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IceJOKER [234]
3 years ago
12

Write an equation in slope-intercept form.

Mathematics
1 answer:
podryga [215]3 years ago
8 0

Given:

The table of values.

To find:

The equation in slope intercept form.

Solution:

From the given table it is clear that the line passes through the points (5,17), (8,41) and (12,73).

Consider any two points from the table, i.e., (5,17) and (8,41). So, the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-17=\dfrac{41-17}{8-5}(x-5)

y-17=\dfrac{24}{3}(x-5)

y-17=8(x-5)

y=8x-40+17

y=8x-23

Therefore, the equation of line in slope intercept form is y=8x-23.

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Zarrin [17]
<span>First thing you'll need to know is that the value for this equation is actually an approximation 'and' it is imaginary, so, one method is via brute force method.

You let f(y) equals to that equation, then, find the values for f(y) using values from y=-5 to 5, you just substitute the values in you'll get -393,-296,-225,... till when y=3 is f(y)=-9; y=4 is f(y)=48, so there is a change in </span><span>signs when 'y' went from y=3 to y=4, the answer is between 3 and 4, you can work out a little bit deeper using 3.1, 3.2... You get the point. The value is close to 3.1818...

The other method is using Newton's method, it is similar to this but with a twist because it involves differentiation, so </span>y_{n+1}=y_n-\frac{f(y)}{f'(y)}<span> where 'n' is the number you approximate, like n=0,1,2... etc. f(y) would the equation, and f'(y) is the derivative of f(y), now what you'll need to do is substitute the 'n' values into 'y' to find the approximation.</span>
7 0
3 years ago
If $7,000 is placed in an account with an annual interest rate of 5.5%, how long will it take the amount to triple if the intere
butalik [34]
A= P(1 + r/n) ^nt
21000=7000(1+0.055/2)^1t

t = 20.52 years

4 0
3 years ago
PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!!
Svetach [21]

Answer:

a. 10x + 4; the answer is a polynomial

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of the 4 sides.

The closure property is that if you add polynomials, the sum is a polynomial.

A rectangle has two congruent lengths and two congruent widths.

Since the length of the rectangle is 3x + 5, there is another length of 3x + 5. The width is 2x - 3, so there is a second width of also 2x - 3.

Let's add the 4 sides together:

3x + 5 + 3x + 5 + 2x - 3 + 2x - 3 =

= 3x + 3x + 2x + 2x + 5 + 5 - 3 - 3

= 10x + 4

The perimeter is 10x + 4. Each side length is a polynomial, and the sum of the all the side length is also a polynomial. This shows there is closure for the addition of polynomials.

Answer: a. 10x + 4; the answer is a polynomial

3 0
3 years ago
Read 2 more answers
Which two expressions will find the total volume of the figure below?
IRINA_888 [86]
The volume of the prism:
V = L x W x H,
where L is the length, W the width and H the height.
We can find the volume of the entire figure by adding together the volumes of two smaller figures ( 2 prisms ).
The 1st one has dimensions: 2, 2, 7 and the 2nd has dimensions 2, 3, 8.
Answer:
B . ( 2 x 2 x 7 ) + ( 2 x 3 x 8 )
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3 years ago
Your bill for a cell phone plan is based on a $30 charge for service and a $15 charge for every gigabyte of data you use.
mote1985 [20]

Answer:

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7 0
3 years ago
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