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polet [3.4K]
3 years ago
13

A lemonade stand sells 14 gallons of lemonade in three hours. How many gallons can they expect to sell after three, eight hour d

ays
Mathematics
1 answer:
Alecsey [184]3 years ago
3 0
They should expect to sell 112 gal
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Which function represents the graph of f(x)=−4|x| after it is translated 3 units down?
vladimir1956 [14]

Answer:

The function with blue line (see attachment) represents the graph of f(x) = -4\cdot |x| after it is translated 3 units down.

Step-by-step explanation:

Mathematically speaking, a translation in the y-direction is defined by the following expression:

g(x) = f(x) + k (1)

Where:

g(x) - Resulting function.

f(x) - Original function.

k - Translation factor (k > 0 - Translation in the +y direction/k< 0 - Translation in the -y direction).

If we know that original function is translated 3 units down and f(x) = -4\cdot |x|, then the resulting function is:

g(x) = -4\cdot |x|-3

Lastly, we graph both original and resulting functions with the help of a graphing tool, whose outcome is presented in the image attached below:

Please notice that the red line represents the original function, whereas the blue line represents the resulting function.

8 0
3 years ago
What is the additive inverse of 129/7?
harina [27]

Answer:

-129/7

Step-by-step explanation:

The additive inverse of a number is what you add to a number to create the sum of zero

129/7 + x = 0

It is the opposite of 129/7

-129/7

6 0
3 years ago
Read 2 more answers
Evaluate the following expressions for x = 2.<br><br> –9.2(4 – x)<br> –9.2(4 – (2))<br> –9.2(2)
sukhopar [10]

Answer: I will do this from top to bottom.

Step-by-step explanation:

1. -36.8+9.2x

2. The equation is incorrect so tell me the right equation.

3. -18.4

4 0
2 years ago
Please help and explain. Thank you :)
Ad libitum [116K]

Answer:

A

Step-by-step explanation:

-(3^2\cdot 3^3)^3=\\-(3^{2+3})^3=\\-(3^5)^3=\\-3^{15}

Hope this helps!

8 0
3 years ago
Read 2 more answers
The number of weekly social media posts varies directly with the square root of the poster's age and inversely with the cube roo
Mrac [35]

Answer:

320

Step-by-step explanation:

With regards to the above, if a 16 year old person who earns $8,000 makes 64 posts in a week, what is the value of k.

We can find the value of k to be;

64 = (√16)/(3√8,000) . k

= 4/20 . k

= 1/5 . k

= 0.2k

K = 64 × 5

K = 320

8 0
3 years ago
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