i would really like some help, factoring trinomials if you want an extra 50-100 points you could help with a previous question on my profile lol
Answers
Answer:
[tex]g) \left(5x-2\right)\left(3x+2\right)[/tex]
[tex]h)2\left(8a-9\right)\left(a-2\right)[/tex]
[tex]i)3\left(21n^2+42n+16\right)[/tex]
Step-by-step explanation:
Starting with g) [tex]15^2+4x-4[/tex]
Break the expression into group
[tex]=\left(15x^2-6x\right)+\left(10x-4\right)[/tex]
Now, Factor out [tex]3x[/tex] from [tex]15x^2-6x[/tex] which is now is [tex]3x(5x-2)[/tex]
Next, Facotr out [tex]2[/tex] from [tex]10x-4[/tex] which is now is [tex]2(5x-2)[/tex]
Thus,
[tex]=3x\left(5x-2\right)+2\left(5x-2\right)[/tex]
Factor common term 5x -2
[tex]\left(5x-2\right)\left(3x+2\right)[/tex]
-------------------------------------------------------------------------------------------------------------
Next we have [tex]h)16a^2-50a+36[/tex]
Factor out common term thus we have [tex]2(8a^2-25a+18)[/tex]
Factor again: [tex]8a^2-25a+18[/tex] now turn into [tex](8a-9)(a-2)[/tex]
[tex]=2\left(8a-9\right)\left(a-2\right)[/tex]
-------------------------------------------------------------------------------------------------------------
Lastly we have [tex]i)63n^2+126n+48[/tex]
Rewrite the following:
63 as 3 * 21
126 as 2 * 42
48 as 3 * 16
[tex]63n^2+126n+48[/tex]
Now cut out common term:
[tex]=3\left(21n^2+42n+16\right)[/tex]
-------------------------------------------------------------------------------------------------------------
~lenvy~
Answer:
(g) [tex](5x-2)(3x+2)[/tex]
(h) [tex](16a-18)(a-2)[/tex]
(i) [tex]3(21n^2+42n+16)[/tex]
Step-by-step explanation:
To factor a quadratic in the form [tex]ax^2+bx+c[/tex]
Find 2 two numbers ([tex]d[/tex] and [tex]e[/tex]) that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]Rewrite [tex]b[/tex] as the sum of these 2 numbers: [tex]d + e = b[/tex]Factorize the first two terms and the last two terms separately, then factor out the comment term.Question (g)
[tex]15x^2+4x-4[/tex]
[tex]\implies ac=15 \cdot -4=-60[/tex]
[tex]\implies d+e=4[/tex]
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Therefore, the two numbers (d and e) that multiply to -60 and sum to 4 are:
10 and -6
Rewrite [tex]4x[/tex] as [tex]+10x-6x[/tex]:
[tex]\implies 15x^2+10x-6x-4[/tex]
Factories first two terms and last two terms separately:
[tex]\implies 5x(3x+2)-2(3x+2)[/tex]
Factor out common term [tex](3x+2)[/tex]:
[tex]\implies (5x-2)(3x+2)[/tex]
Question (h)
[tex]16a^2-50a+36[/tex]
[tex]\implies ac=16 \cdot 36=576[/tex]
[tex]\implies d+e=-50[/tex]
Factors of 576: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Therefore, the two numbers that multiply to 576 and sum to -50 are:
-32 and -18
Rewrite [tex]-50a[/tex] as [tex]-32a-18a[/tex]:
[tex]\implies 16a^2-32a-18a+36[/tex]
Factories first two terms and last two terms separately:
[tex]\implies 16a(a-2)-18(a-2)[/tex]
Factor out common term [tex](a-2)[/tex]:
[tex]\implies (16a-18)(a-2)[/tex]
Question (i)
[tex]63n^2+126n+48[/tex]
Factor out common term 3:
[tex]\implies 3(21n^2+42n+16)[/tex]
This cannot be factored any further.
Related Questions
Use the graph that shows the number of laps completed over time. Find the slope of the line.
Answers
By using the given graph, we will see that the slope of the linear equation is:
a = 0.5 laps per minute.
How to find the slope of the line?
For a linear equation:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁).
So we need to look at the graph and identify two points, we will use:
(10 min, 5) and (20 min, 10)
So the slope is:
a = (10 - 5)/(20 min - 10 min) = 0.5 laps per minute.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/1884491
A 9-foot roll of waxed paper costs $3.69. What is the price per yard?
Answers
Answer:
11.07
Step-by-step explanation:
a yard is three times a foot so 3×3.69 is the answer
I didn't read it right, ignore me
Given:
UE
1 3 -5
2 14 11
-8 0 5
VE
13 -1 -77
-6 1 19
0 15 23
Solve:
X+U= V
X=
Answers
Step-by-step explanation:
Please i don't understand your question.
Answer:
X = [tex]\left[\begin{array}{ccc}12&-4&-2\\-8&-13&8\\8&15&18\end{array}\right][/tex]
Step-by-step explanation:
Just did it on edge
( the question is:
Given:
U = [tex]\left[\begin{array}{ccc}1&3&-5\\2&14&11\\-8&0&5\end{array}\right][/tex]
V = [tex]\left[\begin{array}{ccc}13&-1&-7\\-6&1&19\\0&15&23\end{array}\right][/tex]
Solve: X + U = V
)
what is the 25% of 52
Answers
You bought lunch for you and your friend. Lunch came to $22.45 and the sales tax
rate was 9.5%. What is the sales tax amount? (Show your work)
Answers
Step-by-step explanation:
⇢ [tex] \sf 22.45 × \frac{9.5}{100} [/tex]
⇢ [tex] \sf \bold{22.45} × 0.095 [/tex]
⇢ 2.13275
⇢2.1 (1 dp)
[tex] \therefore [/tex] Sales tax = $2.1
Nathan sold 120 shares of Mowery, Inc., at $95 per share and paid a commission of $9. What were his proceeds?
Answers
Answer:
I think its $11409
Step-by-step explanation:
maybe not but please trust me
Find parametric equations for the sphere centered at the origin and with radius 3. Use the parameters s and t in your answer. x(s, t) = y(s, t) = , and z(s, t) = , where |
Answers
Answer:
Step-by-step explanation:
In general (x, y, z) = (p ·cos s ·sin t, p· sin s· sin t, p · cos t) where p is radius
x(s, t)= 3 ·cos s ·sin t
y(s, t)= 3· sin s· sin t
z(s, t) = 3· cos t
Where, radius is 3, s ∈ [0,2π), and t ∈ [0, π]
b. Lisa has 120 sweets. She gives 2 of them to
her brother. How many sweets does Lisa have left
Answers
Answer:
118
Step-by-step explanation:
Answer:
118
Step-by-step explanation:
120-2=118
118 sweets left!
A classmate states that if the radius of a circle is doubled, then its area is doubled. Do you agree or disagree? If you disagree how much larger do you think the area will be?
Answers
Please answer fast, ive been asking for weeks
Answers
Answer:
6cm
Step-by-step explanation:
Here, base=10cm
Length=7cm
A=70 cm2
(Do same to other sides rect.)
A=42 cm2
A= 56 cm2
A of triangle=24*2(2 triangle)( UseHerons formula)
=48 cm2
adding all A=216 cm2
Area of cube=6l2
216=6l2
simplify
l=6cm
Which will have a negative number?
A)
(-3)(-9)
B
(-6) (4)
-4-5
D)
-7-9
Answers
Answer:
[B] (-6)(4)
[C] -4 -5
[D] - 7 -9
Step-by-step explanation:
Note that: {Only with ()}
Negative + Negative = Positive
Negative + Positive = Negative
Positive + Positive = Positive
Hence,
[A] (-3)(-9) =27 Negative + Negative = Positive
[B] (-6)(4) = -24 Negative + Positive = Negative
[C] -4-5 = -9
[D] -7-9 = -16
Thus, the answer is
[B] (-6)(4)
[C] -4 -5
[D] - 7 -9
[RevyBreeze]
Answer:
All of them except A.
Step-by-step explanation:
A = -3 * -9 = 27.
product of 2 negatives is a positive.
B: (-5*4 = -24
C: -4-5 -9
D. -7-9 = -16
Help Me on this!!
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here's the solution :
9. Statement : [tex] \tt{VB\:\: bisects\;\; \angle EVO}[/tex]
Reason : [tex]\tt Given [/tex]10. Statement :[tex]\tt \angle3 \cong \angle 4[/tex]
Reason : [tex] \tt Definition \;\; of \;\; angle \;\; bisector[/tex]11. Statement [tex] \tt{VB\:\: bisects\;\; \angle EBO}[/tex]
Reason : [tex]\tt Given [/tex]12. Statement :[tex]\tt \angle1 \cong \angle 2[/tex]
Reason : [tex] \tt Definition \;\; of \;\; angle \;\; bisector[/tex]13. Statement : [tex] \tt \overline{BV }\cong \overline{BV}[/tex]
Reason : [tex] \tt Common\:\: side [/tex]14. Statement : [tex] \tt \triangle \:BEV \cong \triangle \:BOV [/tex]
Reason : [tex] \tt ASA \:\: postulate [/tex]15. Statement : [tex]\tt \angle E \cong \angle O[/tex]
Reason : [tex] \tt Corresponding\;\;parts\:\: of\:\: Congruent \;\;Triangles [/tex]What is the value of the expression below? 7 - 4+5
A. 14
B. 40
C. 50
D. 15
Answers
Answer:
50
Step-by-step explanation:
First we Calculate what [tex]7^{2}[/tex] is equvalet to:
7 * 7 to solve and get 49
Our equation then becomes:
49 - 4 + 5
Next, subtract left to right:
49 - 4 = 45
Now we get:
45 + 5 = 50 (our answer)
The scale on a drawing reads 1/16^ prime prime =1^ prime .A2 inch long line represents
A. 8 feet
B. 16 feet
C. 32 feet
D. 64 feet
Answers
So
1 in line represents 16ft i e 2^4 ftHence
2in line represents
2(2^4)2(16)32ftFind the value of the figure on the left.
Answers
Answer:
The volume is 630
Step-by-step explanation:
Forula for volume
L x W x H = V
L = lenth
W = width
H = hight
V = volume
Lets plug in our numbers
15 x 7 x 6 = V
15 x 7 = 105
105 x 6 = 630
V = 630
Describe the transformations from the parent function f(x)=x^2 to the function g(x+2)^2+5
2 units to the right, 5 units up
2 units down, 5 units to the left
2 units down, 5 units to the right
2 units to the left, 5 units up
Answers
Answer: 2 units to the right, 5 units up
Step-by-step explanation:
⭐ Question 4(challenging)
What is...
Square root of 61 plus [tex]\pi[/tex] times six to the power of ten
Answers
Answer:
189960102.12251
Step-by-step explanation:
[tex]\sqrt{61}+\pi 6^{10}=\sqrt{61}+60466176\pi[/tex]
Help I don’t get it at all
Answers
Answer:
The answer is B.
Step-by-step explanation:
There is one shaded part out of four parts. This means that the shaded part takes up one-fourth of the overall box, or 1/4. To convert fractions to decimal, you need the denominator to be 100: therefore you multiply 25 to the numerator and denominator: 25/100. This is equal to 0.25 or 25%. The answer is B.
Answer:
B.
Step-by-step explanation:
¼ = 1÷4=0.25
0.25×100=25%
Why does the graph on the left stay in the asymptotes while the one of the left doesn't. The graph on the left does approach the the asymptotes, but never touches, but that isn't the answer my teacher is looking for.
Answers
Kate and Ashton have been approved for a $250,000 15-year mortgage with an APR of 4.2%. How much of their first monthly payment will go to interest, using the simple interest formula?
Answers
Based on the size of the mortgage, and the APR, the amount that will go to interest from the first monthly payment by Kate and Ashton is $875.
What is the first interest payment for Kate and Ashton?First find the monthly interest rate:
= 4.2% / 12 months
= 0.035%
The first monthly payment is:
= Mortgage amount x monthly interest rate
= 250,000 x 0.035%
= $875
In conclusion, their first interest payment is $875.
Find out more on interest payments at https://brainly.com/question/13405769.
Mandy charges all of her customers by weight so she gets $5 per kilogram of corn cobs or $1.25 for an individual corn cob. If Mandy is going to sell over 100 kilograms of corn cobs today, what is the best profit per corn cob she can make?
Answers
Answer:
$5
Step-by-step explanation:
Because everyone want to be rich!
divide 2/3 by 1/5 into mixed nuber
Answers
Answer:
3 and 1/3 is your answer: aka 10/3
Step-by-step explanation:
hope this helps
Help picture below problem 10
Answers
Answer:
your answer is none of the above
irections: Drag each event to the correct location in the sentences.
in experiment consists of randomly drawing one tile from a bag of colored tiles. The bag has 7 white tiles, 12 black tiles, 22 red
des, and 3 blue tiles.
Find the probability of each event, and then create true statements by placing the events in the sentences.
Answers
Answer:
Blue tile is an event that is unlikely to occur
White tile is an event that is neither unlikely nor likely to occur
Black tile is an event that is likely to occur
Red tile is an event that is most likely to occur
Step-by-step explanation:
represent the depth of a diver under water as
he swims to the surface. At what depth did
the diver begin swimming to the surface?
Answers
y = 6x + 30
To find x, substitute y = 0
Therefore,
0 = 6x + 30
-30 = 6x
x = -5
-5 is the depth
In a random sample of 60 students in first grade, the mean hours of sleep per night was 9.6 with a
standard deviation of 0.51. In a random sample of 40 students in 12th grade, the mean hours of sleep per
night was 7.2 with a standard deviation of 0.62.
Which interval is a 99% confidence interval for the difference between the mean hours of sleep?
O (2.36 h, 2. 44 h)
O (2. 19 h, 2.61 h)
O (2. 10 h, 2. 70 h)
O (2.29 h, 2.51 h)
Answers
Answer:
c is your answer
Step-by-step explanation:
HELP PLS PLS PLS PLS PLS z
Answers
Answer:
126
Step-by-step explanation:
I got a protracter
Solve for d.
Give an exact answer.
0.5(7d+4)=7-1.5d
D=
Answers
d=1
Eva deposited $50 in an account earning 10% interest compounded annually.
To the nearest cent, how much interest will she earn in 2 years?
Answers
Step-by-step explanation:
Simple Interest = P.R.T / 100
P= Principal (Amount invested) =$30
R= Rate= 10%
T= Time = 3 years
Therefore, Simple Interest (1):
I = PRT/100
1 = ($30 * 10 * 3 ) / 100
I = $900 / 100
1 = $9
She will have a total of $9 in three years
Last summer, Maya was a lifeguard at the Ginger Hill community pool. She checked the
temperature of the pool each morning. This box plot shows the results.
Pool temperature (°F)
HHH
76
78
80
82
84
86
What percent of the mornings was the pool temperature 80°F or higher?
I %
Submit
Answers
Answer:
50
Step-by-step explanation:
half of 100 is 50 and i just did it so
The percentage of the mornings that the pool has a temperature of 80°F or higher is 50%.
What percent of the mornings was the pool temperature 80°F or higher?
A box plot is used to study the distribution and level of a set of scores. The line in the middle of the box on the box plot is the median. Median is the number at the center of the dataset. It represents 50% of the score.
To learn more about box plots, please check: https://brainly.com/question/27215146
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