13/15 of her allowance was spent in total.
To solve this, you'd need to find the least common denominator (LCD) so that both fractions have the same number on the bottom. In this case, the first number that you could get with 5 and 3 was 15.
Next, you'd have to multiply the numerator by the same amount as the denominator, so that the fractions are proportionate. So, for 1/5, since we had to multiply 5 by 3 to get 15, we'd multiply 1 by 3 as well, giving us 3/15. Doing the same with 2/3, we'd get 10/15.
Then, you add the two fractions together (10/15 + 3/15 = 13/15).
Now, in any other case, you could probably simplify the fraction after you've solved the problem. If we got 12/15 instead of 13/15, then we could simplify that to 4/5, since both 12 and 15 are divisible by 3. But in this case, this is the simplest form of that fraction.
Hope this helped!!!
Answer:
This is an exponential function
Step-by-step explanation:
f(x)=2(3)^x is one example of the exponential function. Since f(0) = 2(1) = 2, the y-intercept is (0, 2). The x-axis is the horizontal asymptote. The graph begins in Quadrant II, passes through (0, 2) and continues to increase, faster and faster, in Quadrant I. Next time, please be more specific about what you'd like to know.
Answer:
1. 3
Step-by-step explanation:
Answer:
y = (x - 4)² - 25
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
y = (x + 1)(x - 9) ← expand factors using FOIL, thus
y = x² - 8x - 9
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
y = x² + 2(- 4)x + 16 - 16 - 9
= (x - 4)² - 25 ← in vertex form
Answer:
see explanation
Step-by-step explanation:
sinΘ is only valid for values in the interval
- 1 ≤ Θ ≤ 1
sinΘ = 
is outwith this interval and is not valid
