What is the purpose of having like terms on each side
of the equation?

Answers

Answer 1

Answer:

A frequently-used procedure in algebra is the process of combining like terms. This is a way to "clean-up" an equation and make it much easier to solve. In case you've forgotten, a term is each single part of an expression. For example, in the expression 4x+3+7y 4 x + 3 + 7 y , there are three terms: 4x , 3 , and 7y .


Related Questions

13.6.4 Quiz: The Quadratic Formula
Which two values of x are roots of the polynomial below?
x²-3x+5
O A. X=3--11
x3
O B. X=-3-17
I c. x= -3+
-3+ VTT
I D. X=
3-√23
Ex=
3+ -11
DEX=
3+29

Answers

The answer is: bye hope you get it right

1) x² + x + 3 = 0 use the discriminant to tell whether the equation has two solution​

Answers

Answer:

The equation does not have any real solutions.

The equation only has two imaginary solutions.

Step-by-step explanation:

Step 1

Use Discriminant to check how many solutions does the equation have.

[tex] \large{D = {b}^{2} - 4ac}[/tex]

Let a = 1, b = 1 and c = 3 from the given equation.

[tex]D = {(1)}^{2} - 4(1)(3) \\ D = 1 - 12 \\ D = - 11[/tex]

Since the value of D is in negative. Therefore, the equation does not have any solutions.

Discriminant

[tex]D > 0 \longrightarrow \sf{two \: \: real \: \: solutions} \\ D = 0 \longrightarrow \sf{one \: \: real \: \: solution} \\ D < 0 \longrightarrow \sf{two \: \: imaginary \: \: solutions} [/tex]

Phyllis invested 32000 dollars, a portion earing a simple interest rate of 5 percent per year and the rest earning a rate of 6 percent per year. After
one year the total interest earned on these investments was 1820 dollars. How much money did she invest at each rate?

Answers

9514 1404 393

Answer:

$10,000 at 5%$22,000 at 6%

Step-by-step explanation:

Let x represent the amount invested at 6%. Then 32000-x is the amount invested at 5%, and the total interest earned is ...

  0.06x +0.05(32000 -x) = 1820

  0.01x +1600 = 1820 . . . . simplify

  0.01x = 220 . . . . . . . . . .  subtract 1600

  x = 22,000 . . . . . . . . . . . multiply by 100

  32000 -x = 10,000

Phyllis invested $22,000 at 6% and $10,000 at 5%.

trapezoid.mp4
Find the value of x and y.
Rek2
20
x
12
Y
x =
y =

Answers

9514 1404 393

Answer:

x = 12y = 20

Step-by-step explanation:

The figure only makes sense as a kite, in which case left sides are equal and right sides are equal.

  x = 12

  y = 20

Which one of the following statements is FALSE?
A
sin 70' = cos 20
B sin 15° = cos 65
С
COS 43 = sin 47
D
sin 12 = cos 78

Answers

Answer:

D because you have to cos

Answer:

B and D

Step-by-step explanation:

sin(15)=0.25

cos(65)=0.42

Explain the differences between properties of equality
and properties of inequality when solving equations and
inequalities.

Answers

Step-by-step explanation:

step 1. properties of equality have an "=" in the equation.

step 2. properties of inequality have a <, <=, >=, or a >.

Mieko has 4 times as many pencils as Holden. Holden has 8 pencils.
How many pencils, p, does Mieko have?

Answers

Answer:

meiko has 32 pencils

Step-by-step explanation:

8×4=32

Meiko has 32 pencils.

What is an equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Mieko has 4 times as many pencils as Holden. Holden has 8 pencils.

Let Mieko has x pencils,

Establishing the equation,

Therefore, according to question,

x = 4 × 8

x = 32

Hence, Mieko has 32 pencils

Learn more about equations, click;

https://brainly.com/question/29657983

#SPJ5

I need help with this

Answers

Answer:

76

Step-by-step explanation:

We know that the two angles must add up to 90 which means that

12+x-2=90

solve for x

14+x=90

x= 76

if x is subtracted from 5 and the result is greater than 15. Find the range of values of x

Answers

Answer:

x<-10

Step-by-step explanation:

You can write this inequality:

5-x>15

Solving it:

5-x>15

-x>10

x<-10

A ____ is a term with a number part but no variable. (WILL GIVE BRAINLIEST) (❁´◡`❁)​

Answers

Answer: it’s a Constant!

Step-by-step explanation:

What is an equivalent expression for 3(x-12)? *
O
3x-12
3x+12
O
3x-36
3x+36

Answers

The correct answer is
3x - 36

Answer:

3x-36 is equivalent to 3(x-12)

The graph shows the rate at which two fuel tanks are being filled. Which statement best interprets the distance shown on the graph?

Answers

Answer:

Tank B has 4 more gallons than tank A.

Step-by-step explanation:

The length of each side of parallelogram RSTU is multiplied by three to create parallelogram WXYZ.
What is the ratio of the area of parallelogram RSTU to the area of parallelogram WXYZ?
A.1:3
B.1:6
C.1:9
D.1:27
E.1:81

Answers

Answer:

I believe A?

Step-by-step explanation:

Can someone help me with 13-16 I’ll mark brainliest please guys I’m begging

Answers

How to solve your problem:

2a+13−0+65b

Simplify:

1. Add the numbers -

2a+13+0+65b = 2a+13+65b

2. Rearrange terms

2a+13+65b = 2a+65b+13

Solution: 2a+65b+13

The answer is B.

Sam has a bag
full of 25 marbles
that contain 9 red,
7 blue, 5 green, and
the rest are purple.
What is the probability
that a randomly selected
marble will be purple?

Answers

Answer:

4/25

Step-by-step explanation:

25 - 9 - 7 - 5 = 4

There are 4 purple marbles.

Out of the 25 marbles, 4 are purple so the probability of getting a purple is 4/25

Factorise
x^2 - 5x - 6

Answers

Answer:

(x+1)(x-6)

thats the ans :)

A manufacturing company is shipping a certain number of orders that need to weigh between 193 and 194 pounds in order to ship. Use the dot plot below to answer the following questions.193193.1193.2193.3193.4193.5193.6193.7193.8193.9194Step 1 of 3 : How many orders did the company ship between 193 and 194 pounds

Answers

Answer:

15 orders

Step-by-step explanation:

The computation of the orders did the company ship between 193 and 194 is given below:

= 1 dot + 2 dot + 3 dot + 8 dot + 1 dot

= 15 orders

We just simply count the total dots shown in the attached image in order to determine the number of orders

X + Y = 2. y =2x + 5 write the solution as a ordered pair ​

Answers

Answer:

(-1, -2)

x=-1

y=-2

Step-by-step explanation:

x+y=2

y=2x

Knowing this information, we can substitute y for 2x+5 in the first equation.

x+2x+5=2

3x+5=2

3x=-3

x=-1

Now, plug x into the second equation.

y=2(-1)

y=-2

When a teacher counted her students in groups of 4, there were two students left over. When she counted them in groups of 5, she had 1 student left over. If 15 of her students were girls and she had more girls than boys, how many students did she have?

Answers

There’s 16 students - 15 girls and 1 boy

Number of students in class = x students

X is two more than a multiple of 4

So x is an even number because multiples of 4 are even & adding 2 would mean it’s still equal

X is 1 more than a multiple of 5. We know x is an even number. It has to be a multiple of 5 ending in 5 not 0
5 + 1 = 6

All multiples of 4 ending in 6 are 16, 36, 56...

Since there are 15 girls and there are less boys than girls

16 - 15 = 1

Therefore there’s 16 students

The unit prices and quantities for two goods for two years
are shown in the table below. Assume that consumers are
purchasing 8 units of water and 10 loaves of bread. Also
assume that Year 1 is the base year.
Year
Price of Water Price of Bread
(dollars) (dollars)
$1.00
$2.00
1
2
2.00
3.00

Answers

Answer: $28

Step-by-step explanation:

The price of water in Year 1 is $1 per unit. There are 8 units so their value is:

= 8 * 1

= $8

Price of a loaf of bread is $2. The basket contains 10 loaves of bread. Value is:

= 10 * 2

= $20

Total value of the basket in year 1 is:

= 20 + 8

= $28

35 = 5n
solution with work shown! please help as fast as you can

Answers

I think................n=7..........

Answer:

what are you finding? n?

Step-by-step explanation:

35 = 5 x n

bring over

35/5 = n

7 = n

if you are finding n, this is the answer

hope it helps

someone help me please
39 - 24 + 6m

Which of the following describes 6m in the expression above?

A. factor
B. product
C. coefficient
D. sum​

Answers

The answer is C.!!!!
either a or c. most likely coefficient.

Solve 4x+x+4 = 8x -3x + 4

Answers

Answer:

x ∈ R

Step-by-step explanation:

4x+x+4=8x−3x+4

Combine 4x and x to get 5x.

5x+4=8x−3x+4

Combine 8x and −3x to get 5x.

5x+4=5x+4

Subtract 5x from both sides.

5x+4−5x=4

Combine 5x and −5x to get 0.

4=4

Compare 4 and 4.

True

This is true for any x.

x ∈ R

What is the answer? I really need it.

Answers

Answer:

B

Step-by-step explanation:

Which graph displays a rate of change of 2.5?
PLZ EXPLAIN! PLZ I RLLY NEED EXPLANATION!

Answers

Answer:

Step-by-step explanation:

Please help me out!

Answers

Purple Purple is the answer

Two consecutive positive integers have a product of 6 what are the integers

separate the answer with a comma

Answers

Answer:

2,3

Step-by-step explanation:

2 and 3 are consecutive numbers, and when you multiply them, you get 6.

Hope this helps.

Have a nice day.

Write an
equivalent expression using the distributive property.
1/4(4x - 6)

Answers

Answer:

Step-by-step explanation:

Distributive property: a*(b + c)= (a*b) + (a*c)

[tex]\frac{1}{4}(4x - 6) = 4x*\frac{1}{4} - 6*\frac{1}{4}\\\\[/tex]

              [tex]= x -3*\frac{1}{2}\\\\=x - \frac{3}{2}[/tex]

"My friend here Justin, he's already taken, and he's cracked at Fornite my guy.

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Answers

Answer:

i dk what to say

Step-by-step explanation:

Answer:

hhahahha i need my points on my alt account

Step-by-step explanation:

let me answer!!!!!!!!!

The expression (2x + 6) + x represents the perimeter of an isosceles triangle. If x represents the length of one side of the triangle, explain how you can use Distributive Property to find the length of each of the two equivalent sides?

Answers

Answer:

x+3

Step-by-step explanation:

x= one side of the triangle

(2x+6)=two sides of the isosceles triangle

Factor (2x+6) which is 2(x+3)

So, the length of each side is x+3.

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