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Nutka1998 [239]
3 years ago
15

Becca and Devon went out to dinner. Becca's meal cost $13.50 and Devon's meal cost $12.50. How much money should they leave thei

r waiter if they want to give him a 20% tip
Mathematics
1 answer:
Roman55 [17]3 years ago
6 0

Answer:

Step-by-step explanation:

Becca's meal cost $13.50

Devon's meal cost $12.50

$13.50+ $12.50 = $26

20% of 26 = $5.20

They should tip the waiter $5.20

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Danika concludes that the following functions are inverses of each other because f(g(x)) = x. Do you agree with Danika? Explain
arsen [322]
We cannot agree with Danika. Why? Well, The reasoning is given as follows:

Two functions are inverses of each other if and only if it is true that the composition function is given by:

f(g(x))=x

Everything is ok up to this point, right?. But let's prove that this is not fulfilled for these functions, then:

f(x)=\left | x \right | \\ \\ g(x)=-x \\ \\ f(g(x))=\left| -x \right |=\left | -1 \right | \left | x \right |=\left | x \right |  \\ \\ \therefore f(g(x))=\left | x \right | \neq x
<span>
As you can see we did not obtain the function that matches the definition of </span>inverse functions. For that reason <em>we can't agree with Danika</em>.
5 0
3 years ago
Read 2 more answers
I need to figure out how many solutions does the system of equations below have.
Aleonysh [2.5K]

Answer:

The system has one solution.

Step-by-step explanation:

To find the number of solutions of the system, we equal both equations for y.

If we have ax = b, in which both a and b are different of 0, we have one solution.

If both a and b are 0, we have infinite solutions.

If a is 0 and b is not, there are no solutions.

y=6/7x-8 and y=7/9x+10/9

So

\frac{6x}{7} - 8 = \frac{7x}{9} + \frac{10}{9}

\frac{6x}{7} - \frac{7x}{9} = \frac{10}{9} + 8

\frac{54x - 49x}{63} = \frac{10}{9} + \frac{72}{9}

\frac{5x}{63} = \frac{82}{9}

45x = 63*82

Both a and b are different of 0, so the system has one solution.

6 0
2 years ago
PLEASE HELPPP :(( lol
Ksivusya [100]

Answer:

the pic is block

Step-by-step explanation:

7 0
3 years ago
16x² +8-7x-3x2 - 13x
liq [111]

Answer:

13x^{2}-20x+8

Step-by-step explanation:

Step 1: rearrange the equation

16x^2 - 3x^2 - 7x - 13x +8

Step 2: solve the equation

16x^2 - 3x^2 = 13x^2

-7x - 13x = -20x

(the +8 will stay the same)

so when we put it all together it gives us

13x^2 - 20x + 8

5 0
3 years ago
What are the next three terms in the sequence -27, -19, -11, -3, 5, ...?
ddd [48]

Answer:

13, 21, 29

Step-by-step explanation:

the difference is 8

so add 8 to last numbers

3 0
3 years ago
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