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3 years ago

Help! Will mark brainliest if correct!

Mathematics

1 answer:

kati45 [8]3 years ago

3 0

Answer:2284

Step-by-step explanation:

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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 $x=\frac{-1-\sqrt{37}}{12}$

4 0

3 years ago

Sam is planting a garden that measures

nikitadnepr [17]

Answer:

63.7 feet

Step-by-step explanation:

We can re-write the width and the length both as rational numbers:

- Width: $w=6.5=\frac{65}{10}$

- Length: $L=9.8=\frac{98}{10}$

So now we can find the area of the garden by multiplying width and length:

$A=wL=\frac{65}{10}\cdot \frac{98}{10}=\frac{65\cdot 98}{10\cdot 10}=\frac{6370}{100}=63.7$

7 0

3 years ago

Tessa claims that a rotation of 90° clockwise about the center of some polygons will carry the polygon onto itself. Select two p

DochEvi [55]

It's square and rhombus

5 0

3 years ago

Read 2 more answers

Simplify (3v5+8v3−10v2)−(−12v5+4v3+14v2) . Write answer in standard form.<br> <br>

Tatiana [17]

Answer:

15v^5+4v^3-24v^2

Step-by-step explanation:

Distribute the Negative Sign:

=3v5+8v3−10v2+−1(−12v5+4v3+14v2)

=3v5+8v3+−10v2+−1(−12v5)+−1(4v3)+−1(14v2)

=3v5+8v3+−10v2+12v5+−4v3+−14v2

Combine Like Terms:

=3v5+8v3+−10v2+12v5+−4v3+−14v2

=(3v5+12v5)+(8v3+−4v3)+(−10v2+−14v2)

=15v5+4v3+−24v2

Answer:

=15v5+4v3−24v2

Hope this helps! :)

5 0

3 years ago

if a truck travel 248 miles in 4 hours then the truck traveled an average of how many miles each hour write an equation to solve

koban [17]

https://www.slader.com/discussion/question/if-a-truck-traveled-248-miles-in-4-hours-then-the-truck-9c45464f/

6 0

4 years ago