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tester [92]
1 year ago
9

Drag each interval to a box to show if the function shown is increasing, decreasing, or neither over that interval. 6 4 10 8 1 t

ry to put which one is decreasing,increasing, or Neither Increasing nor Decreasing

Mathematics
1 answer:
Kitty [74]1 year ago
4 0

Answer:

Function (4 < x < 6) and (8 < x < 10) is decreasing

Function (1 < x < 4) and (6 < x < 8) is increasing

Function (10 < x < 14) is neither increasing nor decreasing

Step-by-step explanation:

The question is incomplete. The complete question has been added as an attachment.

From the graph:

x-axis (horizontal), y-axis (vertical)

Note: moving from negative bigger number to negative smaller number is an increase.

Moving from negative smaller number to negative bigger number is a decrease.

6 < x < 8: on the x-axis, from number +6 to +8, you find on the y-axis the line moved from -7 to -4. That is an increase.

4 < x < 6: on the x-axis, from number +4 to +6, you find on the y-axis the line moved from -3 to -7. That is a decrease.

10 < x < 14: on the x-axis, from number +10 to +14, you find on the y-axis the line moved from -5 to -5. It remained on the same number. It is neither increasing nor decreasing.

8 < x < 10: on the x-axis, from number +8 to +10, you find on the y-axis the line moved from -4 to -5. That is a decrease

1 < x < 4: on the x-axis, from number +1 to +4, you find on the y-axis the line moved from -11 to -3. That is an increase.

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Kelly can read five pages of her fiction book or two pages of her history textbook in seven minutes. If Kelly wants to read thir
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So five pages of her fiction book in 7 minutes. And she must read thirty pages:

30/5 = 6.

6 * 7 = 42 minutes for the fiction book.

So 2 pages of her history book in seven minutes.

30/2 = 15.

15 * 7 = 105 minutes for the history textbook

Add:

42 + 105 = 147 minutes.

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A pair of fair dice is cast. what is the probabiliy that the sum of the numbers falling uppermost is 9, given that at least one
WITCHER [35]
If a pair of fair dice is cast, the probability that the <span>sum of the numbers falling uppermost is 9, given that at least one of the numbers falling uppermost is a 3 is given by:

\frac{P(sum\, of\, 9\, \cup\,3)}{P(3)}

The number of outcomes of sum of 9 where at last one is 3 is (3, 6) and (6, 3) = 2.

</span>The number of outcomes of last one of the numbers falling uppermost is a 3 is (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (1, 3), (2, 3), (4, 3), (5, 3) and (6, 3) = 11.

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5 0
2 years ago
Points H and F lie on circle c What is the length of line segment GH?
Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on  circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2} ......(ΔEGC is a right triangle)

(GC)^{2} = (GE)^{2} +(EC)^{2}

(GH + 9)^{2} = (9)^{2} +(12)^{2}

(GH )^{2} + (9)^{2} + 18GH = 81 + 144

(GH )^{2} + 81 + 18GH = 81 + 144

(GH )^{2} + 18GH = 144

Now, Let GH = <em>x</em>

x^{2} +18x = 144

On rearranging,

x^{2} +18 x - 144 = 0

x^{2} - 6x +24x + 144 = 0

x (x-6) + 24 (x - 6) =0

(x - 6) (x + 24) = 0

So x = 6  and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

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1 year ago
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