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2 years ago

Fill in the y values of the t-table for the function y=3√x.

Mathematics

1 answer:

Lorico [155]2 years ago

7 0

The table of values of the function y = ∛x is

x y

-8 -2

-1 -1

0 0

1 1

8 2

<h3>How to fill in the y values?</h3>

The function is given as:

y = ∛x

When x = -8, we have:

y = ∛-8 = -2

When x = -1, we have:

y = ∛-1 = -1

When x = 0, we have:

y = ∛0 = 0

When x = 1, we have:

y = ∛1 = 1

When x = 8, we have:

y = ∛8 = 8

So, the table of values is

x y

-8 -2

-1 -1

0 0

1 1

8 2

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Geometry

trapecia [35]

Answer:

EF = 8

Step-by-step explanation:

The following data were obtained from the question:

EF = 2x

FG = 8

EG = 4x

EF =?

To obtain the value of EF, we shall first, obtain the value of x. This can be obtained as follow:

EG = EF + FG

EF = 2x

FG = 8

EG = 4x

4x = 2x + 8

Collect like terms

4x – 2x = 8

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Divide both side by 2

x = 8/2

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Therefore, the value of x is 4.

Finally, we shall determine the the value of EF as follow:

EF = 2x

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**** Check ****

EG = EF + FG

EF = 2x

EG = 4x

FG = 8

4x = 2x + 8

x = 4

4(4) = 2(4) + 8

16 = 8 + 8

16 = 16

4 0

3 years ago

Solve for x<br> (1/x) -2/3 = (4x)

Vadim26 [7]

The value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

Step-by-step explanation:

The equation is $\frac{1}{x}-\frac{2}{3}=4 x$

Subtracting by $4x$ on both sides,

$\frac{1}{x}-\frac{2}{3}-4 x=0$

Taking LCM,

$\frac{3-12 x^{2}-2 x}{3 x}=0$

Multiplying by 3x on both sides,

$-12 x^{2}-2 x+3=0$

Dividing by (-) on both sides,

$12 x^{2}+2 x-3=0$

Using quadratic formula, we can solve for x.

$\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}$

Taking out common term 2, we get,

$\begin{array}{l}{x=\frac{-2(1 \pm \sqrt{37})}{24}} \\{x=\frac{-1 \pm \sqrt{37}}{12}}\end{array}$

Thus, the value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

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Answer:

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Answer:

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Step-by-step explanation:

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Now to get the width and the height of the rectangular projection we have to factorize the expression (x² - 8x + 15).

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