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likoan [24]
4 years ago
10

Jim was given three functions and asked to determine ƒ + (g ○ h). The functions were ƒ (x) = x2, g(x) = 3x + 1, and h(x) = 2x. J

im started by writing the problem as (ƒ + (g ○ h))(x) = x2 + 2(3x + 1). What was Jim's mistake? What is the correct solution? A. Jim omitted the x in h(x); (ƒ + (g ○ h)) = 7x2 + 2x. B. Jim should have added ƒ and g first; (ƒ + (g ○ h)) = 4x2 + 6x + 1. C. Jim incorrectly performed h ○ g instead of g ○ h; (ƒ + (g ○ h)) = x2 + 6x + 1. D. Jim did not follow the order of operations; (ƒ + (g ○ h)) = x2 + 6x + 2.
Mathematics
1 answer:
melisa1 [442]4 years ago
8 0

Answer:

3x+2x+2x=7*2

7x=14

x=14/7

x=2

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AB = 3 + x
ICE Princess25 [194]

The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.

<u>Step-by-step explanation</u>:

ABCD is a quadrilateral with their opposite sides are congruent (equal).

The both pairs of opposite sides are given as AB = 3 + x , DC = 4x , AD = y + 1 , BC = 2y.

  • AB and DC are opposite sides and have same measure of length.
  • AD and BC are opposite sides and have same measure of length.

<u>To find the length of AB and DC :</u>

AB = DC

3 + x = 4x

Keep x terms on one side and constant on other side.

3 = 4x - x

3 = 3x

x = 1

Substiute x=1 in AB and DC,

AB = 3+1 = 4

DC = 4(1) = 4

<u>To find the length of AD and BC :</u>

AD = BC

y + 1 = 2y

Keep y terms on one side and constant on other side.

2y-y = 1

y = 1

Substiute y=1 in AD and BC,

AD = 1+1 = 2

BC = 2(1) = 2

Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.

6 0
3 years ago
Is anyone good with triangle inequalities? I provided a picture for the problem.
alisha [4.7K]

Answer:

1 < x < 19

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

We are given the measures y=10, z=9. The third side must satisfy:

10 - 9 < x < 10 + 9

1 < x < 19

3 0
3 years ago
Please help me solve this..<br>​
Naddik [55]

Answer:

X<7. Graph 7. Then put a open circle and arrow it going left! And there you go.

Step-by-step explanation:

Add 18 to both sides. Since -2x has a negative, you flip the sign to less than instead of greater than.

7 0
3 years ago
The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 1600 vo
Arturiano [62]

Answer:

Test statistic = -2.44

There is enough evidence to support the strategist's claim.

Step-by-step explanation:

H0 : p = 0.41

H1 : p < 0.41

pˆ = 0.38

Test statistic :

z=pˆ−p/√p(1−p)/n

Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600

Z = - 0.03 / √0.0001511875

Z = - 0.03 / 0.0122958

Z = - 2.4399

Test statistic = -2.44

The Pvalue :

P(Z < -2.44) = 0.0073436

α - level = 0.02

If Pvalue < α ; Reject H0

0.0073436 < 0.02 ; We reject H0

Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.

8 0
3 years ago
A company has two manufacturing plants with daily production levels of 5x+11 items and 2x-3 ​items, respectively. The first plan
Elan Coil [88]

Answer:

alr 5x+11 and 2x-3

5x+11=16x

2x-3=-1x

Step-by-step explanation:

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4 0
3 years ago
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