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4 years ago

What is the inverse of this function

Mathematics

1 answer:

just olya [345]4 years ago

6 0

G(x) = (25 - x)/5     First lets call g(x) by its other name - y

y = (25 - x)/5         Now switch the x and y

x = (25 - y)/5        Solve for y which is now the inverse - call this $g^{-1}(x)$

5x = 25 - y
y = 25 - 5x      this is the inverse so $g^{-1}(x)$ = 25 - 5x

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Help me with this question <br> Please I need help

34kurt

Answer:

384 cm²

Step-by-step explanation:

The shape of the figure given in the question above is simply a combined shape of parallelogram and rectangle.

To obtain the area of the figure, we shall determine the area of the parallelogram and rectangle. This can be obtained as follow:

For parallelogram:

Height (H) = 7.5 cm

Base (B) = 24 cm

Area of parallelogram (A₁) =?

A₁ = B × H

A₁ = 24 × 7.5

A₁ = 180 cm²

For rectangle:

Length (L) = 24 cm

Width (W) = 8.5 cm

Area of rectangle (A₂) =?

A₂ = L × W

A₂ = 24 × 8.5

A₂ = 204 cm²

Finally, we shall determine the area of the shape.

Area of parallelogram (A₁) = 180 cm²

Area of rectangle (A₂) = 204 cm²

Area of figure (A)

A = A₁ + A₂

A = 180 + 204

A = 384 cm²

Therefore, the area of the figure is 384 cm²

3 0

3 years ago

Convert 8.132132132... to a rational expression in the form of a over b where b ≠ 0.

iogann1982 [59]

Answer:

$\frac{2708}{333}$

Step-by-step explanation:

$0.132132132...=\frac{132}{999}=\frac{44}{333} \\\\8+0.132132132=8+\frac{44}{333}\\\\=\frac{8(333)}{333}+\frac{44}{333}\\\\=\frac{2664}{333}+\frac{44}{333}\\\\=\frac{2708}{333}$

4 0

3 years ago

Fractions what is 1/4 of 8 cars

Liono4ka [1.6K]

Simply divide the 8 cars by the numerator of the fraction 4 to get your answer!

3 0

4 years ago

Read 2 more answers

Let C be between D and E. Solve for x <br> DC = 5x + 8<br> CE = 3x + 5<br> DE = 61

morpeh [17]

DE/2 = 30.5
CE=30.5
DC=30.5

3x + 5 = 30.5
3x = 30.5 - 5
3x = 25.5
25.5/3 =8.5
x=8.5

8 0

3 years ago

An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con

natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

$L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\$

The construction cost now is:

$C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}$

Now, to determine the minimum cost:

$\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}$

$w = \dfrac{88}{3(3)}^{1/3} \ feet$

Now;

$length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet$

$height = ( 88})^{1/3} (3)^{1/3} \ feet$

6 0

3 years ago