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3 years ago

Help with 5,6,8 please

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

4 0

5. B, The answer is the only one that is false
6. G, Only reasonable answer
7. D, 3/5 is equivelant to 180/300

Hope this helps :D

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Help me please!

telo118 [61]

Answer:

$f^{-1}(6) = 50$

Step-by-step explanation:

Given

$f(x) = \sqrt{2x} - 4$

Required

Find $f^{-1}(6)$

First, we calculate the inverse function

$f(x) = \sqrt{2x} - 4$

Express f(x) as y

$y = \sqrt{2x} - 4$

Swap the positions of x and y

$x = \sqrt{2y} - 4$

Solve for y: Add 4 to both sides

$4 + x = \sqrt{2y} - 4+4$

$4 + x = \sqrt{2y}$

Square both sides

$(4 + x)^2 = 2y$

Divide both sides by 2

$y = \frac{(4 + x)^2}{2}$

Express y as an inverse function

$f^{-1}(x) = \frac{(4 + x)^2}{2}$

Next, solve for: $f^{-1}(6)$

Substitute 6 for x

$f^{-1}(6) = \frac{(4 + 6)^2}{2}$

$f^{-1}(6) = \frac{(10)^2}{2}$

$f^{-1}(6) = \frac{100}{2}$

$f^{-1}(6) = 50$

7 0

2 years ago

Elisa is writing an algebraic expression for the phrase 5 less than a number

Alekssandra [29.7K]

The algebraic expression can be written as
x-5.

3 0

3 years ago

The area of a gymnasium is (27x + 18) square units. Factor 27x + 18 to find possible dimensions of the gymnasium.

Veronika [31]

Answer:

Dimension of gymnasium= 9 units and (3x+2) units.

Step-by-step explanation:

We have been given the area of a gymnasium is $27x+18$ square units. We are asked to find possible dimensions of gymnasium by factoring our given expression for area of gymnasium.

Let us factor our greatest common factor of our given expression. We can see that 9 is the GCF of our given expression.

$(9\times 3x+9\times 2)$

Upon factoring out 9 from our given expression we will get,

$9(3x+2)$

Therefore, the possible dimensions of the gymnasium will be 9 units and (3x+2) units as we will get the same area for gymnasium by multiplying these both dimensions.

8 0

2 years ago

Read 2 more answers

C) If C.P. = Rs 660, loss percent = 5% find S.P.

timurjin [86]

Answer:

Hope this solution helps you