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4 years ago

Over which interval is the graph of the parent absolute value function decreasing?

Mathematics

2 answers:

ser-zykov [4K]4 years ago

7 0

Answer:

(-∞, 0)The graph of the parent absolute value function is decreasing over the interval (–∞, 0)

Step-by-step explanation:

yaroslaw [1]4 years ago

5 0

Answer: (-∞, 0)The graph of the parent absolute value function is decreasing over the interval (–∞, 0)
The graph drawn for the absolute value parent function is usually made up of two linear "pieces" which meet at a common vertex (the origin; 0, 0). The graph is symmetric around the y axis and generally takes a V shape or an inverted V shape. The absolute/relative minimum of the graph is 0 but there it has no absolute maximum; so the absolute maximum is usually represented by ‘∞’ (infinitive). Typically, the graph of the parent absolute value function is increasing over the interval (0, ∞), and is decreasing over the interval (-∞, 0).

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Solve the equation: 2x + B= C X=

Angelina_Jolie [31]

Add (-2X) to both sides:
2X + B + (-2X) = C + (-2X)
If we (rearrange) it into B + 2X + (-2X) = C + (-2X)
B + 2X - 2X = C + (-2X)
Since +2X - 2X = 0
B + 0 = C + (-2X)
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4 years ago

Why are you allowed to move the decimal points before dividing with decimals?

nadya68 [22]

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3 years ago

Suppose that in a random selection of 100 colored candies, 26% of them are blue. The candy company claims that the percentage

quester [9]

Answer: a) -0.2252, b) 0.8219

Step-by-step explanation:

Since we have given that

Sample size n = 100

Probability that candies are blue = p= 0.26

Probability that company claims that it is blue candy = P = 0.27

So, Q = 1-P= 1-0.27 = 0.73

So, Null hypothesis : $H_0:p=P$

Alternate hypothesis : $H_1:p\neq P$

So, the test statistic would be

$z=\dfrac{p-P}{\sqrt{\dfrac{P.Q}{n}}}\\\\z=\dfrac{0.26-0.27}{\sqrt{\dfrac{0.27\times 0.73}{100}}}\\\\z=-0.2252$

Since α = 0.05

So, critical value of z = 1.96

p-value = P(Z>Z(calculated)

Using the excel function , we get that

$P(z>0.2252)\\\\=2\times 0.410.911845\\\\=0.8219$

Hence, a) -0.2252, b) 0.8219

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3 years ago

A circle with area 3/2pi and central angle of 60 degrees. What is the area of the circle

Anika [276]

Answer:

28.28(simplified from 28.2743338834)

Step-by-step explanation:

area of sector= (center angle/360)*area of circle

we are already given the area of sector as 3/2pi

3/2pi=(60/360)*x

(x is area of circle)

3/2pi=4.71238898038

4.71238898038=1/6x

divide both sides by "1/6"

28.2743338834=x

hope this helps!

3 0

3 years ago

Question in screenshot answer must be in cm

prisoha [69]

Answer:

30.5 cm

Step-by-step explanation:

0 < h ≤ 10 ⇔ Midpoint = 5

10 < h ≤ 20 ⇔ Midpoint = 15

20 < h ≤ 30 ⇔ Midpoint = 25

30 < h ≤ 40 ⇔ Midpoint = 35

40 < h ≤ 50 ⇔ Midpoint = 45

50 < h ≤ 60 ⇔ Midpoint = 55

⇒ Multiply each corresponding midpoint with it's frequency

(5 × 1) + (15 × 4) + (25 × 7) + (35 × 2) + (45 × 3) + (55 × 3) = 610

⇒ Divide the total of 610 by the frequencies added together

610 ÷ (1 + 4 + 7 + 2 + 3 + 3) = 610 ÷ 20 = 30.5

8 0

3 years ago