Answer:
<h2>C.</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - slope
b - y-intercept → (0, b)
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
From the graph we have the points (0, -2) and (6, 7).
(0, -2) → b = -2
Calculate the slope:
![m=\dfrac{7-(-2)}{6-0}=\dfrac{9}{6}=\dfrac{9:3}{6:3}=\dfrac{3}{2}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B7-%28-2%29%7D%7B6-0%7D%3D%5Cdfrac%7B9%7D%7B6%7D%3D%5Cdfrac%7B9%3A3%7D%7B6%3A3%7D%3D%5Cdfrac%7B3%7D%7B2%7D)
Put the value of b and m to the equation of the line in the slope-intercept form:
![y=\dfrac{3}{2}x-2](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B3%7D%7B2%7Dx-2)
=====================================
<, > - dotted line
≤, ≥ - solid line
<, ≤ - shaded region below the line
>, ≥ - shaded region above the line
======================================
We have the soli line (≤ or ≥).
Shaded region is above the line (> or ≥)
Therefore we have the answer: ![y\geq\dfrac{3}{2}x-2](https://tex.z-dn.net/?f=y%5Cgeq%5Cdfrac%7B3%7D%7B2%7Dx-2)
Convert to the standard form: ![Ax+By=C](https://tex.z-dn.net/?f=Ax%2BBy%3DC)
<em>multiply both sides by 2</em>
<em>subtract 3x from both sides</em>
<em>change the signs</em>
![3x-2yleq4](https://tex.z-dn.net/?f=3x-2yleq4)
The answer is 500 cuz 500*.29= 145 and 500 -145=355
Always read the question very carefully as it contains a lot of vital information's. Based on those information's the answer to the question can be easily deduced.
Total number of questions given in a Chinese test = 40
Percentage of questions incorrectly answered by Kara = 10%
Then
Number of questions incorrectly answered by Kara = (10/100) * 40
= 4
Then
The total number of questions correctly answered by Kara = 40 - 4
= 36
From the above deduction we can clearly see that Kara answered 36 questions correctly among the total of 40 Chinese questions that were given.
We are given with two numerics in a mixed fraction form and is asked for the difference between the two. in this case, we subtract first the whole numbers: 25-22 equal to 3. Then convert the two fractions to similar fractions. the difference is 1/8. Hence the answer is 3 1/8
Answer:69
Step-by-step explanation: