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Elodia [21]
3 years ago
6

One-third of a number added to itself equals 3 times the difference of the number and seven.

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0

Answer:

Step-by-step explanation:

Do this step by step.

Let the number = x

1/3 of a number = 1/3 x

Added to itself 1/3x + x

=

3*(x - 7)

So the equation is

1/3x  + x = 3(x - 7)            Remove the brackets. Collect 1/3x and x

4/3 x = 3x - 21                 Multiply both sides by 3.

4x = 3*(3x - 21)                Remove the brackets again

4x = 9x - 63                    Subtract 9x from both sides

-5x = -63                         Divide by -5

x = -63/-5

x = 12.6

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iogann1982 [59]
You take the three zeros and put them back with the x s 

(x-6)(x+5)(x-2)  they are reversed when you put them back in 

multiply the first two and get x^2+5x -6x-30(x-2) 
simplify to x^2-x-30(x-2)

Multiply it out again and get x^3-x^2-30x-2x^2+2x+60
finally simplify and get x^3-3x^2-28x+60 

So the answer is the first one

4 0
3 years ago
I need help with Precal asap !!!! I’ll mark u as brainliest, please if you don’t know the correct answer don’t write down.
Amanda [17]

Answer:

Equation 1:  r = <u>4</u> +( <u>3</u> * <u>cos theta</u>  )

Equation 2: r = sqrt (<u> 5²</u> * <u>sin(2 theta)</u> )

Step-by-step explanation:

GRAPH 1:  

The first graph is a dimpled limacon.

General equation for dimpled limacon:

r = a + b cos theta                     ∴ if dimple is along the x- axis

r = a + b sin theta                      ∴ if dimple is along the y-axis

y-intercept : { a, -a }  = { 4, -4 }   ∴ the points at which limacon intersects y-axis

Negative side of x-axis = ( a – b ) ⇒ 1

Positive side of x-axis = ( a + b ) ⇒ 7

Subtract the value of a from sum of a and b to find b:

b = 7 – 4 ⇒ 3

Equation1:  r = <u>4</u> +( <u>3</u> * <u>cos theta</u>  )

GRAPH 2:  

The second graph is a lemniscates.  

General equation for lemniscates is:

r² = a² cos(2theta)                        ∴ if petals of graph are on coordinate axis

r² = a² sin(2 theta)                ∴ if petals of graph are not on coordinate axis

now, according to the graph:

a = 5 ⇒ a² = 25

angle of graph:  cos2θ, simply divide 360° by 2:

\frac{360}{2} ⇒ 180°

The petals cannot be on coordinate axis, we start from 45° and then the next petal will be on:

45° + 180° = 225°

Since the graph is not on the coordinate axis, so

r² = 5² sin(2 theta)   ⇒    r = sqrt ( 5² * sin(2 theta) )      

Equation 2: r = sqrt (<u> 5²</u> * <u>sin(2 theta)</u> )      

6 0
3 years ago
Help :( no links
ser-zykov [4K]

Answer:

128

Step-by-step explanation:

90-27 = 63 + 65 = 128 and since we know x is equal to the opposite side we can assume that x=128

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2 years ago
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Solve C = 2πr for r.
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I hope this helps you




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3 years ago
Which is the simplified form of (9 c Superscript negative 9 Baseline) Superscript negative 3?
olga55 [171]

Answer:

9c27

Step-by-step explanation:

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3 years ago
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