Please solve these algebraic questions? THANKS

Answers

Answer 1

Step-by-step explanation:

Note: I'm only providing solutions for Problem 9.

9. Simplify the following by collecting like terms:

Combining like terms involve performing the required mathematical operations (using the PEMDAS rule). The terms must have the same degree (or exponents).

a) 3a + 7a

Add the coefficients of both terms.

3a + 7a = 10a

b) 4n + 3n

Add the coefficients of both terms.

4n + 3n = 7n

c) 12y - 4y

Subtract the coefficient of both terms.

12y - 4y = 8y

d) 5x + 2x + 4x

Add the coefficients of all terms.

5x + 2x + 4x = 11x

e) 6ab - 2ab - ba

The last term, "ba," can be rewritten as, "ab." Remember that with algebraic expressions such as "ab," it essentially involves multiplication of both variables within the same term. Thus, ab = a × b. The variables ab also have a numerical coefficient of 1: 1a × 1b.

Now, we can perform the subtraction on all terms:

6ab - 2ab - ab = 3ab.

f) 7mn + 2mn - 2mn

Subtract 2mn from 2mn, which leaves you with 7mn:

7mn + 2mn - 2mn = 7mn

g) 4y - 3y + 8

For this algebraic expression, you could only combine the terms with the same variable and degree. Therefore, you'll have to subtract 3y from 4y, leaving the constant, 8, unaffected.

4y - 3y + 8 = y + 8

h) 7x + 5 - 4x

Similar to question g, only combine the terms with the same degree and variable, leaving the constant unaffected.

7x + 5 - 4x = 3x + 5

i) 6xy + xy + 4y

You could only combine the terms with the same set of variables and degree, which are the first two terms on this given question. You cannot combine the last term, 4y, into the other terms.

6xy + xy + 4y = 7xy + 4y

j) 5ab + 3 + 7ba

Using the same reasoning as in question e: the last term, 7ba, can be rewritten as 7ab, for which you could combine with the first term, 5ab.

5ab + 3 + 7ba = 12ab + 3

k) 2 - 5m - m

Combine the like terms, which are the second and the last term.

2 - 5m - m = 2 - 6m

l) 4 - 2x + x

Combine the like terms, which are the second and the last term.

4 - 2x + x = 4 - x

Related Questions

what is 1483 divided by 7? what is the remainder

Answers

Answer:

211 remainder 6

Step-by-step explanation:

211,85714

211 is the whole number

,85714 is the remainder

Of the eighth graders at the Paxton School, 14 played basketball, 9 played volleyball, 10 played soccer, 1 played basketball and soccer only, 2 played volleyball and soccer only, 1 played basketball and volleyball only, and 2 played volleyball, basketball, and soccer.
How many played one or more of the three sports?

Answers

6 kids played one or more of the 3 sports

Find the y intercept of the line -5x-2y=-14

Answers

Answer:

the y intercept is7

Step-by-step explanation:

at y-axis x=0, y=7

1 + 1? (just for fun!)

Answers

Answer:

equal 11

Step-by-step explanation:

hmmm wonder what else it would be

what is the equation of the line that is perpendicular to y=-1/4x-2 and goes through the point (-2,-3)

Answers

Step-by-step explanation:

y=-1/4x-2

1/4x+y+2=0.........1

line perpendicular to eqn 1 is

x-1/4y+k=0

as the line passes through the (-2,-3)

-2-1/4×-3+k=0

-1+4k=0

K=1/4

the eqn is 4x-y+1=0

Find the lines of symmetry. Select all that apply. Thank you!

Answers

Lines r & t are the lines of symmetry here.

◇ The line r cuts the figure vertically into 2 equal halves.

◇ The line t cuts the figure horizontally into 2 equal halves.

◇ The lines q & s don't cut the figure symmetrically (2 unequal parts are formed), so they are not the lines of symmetry.

See the attachments too.

______

Hope it helps ⚜

Your neighbour has two children. You learn that he has a son, Samuel. What is the probability that Samuel's sibling is a brother?

Answers

Answer:

1/2

Step-by-step explanation:

there is a 50 50 chance that somebody is male or female

What Value is equivalent to 30-6 x 3

Answers

Answer:

5/1

Step-by-step explanation: I could be wrong though

Have a Good Day <3

5/1 this should be right

If f (g(x)) = Square root x+8, identify the inside function g(x) and the outside function f(x) of the composite function.

Answers

Answer:

Given composite function:

f(g(x)) = √(x + 8)

Possible functions that compose it:

g(x) = x + 8

and

f(x) = √x

HELP ME OUT PLEASE

Use the data to create a scatter plot.

Answers

Follow the table in this order: everything on the left side of the table is the x axis value so if it is 2 find 2 on the horizontal line. Everything on the right side of the table is the y axis value so after you find where to go on the x go up from that spot to find where those two points meet. It may help if you are just starting to draw a line and find out where points meet but that will be time consuming and messy. Just remember what order you place coordinates and remember to read the labels on the graph. Hope that helped more :)

Answer: The scatterplot is shown below.

Explanation:

Each row in the table represents a different (x,y) point.

For example, the first row says that x = 2 and y = 1. We'll have a point at (2,1) on the graph. This means we start at the lower left corner which is the origin. Then we move 2 units to the right and 1 unit up to arrive at (2,1). The other rows are handled in a similar manner to get what you see below. The points are not connected with any line or curve. The labeling of A,B,C, etc is optional. I did it to help keep track of all the points in the table.

Predict the next number in this pattern:

2/3, 2/27, 2/243, 2/2187, 2/19683, ...

Answers

Answer:

aaaaaaaaaaaaaaaaaaaaaaaaaaaa

Step-by-step explanation:

At the beginning of a basketball season, the Panthers won 30 games out of 100 games. At this rate, how many games will they win in a normal 120-game season?

Answers

Answer:40

Step-by-step explanation: 12 divided by 3

can someone help me with this please?

Answers

Answer:

Okay, Please copy paste the question. I cannot see.

Step-by-step explanation:

PLEASE HELP WITH THIS QUESTION

Answers

Answer:

Heigh <= 63

Width <= 56

Length <= 61

Step-by-step explanation:

Height: x+7

Width: x

Length: x + 5

(x + 7) + (x) + (x + 5) <= 180 cm^3

3x + 12<= 180

3x <= 180-12

x <= 168/3

x <= 56

Can someone help me on this

Answers

Answer:

39V3 Sq.units of that will help you

What is the temperature change between the greatest value and the least value?
-25°F, 5°F, 60°F, -45°F, -10°F, 90°F
WILL BR MARKED BEST

Answers

The temperature change between the highest and lowest.
Highest- 90 degrees
Lowest- -45 degrees

-45 to 0 = 45 units
0 to 90 = 90 units
45+90 units = 130

ANSWER 130

The equilateral triangle with side 12 has altitude

Answers

Step by step explanation

PLEASE I NEED HELP ITS URGENT.

Answers

Answer:

Step-by-step explanation:

help me with math and ill mark brainliest

Answers

Answer for this question is b) m3=96°

Find the angle measures. Justify your responses.
m
a
21
34
b
65
7/8
Given: a 1b, m_2=3x +20°,
m27=2x -10°
Find: m3, m26
mZ3 =
=
m26=
=

Answers

Answer:

m∠3 = 2x - 10° and m∠6 = 3x + 20

m∠3 = 58° ; m ∠6 = 122°

Step-by-step explanation:

a ║ b

m∠2 = m∠6 If ║ cut by a transversal, then corresponding angles

are ≅ and =

m∠7 = m∠3 If ║ cut by a transversal, then corresponding angles

are ≅ and =

m∠2 = 3x + 20 Given

m∠7 = 2x - 10 Given

m∠6 + m∠3 = 180° If ║ cut by a transversal, then each pair of same-side

interior angles (also called consecutive interior angles

are supplementary (sum = 180°) .

3x + 20 + 2x - 10 = 180°

5x + 10 = 180°

5x = 170°

x = 34°

Answer: m∠3 = 2x - 10° and m∠6 = 3x + 20

m∠3 = 2(34) - 10 ; m∠6 = 3(34) + 20

m∠3 = 58° ; m ∠6 = 122°

Answers

Answer:

2³

Step-by-step explanation:

2×2×2=8

so √8 = 2³

Hope this helps you

what is 2x-4y=12 x-3y=10

Answers

Answer:

(x,y) = (5/21, -50/21)

Step-by-step explanation:

3. Mr. Morris orders a bottle of lotion that contains (15)liters. He use 2/6 of a liter of
lotion a day. How many days can he use the bottle of lotion until it is empty?

Pls help and show me how to do it

Answers

Answer:

Step-by-step explanation:

If he uses 2/6 of a liter thats 3 days for 1 liter.

3 x 15 is 45. so 45 days

Find the additive inverse and the multiplicative inverse, if it exists, of the given number. 5 in modulo 8 arithmetic

Answers

The additive inverse of 5 modulo 8 is the number a such that

5 + a ≡ 0 (mod 8)

Then

a ≡ -5 ≡ -5 + 8 ≡ 3 (mod 8)

The multiplicative inverse is m such that

5m ≡ 1 (mod 8)

Use the Euclidean algorithm:

8 = 1•5 + 3

5 = 1•3 + 2

3 = 1•2 + 1

Then

1 = 3 - 1•2

1 = 3 - 1•(5 - 1•3) = 2•3 - 1•5

1 = 2•(8 - 1•5) - 1•5 = 2•8 - 3•5

and so

1 ≡ 2•8 - 3•5 ≡ (-3)•5 (mod 8)

which means the inverse of 5 is

-3 ≡ 8 - 3 ≡ 5 (mod 8)

f(ə) =
g(x) = (x - 2)2 – 7
We can think of g as a translated (shifted) version of f.
Complete the description of the transformation,
Use nonnegative numbers.
To get the function g, shift f up/down v
by
units and to the
right/left
by
units.

Answers

Answer: To get function g, shift f DOWN by 7 units and to the RIGHT by 2 units

Step-by-step explanation: g(x)= (x-2)^2-7 since they’re both negatives it should be the opposite. An example would be g(x)=(x+3)^2+5, f goes UP for positive by 5 units, left by 3 units.

C is wrong help me please

Answers

Answer:

Step-by-step explanation:

x from 0 < x < 2 is wrong because < means goes to but does not equal that value, and [tex]\leq[/tex] means it INCLUDES that value. Because the function includes it (not an open hole), you should choose A.

what are the reasons to #3 and #5??

options for both #3 and #5

- CPCTC
- Given
- When two lines are parallel and cut by a transversal, the consecutive interior angles are supplementary
- opposite sides of a parallelogram are parallel
- reflexive property
- angles that are supplementary to the same angle are congruent

Answers

Answers:

3) When two lines are parallel and cut by a transversal, the consecutive interior angles are supplementary.5) angles that are supplementary to the same angle are congruent.

==============================================================

Explanation:

Basically, statements 3 and 4 are nearly identical. They both use the exact same reasoning. For statement 3, the parallel lines are QT and RS, with QR being the transversal. Refer to the same side interior angles theorem. It's also known as the consecutive interior angles theorem.

-------------

For statement 5, consider the idea that if

Q+R = 180

Q+T = 180

then those two equations lead to T = R. Both angles T and R are supplementary to angle Q, so they must be the same angle. So that's why we go with the "angles that are supplementary to the same angle are congruent" option for this part.

Which equation is linear? y=x4 y=xy –x3 ОООС f(x) = 3х + 1 y=xУ

Answers

Answer:

f(x) = 3х + 1

Step-by-step explanation:

Number 8 need asappp!!!!

Answers

Step-by-step explanation:

Angle A + Angle B = 180

x-34+x+58=180

2x+24=180

2x+24-24=180-24

2x=156

/2 /2

x=78

To solve for Angle B, fill x as 78

58+78

Angle B is 136

Multiply (-2-i)(4+I)

Answers

Answer:

Step-by-step explanation:

(-2-i)(4+I)

= (-8-2i-4i-l)

thats it basically since there are two unknowns so it cant be simplified further

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