Answer:
y=0.5x+8
Step-by-step explanation:
Use the formula for the equation of a line y=mx+c where m is the slope and c is a number.
To find the slope, take two points (x₁,y₁) (x₂,y₂) and put them into the slope equation m=(y₂-y₁)/(x₂-x₁):
We can take two points from the graph: (2,9) (4,10)
m=(y₂-y₁)/(x₂-x₁)
m=(10-9)/(4-2)
m=1/2 or 0.5
Now sub this value in for m and our formula looks like this:
y=0.5x+c
To find the value of c, sub in one of the points, eg. (4,10)
y=0.5x+c
10=0.5(4)+c
10=2+c
c=8
So now that we now m and c, our equation is complete :D
y=0.5x+8
Answer:
y = x + 2
Step-by-step explanation:
Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. Here, b is equal to 2 because the line crosses the y-axis at 2. THe slope is rise over run, or the change in y divided by the change in x. From the two points given, we get 3/3 which is equal to 1. 1x equals x, so this gives us "no slope." Putting it together gives us y = x + 2.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
First question:
I urge you to perform the division using the synthetic division method:
________________
-4 / 1 3 -6 -6 8
-4 4 8 -8
-----------------------
1 -1 -2 2 0
Note that there is no remainder. When this is the case, the divisor (here, that's -4) is a root of the given polynomial, and the value of that polynomial, g(-4), is 0.
If the remainder were not 0, then the remainder represents the value of the polynomial for that particular divisor. For example, if x = -3, the remainder is -28. We'd write that as g(-3) = -28.
But here, g(-4) = 0.
Answer:
Hence, the capacity of the tank when full is 120 cubic m.
Step-by-step explanation:
The measures of water tank is 8m x 5m x 3m.
The capacity of the tank when full is nothing but the capacity of the full tank which is the multiples of given dimensions.
The capacity of the tank when full is,
8m x 5m x 3m = 40 m^2 x 3m
= 120 m^3.
Hence, the capacity of the tank when full is 120 cubic m.
STEP
1
:
Equation at the end of step 1
((3 • (x3)) - (32•5x2)) + 150 = 0
STEP
2
:
Equation at the end of step
2
:
(3x3 - (32•5x2)) + 150 = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
3x3 - 45x2 + 150 = 3 • (x3 - 15x2 + 50)
Polynomial Roots Calculator :
4.2 Find roots (zeroes) of : F(x) = x3 - 15x2 + 50
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is 50.
The factor(s) are:
