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3 years ago

What is the solution to this equation 216 = 62x - 1

Mathematics

1 answer:

Verizon [17]3 years ago

3 0

Answer:

A. x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality

Subtraction Property of Equality

Algebra II

Solving exponential equations

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 216 = 6^{2x - 1}$

Step 2: Solve for x

Rewrite: $\displaystyle 6^3 = 6^{2x - 1}$
Set: $\displaystyle 3 = 2x - 1$
[Addition Property of Equality] Add 1 on both sides: $\displaystyle 4 = 2x$
[Division Property of Equality] Divide 2 on both sides: $\displaystyle 2 = x$
Rewrite: $\displaystyle x = 2$

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Pls help me, I really dont understand

Stella [2.4K]

Answer:

-2.5x-.5

$y=\frac{2}{3}x-1$

draw the dotted line (3/7)x-3 and shade below it

Step-by-step explanation:

First, we need the slope

Use the slope formula:

$\frac{Y_2-Y_1}{X_2-x_1}=\frac{2-(-8)}{-1-3}=\frac{10}{-4}=-2.5$

so we have

y= -2.5x+b

Solve for b by plugging in coordiantes

-8= -2.5(3)+b

-8= -7.5+b

b= -.5

Put it together and get -2.5x-.5

2.)

A line is parallel to another line if they have the same slope (and different y intercepts)

So in the formula y=mx+b we knowe that m= 2/3

Now it's just a matter of solving for B

plug in the required coordinate to do this

-1=(2/3)*0+b

-1= b

Put it all together to get

$y=\frac{2}{3}x-1$

3.)

put this into slope intercept form

3x-7y>21

3x-21 > 7y

(3/7)x-3 >y

To graph this just draw a dotted line with the equation (3/7)x-3 and shade everything below it (use de_smos if you're stuck)

7 0

4 years ago

Terday. Priya successfully made 6 free throws. Today, she made 75% as

tatuchka [14]

Answer:

Step-by-step explanation:

Yesterday, Priya successfully made 6 free throws.

Today, she made 75% as many as yesterday.

We are asked to calculate the number of successful free throws that Priya made today.

So, the number will be $6 (1 + \frac{75}{100} ) = 10.5$ .

Since it is the number of successful free throws, so it will be 10 throws. ( Answer )

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4 years ago

A toy company is making a miniature model of a dump truck. The steering wheel on the toy car that is 0.6 cm corresponds to the s

pentagon [3]

I used the 55.2 and the 0.6 to find a ratio of 92:1, so for every cm of toy car steering wheel there are 92 cm of real truck steering wheel. so using this ratio i times the 3.5cm of the toy car windshield by the 92, this gave me the answer of 322cm, which theoretically is the answer of this equation. 322cm.

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4 years ago

An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from e

laila [671]

Answer:

x=4 Inch

Step-by-step explanation:

Length of the Square = 24 Inches

If a Square of Length x cm is cut out from each corner

Length of the Box = 24-x-x=(24-2x) Inches

Width of the Box =24-x-x=(24-2x) Inches

Height of the box = x inches

Volume of a Cuboid = Length X Width X Height

V(x)= x(24-2x)(24-2x)

Simplifying

V(x)=4x(12-x)(12-x)

To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.

V(x)=4x(12-x)(12-x)

$V^{'}(x)=12(x-12)(x-4)$

Set the derivative equal to zero to obtain the critical points

$V^{'}(x)=12(x-12)(x-4)=0\\Since \: 12\neq 0\\(x-12)(x-4)=0\\x-12=0 \:or\: x-4=0\\x=12 \:or\: x=4$

x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.

When x=4

V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches

When x=4 Inch, the volume, V of the open box is largest.

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4 years ago

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madreJ [45]

Answer:

3 or (0,3)

Step-by-step explanation:

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3 years ago