MATHEMATICS HIGH SCHOOL

X + 1.5x - 0.75 = 73

what is the value of x?

Answers

Answer 1
Answer: x + 1.5x - 0.75 = 73
2.5x - 0.75 = 73
2.5x = 73 + 0.75
2.5x = 73.75
x = 29.5

The answer is: x = 29.5.

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Is it possible that image of a point after a reflection could be the same as the preimage?

Answers

Sure. The point is ON the line of reflection.

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Answers

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How many roots of the polynomial 30x^4 + 7x^3-125x^2-54x+72 have absolute value greater than 1?

Answers

Answer:

There are 3 roots of the given polynomial that have absolute value greater than 1.  

Step-by-step explanation:

We are given the polynomial:

p(x) = 30x^4 + 7x^3-125x^2-54x+72

We can factorize the given polynomial as:

p(x) = 30x^4 + 7x^3-125x^2-54x+72\n=(x-2)(2x+3)(5x-3)(3x+4)=0

\text{Solving for}\n(x-2) = 0\nx = 2\n|x| = 2 > 1

\text{Solving for}\n(2x+3) = 0\nx = (-3)/(2)\n\bigg|(-3)/(2)\bigg| = (3)/(2) > 1

\text{Solving for}\n(5x-3) = 0\nx = (3)/(5)\n\bigg|(3)/(5)\bigg| = (3)/(5) < 1

\text{Solving for}\n(3x+4) = 0\nx = (-4)/(3)\n\bigg|(-4)/(3)\bigg| = (4)/(3) > 1

Thus, there are 3 roots of the given polynomial that have absolute value greater than 1.

The value of Jamie's baseball card collection rose 60% in the last year. It is now worth $272. What was it worth a year ago?

Answers

Take X as the original cost 255=1.5x.... Since the value has appreciated by 60% X=255/1.5=170...

A sphere has a radius of 5cm what is the volume of the sphere

Answers

Answer:

(500)/(3)\pi

Step-by-step explanation:

The equation for Volume of a Sphere is:

V=(4)/(3)\pi r^3

We can plug in the given radius into the equation:

V=(4)/(3)\pi5^3=(4)/(3)\pi125=(500)/(3)\pi

I need help filling out the boxes because I'm not understand the pattern going on.

Answers

ΔRST: R(-2, -3)
            S(0, 2)
            T(2, -3)

ΔR'S'T': R'(-6, -9)
              S'(0, 6)
              T'(6, -9)

S' = 3S
T' = 3T
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