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solong [7]
3 years ago
9

Given the function h(x)=x2+6x+6h(x)=x^2+6x+6h(x)=x2+6x+6, determine the average rate of change of the function over the interval

−7≤x≤2-7\le x \le 2−7≤x≤2.
Mathematics
1 answer:
Zanzabum3 years ago
6 0

Answer:

<h2>The answer is -11.</h2>

Step-by-step explanation:

The function is given by h(x) = x^{2} - 6x + 6.

Rate of change refers to the ratio between the change of the dependent variable with the change of independent variable.

The minimum value of x is -7 and the maximum value is 2.

h(-7) = 49 + 42 + 6 = 97.

h(2) = 4 - 12 + 6 = -2.

The average rate of change is \frac{h(-7) - h(2)}{-7 - 2} = \frac{97 + 2}{-9} = -11.

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A certain drug concentration of 2.145 mg per 1.716 mL, how many mL are needed to give 2.937 gram of the drug.
Ivenika [448]

Answer:

2,349.6‬ ml

Step-by-step explanation:

To start solving this, i realized that there was a difference in the units given and the units asked for in the answer, so I converted 2.937 grams to 2,397 mg. It is given that there are 2.145 mg of the drug in 1.716 mL, so set up the equation 2.145 / 1.716 = 2,937 / x, where x is the mL of the drug needed. Cross multiply to get 5039.892 = 2.145 x. Divide by 2.145 and get 2,349.6‬ ml

5 0
3 years ago
Write y=-3x^2+12x-21 in vertex form
riadik2000 [5.3K]
Complete the square: 
<span>y = 3x^2 - 12x + 4 </span>
<span>y = 3(x^2 - 4x) + 4 </span>
<span>y = 3(x^2 - 4x + 4 - 4) + 4 </span>
<span>y = 3(x^2 - 4x + 4) - 12 + 4 </span>
<span>y = 3(x - 2)^2 - 8</span>
5 0
3 years ago
Read 2 more answers
Efectua ( -69 ) - ( +58 ) + (-76 ) - ( -88 ) + ( -47 ) - ( -64 )
Liono4ka [1.6K]

Answer:

-98

Step-by-step explanation:

5 0
2 years ago
Help me and EXPLAIN plz
dalvyx [7]
Volume=length X breadth X height

hence, volume= 9.6 X 5 X 7 cubic millimeters
 
which is equal to 336 cubic mm
5 0
3 years ago
David bought a used Dodge Challenger for $14,000. The value of the car depreciates 11% per year from the time he bought the car.
statuscvo [17]

Answer:

V(t) = 14,000(0.89)^t

Step-by-step explanation:

Present value of the Dodge Challenger = $14,000

Present percentage value = 100%

Depreciation value = 11%

Number of years = t

Future value = V(t)

V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t

= 14,000(100% - 11%)^t

= 14,000(89%)^t

= 14,000(0.89)^t

V(t) = 14,000(0.89)^t

7 0
3 years ago
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