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3 years ago

Two expressions set equal to each other creates an what ?

Mathematics

2 answers:

Ilia_Sergeevich [38]3 years ago

8 0

That is called an equation

Marat540 [252]3 years ago

6 0

An expression is a set of numbers and sign that have no equal sign. When 2 expressions are set equal together, it will be an equation.

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Buying one movie ticket online costs $16.50. Two tickets cost $30.50. Assuming that the relationship is linear, use the drop dow

HACTEHA [7]

Answer:

$C(n)=14n+2.50$

Step-by-step explanation:

Let

n -----> number of tickets

C ----> represent the cost of buy n tickets online

we have the ordered pairs

(1,16.50) and (2,30.50)

Find out the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{C2-C1}{n2-n1}$

substitute the values

$m=\frac{30.50-16.50}{2-1}$

$m=14$

Find the equation of the line in slope intercept form

$C=m(n)+b$

we have

$m=14$

$point(1,16.50)$

substitute

$16.50=14(1)+b$

$b=16.50-14$

$1b=2.50$

substitute

$C(n)=14n+2.50$

The domain of the function is all positive integers (whole numbers) including zero

{0,1,2,3,4,...}

5 0

3 years ago

51 is 17% of what number

Juliette [100K]

Answer is 300
first change the 17% to decimal value, which is 0.17
Put everything in equation: 51=0.17x
then solve for it
51=0.17x
x=51/0.17
x=300
the number is 300

3 0

4 years ago

I need help rn please

nirvana33 [79]

Hello!

$\large\boxed{\text{ slope = -3}}$

Use the slope formula to solve for the slope of the line (m):

$m = \frac{y^{2} -y^{1} }{x^{2} -x^{1} }$

We can plug in the points (0, 4) and (1, 1) to solve:

$m = \frac{1-4}{1-0}= \frac{-3}{1} = -3$

Therefore, the slope of the line is -3.

8 0

3 years ago

Write a rule for each pattern. Then use your rule to find the next two terms in the pattern. The numbers are: 1, 3, 6, 10, 15, 2

Leya [2.2K]

Triangular Number Sequence

This is the Triangular Number Sequence:

1, 3, 6, 10, 15, 21, 28, 36, 45, ...

This sequence comes from a pattern of dots that form a triangle:

By adding another row of dots and counting all the dots we can
find the next number of the sequence.

A Rule

We can make a "Rule" so we can calculate any triangular number.

First, rearrange the dots (and give each pattern a number n), like this:

Then double the number of dots, and form them into a rectangle:

The rectangles are n high and n+1 wideand xn is how many dots in the triangle (the value of the Triangular Number n)

And we get (remembering we doubled the dots):

2xn = n(n+1)xn = n(n+1)/2

Rule: xn = n(n+1)/2

Example: the 5th Triangular Number is

x5 = 5(5+1)/2 = 15

Example: the 60th is

x60 = 60(60+1)/2 = 1830

Wasn't it much easier to use the formula than to add up all those dots?

5 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the points (-4, -2) and (8, 1)? Put your answer in fully reduced form.

Alexxx [7]

Answer:

y=1/4x-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-(-2))/(8-(-4))

m=(1+2)/(8+4)

m=3/12

m=1/4

y-y1=m(x-x1)

y-(-2)=1/4(x-(-4))

y+2=1/4(x+4)

y=1/4x+4/4-2

y=1/4x+1-2

y=1/4x-1

8 0

3 years ago