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lara [203]
3 years ago
12

Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3.

Mathematics
1 answer:
natulia [17]3 years ago
8 0
f(x)=4(x+3)-5 \\ f(x)=4x+12-5 \\ f(x)=4x+7 \\ \\
\hbox{solve for x:} \\
y=4x+7 \\
y-7=4x \\
x=\frac{y-7}{4} \\ \\
\hbox{swap x and y:} \\
y=\frac{x-7}{4} \\ \\
f^{-1}(x)=\frac{x-7}{4} \\
f^{-1}(3)=\frac{3-7}{4}=\frac{-4}{4}=-1 \\
\boxed{f^{-1}(3)=-1}
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What is the volume of this triangular prism? A triangular prism. The triangular base has a base of 28 centimeters and height of
mamaluj [8]

Answer:

The volume of the triangular prism is 5676.16 cm³

Step-by-step explanation:

The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.

Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'

V = Ah' where h = height of prism = 18.1 cm

So, V = bhh'/2

Substituting the values of the variables into the equation for V, we have

V = bhh'/2

V = 28 cm × 22.4 cm × 18.1 cm/2

V = 14 cm × 22.4 cm × 18.1 cm

V = 5676.16 cm³

So, the volume of the triangular prism is 5676.16 cm³

3 0
2 years ago
Read 2 more answers
Please help!!! Find the equation for all 4!!! It needs to be <br> Y=mx +b
emmainna [20.7K]
1) y= 2/5x -3
2) y= 2/3x + 1
3) y= 2x -1
4) y= 5/4x + 3
I think
7 0
2 years ago
12.41 less than the product of 42 and x
11Alexandr11 [23.1K]
12.41 less than the product of 42 and x

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7 0
2 years ago
A circle's circumference is approximately 44 cm.
Sav [38]
<h3>Answers</h3><h3>diameter = 14</h3><h3>radius = 7</h3><h3>area = 154</h3>

these are all approximate

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

Explanation:

C = pi*d is the formula for the circumference. We know that C = 44 approximately, so,

C = pi*d

d = C/pi

d = 44/3.14

d = 14.01 approximately

d = 14 also approximate

take half of this to get the radius

r = d/2 = 14/2 = 7

Then use this radius to find the circle's area

A = pi*r^2

A = 3.14*7^2

A = 153.86

A = 154  rounding to the nearest whole number

7 0
3 years ago
42x + 12 * 18 = 468<br><br> What does x equal
3241004551 [841]
X equals 6

How? Well first I multiplied 12 x 18 which is 216.

Then I subtracted 468 - 216 that equals 252.

Because I know that 2 x 6 equals a 12.....x had to be a 6.

So I multiplied 42 x 6 and it equaled 252.

So x is 6

3 0
2 years ago
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