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3 years ago

45.60$ meal with a an 18% tip

Mathematics

1 answer:

laila [671]3 years ago

3 0

Answer:

53.81

Step-by-step explanation:

if u add the tip but the tip by itself is 8.21

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NO LINKS!! Use the method of substitution to solve the system. (If there's no solution, enter no solution). Part 11z

Roman55 [17]

Answer:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

Step-by-step explanation:

Given system of equations:

$\begin{cases}y=x^2-9\\y=4x-4\end{cases}$

To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

$\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}$

Apply the <u>zero-product property</u> and solve for x:

$\implies x+1=0 \implies x=-1$

$\implies x-5=0 \implies x=5$

Substitute the found values of x into the <u>second equation</u> and solve for y:

$\begin{aligned}x=-1 \implies y&=4(-1)-4\\y&=-4-4\\y&=-8\end{aligned}$

$\begin{aligned}x=5 \implies y&=4(5)-4\\y&=20-4\\y&=16\end{aligned}$

Therefore, the solutions are:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

6 0

1 year ago

Read 2 more answers

En la expresion algebraica x², ¿que indica el número 2 en la base x?

tino4ka555 [31]

Answer:

En la expresión, 2 representa la cantidad de veces que multiplicas x por sí mismo.

**Lo siento si mi español es malo, el inglés es mi primer idioma.

Step-by-step explanation:

$8^{2}$ = 8 × 8 = 64

$y^2$ = y × y

5 0

3 years ago

19. Write an equation to represent the relationship

balandron [24]

Answer:

y = x +3

Step-by-step explanation:

When you examine the table, you see that each y-value is 3 more than the corresponding x-value. This is represented in the equation ...

y = x +3

8 0

2 years ago

the location on point k is shown on the number line below. what fraction is represented by the location of point k

Xelga [282]

The location of point K as a mixed number is 8 6/8 = 8 3/4 because there are 8 lines, and point K is on the 6th line.

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3 years ago

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Tamika made 6 gallons of lemonade. She used 3/4 cup of sugar for each gallon of lemonade, as shown

BARSIC [14]

Answer:

Step-by-step explanation:

did da test

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3 years ago