Answer:
c. 0<b<1
Step-by-step explanation:
F(x) = logb x
When b is less than 1 see attached graph
I think it will be -9 < x - 4 < 9
answer:
$0.75
Step-by-step explanation:
the function can be represented as:
f(x)=0.25x+3.5
the function produces the following values for years 1, 2, and 3 respectively:
f(1)=0.25(1)+3.5=3.75
f(2)=0.25(2)+3.5=4.00
f(3)=0.25(3)+3.5=4.25
therefore,
there is a $0.75 increase per year
I guess the chef is making the mixture for the sheriff... Let <em>x</em> be the amount of dressing with 5% vinegar that is required, and <em>y</em> the amount of 15% vinegar dressing (both amounts in mL).
The sheriff wants 390 mL of the mixed dressing, so that
<em>x</em> + <em>y</em> = 390
<em>x</em> mL of the 5% dressing contains 0.05<em>x</em> mL of vinegar, while <em>y</em> mL of the 15% dressing contains 0.15<em>y</em> mL of vinegar. The resulting mixture should have a concentration of 9% vinegar, so that it contains 0.09 (390 mL) = 35.1 mL of vinegar. This means
0.05<em>x</em> + 0.15<em>y</em> = 35.1
Solve for <em>x</em> and <em>y</em> :
<em>y</em> = 390 - <em>x</em>
0.05<em>x</em> + 0.15 (390 - <em>x</em>) = 35.1
0.05<em>x</em> + 58.5 - 0.15<em>x</em> = 35.1
23.4 = 0.10<em>x</em>
<em>x</em> = 234
<em>y</em> = 156