Answer:
By direct comparison we can see that m =2 (slope) and b =1 (intercept)
Step-by-step explanation:
Assuming the following function:
We want to find the following general equation for a linear model:
On this case we just need to add 2x on both sides of the original equation and we got:
By direct comparison we can see that m =2 and b =1
the value of m on this case represnt the slope and b the intercept.
The slope is defined by the following formula:
And is the interpretation is the rate of change of y respect to x, can be positive or negative. Or the increase/decrease of y when x increase 1 unit.
And the value b=1 represent the y intercept, that means if x=0 then y =1
Answer:
1/2
Step-by-step explanation:
-4y = -2x + 10
y = 1/2x - 2/5
The slope is the number in front of the x, so the slope would be 1/2.
Hello!
Use PEMDAS (order of operations) to solve:
-4 · [3 + (-5)²] ÷ 7
Square -5:
-4 · [3 + 25] ÷ 7
Add the numbers inside of the parenthesis:
-4 · [28] ÷ 7
Multiply -4 and 28:
-112 ÷ 7
Divide:
= -16.
Answer:
22 and 46
Step-by-step explanation:
let
one number is x
another is 2x+2
now 2x+2+x=68
or, 3x+2=68
3x=66
or x=66/3=22
so one number is 22 and another is (22X2+2)=46
Answer:
5x² - 10x - 15 = 0
Step-by-step explanation:
Given that the roots are x = 3 and x = - 1, then the factors are
(x - 3) and (x + 1) and the quadratic is the product of the factors, that is
f(x) = a(x - 3)(x + 1) ← a is a multiplier
Here a = 5, thus
f(x) = 5(x - 3)(x + 1) ← expand factors using FOIL
= 5(x² - 2x - 3) ← distribute parenthesis by 5
= 5x² - 10x - 15
Thus equation is
5x² - 10x - 15 = 0
