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Alexandra [31]
3 years ago
12

Can someone help me with this? And ty

Mathematics
1 answer:
klemol [59]3 years ago
4 0

Answer:

C

Step-by-step explanation:

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20pi sq units
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The height h of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the funct
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Answer:

D) h(3)-h(0)/3

Step-by-step explanation:

The average rate of change is found by subtracting the output values (finding the amount of change in the output values) and dividing it by the change in the input values.

The height in the 3rd second would be given by h(3).  The original height would be given by h(0).  The change in output values would be given by h(3)-h(0).

The change in input values is found by subtracting the two input values, in this case 3 and 0; 3-0 = 3.  

This gives us

h(3)-h(0)/3

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3 years ago
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Find the non-extraneous solutions of the square root of the quantity x plus 6 minus 5 equals quantity x plus 1.
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The radical equation is \sqrt{x+6}-5=x+1.


i) We first isolate the square root, adding 5 to both sides of the equation: 
       
                                        \sqrt{x+6}=x+6.

ii) Here let's substitute x+6 with t. Doing so we have:
 
                                         \sqrt{t}=t.

Squaring both sides, we get:
                       
                                               t=t^2

iii) Collecting the variables on the same side, and factorizing t we have:
 
                                               t(t-1)=0, which yields

                              t=0    or       t=1.

Now we solve for x in x+6=t:

x+6=0 ⇒x=-6       and x+6=1⇒x=-5.


iv) Now we check these values in the original equation  \sqrt{x+6}=x+6 :

a) \sqrt{-6+6}=-6+6. ⇒ 0=0 ; Correct.


b) \sqrt{-5+6}=-5+6. ⇒ 1=1 ; Correct.



Answer: <span>x = −6 and x = −5 </span>
5 0
3 years ago
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Clarissa bought 3 cartons of milk for y cents each she gave the cashier $10. How much change did she receive? Express your answe
e-lub [12.9K]

Answer:

The amount of change she received was (10-0.03y) dollar.

Step-by-step explanation:

Price of each carton of milk is  y cents and she bought 3 cartons of milk.

We know that, <u>1 dollar = 100 cents</u>

So,  1 cent = \frac{1}{100}=0.01 dollar.

and  y cents =0.01y dollar.

Thus, <u>the total price of 3 cartons of milk</u> =(0.01y*3)=0.03y dollar.

She gave the cashier $10.

So, the amount of change she received =(10-0.03y) dollar.

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19. Kara's backpacki contains 4 boxes of pencils. Each box containsp pencils. Kara's backpack also contains 6 pens. Write three
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Here are 3 equivalent expressions that would represent the total number of pencils and pens in Karen's backpack.

1. 4p + 6

2. p+ p + p + p + 6

3. 6 + 4(p)

Each of these has four groups of p +6 represented.
5 0
3 years ago
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