When adding two together multiply:
log2 6 + log2 2 = log2(6*2) = log2 12
When you subtract 2 logs, divide:
So you have log2 12 / log2 8
Rewrite as log2 12/8
Simplify to get log2 3/2
The answer is C.
Answer:
They have the same x-value
f(x) has the greater minimum
Step-by-step explanation:
To find the vertex of a second degree equation, in this case the minimum value, we can use the following equation:
x = -b / 2a
Remember that a second degree equation has the following form:
ax^2 + bx + c
so a = 1, b = -8 and c = 7. Now you have to substitute in the previous equation
x = - (-8) / 2(1)
x = 8 / 2
x = 4
This means that the two functions have the same x-value.
The y value of f(x) would be
f(4) = (4)^2 - 8(4) + 7
f(4) = 16 - 32 + 7
f(4) = -9
So the vertex, or minimun value of f(x) would be at the point (4, -9).
The vertex, or minimun value of g(x) is at the point (4, -4).
So f(x) has a minimum value of -9 and g(x) a minimum value of -4.
Since measure REU equal measure SFT, RE=FT and SF=EU then the two triangles REU et SFT are similar.
Then we deduce that the two sides RU and ST are equal, RU=ST.
Also, since the two triangles above are similar, then the two angles FST and RUE are equal. We deduce that the two lines RU and ST are parallel (interior opposite angles principles.)
We have two facts now:
RU = ST and RU parallel to ST, we deduce that the quadrilateral is a parallelogram.
Not sure but my guess is answer B but you might want to check around be for taking my advice on this.
Answer:
Olga
Step-by-step explanation:
To calculate average speed we can compare their hourly rate
Trisha ran 10km in 2.5 hours which is equal to 4km in an hour
Jason ran 7.5km in 2 hours which is equal to <em>3.75km an hour</em>
Olga ran 9.5km in 2.25 hours which is equal to <u>4.2 an hour</u> approximately
