Y = mx + b, where m is the slope, and b is the y-intercept. If we were to consider a line of best fit that would represent all these points with a linear line, it'd cross the y-axis with a y-value of 10, so we can fill in y = mx + b to y = mx + 10. Now, it runs down from left to right, so we know the slope must be negative. The only equation that fits this description is y= -3/4x + 10
Answer:
A) {x | -1 < x < 7}
Step-by-step explanation:
Given in the question two inequalities,
Inequality 1
(x - 2 < 5)
x < 5 + 2
x < 7
x is smaller than 7
Inequality 2
(x + 7 > 6)
x > 6 - 7
x > -1
x is greater then -1
When (x - 2 < 5) U (x + 7 > 6).
(x < 7) U (x > -1)
-1 < x < 7
When combined, x is greater than -1 but smaller than 7
<span>a. y = x^2 – 81 is a quadratic function.
According to the definition:
A quadratic function is defined as a function with the maximum coefficient of 2.Only first option has a coefficient of 2 and the rest have not.</span>
Answer:
Step-by-step explanation:
First find the slope:
Use the point-slope form of linear equation: 
(where m is the slope and (x₁, y₁) is a point on the line)
with the found slope and one of the points:
