Step-by-step explanation:
[tex] \tt{(3 {a}^{2} + 2ab + 2b) + (5 {a}^{2} - 3ab + 9})[/tex]
~While adding , the sign of each term of second expression remains same. So, Remove the unnecessary parentheses :
⤑ [tex] \tt{3 {a}^{2} + 2ab + 2b + 5 {a}^{2} - 3ab + 9}[/tex]
~Like terms are those which have the same base. Combine the like terms :
⤑ [tex] \tt{3 {a}^{2} + 5 {a}^{2} + 2ab - 3ab + 2b + 9}[/tex]
⤑ [tex] \sf{8 {a}^{2} - ab + 2b + 9}[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{ ⟿ Our \: final \: answer : 8 {a}^{2} - ab + 2b + 9}}}}[/tex]
Hope I helped ! ツ
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Answer:
Simplified answer is: [tex]8a^2 - ab + 2b + 9[/tex]
Step-by-step explanation:
Key skills needed for understanding: Combining Like Terms
1) You are given the equation: [tex](3a^{2} + 2ab + 2b) + (5a^{2} - 3ab + 9)[/tex]
- Since you are adding here, you can remove the parentheses.
- If you remove them it would be --> [tex]3a^2 + 2ab + 2b + 5a^2 - 3ab + 9[/tex]
2) Now we have to combine like terms in order to simplify this equation.
Combining like terms is simply combining terms with the same base (such as the terms that have "ab" or the terms that have "[tex]a^2[/tex]" or the terms that have nothing - these terms are numbers such as 9 or 5).
You can combine 2ab and -3ab, but you cannot combine 9 and 2b. Hope you understood this concept.
3) If you combine like terms ( [tex]3a^2 + 5a^2[/tex], [tex]2ab - 3ab[/tex]) you will get a different expression: [tex]8a^2 - ab + 2b + 9[/tex].
[tex]8a^2 - ab + 2b + 9[/tex] is the answer.
Hope you understood and have a nice day!! :D
Write an explicit rule to represent the sequence: 20, 24, 28, 32, 36....
Please help, I don't understand.
What percentage of the flag is taken up by the union?
A rug is 12 feet wide and 15 1/2 long. What is the area of the rug?
Answer:
It Is 186ft
Step-by-step explanation:
A car’s engine spins at 1500 RPM. What is the frequency of the rotating engine? Uh sos pls im clueless
Here's your answer,
Answer:
1500÷2
750
Please help! This is algebra btw
Answer:
yellow
Step-by-step explanation:
Check all that apply. sec is undefined for =
Answer:
3pi/2 pi/2
Step-by-step explanation:
trust
64 3/4 is equivalent to
The Equivalent fraction to 64 3/4 is 259/4.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.We have 64 3/4.
First change the mixed fraction into normal fraction as
64 3/4
= (4 x 64+3)/ 4
= 259/4
Learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ5
Need help with this....
Answer:
Step-by-step explanation:
try substituting the points into both of the equations like it's a slope equation.
Wich equation has a solution of 2/3 for n?
Answer:
[tex]15n=10\\\\n=\dfrac{10}{15}\\\\n=\dfrac{2}{3}[/tex]
Step-by-step explanation:
We need to find out of 4 options which equation has a solution of 2/3 for n.
Equation (1).
[tex]n-1=\dfrac{1}{3}\\\\n=\dfrac{1}{3}+1\\\\n=\dfrac{4}{3}[/tex]
Equation (2).
[tex]16n=24\\\\n=\dfrac{24}{16}\\\\n=\dfrac{3}{2}[/tex]
Equation (3).
[tex]15n=10\\\\n=\dfrac{10}{15}\\\\n=\dfrac{2}{3}[/tex]
Equation (4).
[tex]1\dfrac{1}{3}+n=3\\\\n=3-\dfrac{4}{3}\\\\n=\dfrac{5}{3}[/tex]
So, equation (3) has a value of n as 2/3. Hence, the correct option is (3).
I need help ASAP! Thank you :)
Answer:
1/3
Step-by-step explanation:
sin=p/h
p/h= 3/9
3/9=1/3
PLSSSS HELLPPPP MEEEEE I WILLL GIVEEE BRAINLIESSSTTT!!!!
Answer:
4 quizzes are taken per week
i will give you brainlist
Answer:
12 for 7$
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Six cans for $4
The coordinates of the vertices of a polygon are shown on the grid below.
On a coordinate plane, point A is at (negative 2, 3), point B is at (negative 2, negative 3), point C is at (4, negative 3), and point D is at (4, 3).
If the points are connected, how many sides will this polygon have?
Answer:
It's obviously 4 sides.
Step-by-step explanation:
If you count it, point A, point B, point C, point D, those adds up to 4..
can i have brainliest??
Answer:
4
Step-by-step explanation:
Determine the value of y that maintains the congruence of the figures.
Answer:
We conclude that the value of y = 11 cm.
Step-by-step explanation:
Given that both the figures maintain the congruence of the figures. It means both the figures have the same size.
Thus,
The length of DQ = The length of EL
Given
The length of DQ = 3y - 1
The length of EL = 32 cm
so
The length of DQ = The length of EL
3y - 1 = 32
Adding 1 to both sides
3y - 1 + 1 = 32+1
3y = 33
Dividing both sides by 3
3y/3 = 33/3
y = 11
Thus, the value of y = 11 cm
Therefore, we conclude that the value of y = 11 cm.
IN NEED OF HELP PLEASE
Answer:
yes b aas
Step-by-step explanation:
vince has 1/2 ton of gravel to spread equally in 8 square yards for his driveway how many tons of gravel will be spread in each square yard
Answer:
Is there any answer choices so I have some opions
Step-by-step explanation:
16. Which statement best describes a margin of error?
A. the difference between a sample mean and a population proportion
B. the value of error between a sample mean and a population proportion
C. the difference between a sample mean and a population mean
D. the value of error between a sample statistic and an actual population parameter
Answer: D. the value of error between a sample statistic and an actual population parameter
Step-by-step explanation:
In a study , the margin of error gives the amount of the random variation of the actual result from its estimation.
So, it is the value of error between a sample statistic( which is estimated population parameter until actual is known) and an actual population parameter.
Hence, the best statement to represent the margin of error :
D. the value of error between a sample statistic and an actual population parameter
find the multiplication inverse of the following (1) -3
5
Midpoint rule with given value
9514 1404 393
Answer:
M₅ = 1.6570
Step-by-step explanation:
The basic idea is to find the function values at x ∈ {1.1, 1.3, 1.5, 1.7, 1.9}, add those values, and multiply the result by 1/5. Those x-values are the midpoints of intervals 0.2 units wide, between x = 1 and x = 2. The width 0.2 is the total interval width (2-1=1) divided by n = 5.
The calculation and results are shown in the attachment. Rounded to 4 decimal places, the integral is ...
M₅ = 1.6570
__
The actual integral is about 1.6574, so this is pretty close.
An art teacher mixes 5 parts blue paint and 3 parts white paint to make a light blue color to paint a Tar Heels logo on a school mural. If she needs a total of 40 gallons of light blue paint to paint the mural, how many gallons of blue paint will she use?
Answer:
50
Step-by-step explanation:
For starters, we make the following assumptions
Let the blue paint be represented by x
Let the white paint be represented by y
Now, forming an inequality equation from the question, we can say that
5x + 3y = 1
And from the second part, we are told that 40 gallons of light blue paints are needed.
If 5x + 3y = 1, then multiplying all by 40, we have
200x + 120y = 40
This means that 200 parts of blue paints is needed to be mixed with 120 parts of white paints to get the desired 40 gallons.
There are 4 parts in a gallon, so 200 parts = 200/4 gallons, = 50 gallons of blue paints
Write an equivalent equation by combining like terms.
6a + 5 + 2a - 4
what is the dilation the bigger one is the original.
Solve the inequality and graph the solution.
m - 6 > 2
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from
closed to open. Select the middle of the ray to delete it.
+ + +
+ + + + +
0 1 2. 3 4 5
6 7 8 9
3
4
CO
10
Submit
Answer:
Solving the inequality [tex]m - 6 > 2[/tex] we get [tex]\mathbf{m> 8}[/tex]
The graph is shown in figure attached.
Step-by-step explanation:
We need to solve the inequality and graph the solution.
[tex]m - 6 > 2[/tex]
First solve the inequality
[tex]m - 6 > 2\\[/tex]
Adding 6 on both sides
[tex]m-6+6>2+6\\m>8[/tex]
Solving the inequality [tex]m - 6 > 2[/tex] we get [tex]\mathbf{m> 8}[/tex]
Now, we will plot m > 8 on the graph
The graph is shown in figure attached
There will be an open circle on 8 as (m > 8) and line moves on right sides of 8.
There were 4 students at the football game. They had 6 sodas to share
equally. How much soda did each child get?
Answer:
1.5
Step-by-step explanation:
6/4=3/2
3/2=1 1/2
or
1.5
Answer:
1.5
Step-by-step explanation:
helppppppppp plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
B
Step-by-step explanation:
Write the equation in slope-intercept form.
5x +
5y = 35
Answer:
y = -x + 7
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
[Standard Form] 5x + 5y = 35
Step 2: Rewrite
Find slope-intercept form.
Subtract 5x on both sides: 5y = -5x + 35Divide 5 on both sides: y = -x + 7A triangle with coordinates (1, 1), B(4, 2). C1(3, 5) is translated three units down and five units to the left. What are the coordinates of the new triangle?
Your answer should be B.
Explanation: Moving left or right affects the x coordinate, and moving up or down affects the y coordinate.
Moving 3 units down: A(1, 1 - 3), B(4, 2 - 3), C(3, 5 - 3) = (1, -2), (4, -1), (3, 2)
Moving 5 units to the left: A(1 - 5, -2), B(4 - 5, -1), C(3 - 5, 2) = A(-4, -2), B(-1, -1), C(-2, 2)
(Sorry I said A, earlier.)
The priduct of seven and p
Answer: 7 * p = 7p
Step-by-step explanation:
Darius buys a bottle of a chemical solution that contains 70% alcohol. The bottle contains 500 milliliters of solution.
How many milliliters of alcohol are in the solution?
Answer:
350 ml
Step-by-step explanation:
70% of 500 ml = 0.7*500 ml = 350 ml
Answer:
350 ml
Step-by-step explanation:
70% of 500 ml = 0.7*500 ml = 350 ml
How do I solve for x?
Answer:
Step-by-step explanation:
determinant= (-1/2*10)-(-2*x)=25
-5-(-2x)=25
-5+2x=25
2x=30
x=30/2=15