By observing the graph we can note down the following things about the boundary line:
- It has a positive slope.
- It cuts the X-axis at
- It cuts the Y-axis at $(0,-x)$, where $|x|$ is some value less than 2 but greater than 1.
Let's look at the shaded region. The origin lies inside it.
Thus, the point $(0,0)$ satisfies the equation of the region.
Upon putting it in the options, we find that only two options: 2 and 4 satisfy the inequality $0<5$
Now find the Y-intercept of the boundary line:
Option 4) $0-2y=5$
$y=\frac{-5}{2}<-2$
Since it is smaller than -2, it is the wrong option.
Hence, correct option is $\boxed{x-3y<5}$
Answer:
75% of the votes were in favor.
Step-by-step explanation:
To find the percent(rate), we use the formula r=p/b
The question is "What percent(rate) of 56 is 42?"
So fill in the formula and it will show as r=42/56, which is the rate will be equal to 42 divided by 56.
Perform the calculations and the result will show 0.75
Convert the decimal to a percent by moving the decimal point two places to the right and you will have 75% as your answer.
Penny reads 14 pages in 1/3 hour.
In order for us to know the rate of penny, the number of hours per page, we need to do ratio and proportion.
14 : 1/3 = X : 1
1/3X = 14
X = 42
So there are 42 pages Penny can read in 1 hour.
Answer:
x = 10
Step-by-step explanation:
→ In an equation our aim is to isolate 'x' and find the value and so the first step is to square both sides to get rid of the square root
x² - 36 = 64
→ Add 36 to both sides to isolate x²
x² = 100
→ Square root both sides to isolate x
x = 10
Answer:
Angle 6 is 47°
Step-by-step explanation:
