If you would like to find the function that gives the profit Betty makes by selling a number of glasses of lemonade, you can find this using the following steps:

p ... profit
g ... glasses of lemonade

f(g) = p = g * $1 - $50

The correct result would be f(g)<span> = g * $1 - $50.</span>

5 0

3 years ago

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In triangle ABC, a = 4, b = 6, and cos C = − 1/4. What is the length of side c?

shusha [124]

The length of side c would be 8.

Step-by-step explanation:

Given that,

a = 4

b = 6

cosC = -1/4

If we are given two sides and angle, the law of Cosines can be used to find the third side:

$c^{2} = a^{2} + b^{2} - 2ab (cos(c))$

By inserting the values in the formula, we get

$c^{2} = 4^{2} + 6^{2} - 2.4.6 (-\frac{1}{4} )$

$c^{2} = 16 + 36 + 12$

$c^{2} = 64$

$\sqrt{c^{2} } = \sqrt{64}$

c = 8.

Therefore, the length of side c would be 8.

7 0

3 years ago

How do you do r/12 =1.5 ??

Brrunno [24]

Answer:

multiply by 12: r = 18

Step-by-step explanation:

Use the multiplication property of equality. It tells you that multiplying both sides of an equation by the same value does not change the values of any of the variables. Here we can multiply by 12 and we get ...

r(12/12) = 1.5(12)

Now, the properties of the identity element for multiplication come into play. When we multiply r by 12/12=1, we do not change the value of r, so we can simplify this to ...

r = 18

_____

We chose to multiply by 12 precisely because 12/12 = 1, and the result on the left side of the equation is r.

7 0

3 years ago