24 grid blocks.
Answer:
B
Step-by-step explanation:
It seems like the answer would be B since 0.4 x 0.9 = 0.36 and the intersection for answer choice B is 36 grid blocks.
The correct equation of the given grids models the problem is,
⇒ Hundred grid. Four columns shaded vertically and nine rows shaded horizontally. The intersection is 36 grid blocks.
Option B is true.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Bailey wants to find the value of 0.4 × 0.9.
Now,
After multiplication, we get;
⇒ 0.4 × 0.9
⇒ 0.36
Hence, By all the options;
The correct equation of the given grids models the problem is,
⇒ Hundred grid. Four columns shaded vertically and nine rows shaded horizontally. The intersection is 36 grid blocks.
Option B is true.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ3
PLS HELO THANK YOUUUUU
Answer:
divide 500 by 125.
You get 4x = 568
Answer is 142
Happy Learning
Answer:
142
Step-by-step explanation:
I NEED A 100% ACCURATE RIGHT ANSWER ASAP NO LINKS !!!
it's 8=8 meaning it is always true, and infinity.
Answer: all real num.
Step-by-step explanation:
4(a+2) = 8+4a
4a+8 = 8+4a
It can be all real number.
please help with question.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given pair of lines are parallel to one another ~
The solution is in attachment
Answer:
neither
Step-by-step explanation:
45 to 60 using percent of change unit.
Answer:
A change from 45 to 60 represents a positive change (increase) of 33.3333333333%
Step-by-step explanation:
Percent change = 60 - 45
45
× 100 = 33.333333333333 % (increase)
Answer:
33.3% increase
Step-by-step explanation:
Percent of Change =
[tex] \frac{change}{original} [/tex]
The change would be 15:
60 - 45 = 15
So the percent of change would be:
15/45 = 1/3 = 33.3% increase
Hope this helps! Brainliest would be appreciated!
Can someone help me understand this and give me the answer?
A photographer made a 5-inch by 8-inch print of a photo. He then made a 10-inch by 16-inch print of the same photo.
Which scale factor was used to create the larger photo from the smaller photo?
(-10)-[9+(-3)]×2²÷(-8)
Answer:
-7
Step-by-step explanation:
what is 3/5 x 7/9 equivalent to 3/5 divided by 7/9
Step-by-step explanation:
It's 27/35, so 27/1 * 1/35
Answer:
0.31 (correct me if I'm wrong)
Step-by-step explanation:
3/5*7/9=0.463/5 divided by 7/9=0.770.77-0.46=0.31The associative property is shown by the following: 5(3+1)=5(3) + 5 (1)
Graph the line whose x-intercept is -5 and whose y-intercept is -9.
Here is how you're line should look!
Triangles PQR and XYZ are similar. What is the length of XZ?
Help if so omg ur amazing
Answer:
12/35 of the road
Step-by-step explanation:
To find 2/5 of 6/7 you simply multiple and simplify if possible.
2/5 * 6/7 = (2*6)/(5*7) = 12/35
welp. this is 9marks question
Answer:
4
Step-by-step
Describe the error Sadie made, and explain how to find the correct answer.
Answer:
did not simplify correctly
Step-by-step explanation:
just cuz
The Davis's drank 9 gal 1 qt of milk last month and 7 gal 2 qt this month. How much milk is that?
9 gallons + 7 gallons = 16 gallons
1 qt + 2qt = 3 qts
Total = 16 gallons and 3 qts.
5. Write a real-world problem that can be represented by the
expression 21 + (12 x 2).
Step-by-step explanation:
Anna Bought 3 Toys each worth 7$. after the purchase, it is announced that the price of the toys has risen to 12$, and Anna decides to Buy 2 More toys before the price rises again. in total, how much did Anna Spend?
Please help what is 399/20 simplified
Answer:
19 19/20 in fraction
19.95 as a decimal
Step-by-step explanation:
Answer:
19 and 19/20
Step-by-step explanation:
The bar in a fraction stands for dividing
so you divide 399 by 20 which is 19 and 19 remainder
you turn the remainder into a fraction and the number into a whole number
What is the answer to this equation
Answer:
-34/45
Step-by-step explanation:
first step you wanna do is Multiply the numbers -1/5- 1 (-2/3)- (5/6)= -1/5 and -5/9 then subtract those two fractions and you get -34/45 since both of the fractions were negative the answer results as a negative aswell