Answer:
58.5 mg
Step-by-step explanation:
Drink: 130% of RDA of vitamin X
RDA vitamin X = 45mg
130% of 45 = mg in the drink
130% = 130/100 = 1.3
130% of 45 = 1.3*45 = 58.5
So, this new drink has 58.5 mg of vitamin
So I think the question is basically asking for the minimum y value you could get from the functions.
For the first function,
to find the minimum y. (Use x=-b/2a to find its vertex)
so in this case a=4 b=8
x=-8/2(4)=-1 the the minimum value will have -1 as its x coordinates,
plug in x=-1 to find y.
(-1,-3) for minimum value for the first function
For the second function,
(-1,0) is the vertex of the function, which is the minimum of the function.
compare the first function with y=-3 and second function y=0.
The first function will have the least minimum value and the coordinates are (-1,-3).
Answer:
16
Step-by-step explanation:
The greatest common factor is the greatest integer which divides evenly into both numbers. One way to find this is to list all of the divisors of one of the numbers, and then select the biggest of those that divides evenly into the other number, and that number is the greatest common factor.
We start with 64.
Its divisors are 1, 2, 4, 8, 16, 32, 64. The biggest of those numbers which divides evenly into 80 is 16.
Thus, the greatest common factor is 16.
Step-by-step explanation:
1. T is the midpoint of QR, U is the midpoint of QS, and V is the midpoint of RS.
This is the information given in the problem statement.
2. TU, UV, and VT are midsegments
Midsegments connect midpoints of opposite sides. So TU, UV, and VT are midsegments.
3. TU = ½ RS, UV = ½ QR, and VT = ½ SQ
By Triangle Midsegment Theorem, a midsegment connecting the midpoints of two sides of a triangle is half the length of the third side.
4. TU/RS = 1/2, UV/QR = 1/2, VT/SQ = 1/2
Division property
5. TU/RS = UV/QR = VT/SQ
Transitive property
6. ΔQRS ~ ΔVUT
Since we've shown that the corresponding sides of these triangles are proportional, then by Converse of Similar Triangles Theorem, the triangles must be similar.