Considering that the points are part of the same linear function, the missing x-value is given by:
a. 1.1.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Given two points, the slope is given by <u>change in y divided by change in x</u>. In this problem, we are given points (6, 10.2) and (1.5, 3.45), hence the slope is:
m = (10.2 - 3.45)/(6 - 1.5) = 1.5.
Hence:
y = 1.5x + b.
When x = 6, y = 10.2, hence we use it to find b as follows:
10.2 = 1.5(6) + b
9 + b = 10.2
b = 1.2.
Hence the function is:
y = 1.5x + 1.2.
The value of x when y = 2.85 is given by:
y = 1.5x + 1.2.
2.85 = 1.5x + 1.2.
1.5x = 1.65.
x = 1.65/1.5
x = 1.1.
Hence option A is correct.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
24. x = 8.
25. x = -9, 10.
Step-by-step explanation:
The zeros of the functions are the solutions to the equation when y=0. To find the solution, factor each equation.
24. Look for two factors that multiply to 64 and add to -16. The factors are -8 and -8. Write them in binomial forms.
(x-8)(x-8)
So x = 8.
25. Look for two factors that multiply to -90 and add to -1. The factors are 9 and -10. Write them in binomial forms.
(x+9)(x-10)
So x = -9, 10.
So what is the question? I don’t Get what you have to do
