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3 years ago

Solve x3 = 125 over 27

Mathematics

2 answers:

Temka [501]3 years ago

7 0

Pretty sure it's 1.667

Flauer [41]3 years ago

7 0

I hope this helps you

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A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.

Kobotan [32]

Answer:

The numbers are

$-2+3\sqrt{5}$ and $3\sqrt{5}$

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

$x=y-2$

$y=x+2$ ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

$4y+x^2=49$ ----> equation B

substitute equation A in equation B

$4(x+2)+x^2=49$

solve for x

$x^2+4x-41=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

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

in this problem we have

$x^2+4x-41=0$

$a=1\\b=4\\c=-41$

substitute in the formula

$x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}$

$x=\frac{-4\pm\sqrt{180}} {2}$

$x=\frac{-4\pm6\sqrt{5}} {2}$

$x=-2\pm3\sqrt{5}$

The positive real number is

$x=-2+3\sqrt{5}$

Find the value of y

$y=x+2$

$y=-2+3\sqrt{5}+2$

$y=3\sqrt{5}$

6 0

3 years ago

Consider the table below that represents a quadratic function.

zlopas [31]

It would be -1/2 because the formula to find slope (rate of change) is (y2-y1)/(x2-x1) and in this case it would be (4.5-2)/(-3--2) which simplifies to (2.5)/(-5) which is -1/2

6 0

3 years ago

If tsr = 84 what is the value of x? SQ bisects TSR RSQ= 3x-9

dsp73

We know that
∠ TSR = 84°

if SQ bisects ∠ TSR
then
∠ RSQ = ∠ TSR/2
so
∠ RSQ = (1/2)*84°----- 42°
∠ RSQ = 3x-9
3x-9=42-------> 3x=42+9------> 3x=51-----> x=51/3-----> x=17°

the answer is
x=17°

7 0

3 years ago

Read 2 more answers

Katie's car averages 35 miles per hour. She has marked her

Nat2105 [25]

Answer: 175, 210, 245

Step-by-step explanation:

3 0

3 years ago

I need help with only one question on number 4? anyone pls?

Murljashka [212]

I think 2,-2 is right

4 0

2 years ago