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kirill [66]
3 years ago
9

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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Put the following statements into order to prove that if 3n+4 is even then n is even. Put N next to the 3 statements that should
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.

N 3. Thus, if n is odd then 3n+4 is odd or by contradiction, if 3n+4 is even then n is even, .

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.

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

4 0
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

4 0
2 years ago
Help help help help!!!!!
Dovator [93]

Answer:

9 1/3

Step-by-step explanation:

As you may know, when you divide a positive number by a negative number, the quotient (result of the division) is negative.

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

To divide fractions, you change the sign to multiplication and multiply the first number by the reciprocal of the second number.

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

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

In this problem, you can't reduce.

So, just multiply the top numbers and do the same with the bottom numbers.

That would be \frac{35*4}{5*3}.

35*4=140 and 5*3=15.

The fraction would be 140/15

You can divide 140 by 15, which would be 9 and 1/3

6 0
3 years ago
Solve the following equation. 2x - 1 ≤ x 5
wariber [46]

<span><span><span>2x</span>−1</span>≤<span>x5

</span></span>Let's find the critical points of the inequality.

<span><span><span>2x</span>−1</span>=<span>x^5

</span></span><span><span><span><span>2x</span>−1</span>−<span>x^5</span></span>=<span><span>x^5</span>−<span>x^5 </span></span></span>(Subtract x^5 from both sides)

<span><span><span><span>−<span>x^5</span></span>+<span>2x</span></span>−1</span>=0

</span><span><span><span>(<span><span>−x</span>+1</span>)</span><span>(<span><span><span><span><span>x^4</span>+<span>x^3</span></span>+<span>x^2</span></span>+x</span>−1</span>)</span></span>=0  </span>(Factor left side of equation)

<span><span><span><span>−x</span>+1</span>=<span><span><span><span><span><span>0<span> or </span></span><span>x^4</span></span>+<span>x^3</span></span>+<span>x^2</span></span>+x</span>−1</span></span>=0   </span>(Set factors equal to 0)

<span><span><span>x=<span><span>1<span> or </span></span>x</span></span>=<span><span>0.51879<span> or </span></span>x</span></span>=<span>−<span>1.290649</span></span></span>
5 0
3 years ago
PLEASE HEL MUST BE DONE URGENTLY
LekaFEV [45]
Y = x + 2 is closest to what I believe is the solution.

If the club begins with 2 members, then +2  MUST appear in the formula.

If the club adds 2 members every week, then the total number of members would be

f(x) = y = 2 + 2(x-1), where x is the number of weeks.

Test this:  If x = 1, then y = 2+2(1-1) = 2 + 0  = 2.  This is correct.  The club began with 2 members in week 1

8 0
2 years ago
Read 2 more answers
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