Find a common denominator 7/8 = 35/40 and 5/10 = 20/40. Also 7/8 is almost a whole and 5/10 is half. 7/8 is greater.
Answer:
Andres has 12 stars.
Step-by-step explanation:
- 3 stars - 1 goal
- -3/4 stars - Missed goal
- Scored 5
- Missed 4
3 * 5 = 15
He has 15 stars but then misses 4 goals.
3/4 * 4 = 3
He loses 3 stars becuase he missed 4 goals.
15 - 3 = 12
He ends with 12 stars.
<span>g(f(x)) = g(-5x+4) = 4(-5x+4) + 5 = 21-20x</span>
Angles are 18° and 72°
Step-by-step explanation:
- Step 1: Find the two complementary angles in the ratio 1:4. Let the angles be 1x and 4x.
x + 4x = 90° (∵ they are complementary)
5x = 90
∴ x = 90/5 = 18
⇒ Angles are 18° and 4x = 72°
Answer:
- <u>No, he can get an output of 0 with the second machine (function B) but he cannot get an output of 0 with the first machine (function A).</u>
Explanation
The way each machine works is given by the expression (function) inside it.
<u>1) </u><em><u>Function A</u></em>
To get an output of 0 with the function y = x² + 3, you must solve the equation x² + 3 = 0.
Since x² is zero or positive for any real number, x² + 3 will never be less than 3 (the minimum value of x² + 3 is 3). So, it is not possible to get an output of 0 with the first machine.
<u>2) </u><em><u>Function B</u></em>
Solve 
So, he can get an output of 0 by using x = 4.