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USPshnik [31]
3 years ago
10

Represent the interval where both functions are increasing on the number line provided.

Mathematics
1 answer:
Luda [366]3 years ago
3 0

Answer:

The interval of increasing for both the given functions f((x) and g(x) is given by : (-∞, 4)

Step-by-step explanation:

The function f(x) = |3x| + 3

Since, The modulus function is always increasing so adding 3 to it also increase over the whole number line.

So, The interval of increasing for the function f(x) : (-∞, +∞)

The function g(x) = -x² + 8x - 5

⇒ g'(x) = -2x + 8

To find critical points : g'(x) = 0

⇒ -2x + 8 = 0

⇒ x = 4

So, Intervals of increasing or decreasing are : (-∞, 4) and (4, +∞)

Now, On checking g(x) is increasing on (-∞, 4) and decreasing on (4, +∞)

Hence, The interval of increasing for both the given functions f((x) and g(x) is given by : (-∞, 4)

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Answer:Jim gets £24

Step-by-step explanation:

Let the amount Natasha gets be represented as x

SO that Krutika getting  three times as much as Natasha be represented as 3x

AND Jim getting  twice as much as Krutika  be represented as 2 x 3x=6x

The equation to show how much each gets can be represented as

x + 3x  +6x=40

Solving

x +3x + 6x=40

10x =40

x =40/10 =4

Natasha gets £4

Krutika gets 3x =3x4= £12

Jim gets 6x=6 x4= £24

7 0
3 years ago
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T>12x. the total will be more than x multiplied by 12.
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In the diagram below of circle O, the area of the shaded sector AOC is 12pi in^2 and the length of OA I'd 6 inches. Determine an
blagie [28]
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The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a heigh
expeople1 [14]

Answer:

The correct answer is:

The volume of the triangular prism is equal to the volume of the cylinder

Step-by-step explanation:

Given that there are two figures

1. A right triangular prism and

2. Right cylinder

Area of cross section of prism is equal to Area of cross section of cylinder.

Let this value be <em>A</em>.

Also given that Height of prism = Height of cylinder = <em>6</em>

Volume of a prism is given as:

V_{Prism} = \text{Area of cross section} \times Height

V_{Prism} = A \times 6 ........ (1)

Cross section of cylinder is a circle.

<em>Area of circle</em> is given as: \pi r^{2}

Area of cross section, A = \pi r^{2}

Volume of cylinder is given as:

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From equations (1) and (2) we can see that

V_{Prism}=V_{Cylinder}

Hence, the correct answer is:

Volume of prism is equal to the volume of cylinder.

3 0
3 years ago
What is the measure of x? Help me on this Geometry question.​
AlladinOne [14]

Answer:

21°

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8 0
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Read 2 more answers
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