Solve the equation, justify
each step with an algebraic
property.
10 + 8x = -78

Answer:

The degree of the given polynomial is 5

Step-by-step explanation:

The degree of a polynomial is the highest of the degrees of its monomials with non-zero coefficients.

The degree of a monomial is the sum of the exponents of the variables that appear in it.

We have the following polynomial:

[tex]3x^2y + 4xy + 1 - 5x^4y - 6y[/tex]

Degree of the first monomial: 2+1=3

Degree of the next monomial: 1+1=2

Degree of the next monomial: 0

Degree of the next monomial: 4+1=5

Degree of the next monomial: 1

Thus, the degree of the given polynomial is 5

Answer:

I think the answer is B

Step-by-step explanation:

The inequality that represents "all real number's 'x' greater than 2" is [tex]x > 2[/tex] and the inequality that represents "6 more than a number 'k' is less than or equal to 12" is [tex]6 + k \leq 12[/tex].

a)

Given :

All real number's 'x' greater than 2

So, the inequality that represents the given verbal expression is given below:

[tex]x > 2[/tex]

where 'x' is the real number.

b)

Given :

6 more than a number 'k' is less than or equal to 12.

So, the inequality that represents the given verbal expression is given below:

[tex]6 + k \leq 12[/tex]

where 'k' is the given number.

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The correct answer is 3.6 because you only divide 18 by 5 and you'll get your answer.

The decimal equivalent of 18/5 is 3.6.

To convert a fraction to a decimal, you divide the top number by the bottom number. In this situation, you take the number 18 and divide it by the number 5.

When you divide, you get 3 as your answer and you have 3 left over. So, the decimal equivalent is 3. 6

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Answer:

interesting

Step-by-step explanation:

Answer:

thx!

Step-by-step explanation:

Answer:

rotation

Step-by-step explanation:

tis is a rotation around line x=y

Answer:

which principle prevents a brach from abusing  its power

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

16/20=0.8 therefore she received an eighty percent.

Answer:

Step-by-step explanation:

Hey :)

Keep in mind:

y = mx + b

Where m = slope and b = y-intercept

Since we are told:

y = 9x - 3

This means m = 9 and b = -3

Therefore the slope is 9 and y-intercept is at (0,-3)

Answer:

prove that it doesn't even exist lol

Answer: The answer is Always any number that can be made into a fraction or decimal is a rational number.

Step-by-step explanation:

Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. ... So, any terminating decimal is a rational number.

Answer:

20

Step-by-step explanation:

[tex]GCD(80,100)\\\\\longrightarrow 80=2^4\cdot5\\\\\longrightarrow 100=2^2\cdot5^2\\\\[/tex]

so for two is

[tex]2^2[/tex]

and for 5 is

[tex]5[/tex]

so we multiply both

[tex]\longrightarrow 2^2\cdot5 \\\\=4*5\\\\=20[/tex]

we can use the euclidean algoritm as follows

[tex]100=80(1)+20\\\\80=20(4)\:\:\:\:\:\:\:\:\uparrow gcd[/tex]

What is the full question? This is just a statement.

Answer:

100% Sure its b

Step-by-step explanation:

Answer:

B.)y = 1.50x + .75

Step-by-step explanation:

Step-by-step explanation:

Given line equation : 3y+2x=12

3y=−2x+12

y=(−2x+12)/3

y=-2x/3+4

m=-2/3

perpendicular -1/m=3/2

y=mx+c

y=3/2x+12

2y=3x+12

Answer:

3/9

1 x 3

1 x 9

Step-by-step explanation:

[tex]x + 21 = 5[/tex]

[tex]x = 5 - 21[/tex]

[tex]\color{hotpink}x = ( - 16)[/tex]

Let us check whether or not we have found out the correct value of x , by placing -16 in the place of x :-

[tex] - 16 + 21 = 5[/tex]

[tex] 5=5[/tex]

[tex]\color{hotpink}LHS = RHS [/tex]

As the left hand side of the equation is equivalent to the right hand side of the equation, we can conclude that we have found out the correct value of x .

Therefore , the value of :-

[tex]\color{hotpink}x \color{olive}=\color{hotpink} ( - 16)[/tex]

According to the graph, the number of barrels that the two machines would have filled at about the same time is; Option B; 50 Barrels

We are told that;

- Two machines fill water barrels

- One machine had filled 30 barrels before the faster machine started

- At a certain tile, they would have filled a number of water barrels at about the same time.

Now, from the graph, we see that;

The red line indicates the slower machine while the blue line indicates the faster machine.

From the graph, the number of barrels at intersection point is 50 barrels.

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Answer:

A. $2.87

Step-by-step explanation:

Answer:

21 quarters and 21 dimes

Step-by-step explanation:

21 quarters = 5 dollars and 25 cents

21 dimes = 2 dollars and 10 cents

add together and you get the total

21 quarters and 21 dimes

Answer:

The second option

Step-by-step explanation:

Answer:

power

Step-by-step explanation:

The another name for the exponent is power, the correct option is D.

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

Given;

A number is written with a base and an exponent

Now,

n exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself and exponent is also called index or power.

Therefore, the answer will be exponent.

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Answer:

2,875

Step-by-step explanation:

$5000 • 5.75% ( or 0.0575 ) = $2,875

Answer:

35

Step-by-step explanation:

4x=64

divide that: =16

x=16

2(16)+3

35

Answer:

Priya used cm to measure the desk while Noah used inch to measure the desk that is why they found different measurement for same desk.

Answer:Priya used cm to measure the desk while Noah used inch to measure the desk that is why they found different measurement for same desk.

Answer:

c) The ratio of beeswax to coconut butter is 1 to 3.

Step-by-step explanation:

A ratio can be defined as a mathematical expression used for the comparison of two (2) values or quantities.

Basically, a ratio gives the relationship between two values or quantities by comparing them together. It is typically written in the form; x : y

In this scenario, to make a base for a jar of handmade cream, Barbara needs 3 tablespoons of coconut butter for every cup of beeswax. The statement which is true about this scenario is that, the ratio of beeswax to coconut butter is 1 to 3.

Given the following data;

Amount of coconut butter (X) = 3 tsp

Amount of beeswax (Y) = 1 cup

The ratio of beeswax to coconut butter is;

Y : X = 1 : 3

Hence, the ratio of beeswax to coconut butter is 1 to 3.

8^2 gives you 64. 64x + 539x=603.

Step-by-step explanation:

Your answer would be y=603x-3710

Answers

-a. 28m+4/3

-b. 2(7m+1/3 + 7m+1/3)

-c. 7m+1/3 + 7m+1/3 + 7m+1/3 + 7m+1/3

-e. (4) x 7m+1/3