Answer:
<em>The input when the output is 17 is x=6.</em>
Step-by-step explanation:
<u>Functions</u>
Assume the input is called x and the output is the function f(x). Two times the input is 2x. 5 more than that is 2x+5.
Knowing the output of the function is 5 more than 2 times the input, we can write the function as:
f(x)=2x+5
Now find the input x when the output is 17:
17=2x+5
Swap sides of the equation:
2x+5=17
Subtract 5:
2x=17-5=12
Divide by 2:
x=12/6=6
The input when the output is 17 is x=6.
Answer:
- first shift: 13,750 bulbs
- second shift: 2500 bulbs
Step-by-step explanation:
The production ratio is ...
shift 1 : shift 2 = 5.5 : 1 = 11 : 2
so, the production on shift 1 as a ratio to the total is ...
shift 1 : total = 11 : (11+2) = 11 : 13
The first shift produced ...
(11/13)(16,250 bulbs) = 13,750 bulbs . . . . first shift
and the second shift produced ...
(2/13)(16,250 bulbs) = 2,500 bulbs . . . . second shift
_____
Of course, once you have one of the numbers, you can also find the other by using the 5.5 factor or by subtracting from total production.
Answer:
Correct choices are A and C
Step-by-step explanation:
Inscribed angles property: The inscribed angles subtended by the same arc are equal.
1. Angles EFH and EGH are both inscribed angles subtended by the arc EH. Therefore, these angles are congruent (option A is true).
2. Angles GHF and GEF are both inscribed angles subtended by the arc GF. Therefore, these angles are congruent (option C is true).
3. Angles EGH and FHG are interior angles of the triangle KGH and can be congruent (if triangle is isosceles) or can be not congruent (in general). Thus, option B is false.
4. Angles EFH and FHG in general are not congruent. They can be congruent only when arcs EH and FG have the same measure. In general, option D is false.
