The picture attached has the table that repfesents the linear function to find the equation.
Answer:
Explanation:
A<em> linear function</em> is characterized by a constant slope and a unique y-intercept.
Let m be the slope and b the y-intercept of a linear function. Then, s<em>lope-intercept</em> equation has the form:
Using any two pair of points (x,y) from the table you can determine the values of m and b.
The table is:
x 0 1 2 3 4
y -6 4 14 24 34
You know that it is a linear function because for constant increases of the x-values (1 unit in the table) there is a constant increase of the y-values (10 in the table).
The slope, m, is calculated as:
- m = [change in y] / [change in x] = Δy / Δx = [14 - 4] [2 - 1] = 10
As said, you could have used any two points to calculate m,
The y-intercept, b, is the value of the function, y, when x = 0.
- From the table you can observe that when x = 0, the value of y is - 6; so b = - 6.
Thus, the equation of the linear function represented in the table in slope-intercept form is:
⊹˚ʚ ❑Answer︰The slope is 3!
⊹˚ʚ ❑Explanation︰use the formula y2-y1 over x2-x1
✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D
Answer:
Interest = $20
Amount due = $120
Step-by-step explanation:
This is a Simple Interest problem. Simple interest is given as:
I = (P * R * T) / 100
Where I = interest
P = principal or amount loaned
R = rate of interest
T = time elapsed
Ted borrowed $100 from 2 years at a 10% interest rate.
This means that P = $100, R = 10%, T = 2 years.
Hence, the interest will be:
I = (100 * 10 * 2) / 100
I = 2000 / 100
I = $20
The interest after two years will be $20.
Therefore, the total amount due at the end of the loan is:
A = P + I
A = 100 + 20 = $120
The amount due is $120.
So basically you see the numbers next to the triangle you have to times them and if it adds to 63 cubic inches then their you go hope this helped!
The total units of stationery he has would be 55 approximately.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
David keeps a range of stationery in his study.
Let the pencil is represented by x.
Let the erasers be represented by y.
Let the pens be represented by z.
Let n be the stationery.
5/7 of his stationery consists of pencils.
x = 5/7 n
1/6 of the remaining stationery consists of erasers.
y = 1/6 n
There are 20 pens in his study.
z = 20
The total stationery
X + y + z
5/7 n + 1/6 n + 20 = n
20 = n -23/ 36 n
20 = 13 / 36 n
n = 55.38
Therefore, the total units of stationery he has would be 55 approximately.
Learn more about equations here;
brainly.com/question/10413253
#SPJ1