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kkurt [141]
3 years ago
14

What is the inverse of the function H(x)=3/4x+12

Mathematics
1 answer:
Mrac [35]3 years ago
3 0

Answer:

h^{-1}(x) = \frac{4x-48}{3}

Step-by-step explanation:

let y = h(x) and rearrange making x the subject, that is

y = \frac{3}{4} x + 12 ( multiply through by 4 to clear the fraction )

4y = 3x + 48 ( subtract 48 from both sides )

4y - 48 = 3x ( divide both sides by 3 )

\frac{4y-48}{3} = x

Change y back into terms of x, thus

h^{-1} (x) = \frac{4x-48}{3}

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To find 19 + (11+37), Lennie added 19 and 11. Then he added 37 to the sum. What property did he use ?
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2 years ago
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I need help with this question!
34kurt
The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.


1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
8 0
3 years ago
The perimeter of a rectangle is about 13.9 cm. If you double the width of the rectangle the perimeter is about 17.8 cm. Find the
fredd [130]

Answer:

5cm by 1.95cm

Step-by-step explanation:

Let the length of the rectangle be x

Let the width be y

Perimeter of a rectangle = 2x + 2y

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13.9 = 2x + 2y ..... 1

If when the width is double the perimeter is 17.8cm, then;

17.8 = 2x + 4y ..... 2

Subtract 1 from 2;

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y = 3.9/2

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Substitute y = 1.95 into 1 to get x;

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2x = 13.9-3.9

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x = 5 cm

Hence the dimension of the smaller triangle is 5cm by 1.95cm

7 0
2 years ago
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