Please help me with this.
Write the expression 8x^2y + 3xy^2 - 2xy - x^2y + 3xy - 5xy^2 in simplest form.
Then, answer the following questions using complete sentences:
a. How many terms are in the simplified expression?
b. How many of the terms in the simplified expression are positive?

Answers

Answer 1

Answer:

[tex]7x^{2} y-2xy^2+xy[/tex]

Three terms.

Two terms are positive.

Step-by-step explanation:

[tex]8x^2y + 3xy^2 - 2xy - x^2y + 3xy - 5xy^2[/tex]

Group like terms

[tex]=8x^{2} y-x^{2} y+3xy^2-5xy^2-2xy+3xy[/tex]

Add similar elements: [tex]8x^{2} y-x^2y=7x^2y[/tex]

[tex]=7x^2y+3xy^2-5xy^2-2xy+3xy[/tex]

Add similar elements: [tex]3xy^2-5xy^2=-2xy^2[/tex]

[tex]=7x^{2} y-2xy^2-2xy+3xy[/tex]

Add similar elements: [tex]-2xy+3xy=xy[/tex]

[tex]=7x^2y-2xy^2+xy[/tex]

[tex]7x^2y[/tex] and [tex]-2xy^2[/tex] and [tex]xy[/tex] are the three different terms.

Only [tex]7x^2y[/tex] and [tex]xy[/tex] are positive terms, thus making two positive terms.


Related Questions

Gabby is an aspiring country artist. She has a record contract that pays her a base rate of $200 a month and an additional $12 for each album sold. Last month she earned a total of $644. Identify the y-intercept in the equation.

Answers

Answer:

From the formula above, you see that your slope would be the $12.

Step-by-step explanation:

So, from this problem the base rate is the y-intercept because it is fixed. The slope of the is the additional fee because it's changing by the number of albums sold. Below is the equation that should have been created using the slope intercept formula.

220 + 12x = 644

You will need the slope intercept form, y = mx + b  

m is the slope

b is the y-intercept

Get it?

Use proportional reasoning to determine the value of a in the proportion shown below. Q+5 unlu
O a = 1
O q = 25
O a = 10
O a = 15​

Answers

Answer:

a=10

Step-by-step explanation:

If you have less than $10.00 in dimes and quarters. Which of the following is a
possible combination of dimes and quarters that satisfy the inequality. *
a. 50 dimes and 20 quarters
b. 20 dimes and 50 quarters
c. 50 dimes and 30 quarters
d. 40 dimes and 20 quarters

Answers

Answer:

D. 40 dimes and 20 quarters

Step-by-step explanation:

40 dimes= $4 because 10 dimes= $1

20 quarters= $5 because 4 quarters= $1

The other options are above $10. I hope this helps!!!! :D

Find the missing side in the right triangle, Round to the nearest tenth.

please help

Answers

Answer:

17.0

Step-by-step explanation:

right angle with angles 45, 45 and 90

SOHCAHTOA

cos 45 = A/H

Cos 45 = 12/r

r= 12/cos 45

r= 16.97

The temperature in Quebec City was 5 degrees Celsius at 4 pm. By midnight, the temperature dropped 15 degrees. A number line has points negative 20, blank, A, B, 0, 5, C, blank, D. Which point is a representation of the colder midnight temperature in degrees Celsius?

Answers

Answer: Point A

Step-by-step explanation:

The temperature at midnight is;

= 5 - 15

= -10°C

Looking at the number line, one can surmise that the scale is in multiples of 5. This means that C is 10, B is -5 and A is -10.

With point A being -10°C, it represents the colder midnight temperature.

Answer:

Point A

Step-by-step explanation:

We know that the temperature dropped 15 degrees, and that it was initially of 5°C. So, by midnight, the temperature will be of -10°C (5-15=-10).

We also know that the distance between points is of 5°C. So, the point that we have to mark is point A, which represents -10°C.

5 ( x + 3 - 5x)
PLZ WHAT IS THIS IN SIMPLEIST FORM WILL GIVE BRAINLIEST

Answers

Answer:

-20x + 15

Step-by-step explanation:

Answer:  -20x + 15

Step-by-step explanation:  

5(x + 3 - 5x)

5(-4x +3)

5(-4x +3)

help me please! i dont get this at all

Answers

Answer:

21/28 = 3/4

Step-by-step explanation:

Most staircases in use today have 9−inch treads and 8 12 −inch risers. What is the slope of a staircase with these measurements? Give your answer as a fraction or rounded to four decimal places, if necessary

Answers

Answer:

The value is  [tex]m = 0.9022[/tex]

Step-by-step explanation:

From the question we are told that

    The length of the treads is  [tex]a = 9 \ inch[/tex]

     The length of the risers is  [tex]b = 8.12 \ inch[/tex]

Generally the slope of the staircase is

         [tex]m = \frac{b}{a}[/tex]

=>       [tex]m = \frac{8.12}{9}[/tex]

=>       [tex]m = 0.9022[/tex]

How can you determine the sale price if you are given the regular price and the percent of markdown? (List the steps)

Answers

Answer:

The sale price is $34

Step-by-step explanation:

If we are given the regular price P and the markdown percentage r, we follow these steps:

1) Calculate the markdown or discount amount M.

M = P*r/100

2) Subtract it from the regular price:

S = P - M

S is the sale price.

Example: The regular price is $40 and the markdown percentage is 15%. Thus:

1) M = $40*15/100 = $6

2) S = $40 - $6 = $34

The sale price is $34

how to solve -2(v-2)=-3-2v i need it step by step

Answers

Answer:O0

Step-by-step explanation:

2*(v-2)-(-3-2*v)=0

STEP

1

:

Equation at the end of step 1

(0 - 2 • (v - 2)) - (-2v - 3) = 0

STEP

2

:

Equation at the end of step 2

7 = 0

STEP

3

:

Equations which are never true:

3.1 Solve : 7 = 0

Answer:

No solution

Step-by-step explanation:

Given: -2(v-2)=-3-2v

Distribute -2 at the left side of the equal sign:

-2v+4=-3-2v

Put all like terms in one side:

-2v+2v=-3-4

Combine all like terms:

0=-12

Answer: No solution

find x (btw if you answer this randomly just to get the point I'm reporting ur acc​

Answers

Answer:

3.5 times 2 equals 7 so try 2.5 times 2 which would be 5, 5 could be the answer but im not sure :)

Mary said, "Four times my age reduced by thirty is six. How old am I?

Answers

Answer:

9

Step-by-step explanation:

I said so

one number is two more than triple a second number. Their sum is 30. what is the smaller number

Answers

Answer:

7

Step-by-step explanation:

We can solve this problem by making an equation.

Let x represent the second number

3x + 2 will be the first number because it is 2 more than triple x

This makes our equation:

3x + 2 + x = 30

Combine like terms

4x + 2 = 30

Subtract 2 from both sides

4x = 28

Divide both sides by 4

x = 7

The smaller number aka the second number is 7

5x - 7 = 4
can u pleas e solve

Answers

Answer:

[tex]\frac{11}{5}[/tex]

Step-by-step explanation:

1. isolate x by adding 7 to the other side (7+4)

5x - 7 = 4

5x = 11

2. divide by 5 to get x alone

x = 11/5

Answer:

Step-by-step explanation:

5x - 7 = 4

5x=4+7

5x=11

x=11/5

x=2.2

A book is marked down by 28 percent from an original price of $19.50. What is the new price?

Answers

Step-by-step explanation:

First find 28% of $19.50:

($19.50) / (100) × (28) = $5.46

Now minus the 285 from the original price:

($19.50) - ($5.46) = $14.04

The answer is $14.04

Hope it helped :)

Hi the new price is $14.04

The price of a printer increased by 8% to $777.60. Find the usual price of the printer.

Answers

I learned this in 7th grade I can’t remember what to do

answer asap please!!

Answers

Answer: B

Step-by-step explanation:

The lines outside the number on the left represent absolute value, meaning it doesnt matter if it is negative you just count it as positive. Since the number on the left is greater than the number on the right, the answer is B

A consistent and dependent system of linear equations has how many solutions?​

Answers

Answer/Step-by-step explanation:

If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.

Please help with these two questions. ​

Answers

Answer/Step-by-step explanation:

✔️<1 can be named in two ways using letters, with the middle letter being the letter of the vertex of the angle. Thus is can be named as:

[tex] \angle ADB [/tex] or as [tex] \angle BDA [/tex]

✔️It is unclear to name <1 as <D because <2 can equally be named as <2 since both angles share a common point or vertex D.

£50 is divided between Krutika, Natasha & Richard so that Krutika gets twice as much as Natasha, and Natasha gets three times as much as Richard. How much does Krutika get?

Answers

Answer:

£30

Step-by-step explanation:

→ Model the situation in terms of x

Richard = x, Natasha = 3x and Krutika = 6x

→ Now put the values into ratio form

6x : 3x : x = 50

→ Collect the x terms

10x = 50

→ Divide both sides by 10 to isolate

x = 5

→ Substitute x = 5 into Krutika

6 × 5 = 30

Answer:

£30

Step-by-step explanation:

Let's break down the information given to help us find how much Krutika gets.

"Natasha gets three times as much as Richard" - We can express the value that Natasha gets as [tex]3r[/tex] in terms of what Richard gets.

"Krutika gets twice as much as Natasha" - We can express this as [tex]2(3r)[/tex] which equals [tex]6r[/tex].

We know that the total money is £50, so we can write the equation:

[tex]r+3r+6r=50[/tex]

[tex]10r = 50[/tex]

[tex]r=5[/tex]

∴ Richard gets £5.

Since the money Krutika gets can be expressed as [tex]6r[/tex]:

[tex]6(5) = 30[/tex]

∴ Krutika gets £30.

Hope this helps :)

Answer the following question and will mark Brainliest

Answers

Answer:

[0, ∞)

Step-by-step explanation:

The domain is the x values in a function. As you can see from the graph, the function touches zero (touching meaning the value zero is bracketed) and goes to infinity (infinity is parenthesis).

If a value is included it is bracketed. If it is not included it is used with parenthesis (infinity cannot be reached to it is used with parenthesis).

(0,&) is the right answer

graph the line that passes through( -1,5)perpendicular to a line whose slope is -1/6

Answers

Answer:

y - 5 = 6(x+1)

Step-by-step explanation:

if it is perpendicular to a line whose slope is -1/6, the slope of this line is the negative reciprocal which is 6.

y - 5 = 6(x+1)

this is point slope form btw

Work out 4/5 - 1/5 9/11 + 5/11 3/4+ 1/8

Answers

Decimal: 1.17865691489

Fraction: 97/88

Mixed Fraction: 1 9/88

I hope this helps you

Have an awesome weekend :)

Please help ASAPPPP !!!! Pleaseeeeeeee

Answers

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

so in first picture

1 is exterior angle of the triangle

it means that

1=2+3

so is evident that m 1 > m 2

in the second picture

1 is the exterior angle of the triangle

so

1=3+4

but 3=2 as alternate interior angles

definition:The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

so is evident that m 1 > m 2

Answer:

see explanation

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(1)

∠ 1 is an exterior angle of the triangle, then

∠ 1 = ∠ 2 + ∠ 3

Thus ∠ 1 must be > ∠ 2

(2)

∠ 3 = ∠ 2 ( alternate angles )

∠ 1 is an exterior angle of the triangle, then

∠ 1 = ∠ 3 + ∠ 4 = ∠ 2 + ∠ 4

Thus ∠ 1 > ∠ 2

HELP 17 POINTS Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. What value of p makes the equation true?​

Answers

Answer:

0.125

Step-by-step explanation:

First, remove the 1/8 by subtracting 1/8 on both sides

-3p = -3/8

Then, isolate the variable by diving each side by -3

p = 0.125

Answer:

0.125

Step-by-step explanation:

did the test and got it right!!

plzplPzlpzlzpzl .......i beg u do this easy question for me ....​

Answers

Answer:  [tex]-p^2-(q+r)^2[/tex]

Work Shown:

I'm assuming your teacher wants you to factor as much as possible.

[tex]-p^2-q^2-r^2-2qr\\\\-p^2-q^2-2qr-r^2\\\\-p^2-(q^2+2qr+r^2)\\\\-p^2-(q+r)^2\\\\[/tex]

In the last step, I used the rule that [tex](a+b)^2 = a^2+2ab+b^2[/tex]

We cannot factor any further. If the first term was [tex]p^2[/tex] instead of [tex]-p^2[/tex], then we could use the difference of squares factoring rule.

can someone please help :c <3

Answers

it’s D, i solved it

Answer:

Step-by-step explanation:

How many terms are in

Answers

Answer:

4

Step-by-step explanation:

Question is below.
Math

Answers

Answer:

B

Step-by-step explanation:

2x+3y=12

3y=12-2x

y=-2/3x+4

B

Hope this helps plz hit the crown :D

The answer is b step by step

convert the decimal number to the base stated

113 to base 6

Answers

Answer:

the answer is 341(I think)

113 = 3 • 36 + 5

(That is, 36 = 6² is the largest power of 6 that fits into 113. The next power 6³ = 216 exceeds 113.) Then

113₁₀ = 3 • 6² + 5 • 6⁰ = 305₆

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