Suppose the juice boxes go on sale for $1.79 for the eight 4.23-ouncejuice boxes, and the cider goes on sale for $6.50 per gallon. Does this
change your decision? Why or why not?

Answers

Answer 1

Answer: Yes it does shegehehehavueheuwbuehwhwb

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Look at the function f(x) = −x + 5. Which of the following describes the domain and range of the function and its inverse?

Answers

Answer:

The inverse is g(x)=-x+5.

Both f and g have domain and range all real numbers.

In interval notation that is $(-\infty,\infty)$

Step-by-step explanation:

f(x)=-x+5 is a linear function.

Since isn't f(x)=constant then it is diagonal so this means the range is all real numbers.

For any linear function, the domain will be all real numbers.

So to find the inverse of y=-x+5, you interchange x and y and resolve for y.

y=-x+5

(interchange)

x=-y+5

(solve for y)

Subtract 5 on both sides:

x-5=-y

Multiplying both sides by -1:

-x+5=y

So the inverse is g(x)=-x+5. To find find the domain and range of the inverse function given you already did it for the original function, the sets are swapped. The sets were the same here because they were both all real numbers.

Answer:

Domain of this function become R

Step-by-step explanation:

Find the value of g(5) if g(x)=x3−x.

Answers

Answer:

g(5) = 120

Step-by-step explanation:

to evaluate g(5) , substitute x = 5 into g(x)

g(x) = x³ - x , then

g(5) = 5³ - 5 = 125 - 5 = 120

Express each as a single power of 2...

2^a X 2^b X 2^c

2^a+b X 2^a-b

Answers

i) $2 ^(a)*2 ^(b)* 2^(c)$
We know that $x^(a) * x^(b) = x^(a+b)$
Therefore,
$2 ^(a)*2 ^(b)* 2^(c)$ = $2 ^(a+b+c)$
ii) $2 ^(a+b) * 2 ^(a-b)= 2^((a+b+a-b))$
$= 2^(2a)$

I do not know which formula to useCarla bought a dress at a sale for 20% off the original price. The sale price of the dress was $68.90. Find the original price of the drees, in dollars.

Step by step explanation please.

Answers

Answer:

I think it's the second formula.

Step-by-step explanation:

Let x be the original price.

The discount rate is 20%

Sale Price is $68.90

Discount = 20% of x = 0.2x

Using the formula, Sale Price = Original Price - Discount,

Original Price - Discount is x-0.2x = 0.8x

$68.90 = 0.8x

From here on, just do the equation :) Hope this helps!

Use the 3rd one because it has fewer steps and will give you the answer

Complete these ordered pairs for the equation: y = 3x - 6 (0,__), (__,0), (1,__)

Answers

$y = 3x - 6 \n \n (0, ....), \n\n x=0\n\ny=3\cdot 0-6=-6\n\n(0,-6)$

$(.... ,0),\n\n y=0\n \n0=3x-6 \n \n3x=6\ \ /:3\n\nx=2 \n\n(2,0)$

$(1, ....), \n\n x=1\n\ny=3\cdot 1-6=3-6=-3\n\n(0,-3)$

Ethan stands 256 cm at point C from a lamp post AB. He is 180 cm tall and his shadow from the lamp is 144 cm long. Find the height AB, in metres, of the lamp post.