I need help with factoring trinomals.
Please explain how you got the answer.
Answers
9514 1404 393
Answer:
(x +6)(3x +4)
Step-by-step explanation:
The usual approach to this is to look for factors of the product 3·24 that have a sum of 22.
72 = 1·72 = 2·36 = 3·24 = 4·18 = 6·12 = 8·9
Sums of these factor pairs are 73, 38, 27, 22, 18, 17.
Now, you can rewrite the expression splitting the middle term into two parts:
3x² +4x +18x +24
x(3x +4) +6(3x +4) . . . . . . factor by grouping
(x +6)(3x +4) . . . . . . . . . . your factored form
_____
Additional comment
I find this method easiest to explain and to do without error. There are various "X" methods in which you write the product at the top (3·24) and the sum at the bottom (22), then fill in the sides with the factors having that product and sum (4, 18). When the leading coefficient is not 1, there are methods added to this that get you to the correct factors.
One such method is to use the leading coefficient inside parentheses: (3x+4)(3x+18) Then divide that product by the leading coefficient:
(3x +4)(3x +18)/3 = (3x +4)(x +6).
In some cases, each of the binomials needs to be divided by part of the leading coefficient; not the whole thing, as here.
[tex]\\ \sf\Rrightarrow 3x^2+22x+24[/tex]
Use midterm splitation[tex]\\ \sf\Rrightarrow 3x^2+18x+4x+24[/tex]
Take 3x and 4 common[tex]\\ \sf\Rrightarrow 3x(x+6)+4(x+6)[/tex]
Simplify[tex]\\ \sf\Rrightarrow (3x+4)(x+6)[/tex]
Done!
Related Questions
please need help! it’s discrete math!!
Answers
Answer:
B
Step-by-step explanation:
It's easy.
Answer:
Free
is all I see
Step-by-step explanation:
___% of 75 is 25
Please help
Answers
Answer:
33.33
Step-by-step explanation:
Answer:
33.33%
If you like my answer than please mark me brainliest thanks
Which answer is an equation in point-slope form for the given point and slope?
Point: (5, 9); Slope: 2
y-5= 2 (2 +9)
y-9=2(x+5)
y+9= 2(2-5)
y-9=2(x – 5)
Answers
Answer: y-9=2(x-5)
Step-by-step explanation: The point (5,9) satisfies the equation:
y-9=2(x-5) for (5,9)?
9-9=2(5-5) ?
0 = 0 YES
Slope of 2? Rewrite:
y-9=2(x-5)
y = 2(x-5)+9
The slope is 2 YES
Determine the y-intercept of the following equation. (x+3) (-x-2)= y
Answers
Answer:
-6
Step-by-step explanation:
put x=0
(0+3)(-0-2)=y
y=-6
Evaluate the expression.
5 - (-9)
Answers
Answer:
14
Step-by-step explanation:
5 - ( - 9 ) = 5 + 9 = 14
The double negative becomes positive.
-Chetan K
Answer:
14
Step-by-step explanation:
Because 5-(-9) equals 5-1(-9) and when you multiply two negatives you get a positive, to solve just add 5 and 9
Hope this helps!
mark is having a birthday party he included 15(and himself) He wants two cupcakes per person. Only 7 people came to the party. Write an equation for the problem and solve home many cupcakes each person will get.
Answers
Answer:
2 for each
Step-by-step explanation:
i think
The Lucas numbers are defined by the recursive formula t1 = 2, t2 = 1, tn = tn - 1 + tn - 2, where n âN and n > 2. What are the first 9 Lucas numbers?
Answers
The first two are given to you, [tex]t_1=2[/tex] and [tex]t_2=1[/tex]. Use the recursive formula to get the 3rd term; then use the 2nd and 3rd terms to get the 4th; and so on.
Since the n-th Lucas number is the sum of the previous two Lucas numbers, you have
[tex]t_3 = t_2 + t_1 = 1 + 2 = 3[/tex]
[tex]t_4 = t_3 + t_2 = 1 + 3 = 4[/tex]
[tex]t_5 = t_4 + t_3 = 4 + 3 = 7[/tex]
[tex]t_6 = t_5 + t_4 = 7 + 4 = 11[/tex]
[tex]t_7 = t_6 + t_5 = 11 + 7 = 18[/tex]
[tex]t_8 = t_7 + t_6 = 18 + 11 = 29[/tex]
[tex]t_9 = t_8 + t_7 = 29 + 18 = 47[/tex]
helppppppppppppppppppppppppppppppppppppppppppp
Answers
2.5/2.5=1
5/5=1
5.5/5.5=1
i need help can some one help
Answers
Answer:
18/24 or 75%
Step-by-step explanation:
Okay so you already know that he got 16/24 which means that there were 8 questions that were wrong because 24-16= 8
So he has 16 points that we know of and 8 questions that he got wrong.
If he lost 1/4 of a point when he got it incorrect 1/4= 0.25
0.25 x 8 = 2points
So he got to points
16+ 2= 18 so now it is 18/24
If you have to show Out for 100% it would be 75%
Hope it helped!
-9<-8 is this equation true? Honestly I forgot lol
Answers
Answer:
True
Step-by-step explanation:
what is the equivalent of pie ?
Answers
Answer:
equabilent of pie is 3.14159
Answer: the equivalent is : 3.14 or 3.14159
What is the opposite reciprocal of the slope 7?
Answers
Answer: m=0
Use the slope-intercept form y=m, x+b, to find the slope m.
There ya go sweat heart
What is the value of 6/x + 2x^2, when x = 3? 08 0 11 O 14 0 20
Answers
Answer:
20
Step-by-step explanation:
substitute 3 into 6/x, thats 2
substitute 3 into 2x^2, so that would be 2(3x3) and that would be 18
18+2=20
Reason:
6/3 + 2(3)^2
PEMDAS
6/3 + 2(9)
2 + 18
20
I'm stuck in math class and I have no clue how to do it- lol :')
Answers
Answer:
c = 9
Step-by-step explanation:
first, simplify 30/2c. which is 15/2c. then cross multiply. 15 x 12 = c x 20.
you get 180 = c x 20. swap sides, c x 20 = 180. divide both sides by 20, then simplify to get 9.
hope this helps.
Pablo is thinking of a number. When he doubles it and then adds 13 the resulting answer is 5.Construct an equation and solve it to determine the number Pablo is thinking of.
Answers
Answer:
x×2+13=5
Step-by-step explanation:
We use x as the unknown number, and we just put what's in the word problem! The answer is in the question.
Equation Set-Up
x×2+13=5
Remember order of operations! (PEMDAS)
Then you solve the equation.
Because of PEMDAS, we know that multiplication is the first thing we have to do.
x×2=2x
So now, our equation looks like this.
2x+13=5
We subtract 13 from the +13 to cancel it out, but that means that we also have to subtract 13 from the 5 on the other side. We are now left with this.
2x=-8
Then, we divide -8 by 2, which gives us...
x=-4
Pablo's number is -4.
I hope I helped! Have a great day.
There are 4 consecutive integers that sum to 190. What is the greatest of these integers ?
Answers
Answer:
49
Step-by-step explanation:
x
x+1
x+2
x+3
-------
4x+6
4x+6=190
-6 -6
4x=184
/4 /4
x=46
This is the first integer, but we have to find the last integer so,
46,47,48,49
A rectangle has a perimeter of 36 cm. Its width is 4 cm less than its length. Find
the length and width of the rectangle.
Answers
Answer:
14
Step-by-step explanation:
Perimeter = 2 x length + 2 x width = 2L + 2w
Width is 4 cm less than the length, so w = L-4
36 = 2L + 2(L-4)
36 = 2L + 2L - 8
36 = 4L - 8
44 = 4L
L = 11
w = 7
2(11) + 2(7) = 22 + 14 = 36
Length is 11, width is 7
what is the answer to 1/4 - (-1/6)
Answers
Answer:
5/12
Step-by-step explanation:
1/4 + 1/6 = (6+4)/24 = 10/24 = 5/12
why +1/6?
because: - (-) = +
The product of a rational and irretional number is always, sometime, or never rational.
Answers
Answer:
Step-by-step explanation:
The product of a rational number and an irrational number is SOMETIMES irrational." If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational.
Write an integer to represent the situation below.
if u cant read,
number 1 says sea level,
2 says a withdraw of 42 dollars,
3 says 14 degrees below 0,
4 says an in height of 3 inches.
Answers
Step-by-step explanation:
1. 42m below the sea level.
2. you withdrawn 42 dollars from 100.
3. -14°C or -14°F or -14K.
4. your height increased from 242inches to 245 inches. your height increased by 3 inches !
hope this helps you.
Find the perimeter of this semi-circle with the radius, r= 11 cm.
Give your answer rounded to 1DP.
Answers
Answer:
56.6 cm is the answer
use formula 1/2 πD+ D
The ratio of the number of cookies to the number of cupcakes in a box is 5:4. Which table shows the possible amounts of cookies and cupcakes in a box, given the ratio?
Answers
Answer:
each number in the ratio is continually multiplied by 2 どういたしまして(You are welcome) :)
Step-by-step explanation:
What is the midpoint of the line segment?
Drag the coordinates to the boxes to correctly match the endpoints and midpoint
Answers
Using the midpoint concept, it is found that:
The midpoint of the line segment of endpoints [tex](2, \sqrt{3})[/tex] and [tex](-6, 5\sqrt{3})[/tex] is [tex](-2, 3\sqrt{3})[/tex].The midpoint of the line segment of endpoints [tex]\left(-\frac{5}{3}, \frac{2}{5}\right)[/tex] and [tex]\left(\frac{1}{3}, \frac{3}{2}\right)[/tex] is: [tex]\left(-\frac{2}{3}, \frac{19}{20}\right)[/tex]The midpoint of a line segment is given by the mean of the coordinates of it's endpoints.
For the first segment, which endpoints [tex](2, \sqrt{3})[/tex] and [tex](-6, 5\sqrt{3})[/tex]:
[tex]x_M = \frac{2 - 6}{2} = -2[/tex]
[tex]y_M = \frac{\sqrt{3} + 5\sqrt{3}}{2} = 3\sqrt{2}[/tex]
The midpoint is [tex](-2, 3\sqrt{2})[/tex]
For the second segment, which endpoints [tex]\left(-\frac{5}{3}, \frac{2}{5}\right)[/tex] and [tex]\left(\frac{1}{3}, \frac{3}{2}\right)[/tex]:
[tex]x_M = \frac{-\frac{5}{3} + \frac{1}{3}}{2} = -\frac{4}{6} = -\frac{2}{3}[/tex]
[tex]y_M = \frac{\frac{2}{5} + \frac{3}{2}}{2} = \frac{\frac{4 + 15}{10}}{2} = \frac{19}{20}[/tex]
The midpoint is [tex]\left(-\frac{2}{3}, \frac{19}{20}\right)[/tex]
A similar problem is given at https://brainly.com/question/24352869
ELPPP I SUCK AT THIS
I didnt mean to press 79 but it wouldn't let me unclick it I can still change my answer tho
Answers
Answer:
79
Step-by-step explanation:
80 divided by 8+72-3
10+72-3
82-3
79
Hope this helps!
Pls help I will give 20 points if anwser is correct
-8 3/4 divide 2 1/6
Answers
Answer: Improper form: -106/26 Mixed fraction form: -4 1/26
Decimal form: -4.03846153...
Step-by-step explanation: Simplify the expression, if possible, by cancelling the common factors.
What is the result when (-12) is subtracted from (- 8) ? *
Answers
Answer:
-20
Step-by-step explanation:
All that you have to do for this question is just form the equation:
-12-8=x
And solve, which is:
-20
what's -2 5/11 - -7 1/11
Answers
Answer:
4.63636363636
Step-by-step explanation:
Answer:
1 -2 5 /11 - -7 1 / 11
2 5/11
= 2.27
7 1 / 11
6.45
= -4 . 18
Jake said an equivalent expression is -10 + 3/7g. What was the likely error made by Jake?
Answers
Answer:
you can do this on Math way . com
Step-by-step explanation:
Answer:
He thought swapping the - sign would make it equl.
Step-by-step explanation:
Carla packs boxes at a rate of 10 boxes every 4 minutes. What is the number of boxes per minute that Carla packs?
show simple work for brainlist
Answers
Answer:
2.5 boxes per minute
Step-by-step explanation:
First divide 10 by 4 to get the unit rate 2.5/1.
Second add labels, and figure out conclusion.
2.5 boxes/ 1 minute
Carla packs 2.5 boxes per minute.
A 12" pizza costs $14. What is the
price per square inch?
Answers
Answer:
0.857$ (Its really big in answer but This is the average result.
The REAL answer
0.857142857$