Answers
Answer:
(6x - 1) • (2x + 9)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((22•3x2) + 52x) - 9
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 12x2+52x-9
The first term is, 12x2 its coefficient is 12 .
The middle term is, +52x its coefficient is 52 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 12 • -9 = -108
Step-2 : Find two factors of -108 whose sum equals the coefficient of the middle term, which is 52 .
-108 + 1 = -107
-54 + 2 = -52
-36 + 3 = -33
-27 + 4 = -23
-18 + 6 = -12
-12 + 9 = -3
-9 + 12 = 3
-6 + 18 = 12
-4 + 27 = 23
-3 + 36 = 33
-2 + 54 = 52 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 54
12x2 - 2x + 54x - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (6x-1)
Add up the last 2 terms, pulling out common factors :
9 • (6x-1)
Step-5 : Add up the four terms of step 4 :
(2x+9) • (6x-1)
Which is the desired factorization
HOPE IT HELPS! :))
Related Questions
PLS HELP FIRST ONE RIGHT GETS BRAINLEST |||| A produce stand is packing blueberries into 2/5 pound containers. How many containers can be filled with 60 pounds of blueberries? 1/150 1/24 24 150
Answers
Answer:
The answer is 24
Step-by-step explanation:
24
Answer:
24
Step-by-step explanation:
24
Jordan is painting his kitchen. To get the color he wants, he mixes 2 parts red paint and 6 parts yellow paint. 1) Write the ratio of parts red paint to parts yellow paint as a fraction. 2) Then, write the unit rate of red paint to yellow paint.
Answers
Answer:
1. 1/3 or 1 red paint : 3 yellow paint
2. 3/1 or 3 or 3 yellow paint : 1 red paint
Step-by-step explanation:
First figure out red to yellow
2 parts red : 6 parts yellow
simplified it is 1 part red : 3 parts yellow or 1/3
Repeat for ratio of yellow to red
6 parts yellow : 2 parts red
simplified is 3 yellow : 1 red or 3/1 or 3
Please give thanks, hit the heart button :)
A mixture is made with 45 ounces of a 10% saline solution and $x$ ounces of a 70% saline solution. The resulting mixture is a 25% saline solution. What is the value of $x$
Answers
Answer:
x = 15 ounces
Step-by-step explanation:
A mixture is made with two types of solutions.
Solution A - 45 ounces of 10% saline solution
Solution B - x ounces of 70% saline solution
Resulting mixture - (x + 45) ounces of 25% saline solution
To get the value of x, equation will be,
(45 × 0.10) + (x × 0.70) = (x + 45) × 0.25
4.5 + 0.70x = 0.25x + 11.25
0.25x - 0.70x = 4.5 - 11.25
-0.45x = -6.75
x = [tex]\frac{6.75}{0.45}[/tex]
x = 15 ounces
For the equation y-3=2(x+4) the line has a slope of 2 and contains what point?
Answers
Answer:
(-4,3)
Step-by-step explanation:
I got it correct :)
The point is A ( -4 , 3 ) for the equation of line y - 3 = 2 ( x + 4 ) with slope 2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
The equation of the line is y - 3 = 2 ( x + 4 )
The slope m = 2
Let the point be = A ( x₁ , y₁ )
The point A can be calculated from the equation of line
From the formula for equation of line , we can substitute the values and find the point A
So ,
Equation of line is y - y₁ = m ( x - x₁ )
Substituting the value of x₁ , y₁ and m in the equation , we get
y - 3 = 2 ( x - ( -4 ) 0
So , y₁ = 3
x₁ = -4
Therefore , the point A ( x₁ , y₁ ) = A ( -4 , 3 )
Hence , the point A is ( -4 , 3 )
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The constant in 2x+8
Answers
Answer:
k = 1/4 is the constant variation of 2x+8
Step-by-step explanation:
Hope it's correct ;D
What is the sign of the product (8)(−23)( −21)(−29)?
A) Positive, because the products (8)(−23) and (−21)(−29) are negative, and the product of two negative numbers is positive
B)Positive, because the products (8)(−23) and (−21)(−29) are positive, and the product of two positive numbers is positive
C)Negative, because the product (8)(−23) is positive and the product (−21)(−29) is negative, and the product of a positive number and a negative number is negative
D)Negative, because the product (8)(−23) is negative and the product (−21)( −29) is positive, and the product of a negative number and a positive number is a negative number
Answers
Answer:
D) Negative, because the product(8)(-23) is negative and the product of (-21)(-29) is positive, and the product of a negative number and a positive number is negative number
What is the inverse of the function f(x) = 4x + 8?
Answers
pls help me with this question....
Answers
Section 1
Answers:
1.6962 = 1.70 to 2 d.p. 0.007395 = 0.007 to 3 d.p. 0.4247 = 0.425 to 3 d.p. 0.007395 = 0.0074 to 4 d.p.-----------------------------
Explanation:
The abbreviation d.p. means decimal places
When rounding to 2 decimal places, we look at the digit in the third decimal place value slot (thousandths place). If the value is 5 or larger, then we round up. In the case of 1.6962, the second 6 tells us to round 1.69 up to 1.70
Something like 0.4247 does not round up because that second 4 is not 5 or larger. So we just are left with 0.42
The same logic applies to three decimal places, but you'll look in the fourth slot this time.
===================================================
Section 2
Answers:
32549 = 32500 to 3 s.f. 909520 = [tex]91\overline{0}000[/tex] to 3 s.f. (note the overline bar) 32549 = 32550 to 4 s.f. 909520 = 909500 to 4 s.f.-----------------------------
Explanation:
Recall that for a number like 32500, the 0s are not significant. This is because we can write that as 3.25 * 10^4 to convey the same idea. The only significant figures are 3, 2 and 5.
So when rounding 32549 to 3 sig figs, we just pick on the three left most values, and the rest go to 0. The 325 does not round up to 326 because the '4' isn't 5 or larger. Put another way: 32549 is closer to 32500 than it is to 32600
When rounding 909520 to three sig figs, it turns into [tex]91\overline{0}000[/tex]. The line over the first '0' tells us that zero is significant. Without this bar, the zero would be considered not to be significant. The 9095 is closer to 9100 than it is to 9000, so that's why we rounded up.
Please help me i cant figure this out. Ten points to anyone who can.
Answers
Answer:
G - 4 units
Step-by-step explanation:
answer this problem and ill will give you brainliest
Answers
Answer:
It will be B. You’ll have an open circle on 4 with the arrow pointing left.
Step-by-step explanation:
Find the measure of each exterior angle of the regular polygon. (Please answer correctly!)
Answers
Samantha purchased dinner at a restaurant and spent $38 on food and beverages. Her sales tax was 7%. How much will Samantha pay for sales tax in dollars and cents?
Answers
Given:
Samantha purchased dinner at a restaurant and spent $38 on food and beverages.
Rate of sales tax = 7%
To find:
How much will Samantha pay for sales tax in dollars and cents?
Solution:
Amount spent on food and beverages = $38
Rate of sales tax = 7%
Sales tax = 7% of $38
[tex]\text{Sales tax}=\dfrac{7}{100}\times 38[/tex]
[tex]\text{Sales tax}=\dfrac{266}{100}[/tex]
[tex]\text{Sales tax}=2.66[/tex]
Therefore, the sales tax is $2.66.
What will be the distance from the center of dilation, P, to the image S'?
2 units
4 units
6 units
8 units
Answers
Answer:
the answer is 6 units..
88.7% of 58
Please help me i need the answer!!!!!!!!!!!!!!!!!!!!!1
Answers
Answer:
the answer is 51.4% i Believe
Evaluate the expression for the given values
Answers
(4•8)=32
Which list shows only multiples of 8?2, 4, 8
24, 32, 40
32, 96, 108
34, 42, 50
Answers
Answer:
24,32,40
Step-by-step explanation:
Answer:
24,32,40
Step-by-step explanation:
hope im right!
Jorge has a Total of 67 coins. All of which are dimes and nickels. The total value of the dimes and nickels i $5.40. Find the number of each type of coin.
Answers
Answer:
There are 41 dimes and 26 nickels.
Step-by-step explanation:
From the information given, you know that you have 67 coins which would be:
x+y=67
Also, you now that the value of each coin is:
dimes= $0.10
nickels=$0.05
With this you can say that the number of dimes for its value plus the number of nickels for its value is equal to $5.40:
0.10x+0.05y=5.40
You will have the following equations:
x+y=67 (1)
0.10x+0.05y=5.40 (2), where:
x are the number of dimes
y are the number of nickels
First, you can solve for x in (1):
x=67-y
Then, you can replace (3) in (2):
0.10(67-y)+0.05y=5.40
6.7-0.10y+0.05y=5.40
1.3=0.05y
y=1.3/0.05
y=26
Now, you can replace the value of y in (3) to find x:
x=67-y
x=67-26
x=41
According to this, the answer is that there are 41 dimes and 26 nickels.
Which equation is a linear function?
Answers
Answer:
I WOULD SAY B sorry caps
Step-by-step explanation:
Answer: I did um the one with 7 and it works
Step-by-step explanation:
Carlos has 5/8 pounds of pumpkin seeds. He puts the seeds evenly into 10 bags. How much pumpkin seeds are in each bag
Answers
Answer:
5/80 = 0.0625
helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelpvv
Answers
Answer:
4.4
Step-by-step explanation:
4.4
Answer:
I think the answer is B) 4.7
Step-by-step explanation:
just to let you know I maybe wrong.
Find the values of w, x and y.
Answers
Answer:
w= 27.47 degree
x=9.99 cm
y=12.02 cm
Step-by-step explanation:
The value of w:
In a right-angled triangle [tex]\tan \theta = \frac {\text{Perpendicular}}{\text{Base}}[/tex]
[tex]\tan w = \frac {\text{Perpendicular}}{25+9}\;and \; \tan 63 = \frac {\text{Perpendicular}}{9}[/tex]
So, [tex]34 \tan w = 9\tan (63)[/tex]
[tex]\tan w = (9/34)\tan(63)=0.52 \\\\w=\tan^{-1}(0.52) \\\\[/tex]
w= 27.47 degree
The value of x:
In a right-angled triangle [tex]\sin \theta = \frac {\text{Perpendicular}}{\text{Hypotaneous}}[/tex]
sin (27) =x/22
x= 22sin(27)
x=9.99 cm
The value of y:
By using Pythagoras theorem,
[tex]y^2+y^2=17^2 \\\\2y^2 = 289 \\\\y^2 =289/2= 144.5 \\\\y=\sqrt {144.5} \\\\[/tex]
y=12.02 cm
Given w = 1 + i and z = 1 + i, which number can be added to w to produce z?
a) i
b) –i
c) 0i
d) –2i
Answers
Answer:
C) 0i?????????????
Step-by-step explanation:
They are the same thing why would you need to add anything?
I feel bad searching this up
As the both numbers are equal 0i will be added to w to produce z , Option C is the right answer.
What are Complex Numbers ?Complex number are represented as a+ ib , here a and b are real numbers and i is a imaginary number named as iota and it has a value of square root of -1 .
Two complex numbers are given
w = 1 +i
z = 1 +i
It has been asked what number has to be added to w to make it equal to z , as the both numbers are equal 0i , Option C is the right answer.
To know more about Complex Numbers
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One batch makes 15 lemon bars and Josh ate 2. If Claire ate twice as many as him, how many lemon bars would be left from the batch? *
Answers
Answer:
There are 9 lemon bars left from the batch.
Step-by-step explanation:
One batch = 15 lemon bars
Josh: ate 2 lemon bars
[tex]15 - 2 = 13[/tex]
13 lemon bars remaining.
Claire: ate twice as many as Josh
Meaning: 2 × 2 = 4
[tex]13 - 4 = 9[/tex]
9 lemon bars remaining.
There are 9 lemon bars left from the batch.
help look at image above
Answers
Answer:
any number greater than 5 (so 6 and 8)
Step-by-step explanation:
since the expression on the left is supposed to be greater than 7, 5 cant be an answer because that will equal to 7. Therefore any number greater than 5 will work.
18/3=?/1 what's the missing unit rate
Answers
Answer: 6
Step-by-step explanation:
Answer:
it's equal to 6/1!!
Step-by-step explanation:
Hi I really need help with answering this! I will give you brainest! And is it okay if you explain why and how you got this answer, thanks so much!
Answers
Answer:
18 students took the bus to school.
Step-by-step explanation:
If 1/4 of the students walked, that leaves 3/4 of the students who did not walk. That leaves 22.5 students. Out of these students 22.5, 4/5 of them take the bus, and 4/5 of 22.5 is 18.
Peer I QUESTION: Answer all questions in this part This Question is worth 12 credits. Clearly indicate the necessary steps and explain your reasoming. 9) The table shows theater ticket sales on successive nights. 40 Patrons Revenue 33 495 81 1215 600 490 Round all answers to the nearest hundredths place. a) Using the calculator write a linear regression model represents the revenue earned by the b) What is the value of the correlation coefficient? In general, what does the correlation coefficient values indicate? What does this value tell us about this data in particular? c) Use the linear model to predict revenue if 121 patrons attend d) Use the Linear model to predict the number of patrons if the theater eamed $4500. e) In the context of this problem, what does the slope mean? D) Explain what the y-intercept of this model represents in terms of the patrons and revenue that are being modeled in this problem.
Answers
Answer:
thanks for ze points
Step-by-step explanation:
wish I could help but im rly bad at math so :(
PLEASE I NEED HELP
Enter in the missing numbers to create equivalent ratios.
Answers
Answer:
The table with the missing number
1 5
2 10
5 25
10 50
Step-by-step explanation:
The form of the equivalent ratios is [tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] , where a, b, c, and d are integers
From the given table, we will use the first row in all cases (a = 1 and c = 5)
∵ a = 1 and b = 2
∵ c = 5
→ By using the form of the equivalent ratios above
∴ [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{d}[/tex]
→ By using the cross multiplication
∵ 1 × d = 2 × 5
∴ d = 10
∴ The first missing is 10
∵ a = 1
∵ c = 5 and d = 25
→ By using the form of the equivalent ratios above
∴ [tex]\frac{1}{b}[/tex] = [tex]\frac{5}{25}[/tex]
→ By using the cross multiplication
∵ 5 × b = 1 × 25
∴ 5b = 25
→ Divide both sides by 5
∴ b = 5
∴ The second missing is 5
∵ a = 1 and b = 10
∵ c = 5
→ By using the form of the equivalent ratios above
∴ [tex]\frac{1}{10}[/tex] = [tex]\frac{5}{d}[/tex]
→ By using the cross multiplication
∵ 1 × d = 10 × 5
∴ d = 50
∴ The third missing is 50
∴ The equivalent ratios are [tex]\frac{1}{5}[/tex] = [tex]\frac{2}{10}[/tex] = [tex]\frac{5}{25}[/tex] = [tex]\frac{10}{50}[/tex]
The table with the missing numbers
1 5
2 10
5 25
10 50
Over the past month, a hairstylist has had 56 female clients and 24 male clients. What is the ratio of male clients to female clients for this hairstylist?
Answers
Answer:
24:56
Simplified: 8:7
Step-by-step explanation:
5x³y+10xy²
I will mark brainlest
Answers
5x³y+10xy²
we can factorise
5xy(x^2+2y)
