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3 years ago

When x = 4, the value of 2x0 + x! is

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

6 0

1.

2x4= 8
8x0=0
4!=24. 1x2x3x4=24
0+24=24

Romashka [77]3 years ago

4 0

4!= 4*3*2*1

Therefore,

2x0+x!= 0+x! = 0+4!

4*3*2*1 = 24 (#1)

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using the coordinate plane shown below 1/3 point is plotted five units to the right of -4, for where should a four point be plan

Mrac [35]

we know that

the fourth point is plotted 5 units to the right of (-4,4)

the coordinate x of the fourth point is equal to

-4+5=1

the y-coordinate of the fourth point is the same y coordinate of (-4,4)

therefore

the coordinates of the fourth point is (1,4)

8 0

1 year ago

Judy is playing a card game. She needs to select two cards below that have a sum greater

Zielflug [23.3K]

Answer:

$2\frac{2}{5} + 2\frac{5}{8} \simeq 5$

$2\frac{2}{7} + 2\frac{5}{8} \simeq 5$

Step-by-step explanation:

Mixed fraction $a\frac{b}{c}$ can be converted into like or unlike fractions.

Here, $a\frac{b}{c} = \frac{ac +b}{b}$

So, convert all the given fractions as follows:

$2\frac{2}{5} = \frac{2(5) +2}{5} = \frac{12}{5} =2.4$

$2\frac{2}{7} = \frac{2(7) +2}{7} = \frac{16}{7} =2.4$

$1\frac{7}{8} = \frac{1(8) +7}{8} = \frac{15}{8} =1.8$

$2\frac{1}{10} = \frac{2(10) + 1}{10} = \frac{21}{10} =2.1$

$2\frac{5}{8} = \frac{2(8) +5}{8} = \frac{21}{8} =2.6$

Here, No Two fractions on addition gives a sum greater than 5.

But an approximate sum of 5 is given by adding 2.4 + 2.6 = 5

⇒ $2\frac{2}{5} + 2\frac{5}{8} \simeq 5$

or ⇒ $2\frac{2}{7} + 2\frac{5}{8} \simeq 5$

7 0

3 years ago

Simplify <br><img src="https://tex.z-dn.net/?f=%20%20%5Csqrt%7B%20-%20180%7D%20" id="TexFormula1" title=" \sqrt{ - 180} " alt="

QveST [7]

Answer: $(6\sqrt{5})i$

This is the same as saying $6i\sqrt{5}$

====================================================

Work Shown:

$\sqrt{-180} = \sqrt{-1*36*5}\\\\\sqrt{-180} = \sqrt{-1}*\sqrt{36}*\sqrt{5}\\\\\sqrt{-180} = i*6*\sqrt{5}\\\\\sqrt{-180} = 6i\sqrt{5}\\\\\sqrt{-180} = (6\sqrt{5})i\\\\$

where $i = \sqrt{-1}$

As the steps show above, the idea is to factor the radicand into smaller pieces where one of those pieces is the largest perfect square possible. In this case, 36 is the largest factor of 180 that's a perfect square. Then I used the rule $\sqrt{A*B} = \sqrt{A}*\sqrt{B}$ to break up the root.