Which graph represents a function, f(x) that has a slope of 3 units and f(0) = 14?

Thank you for helping me so much I appreciate you a lot

lara [203]

Answer:

Answers bolded below

Step-by-step explanation:

PAGE 1

20.) 142 + 24 + 2x - 50 = 180 (collect like terms)

116 + 2x = 180 (subtract 116 on both sides)

2x = 64 (divide by 2x on both sides)

x = 32

21.) 40 + 80 + 5m = 180 (collect L.T.'s)

120 + 5m = 180 (subtract 120 on both sides)

5m = 60 (divide by 5 on both sides)

m = 12

PAGE 2

10.) <T

11.) CA

12.) ^CAB

13.) UV

14.) m<A = m<T = 66

15.) B, C, A

PAGE 3

16.) ^BAD = ^DCB

17.) ^GFH = ^KJH

18.) x = 7 and y = 8

10x + 65 = 135

10x = 70

x = 7

4y - 4 = 28

4y = 32

y = 8

19.) b = 13 and n = 13

5b - 3 = 62

5b = 65

b = 13

4n - 4 = 48

4n = 52

n = 13

PAGE 4

1.) <A = <D, <B = <E, <C = <F

2.) AB = DE, CB = FE, FD = CA

3.) CAB = FDE, EFD = BCA, BAC = EDF

4.) m<P =105

5.) m<M = 45

6.) m<R = 30

7.) m<N = 30

8.) QR = MN

9.) LN = PR

Hope this helps ya!!

4 0

3 years ago

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t

Leokris [45]

Answer:

50n

Step-by-step explanation:

This problem can be solved using concept of Arithmetic progression(AP)

In AP series

the series increases or decreases by certain number which is called common difference.

common difference d is given by

d= nth term - (n-1)th term

nth term = a + (n-1)d

where a is the first term of the series

thus series can be a , a+d, a+2d, a+3d, a+4d, ...........a + (n-1)d

_______________________________________

Given series

50, 100, 150, 200

a = 50

to find d lets use 3rd term as nth term and 2nd term as (n-1)th term

d = 150 -100 = 50

Thus,

nth term = 50 + 50(n-1) = 50 + 50n -50 = 50n

50n can represent the position of the term of the sequence.

To validate this lets put n = 4

50*4 = 200 which is the same as the fourth term given in the series.

hence our solution is correct.

4 0

3 years ago

What theorem or postulate can be used to justify that AHIG EAFIE?

Scilla [17]

Answer:

ASA

Step-by-step explanation:

There is an included side in between both angles in each triangle.

I hope this helps you out, and as always, I am joyous to assist anyone at any time.

4 0

3 years ago

A store has clearance items that have been marked down by 60%. They are having a sale, advertising an additional 15% off clearan

astra-53 [7]

Answer: 34%

Step-by-step explanation:

Given

Price is marked down by 60% with an additional discount of 15% on the marked down price

Suppose x is the original price of the item

After marking down, it is

$\Rightarrow x-x\times 0.6=0.4x$

after additional discount it is

$\Rightarrow 0.4x(1-0.15)=0.4x\times 0.85=0.34x$

Effective discount on the item is

$\Rightarrow \dfrac{x-0.34x}{x}\times 100=66\%$

Thus, a person is paying $100-66=34\%$ of the original price

6 0

3 years ago

A scuba diver diving with an 80 cubic foot tank of air, needs to resurface when his air in the

Burka [1]

At sea level atmospheric pressure is 1 bar absolute (1 standard atmosphere =101 kPa=1.013 bars). The weight of the atmosphere exerts a pressure which will support a column of water 10 m high; 10 m under water the pressure on a diver is 200 kPa. The volume of gas in an early diving bell full of air at sea level is halved at 10 m according to Boyle’s law; at 20 m pressure is 300 kPa absolute and the gas is compressed into one third the volume.

Dry air is composed of roughly 21% oxygen, 78% nitrogen, and 1% other gases. According to Dalton’s law the partial pressure of oxygen at any depth will be 21% of the total pressure exerted by the air and the partial pressure of nitrogen will be 78% of total pressure.

Gases dissolve in the liquid with which they are in contact. Nitrogen is fat soluble and at sea level we have several litres dissolved in our bodies. If the partial pressure of nitrogen is doubled (by breathing air at 10 m depth) for long enough for equilibration to take place we will contain twice as many dissolved nitrogen molecules as at sea level.

6 0

3 years ago