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3 years ago

Please solve. 6(3 + 8) - 4/5

Mathematics

2 answers:

Rudik [331]3 years ago

7 0

Answer:

$\Large \boxed{\frac{326}{5}}$

Step-by-step explanation:

$\displaystyle 6(3 + 8) - \frac{4}{5}$

Solving brackets.

$\displaystyle 6(11) - \frac{4}{5}$

$\displaystyle 66 - \frac{4}{5}$

Subtract.

$\displaystyle \frac{66}{1} - \frac{4}{5}$

$\displaystyle \frac{66 \times 5}{1 \times 5} - \frac{4}{5}$

$\displaystyle \frac{330}{5} - \frac{4}{5}$

$\displaystyle \frac{330-4}{5}$

$\displaystyle \frac{326}{5}$

Gre4nikov [31]3 years ago

3 0

G'Day mate! Here's the answer:

53 1/3

1. 6(3 + 6) - 4/5

2. 6 x 3 is 18, and 6 x 8 is 48

3. 18 plus 48 is 66

4. 66 - 4/5 = 266/5

5. 266/5 as mixed number is 53 1/5

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Suppose you construct lines L, M, and N so that L is perpendicular to M and L is parallel to N. which of the following is true.

Blizzard [7]

In the question we are given three lines L,M and N such that:

Line L is perpendicular to M

and line L is parallel to line N

so the option is (C) M is perpendicular N

Step-by-step explanation

We are given three lines L,M and N such that:

Line L is perpendicular to M
Line L is parallel to line N

<u>We know that when one line parallel to the second line and is perpendicular to the third line then the second line is also perpendicular to the third line.</u>

<u></u>

So,the answer is (C) M is perpendicular N

3 0

3 years ago

[Will mark as brainliest]

Aleks04 [339]

The answer is: $f^{-1} = 4x^2-3,\quad\text{for } x \leq 0$

The inverse of a function $f(x)$ is another function, $f^{-1}(x)$ , with the following property:

$f(f^{-1}(x)) = f^{-1}(f(x)) = x$

In other words, the inverse of a function does exactly "the opposite" of what the original function does, and so if you compute them both in sequence you return to the starting point.

Think for example to a function that doubles the input, $f(x)=2x$ , and one that halves it: $f(x)= \frac{x}{2}$ . Their composition is clearly the identity function $f(x)=x$ , since you consider "twice the half of something", or "half the double of something".

In general, to invert a function $y=f(x)$ , you have to solve the expression for $x$ , writing an expression like $x = g(y)$ . If you manage to do so, then $g$ is the inverse of $f$ .

In your case, you have

$f(x) = y = -\frac{1}{2}\sqrt{x+3}$

Multiply both sides by $-2$ to get

$-2y = \sqrt{x+3}$

Square both sides to get

$4y^2 = x+3$

Finally, subtract 3 from both sides to get

$x = 4y^2 - 3$

Since the name of the variables doesn't really have a meaning, you can say that the inverse function is

$f^{-1}(x) = 4x^2 - 3$

As for the domain of the inverse function, remember what we said ad the beginning: if the original function goes from set A (domain) to set B (codomain), then the inverse function goes from set B (domain) to set A (codomain). This means that the inverse function is defined on an element in B if and only if that element belongs to the range of the original function, i.e. the set of the elements of the codomain $b \in B$ such that there exists $a \in A : f(a)=b$ . So, we need the range of $f(x)$ .

We know that the range of $g(x)=\sqrt{x}$ is $[0,\infty)$ . When you transform it to $g(x)=\sqrt{x+3}$ you simply translate the graph horizontally, so the range doesn't change. But when you multiply the function times $-\frac{1}{2}$ you affect both extrema of the range, turning it into $(-\infty,0]$ , which you can simply write as $x \leq 0$

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2 years ago

Which function represents the given graph?

garik1379 [7]

Answer:

where's the graph??

Step-by-step explanation:

I don't know

can I see the graph

4 0

2 years ago

Read 2 more answers

Please help. i need to pass.

FrozenT [24]

Plug 8 for y

8 = 2x + 4

Subtract 4

4 = 2x

Divide by 2

x = 2

Plug 16 for y

16 = 2x + 4

Subtract by 4

12 = 2x

Divide by 2

x = 6

Substitute 20 for y

20 = 2x + 4

16 = 2x

x = 8

Substitute 22 for y

22 = 2x + 4

18 = 2x

9 = x

So the values are 2, 6, 8, 9

5 0

3 years ago

Solve the equation below for c.

tiny-mole [99]

Answer c = (a-b)/d

Step-by-step explanation:

subtract b and divide by d

8 0

3 years ago