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3 years ago

What are all the real zeros of y=(x-12)^3-10

Mathematics

2 answers:

zlopas [31]3 years ago

5 0

x = 3^√10 + 12

Is 100% correct

Daniel [21]3 years ago

4 0

Domain of (x-12)3-10
Range of (x-12)3-10
Parity of (x-12)3-10
Axis Interception point's of (x-12)3-10
x intercepts (40/3) Y Intercept (0,-46)
Inverse of (x -12)3-10: [x+46/3]

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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

$y=x+2$

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

$y=3\sqrt{5}$

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4 years ago

Writing Explain how you can use an equation to make predictions about a particular relationship

tresset_1 [31]

Answer:

the intercept of the line with the y-axis. Substitute the line's slope and intercept as "m" and "c" in the equation "y = mx + c." With this example, this produces the equation "y = 0.667x + 10.33." This equation predicts the y-value of any point on the plot from its x-value.

Step-by-step explanation:

hope it help

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3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20-%20144%7D%20" id="TexFormula1" title=" \sqrt{ - 144} " alt=" \sqrt{ - 144} "

RSB [31]

Answer:

I believe the answer is 12i

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3 years ago

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Snowcat [4.5K]

Answer:

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Step-by-step explanation:

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