which of the following shows 3x+15+6x-7+y in simplest terms?
A) 18x + 8y
B) 9x + 22 + y
C) 9x + y + 8
D) 26xy

Answer:

The distributive property states that  

a*(b + c) = a*b + a*c  

You can use the distributive property in reverse to factor out a common factor from the sum of 2 numbers.  If you realize that 12 = 4*3 and 20 = 4*5 then you can write  

12 + 20 = 4*3 + 4*5 = 4*(3 + 5)

Answer:

3

Step-by-step explanation:

f(x) = 2x^2 + 1

f(-1) means that wherever you see an x on the right hand side, you substitute -1.

f(-1) = 2(-1)^2 + 1 = 2 + 1 = 3

Answer:

a) The smallest possible number of sides of the polygon is a regular polygon with 5 sides

b) The largest possible number of sides of the polygon is a regular polygon with 9 sides

Step-by-step explanation:

a) The smallest exterior angle of the polygon = 40°

The largest exterior angle of the polygon = 80°

Therefore, we have the interior angles are;

The smallest interior angle of the polygon = 180° - 40° = 140°

The largest interior angle of the polygon = 180° - 80° = 100°

Therefore, we have

The interior angles of a regular polygon are given by the following formula;

[tex]Interior \ angle =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]

For an interior angle of 100°, we have;

[tex]100^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]

100/180 × n = n - 2

2 = n - 100/180 × n = 4/9·n

2 = 4/9·n

n = 18/4 = 4.5

Therefore, given that a square has an interior angle of 90° we have the smallest possible number of sides polygon = 5 sides

b) For 140°, we have;

[tex]140^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]

140/180 × n = n - 2

2 = n - 140/180 × n = 2/9·n

2 = 2/9·n

n = 18/2 = 9

n = 9 sides

Therefore, the largest possible number of sides = 9 Sides.

Answer:

(33/5 , -3/10)

Step-by-step explanation:

Answer:

22.5% Hope this helps

Step-by-step explanation:

Answer:

22.5%

Step-by-step explanation:

Answer: -5

Step-by-step explanation:

Answer:

-5 is the correct answer

Answer:

y - 3 = 5(x - 2)

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

Answer:

25+d(0.50)

Step-by-step explanation:

It costs 25 dollars to rent a vehical but its 50 cents per each mile.

Step-by-step explanation:

Step one:

we are given the equation for Addy And Rachel's earning as

[tex]D =0.45p[/tex]-------------1

Step two:

Context creation

Say john earns $0.9  per paper he delivers, estimate how much he would earn to deliver 10 papers

let the amount earn be y and the number of papers delivered be x

the equation is

y=0.9x

for x=10

y=0.9(10)

y=$9

We can see that John's unit rate is more than Addy's unit rate

Answer:

24 degrees

Step-by-step explanation:

24 is 1/2 of 48

Answer:

answer is C

Step-by-step explanation:

because they make linear

Answer:

Possible values of x are whole numbers that are lesser than 15 inches

Step-by-step explanation:

We are given;

Base; b = 15 inches

Height; h = 10 inches

Formula for area of triangle is;

A_tria = ½bh

A_tria = ½ × 15 × 10

A_tria = 75 Sq.in

Now, formula for trapezoid is;

A_trapez = ½(a + b)h

Where a is the side parallel to the base.

We are told that the area of the trapezoid is less than twice the area of the triangle.

Thus;

½(a + 15)10 < 2(75)

Simplifying;

5(a + 15) < 150

Divide both sides by 5 to get;

a + 15 < 150/5

a + 15 < 30

Subtract 15 from both sides to get;

a < 30 - 15

a < 15

Possible values of x are whole numbers that are lesser than 15 inches

Answer:

Sorry this does not make sense

Have a good thanksgiving

Answer:

B. [tex]y = \frac{2}{3} x + 5[/tex]

Step-by-step explanation:

Let's use the slope equation first. The slope equation is as follows:

[tex]\frac{y2-y1}{x2-x1} = slope[/tex]

This is what is given in the equation:

Let's label each component of the equation using these points:

y2 = 9

y1 = 7

x2 = 6

x1 = 3

Now, plug these into the equation

[tex]\frac{9-7}{6-3} = \frac{2}{3}[/tex]

We can now eliminate A and C of the answer choices.

Now let's find the y intercept

Right now we have the following equation

[tex]y = \frac{2}{3} x+ (y intercept)[/tex]

In order to find the y intercept we need to plug in one of the given points into the equation. Let's use point (3,7).

The equation should look like this now:

[tex]7 = \frac{2}{3}(3) + (yintercept)[/tex]

Now lets solve for the y-intercept

[tex]7 = \frac{2}{3}(3) + (yintercept)\\7 = \frac{6}{3} + (yintercept)\\7 = 2 + (yintercept) \\5 = yintercept[/tex]

Now that we found the y-intercept is 5 we have our full equation!

[tex]y = \frac{2}{3} x + 5[/tex]

Hope this helps!!

- Kay

Answer:

18

Step-by-step explanation:

Answer:

6x > 5x + 1

Step-by-step explanation:

6 times a number is 6x

is greater than is 6x >

than five time the number is 5x

plus one is 5x +1

all together it is 6x > 5x + 1

Answer: just to give person above brainliest.

Step-by-step explanation:

Answer:

C 72

Step-by-step explanation:

complementary meaning they add up to 90 degrees, so 90-18=72

Answer:

72 Degrees

Step-by-step explanation:

Complementary are angles that add up to 90 degrees. So 90 - 18.

Answer:

Step-by-step explanation:

1. Distribute

3x + 3 = -2x + 2 - 4

2. Simplify

-2x + 2 - 4

2-4 = -2

-2x - 2

3. Solve

3x + 3 = -2x - 2

+2x       +2x

4. Cont. Solving

5x + 3 = -2

     -3     -3

5x = -5

5. Divide by 5

5x = -5

/5      /5

Hope this helped,

Kavitha Banarjee

Answer and explanation:

Inductive reasoning is a method of reasoning whereby conclusion of an argument is based on specific observations or evidence that forms the premise of the argument. Inductive reasoning moves from observations to general conclusion unlike deductive reasoning.

B. The conjecture 0-3+5 -0 is incorrect

Given the above sequence of computations, we use inductive reasoning to predict the next computation

The correct next conjecture is

99999.3+5= 300002

Answer:

3 Tell me if this help you

Answer:

angle 1 = angle 2 = 17 degrees

Answer:

Step-by-step explanation:

❗️URGENT NEED ASAP❗️

Given functions,

f(x) = -5x – 14 g(x) = -02 + 9x - 1

find f(9) + g(-2)

Answer:

Functions! Nice.

Step-by-step explanation:

This is a pretty simple concept.

What it wants you to do is to input those values inside the parentheses(9 or -2) into those equations for x. Then, you will have to add those values that you get.

If you didn't understand, watch and learn!

[tex]for x=9\\f(9)=-5(9)-14\\f(9)=-59\\[/tex]

Now try to do that for the second equation, but this time, have x as -2.

(I also can't solve the last one because I can't make sense of the equation. What is 02?)

Stay Safe!

P.S. When you find the answer to that second one, just add it to the first answer, and you'll get the final answer.

Answer:

Step-by-step explanation:

8 litres of petrol cover's =60km

For 1km petrol required=8/60 litre

For 50 km petrol required=8x50/60 litre

=6.66 litre is the answer

Answer: The team would have made 172 dollars after the suplies came out.

It would be c.

Step-by-step explanation: You would subtract 64 from 236, and get 172 dollars.

Answer:

594.78

Step-by-step explanation:

600-5.22 = 594.78

Answer:The answer should be 626.4

Step-by-step explanation: