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3 years ago

URGENT 100 points

Mathematics

2 answers:

Lerok [7]3 years ago

8 0

Answer:

see below

Step-by-step explanation:

Part A

We know the slope is change in y over change in x

m = (y2-y1)/(x2-x1)

m = ( 475 - 325)/(10 -0)

= 150 /10

= 15

The slope is the change in the bank balance per day

The balance is increasing 15 dollars per day

Part B

point slope is y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

We can use any point

y - 400 = 15(x-5)

y = mx+b is slope intercept

The slope ,m, is 15 and the y intercept is 325

y = 15x+325

standard form is ax+by =c

y = 15x+325 where a>0 and a,b,c are integers

-15x +y = 325

15x -y = -325

Part C

function notation is replacing y with f(x)

f(x) = 15x+325

Part D

Let x = 12

f(12) = 15*12 +325

=180+325

= 505

mars1129 [50]3 years ago

4 0

Answer:

see below

Step-by-step explanation:

Part A

We know the slope is change in y over change in x

m = (y2-y1)/(x2-x1)

m = ( 475 - 325)/(10 -0)

= 150 /10

= 15

The slope is the change in the bank balance per day

The balance is increasing 15 dollars per day

Part B

point slope is y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

We can use any point

y - 400 = 15(x-5)

y = mx+b is slope intercept

The slope ,m, is 15 and the y intercept is 325

y = 15x+325

standard form is ax+by =c

y = 15x+325 where a>0 and a,b,c are integers

-15x +y = 325

15x -y = -325

Part C

function notation is replacing y with f(x)

f(x) = 15x+325

Part D

Let x = 12

f(12) = 15*12 +325

=180+325

= 505

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Alinara [238K]

Answer: 7, 2, 1, 5, 6, 4, 8

Step-by-step explanation:

1. Then, 3n+4=3(2k+1)+4=6k+7=2(3k+3)+1.

2. By definition of odd, there exists integer k such that n=2k+1.

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4. Therefore, by definition of odd, 3n+4 is odd.

5. Since k is an integer, t =3k+3 is also an integer.

6. Thus, there exists an integer t such that 3n+4=2t+1.

7. Suppose n is odd.

8. Thus, if n is odd then 3n+4 is odd or by contraposition, if 3n+4 is even then n is even, .

N 9. Suppose 3n+4 is even.

N 10. By definition of odd, n=2k+1.

Right order:

7. Suppose n is odd.

2. By definition of odd, there exists integer k such that n = 2k+1.

1. Then, 3n+4 = 3(2k+1)+4 = 6k+7 = 2(3k+3)+1.

5. Since k is an integer, t = 3k+3 is also an integer.

6. Thus, there exists an integer t such that 3n+4 = 2t+1.

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3 years ago

. A garden measuring 12 m by 16 m is to have a pedestrian pathway that is ???????? meters wide installed all the way

Radda [10]

Answer:

1.5m

Step-by-step explanation:

Let the length of the pathway across all its side be x. This means we are adding a length of 2x to both the length and breadth to 12+2x and 16+2x respectively.

The new area thus becomes:

(12+2x)(16+2x) = 285

24x + 32x + 192 + 4x^2 = 285

4x^2 + 56x + 192 = 285

4x^2 + 56x + 192 - 285 =0

4x^2 + 56x -93 = 0

4x^2 + 62x - 6x - 93 = 0

2x( 2x + 31) - 3(2x + 31) = 0

(2x - 3)(2x + 31) = 0

This means x = 3/2 or -31/2

Since length cannot be negative , we choose the first and neglect the second meaning our answer is 3/2 which is 1.5 meters

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2 years ago

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Dovator [93]

Answer:

9 1/3

Step-by-step explanation:

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Knowing this, all you have to do is divide the numbers normally as positive numbers and then add a negative sign at the end.

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The reciprocal is just the "flipped" version of a fraction.

For example, the reciprocal of 3/4 would be 4/3.

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3 years ago

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wariber [46]

2x−1≤x5

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3 years ago

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LekaFEV [45]

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