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2 years ago

Allam just finished a great meal at a restaurant in

Mathematics

1 answer:

MA_775_DIABLO [31]2 years ago

7 0

Answer: $18.00

Step-by-step explanation:

Sales tax:

5%=0.05

15(0.05)=0.75

Tip:

15%=0.15

15(0.15)=2.25

Total:

15+0.75+2.25=18

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Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer

Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

$0=(3x+2)(x-4)$

To solve the given equation, we can use the Zero Product Property according to which if the product A.B = 0, then either A = 0 OR B = 0.

Using this property:

$(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}$

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply $(3x+2)(x-4)$ i.e. $3x^2-12x+2x-8$ = $3x^2-10x-8$

So, the equation becomes:

$0=3x^2-10x-8$

Comparing this equation to standard quadratic equation:

$ax^2+bx+c=0$

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}$

The answer is same from both the approaches.

So, the correct answer is:

C) Both

3 0

2 years ago

beth wants to make bags of party favors to give to her friends. Bracelets come in package of 10. Hair bows come in package of 4.

Paladinen [302]

10 = 2x5

4 = 2x2

LCM + 2x2x5 = 20 <=== smallest number of bracelets and hair bow to buy

6 0

3 years ago

What statement about a rhombus is never true?

Alekssandra [29.7K]

It can never be a square.

7 0

3 years ago

Read 2 more answers

Find the exact value of tan( cos^-1 ( -5/13))

trasher [3.6K]

Answer:

-¹²/₅

Step-by-step explanation:

Let cos a = -⁵/₁₃

Then tan a = sin a/cos a

= [√(1 - cos²a)]/cos a

= {√[1 - (-⁵/₁₃)²]}/(-⁵/₁₃)

= -[√(1 - ²⁵/₁₆₉)] × ¹³/₅

= -[(√(¹⁴⁴/₁₆₉ )] × ¹³/₅

= -¹²/₁₃ × ¹³/₅

= -¹²/₅

tan(arccos (-⁵/₁₃)) = -¹²/₅

The diagram shows the 2nd quadrant of a circle with radius 13, cos a = -⁵/₁₃, and tan a = ¹²/₍₋₅₎ = -¹²/₅.

4 0

3 years ago

Determine the slope of the line that contains the points A(0, 2) and B(7,3). *

IgorC [24]

<h3>Given points:-</h3>

A (0,2)
B (7,3)

We know that

${\boxed{\sf Slope_{(m)}=\dfrac {y_2-y_1}{x_2-x_1}}}$

Substitute the values

$\qquad\quad {:}\longrightarrow\tt m=\dfrac {3-2}{7-0}$

$\qquad\quad {:}\longrightarrow\tt m=\dfrac {1}{7}$

$\therefore \sf Slope\:of\:the\:line\:is\:\dfrac {1}{7}$

5 0

2 years ago