Answer: D. y = 3x − 1
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
From the graph,
y2 = 2
y1 = - 1
x2 = 1
x1 = 0
Slope,m = (2 - - 1)/(1 - 0) = 3/1 = 3
To determine the intercept, we would substitute x = 1, y = 2 and m= 3 into y = mx + c
y = mx + c. It becomes
2 = 3 × 1 + c = 3 + c
c = 2 - 3 = - 1
The equation becomes
y = 3x - 1
Answer:
a = 2, b = 3.5
Step-by-step explanation:
Expanding 
using Binomial expansion, we have that:
=
We have that the coefficients of the first two terms are 128 and -224.
For the first term:
=> 
=> ![a = \sqrt[7]{128}\\ \\\\a = 2](https://tex.z-dn.net/?f=a%20%3D%20%5Csqrt%5B7%5D%7B128%7D%5C%5C%20%5C%5C%5C%5Ca%20%3D%202)
For the second term:
Therefore, a = 2, b = 3.5
Pears 15-30
Bananas 20-40
Answer:
E
Step-by-step explanation:
\sqrt 6 is an irrational number, as it cannot be written as the ratio of 2 numbers.
It is also a real number, as it does not include the square root of a negative number.
Therefore, E is the correct option.
A^2+b^2= c^2
Plug in the points. the longest side is always c.
95.2^2+ b^2= 168^2.
Square the numbers.
9063.04+ b^2= 28224
Subtract 9063.04 on both sides.
b^2= 19160.96
Find the square root.
b= 138.423119456
Or, b= 138.4 (rounded down)
I hope this helps!
~kaiker
