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3 years ago

Simplify the following using PEMDAS: [3−(3⋅3)+33÷3] × 4⋅5/10−2⋅3

Mathematics

1 answer:

kompoz [17]3 years ago

8 0

Answer: 34

Step-by-step explanation:

Given expression

[3 - (3 · 3) + 33 ÷ 3] × 4 · 5 / 10 - 2 · 3

Simplify by parentheses in the bracket

=[3 - 9 + 33 ÷ 3] × 4 · 5 / 10 - 2 · 3

Simplify by multiplication

=[3 - 9 + 33 ÷ 3] × 20 / 10 - 6

Simplify by division

=[3 - 9 + 11] × 10 - 6

Simplify by bracket (addition/subtraction)

=[-6 + 11] × 10 - 6

=[4] × 10 - 6

Simplify by multiplication

=40 - 6

Simplify by subtraction

= $\boxed{34}$

Hope this helps!! :)

Please let me know if you have any questions

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1) 6, 18, 54

2) 5/3, 14/9, 41/27

3) 1.5, 2.5, 2.5

Step-by-step explanation:

The function that we have in this problem is

$g(x)=3x$

We want to find the first 3 iterations.

The initial value is:

x = 2

To find the value of the 1st iteration, we just substitute this value into the expression of the function, and we get:

$g_1(x)=3x=3\cdot 2 = 6$

The to find the value of the 2nd iteration, we just substitute this value into the expression of the function, and we get:

$g_2(x)=3\cdot g_1(x)=3\cdot 6 = 18$

Finally, the 3rd iteraction is given by:

$g_3(x)=3g_2(x)=3\cdot 18=54$

Here in this problem the function that we have to use is

$g(x)=\frac{1}{3}x+1$

The initial value is

$x=2$

So the first iteration is given by

$g_1(x)=\frac{1}{3}\cdot 2 + 1 = \frac{5}{3}$

To find the 2nd iteration, we substitute this value into g(x) again:

$g_2(x)=\frac{1}{3}g_1+1=\frac{1}{3}\cdot \frac{5}{3}+1=\frac{5}{9}+1=\frac{14}{9}$

Finally, to find the 3rd iteration, we substitute this value into g(x) again:

$g_3(x)=\frac{1}{3}\cdot \frac{14}{9}+1=\frac{14}{27}+1=\frac{41}{27}$

The function in this problem is

$g(x)=-|x-2|+3$

The initial value is

x = 0.5

So, the first iteration is:

$g_1(x)=-1|0.5-2|+3=-1|-1.5|+3=-1\cdot 1.5 +3=-1.5+3=1.5$

The second iteration is given by

$g_2(x)=-|g_1-2|+3=-|1.5-2|+3=--0.5+3=2.5$

Finally, the 3rd iteration is

$g_3(x)=-|g_2-2|+3=-|2.5-2|+3=-0.5+3=2.5$

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Answer:

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Step-by-step explanation:

You can make a system of equations with the description of the two integers.

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The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.

1. x = y + 3

2. 2(y + 3) + 2 = y^2

Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.

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y^2 - 2y - 8 = 0

You can factor this equation to solve for y.

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Answer:

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Here

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Substituting values in equation (1)

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