Answer:
d is a answer there arer no more
Step-by-step explanation:
she can ride 14 rides
I assume you're familiar with the limit
![\displaystyle\lim_{x\to0}\frac{\sin ax}{ax}=1](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bx%5Cto0%7D%5Cfrac%7B%5Csin%20ax%7D%7Bax%7D%3D1)
for
![a\neq0](https://tex.z-dn.net/?f=a%5Cneq0)
. We write the given limit in this form:
![\displaystyle\lim_{x\to0}\frac{\sin(-2x)}x=-2\cdot\lim_{x\to0}\frac{\sin(-2x)}{-2x}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bx%5Cto0%7D%5Cfrac%7B%5Csin%28-2x%29%7Dx%3D-2%5Ccdot%5Clim_%7Bx%5Cto0%7D%5Cfrac%7B%5Csin%28-2x%29%7D%7B-2x%7D)
The limit on the RHS is 1, so we're left with -2.
Answer:
No, The graph does not represent two proportional quantities, because the line does not passes through the origin point (0, 0)
Step-by-step explanation:
- The equation of the proportional quantity is y = k x, where k is the constant of proportionality
- This equation represented graphically by a line passes through the origin point (0, 0) because if we substitute x by 0 in the equation y = kx, y must be equal to zero
<em>To solve the question graphically, we will use the ordered pairs on the table </em>
→ x → y ⇒ ordered pair
→ 1 → 3 ⇒ (1, 3)
→ 7 → 1 ⇒ (7, 1)
→ 4 → 2 ⇒ (4, 2)
<em>Plot the points</em>
→ Look at the attached graph down
- x-axis represents the number of hours
- y-axis represents the number of people
∵ The line does not cut the y-axis at the origin point (0, 0)
→ That means the equation of the line can not be in the form y = k x
∴ The line does not represent a proportional equation
∴ The number of people and the number of hours are not proportion
You must first find a common denominator.
Change the fractions to the common denominator.
Then you add or subtract the fractions.
Finally, you may need to reduce the fraction.
Example 1:
Add
1/5 + 1/3
The least common denominator is 15.
Both denominators must become 15.
1/5 + 1/3 = 3/3 * 1/5 + 5/5 * 1/3 = 3/15 + 5/15 = 8/15
Example 2:
Subtract
3/8 - 1/3
The least common denominator is 24.
3/3 * 3/8 - 8/8 * 1/3 = 9/24 - 8/24 = 1/24
Both in addition and subtraction, you only add or subtract the numerators. The denominator of the answer is the common denominator.
Answer:
ok so 1/6 + 1/3, or 2/6 = 3/6 = 1/2