Selection A is appropriate.
_____
When the coefficient of x^2 is negative, the graph opens down.
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
<u>Answer:</u>
∠DBC = 40°
<u>Step-by-step explanation:</u>
We are given a figure where we know that the angle m∠1 = 65°, m∠2 = 60° and m∠6 = 85°. With the help of these given measures of the angles, we are to find the measure of the angle m∠DBC.
Since the sum of angles in a triangle is equal to 180 degrees, so:
∠1 + ∠2 + ∠3 = 180
∠3 = 180 - (65 + 60)
∠3 = 55°
Also ∠6 and ∠B are alternate interior angles so if ∠6 = 85° then ∠B is also = 85°.
Now that we know ∠3 and ∠B, we can find ∠DBC:
∠DBC = 180 - (85 + 55)
∠DBC = 40°
Answer:
The equation is
Step-by-step explanation:
The exponential growth equation is , where
- a is the initial value (value y at x = 0)
- r is the rate of increasing in decimal
∵ The value of gold is appreciating 18% every hour
∴ r = 18%
∵ 18% = = 0.18
∴ r = 0.18
∵ The gold coin was worth $40 at the beginning of the crisis
∴ The initial amount is $40
∴ a = 40
∵ y represents the value of the gold after x hours
∴
- Substitute the values of a and r in the form above
∴
∴
The equation is