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PIT_PIT [208]
3 years ago
9

Which of the following equations have graphs that are parallel to the graph of the equation y=-3/2x+8?

Mathematics
1 answer:
AfilCa [17]3 years ago
6 0
Parallel lines will have the same slope, but different y int
y = -3/2x + 8....slope = -3/2....y int = 8

(I) 3x + 2y = 10
    2y = -3x + 10
    y = -3/2x + 5....slope = -3/2, y int = 5....this IS parallel

(II) 2x - 3y = 9
     -3y = -2x + 9
     y = 2/3x - 3...slope = 2/3, y int = -3....is not parallel

(III) 6x + 4y = 28
       4y = -6x + 28
       y = -3/2x + 7...slope = -3/2, y int = 7....this IS parallel

(IV) 3x - 2y = 8
      -2y = -3x + 8
      y = 3/2x - 4...slope = 3/2...y int = -4...this is not parallel

solution is : I and III
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abruzzese [7]
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7 0
3 years ago
Someone please explain this question PART "b) i" ONLY!!!
Gnom [1K]
<h3>Answer:   (n-1)^2</h3>

This is because we have a list of perfect squares 0,1,4,9,...

We use n-1 in place of n because we're shifting things one spot to the left, since we start at 0 instead of 1.

In other words, if the answer was n^2, then the first term would be 1^2 = 1, the second term would be 2^2 = 4, and so on. But again, we started with 0^2 = 0, so that's why we need the n-1 shift.

You can confirm this is the case by plugging n = 1 into (n-1)^2 and you should find the result is 0^2 = 0. Similarly, if you tried n = 2, you should get 1^2 = 1, and so on. It appears you already wrote the answer when you wrote "Mark Scheme".

All of this only applies to sequence A.

side note: n is some positive whole number.

8 0
3 years ago
Find the interest of a $2,500 loan, with an interest rate of 7% compounded annually over
Ksenya-84 [330]
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3 0
3 years ago
Can anyone help?<br>make sure you simplify
ololo11 [35]

This would be 5^2 because you have to subtract the exponents.

6 0
3 years ago
(picture) Factoring Polynomials: GCF PLEASEE HELP!!!!!
andrezito [222]

GCF is 5m^2 n^2

m^2 has exponent 2  and n^2 has exponent 2

(1) m^5n^5

here there is no 5 so it does not have GCF

(2) 5m^4n^3

m^4 has exponent 4 greater than exponent 2

n^3 has exponent 4 greater than exponent 2

5m^4n^3 have GCF

(3) 10m^4n

10 is 5*2 . it has GCF 5

m^4 has exponent 4 greater than exponent 2

n has exponent 1 less than exponent 2

10m^4n does not have GCF

(4) 15m^2n^2

15 is 3*5 which has GCF 5

m^2 has exponent 2 which is equal to exponent 2

n^2 has exponent 2 which is equal to exponent 2

15m^2n^2 have GCF

(5) 24m^3n^4

24 is 2*2*2*3 does not have GCF

m^3 has exponent 3 greater than exponent 2

n^4 has exponent 4 greater than exponent 4

24m^3n^4 does not  have GCF


6 0
3 years ago
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