All categories

3 years ago

Which equations are equivalent to 1/5+2/3 |2-x|= 4 ? Check all that apply. (answers on pictures)

Mathematics

2 answers:

kkurt [141]3 years ago

7 0

Answer:

Options (1) and (4)

Step-by-step explanation:

Given expression in the question is,

$\frac{1}{5}+\frac{2}{3}|2 - x|=\frac{4}{15}$

By distribution property,

$\frac{1}{5}+|\frac{4}{3}-\frac{2x}{3}|=\frac{4}{15}$

Subtract $\frac{1}{5}$ from both the sides of the equation,

$\frac{1}{5}+|\frac{4}{3}-\frac{2x}{3}|-\frac{1}{5}=\frac{4}{15}-\frac{1}{5}$

$|\frac{4}{3}-\frac{2x}{3}|=\frac{4}{15}-\frac{1}{5}$

$|\frac{4}{3}-\frac{2x}{3}|=\frac{4}{15}-\frac{3}{15}$

$\frac{2}{3}|2-x|=\frac{1}{15}$

Therefore, Options (1) and (4) will be answer.

earnstyle [38]3 years ago

7 0

Answer:

it's 1 & 3 I answered it online

You might be interested in

<img src="https://tex.z-dn.net/?f=%5Clim_%7Bh%20%5Cto%20%5C116%7D%20x-16%2F%5Csqrt%7Bx%7D%20-4" id="TexFormula1" title="\lim_{h

Evgen [1.6K]

Answer:

$\displaystyle 8$

Step-by-step explanation:

we would like to compute the following limit

$\displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \right)$

if we substitute 16 directly we'd end up

$\displaystyle = \frac{16 - 16}{ \sqrt{16} - 4}$

$\displaystyle = \frac{0}{ 0}$

which isn't a good answer now notice that we have a square root on the denominator so we can rationalise the denominator to do so multiply the expression by √x+4/√x+4 which yields:

$\displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \times \frac{ \sqrt{x} + 4 }{ \sqrt{x} + 4 } \right)$

simplify which yields:

$\displaystyle \lim_{x \to 16} \left( \frac{(x - 16)( \sqrt{x} + 4)}{ x - 16} \right)$

we can reduce fraction so that yields:

$\displaystyle \lim_{x \to 16} \left( \frac{ \cancel{(x - 16)}( \sqrt{x} + 4)}{ \cancel{x - 16} } \right)$

$\displaystyle \lim _{x \to 16} \left( \sqrt{x } + 4\right)$

now it's safe enough to substitute 16 thus

substitute:

$\displaystyle = \sqrt{16} + 4$

simplify square root:

$\displaystyle = 4 + 4$

simplify addition:

$\displaystyle = 8$

hence,

$\displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \right) = 8$

6 0

3 years ago

An amphitheater has 22 seats in the first row, 26 in the second, 30 in the third, and so on, for 30 rows. How many seats are in

Rama09 [41]

Answer:156 seats.

Step-by-step explanation:So you need to do is keep adding

4 to 30 27times. Then you add 22 and 26 to the sum.

6 0

4 years ago

Read 2 more answers

5x - 4y = 19 <br> x + 2y = 8

klemol [59]

Answer:

(5x-4y)=19

5×19-4×19

95-76

Step-by-step explanation:

x+2y=8

x=8-2

x=6

7 0

3 years ago

What angle is included by AC and BC?<br> A. B. C.

forsale [732]

Answer:

Step-by-step explanation:

3 0

3 years ago

A tissue box is in the shape of a rectangular prism with an area of 528 in.³ the length of the box of tissues is 12 inches in th

iris [78.8K]

Pu$$y is very good save it! you'll need it later in life! trust me!

5 0

4 years ago