Answer:
GCF: (x + 2)(9x + 6)
Step-by-step explanation:
Given the algebraic expression, 9x(x + 2) + 6(x + 2), where the greatest common factor (GCF) must be taken out:
Solution:Since (x + 2) are common between the two groups, then we can group 9x and 6 together.
In other words:
= 9x(x + 2) + 6(x + 2)
= (9x + 6)(x + 2)
If we perform the FOIL method onto (9x + 6)(x + 2), it will result in the following trinomial:
(9x + 6)(x + 2)
= 9x² + 18x + 6x + 12
= 9x² + 24x + 12
Verify Solution:In order to see why this works, let's go back to the original problem, as if we're trying to determine the resulting trinomial:
Given: 9x(x + 2) + 6(x + 2)
Distribute 9x and 6 into the parenthesis:
= 9x² + 18x + 6x + 12
Combine like terms:
= 9x² + 24x + 12 ⇒ As we can see, this trinomial matches our solution.
Therefore, the correct answer is: (x + 2)(9x + 6).
-4y + 12 = -7y + 24
I’ll give Brain whoever solves
PLEASE DO IT STEP BY STEP
Answer:
y - 4
Step-by-step explanation:
subtract 12 from both sides of the equation
4y+12-12= -7y +24 - 12
-4y = -7y +24 - 12
subtract
-4y +-7y + 12
add 7y to both sides of the equation
-4y + 7y = -7y +12 + 7y
simplify
3y + -7y +12 + 7y
combine like terms.
3y = 12
divide
3y/3
=12/3
simplify
y=12 3
y = 4
Answer:
y = 4
Step-by-step explanation:
Given the algebraic equation, -4y + 12 = -7y + 24, the goal is to solve for the value of y by isolating it to either sides of the equation.
Start by adding 7y to both sides of the equation:
-4y + 7y + 12 = -7y + 7y + 24
3y + 12 = 0 + 24
3y + 12 = 24
Next, subtract 12 from both sides:
3y + 12 - 12 = 24 - 12
3y = 12
Divide both sides by 3 to isolate and solve for y:
[tex]\frac{3y}{3} = \frac{12}{3}[/tex]
y = 4
Double-check whether the value of y will provide a true statement if plugged into the equation:
-4y + 12 = -7y + 24
-4(4) + 12 = -7(4) + 24
-16 + 12 = -28 + 24
-4 = -4 (True statement).
Therefore, the value of y = 4.
I don’t really understand this, if you don’t mind please explain.
Answer:
Roman is wrong because 6/31 is bigger than 9/47
Step-by-step explanation:
no.
i want you to BRING OUT THAT AWESOME CALCULATOR RIGHT NOW! I DONT CARE IF ITS ON YOUR COMPUTER or even an ol fashioned one right in your hands
ok now enter 6 and then divide by (division sign), and then 31. and press Enter or equal sign. now notice that we get A SUPER LONG NUMBER like this
0.19354838....
DO THE SAME THING WITH 9 divided by 47!!
0.19148936....
ok notice. take a look at the third number from the decimal point for each result. they are different. for some SILLY REASON, Roman decided to ignore the rest of the numbers.
6/31 is bigger than 9/47!!!!
convert 250 Angtrums to centimeters
Can someone help me with this? (Do not upload through file only text please!)
Answer:
-6
Step-by-step explanation:
f(0) = 5(0) -6
f(0) = -6
Crystal has played the piano for 15 years. Jane has played for 3 years. How many
times longer has Crystal played the piano I need equation: and answer
Answer:
15/3=5
Step-by-step explanation:
Crystal has played the piano for 5 times longer than Jane.
Giving brainliest to correct answer
1/4 + 1/3 + 11/12 6/15 + 3/10 + 3/5
4/5 + 3/15 - 2/3 4 2/5 + 5 2/6
Answer:
#1) 3/2 #2) 13/10 #3) 1/3 #4) 49/15
Step-by-step explanation:
This may not be right because I don't know if you wanted the answers in fractions or not, but I tried. There's too much work to show. Sorry.
100 POINTS!! WILL MARK BRAINLIEST
NEED RESPONSE ASAP PLEASE AND THANK YOU!!
Consider the function f (x) = 3x^3 + 10x^2 - 13x - 20
(a) Determine the x-intercepts of f (x)
(b) Determine the y-intercepts of f (x)
(c) Identify a point in between each of the x-intercepts of f(x)
(d) Determine the end behavior of f (x)
(e) Use the points and end behavior from parts (a) - (d) to graph f (x)
Label the scale of each axis.
All help is greatly appreciated!
At the market you spent $21 for 5 bags of chips and 3 bottles of mango juice. Your buddy
spent $12 for 2 bags of chips and 3 bottles of mango juice. How much does each item cost?
Answer:
$2 for each bottle of mango juice and 3$ for each bag of chips
Step-by-step explanation:
hope it can help you lovelots
Find the equation of this line. i’m really confused and i really need help.
!!!WILL MARK BRAINLIEST IF ALL ARE ANWSERED!!! please provide short explanations
Answer:
20= 20
21. 10
22. 1.8
23. 4.4
24. 32
25. 7/9
If a=6, b=12,and c=4, then what does 2ab-c^2 equal?
Answer: 2(6)(12)-4^2 = 128
What is the prime factorization of 100,000?
Answer: 2^5× 5^5
Solve for x. 5.8 = 4x+0.2
Answer: x= 1.4
Find the area of this shape.
Answer: Area = 1.21
What is the lateral surface area of this rectangular prism?
Answer: 208 in^2
5/9 + 1/3 × 1/3 = 0.66666666666 = 2/3
Step-by-step explanation:
The prime factorization of 100,000 is 2^5 × 5^5. Since it has a total of 10 prime factors, 100,000 is a composite number.
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5.8-0.2=4+0.2−0.2
5.6 = 4x
5.6/4 = 4x/4
x= 1.4
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Square sides are equal..
A=a^2=1.1^2≈1.21
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The lateral surface area of a rectangular prism can be calculated by finding the sum of all the lateral faces of the prism, i.e. the total area excluding the area of the bases. The formula to find the surface area of a rectangular prism is given as, Lateral surface area of a rectangular prism = 2(l + b) h square units.
When a prism has its bases facing up and down, the lateral area is the area of the vertical faces. (For a rectangular prism, any pair of opposite faces can be bases.) The lateral area of a right prism can be calculated by multiplying the perimeter of the base by the height of the prism.
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Plz help don't understand
1 thru 4------Don't mind the other writing------
The sum of three consecutive numbers is 72.
What IS the smallest of these numbers?
Help Me Within 7 Minutes for brainliest. I already have a sorta guess But I'm not positive, A little help here? I want to confirm my answers and it seems no one else ever posted this question out.
y=3x+5
m=3Parallel lines has equal slope .
So equation of parallel line also have slope 3Take the 2nd option
[tex]\\ \sf\longmapsto 6x+2y=12[/tex]
Cut 3[tex]\\ \sf\longmapsto 3x+y=4[/tex]
[tex]\\ \sf\longmapsto y=-3x+4[/tex]
Note the answerTake 3rd option
[tex]\\ \sf\longmapsto -3x+y=8[/tex]
[tex]\\ \sf\longmapsto y=3x+8[/tex]
Take the 1st option
[tex]\\ \sf\longmapsto 3y=9x[/tex]
[tex]\\ \sf\longmapsto y=3x[/tex]
Option C and A is correct
Answer:
C and A
Step-by-step explanation:
Parallel means same slope, which is 3. Just solve for y in each equation, and see if 3 is the slope.
a. 3y = 9x
y = 3x
---
b. 6x + 2y = 12
2y = -6x + 12
y = -3x + 6
---
c. -3x + y = 8
y = 3x + 8
---
d. y = -1/3 x
What is the value of x? Show your work.
[tex] \frac{30}{25} = \frac{4x - 4}{20} \\ [/tex]
[tex] \frac{5 \times 6}{5 \times 5} = \frac{4x - 4}{20} \\ [/tex]
[tex] \frac{6}{5} = \frac{4x - 4}{20} \\ [/tex]
Multiply both sides by 20
[tex]20 \times \frac{6}{5} = 20 \times \frac{4x - 4}{20} \\ [/tex]
[tex] \frac{5 \times 4 \times 6}{5} = 4x - 4 \\ [/tex]
[tex]24 = 4x - 4[/tex]
Add both sides 4
[tex]24 + 4 = 4x - 4 + 4[/tex]
[tex]28 = 4x[/tex]
Switch sides
[tex]4x = 28[/tex]
Divide both sides by 4
[tex] \frac{4x}{4} = \frac{28}{4} \\ [/tex]
[tex]x = 7[/tex]
There you go...
Have a great day ❤
um I need help with thissss
Answer:
its you again
Step-by-step explanation:
if they have the same amount of dashes on the same sided they are congruent
does that answer your question
if they have the same amount of dashes on the same sided they are congruent
Find the perimeter.Simplify your answer.
Answer:
20c+14
Step-by-step explanation:
To find the perimeter we have to add up all the sides
4c+6c+7+4c+6c+7
Combine light terms
20c+14
Answer:
Well your not given C so we just leave that be and we can just add up all 4 sides since perimeter means outside length total. Now when added up,
6c+7+6c+7+4c+4c= 20c+14
20c+14 is the perimeter
plzz helpp what's (12+9⁷)+1284
Answer:
4784265
Step-by-step explanation:
(12+9⁷)+1284
12 + 4782969 + 1284
4784265
To resolve this issue first we have to remember the rules to resolve a numeric expression, see:
Power and RadiciationMultiplication and DivisionAddition Sum and Subtraction.[tex]\sf \left(12+9^7\right)+1284\\\\\\\sf =12+4782969\\\\\\\sf =4782981+1284\\\\\\\to \boxed{\sf 4784265}[/tex]
Okay?!Can someone help me with this please?
Answer:
Step-by-step explanation:
0.000456 in scientific notation (Please answer fast this is on my final math exam!)
Answer:
0.000456 in scientific notation
= 4.56 × 10-4
Step-by-step explanation:
Can I have brainliest?
0.000456 in scientific notation is 4.56 × 10-4
72% of 25 students are interested in mathematics how many are not interested in mathematics by moderators.
Answer:
7 students
Step-by-step explanation:
72/100 × 25 students = 18
18 students are interested in mathematics
therefore, 25 - 18 = 7 students are not interested
(1 point) Water is leaking out of an inverted conical tank at a rate of 8500.0 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 14.0 m and the the diameter at the top is 7.0 m. If the water level is rising at a rate of 29.0 cm/min when the height of the water is 1.5 m, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
Answer:
2030.4
Step-by-step explanation:
divided 85 and 7.0
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8
Answer:
C
Step-by-step explanation:
Slope can truly be anything as long as they're equal
Answer:
c.their slopes are equal
1/6 to the power of 3
Answer:
0.00462962962
Step-by-step explanation:
Noah’s recipe for one batch of sparkling orange juice uses 4 liters of orange juice and 5 liters of soda water. If someone uses 455 liters of soda water, how much orange juice would they need? And then how many batches would that make?
Answer:364
Step-by-step explanation:
What is the slope-intercept form and slope and y-intercept of the problem: -4x+2y=10?
Answer:
slope intercept is y=mx+b where m is the slope and b is the y intercept
so the slope is 2 and the y intercept is 5 so the equation is y=2x+5
Step-by-step explanation:
Given: x + 2 < -5.
Choose the solution set.
{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < -7}
{x | x R, x < 7}
Answer:
x < -7
Step-by-step explanation:
Subtract 2 on both sides to get x < -7.
Hope this helps :)
Bo has $500 in his savings account. He plans to add $150 to his savings account every month. Recently, he purchased a tractor to use on his farm for $4,000. He plans to pay off the total price of the tractor over time by paying $200 a month from a separate account. How much will Bo have in his savings at the time he pays off the tractor in full? A. $3,500 B. $3,000 C. $2,150 D. $2,000.
Answer:
D. $2,000
Step-by-step explanation:
Found this answer somewhere and it made sense so I hope its correct :D
Answer:
it is 3500 You take 4000 divide by 200 which is 20 months then take 150 times 20 equals 3000 then add 500
Step-by-step explanation:
Convert 9 km into cm
Answer:
900,000
Step-by-step explanation:
can someone help me solve this question? -6 - (-10) + (-2)
Answer:
2
Step-by-step explanation:
note - (- ) = + and + (- ) = -
- 6 - (- 10) + (- 2)
= - 6 + 10 - 2
= 4 - 2
= 2
Answer:
2
Explanation:
- 6 + 10+ (- 2)
= 4+(-2)
=2
Bruno and Willie need a total of $50,000 to start an accounting business. Bruno has spent a lot of time getting the business set up, so Willie agrees to contribute $12,000 more than Bruno. How much money will Willie contribute?
The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.
Let amount contributed by Willie be x
Let amount contributed by Bruno be y
Since Willie agreed to contribute $12,000 more than Bruno;
Therefore;
x - y = 12000....…....... equation (1)x + y = 50,000...…....... equation (2)By solving the system of equations simultaneously;
2x = 62000x = 31000and y = 50,000 - 31000y = 19,000In essence; The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.
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https://brainly.com/question/23612222