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MrRissso [65]
3 years ago
13

What is -3(-6+8)^3-2(1-3)^3

Mathematics
1 answer:
marin [14]3 years ago
8 0

Assignment: \bold{Solve \ Equation: \ -3\left(-6+8\right)^3-2\left(1-3\right)^3}

<><><><><>

Answer: \boxed{\bold{-8}}

<><><><><>

Explanation: \downarrow\downarrow\downarrow

<><><><><>

[ Step One ] Follow PEMDAS Order Of Operations; Calculate Within Parenthesis

Note: \bold{PEMDAS: \ Parenthesis, \ Exponents, \ Multiply, \ Divide, \ Add, \ Subtract}

\bold{-6+8: \ 2}

[ Step Two ] Rewrite Equation

\bold{-3\cdot \:2^3-2\left(1-3\right)^3}

[ Step Three ] Calculate Within Parenthesis

\bold{1-3: \ -2}

[ Step Four ] Rewrite Equation

\bold{-3\cdot \:2^3-2\left(-2\right)^3}

[ Step Five ] Calculate Exponents

\bold{2^3: \ 8}

[ Step Six ] Rewrite Equation

\bold{-3\cdot \:8-2\left(-8\right)}

[ Step Seven ] Multiply

\bold{2\left(-8\right): \ -16}

[ Step Eight ] Rewrite Equation

\bold{-24-\left(-16\right)}

[ Step Nine ] Subtract

\bold{-24-\left(-16\right): \ -8}

[ Step Ten ] Rewrite Equation

\bold{-8}

<><><><><><><>

\bold{\rightarrow Mordancy \leftarrow}

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What is the equation of the line that passes through the point (8,-3) and has an undefined slope?
BARSIC [14]

Answer:

  x = 8

Step-by-step explanation:

A line with "undefined" slope is a vertical line, whose equation is of the form ...

  x = constant

In order for the line to go through a point with an x-coordinate of 8, the constant must be 8.

  x = 8 . . . . . a vertical line through (8, -3)

8 0
3 years ago
Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

\sqrt{(x+3)^2+(y-3)^2}

and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
3 years ago
Match the real-world problem to its constant of proportionality.
irakobra [83]

Answer:

a. $18.36 for 3 pizzas  :  k  = 6.12

b. $4.17 for 3 pounds of bananas .   k  = 1.39

c. $16.48 for 4 pounds of potatoes .  k  = 4.12

d. 2 cups of flour to make 24 cookie .  k  = 12

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k is called the PROPORTIONALITY CONSTANT.

⇒x \propto y \implies k = \frac{x}{y}  

Now, for the given quantities:

a.  $18.36 for 3 pizzas [box]    

Here, k = \frac{x}{y} = \frac{18.36}{3}  = 6.12

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, k = \frac{x}{y} = \frac{4.17}{3}  = 1.39

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, k = \frac{x}{y} = \frac{16.48}{4}  = 4.12

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here,  k = \frac{x}{y} = \frac{24}{2}  = 12

So, the proportionality constant is 12.

7 0
3 years ago
Find the square.
Alexandra [31]
The answer is C... because after multiplying everything by itself that’s what you get.
4 0
3 years ago
A plumber has a 2.5 meter long copper pipe. He needs to cut lengths of 60cm,35cm and 90cmWork out how much of the initial 2.5 me
user100 [1]

Answer:

65 cm

Step-by-step explanation:

Remember that

1\ m=100\ cm

step 1

Convert 2.5 m to cm

2.5\ m=2.5(100)=250\ cm

step 2

To find out how much of the initial long pipe is left, subtract the lengths of 60 cm, 35 cm and 90 cm from the initial long pipe

250-(60+35+90)=250-185=65\ cm

4 0
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