Take a look at the function
![y+2=- \frac{2}{3}x+4](https://tex.z-dn.net/?f=y%2B2%3D-%20%5Cfrac%7B2%7D%7B3%7Dx%2B4%20)
. You can simplify it to
![y=- \frac{2}{3}x+2](https://tex.z-dn.net/?f=y%3D-%20%5Cfrac%7B2%7D%7B3%7Dx%2B2%20)
. If x=0, then y=2 and when y=0, x=3. You obtain two points (0,2) and (3,0) that lie on the line
![y+2=- \frac{2}{3}x+4](https://tex.z-dn.net/?f=y%2B2%3D-%20%5Cfrac%7B2%7D%7B3%7Dx%2B4%20)
.
Since
![y+2\le - \frac{2}{3}x+4](https://tex.z-dn.net/?f=y%2B2%5Cle%20-%20%5Cfrac%7B2%7D%7B3%7Dx%2B4%20)
, the line
![y+2=- \frac{2}{3}x+4](https://tex.z-dn.net/?f=y%2B2%3D-%20%5Cfrac%7B2%7D%7B3%7Dx%2B4%20)
should belong to the shaded area.
Now take point (0,0). Since
![0+2\le- \frac{2}{3}\cdot 0+4](https://tex.z-dn.net/?f=0%2B2%5Cle-%20%5Cfrac%7B2%7D%7B3%7D%5Ccdot%200%2B4%20)
, you can conclude that point (0,0) belongs to the shaded area.Using all these thoughts, you can make a conclusion that the correct choice is B.
Answer:
x = 98
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
x = 53+45
X = 98
Answer:
The constant of proportionality is 2.50
Step-by-step explanation:
For a weight of 1 lb, the price is $2.50, so the price in dollars is related to the weight in pounds by the constant 2.50.
The constant of proportionality is 2.50 (dollars per pound).
Let the original number be ‘x’
Then half of that number= 1/2x or simply x/2
Similarly one fifth of that number = x/5
According to the question
x+x/2+x/5=51
Taking LCM
10x/10+2x/10+5x/10=51
Multiplying 10 throughout
10x+2x+5x=510
17x=510
x=510/17
Therefore x=30
Answer:
The answer is D
Step-by-step explanation: