Answer:
y = 2x+1
Step-by-step explanation:
From the question,
Using the equation of a straight line
y = mx+c................. Equation 1
Where m = slope of the line, c = intercept on the y axis.
From the graph, The two point co-ordinate shown os
Point 1 = (-2,0)
Point 2 =(6,4)
s = (y₂-y₁)/(x₂-x₁).............. Equation 2
Where y₂ = 6, y₁ = -2, x₂ = 4, x₁ = 0
Substitute into equation 2
s = (6-(-2))/(4-0)
s = (6+2)/4
s = 8/4
s = 2.
Also from the graph,
c = 1
Substitute these values into equation 1
y = 2x+1
Hence the equation of the line is y = 2x+1
Answer:
B.2 1/41
Step-by-step explanation:
In a perfect square trinomial of the form ax+bx+c where a, b and c are constants, the value of (b/2)²=ac
In the provided equation the value of a=1, b=-3 c=?
Therefore, (-3/2)²=c since a-the coefficient of x²=1 and 1×c=c
c=2.25= 2 1/4
Thus the trinomial x² - 3x + 2 1/4 is a perfect square.
So basically are doing keep change flip of ((x^2)/(x-1))/((3x^2)/(x+4))
keep ((x^2)/(x-1)) change the division symbol (/) to a multiplication symbol (*) and flip the denominator ((3x^2)/(x+4)) to ((x+4)/(3x^2))
now we are multiplying ((x^2)/(x-1)) by ((x+4)/(3x^2)).
((x^2)/(x-1))*((x+4)/(3x^2))
multiply the numerators and then multiply the denominators to get
((x^3)+(4x^2))/((3x^3)-(3x^2))
let's now extract x^2 from the numerator and 3x^2 from the denominator to get ((x^2)(x+4))/((3x^2)(x-1)
now we can simplify it down to (x/3)((x+4)/(x-1))
Answer:
0.25
Step-by-step explanation:
Since, in the question , it is not mentioned that two balls of any specific colour,
the probability of getting two balls is: ![\frac{2}{8}\\= \frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B8%7D%5C%5C%3D%20%5Cfrac%7B1%7D%7B4%7D)
The total distance of the car is 227.5 miles