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Inessa05 [86]
4 years ago
8

Translate this problem to an equation and solve. The product of 2 positive consecutive even integers is 48. What is the smaller

number?
Mathematics
1 answer:
bonufazy [111]4 years ago
8 0
Let x represent the first even integer: x = 2(k) → y = 2k
Let y represent the second even integer: y = 2(k + 1)  → y = 2k + 2

   x  ·     y        = 48
(2k) · (2k + 2) = 48
 4k² + 4k - 48  = 0
 4(k² + k - 12)  = 0
4 (k + 3)(k - 2) = 0
k = -3, k = 2  (Note: POSITIVE integers so k = -3 is ruled out)

x = 2k → x = 2(2) → x = 4
y = 2(k + 1) → y = 2(2 + 1) → y = 2(3) → y = 6

The smaller number (x) is 4
        


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Wendy is paid $12 per hour and plans to work between 30 and 25 hours per week identify the independent and dependent quantity in
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3 years ago
How do I solve for the missing angle?!<br>And please include explanations​ on how you got the answer
Nadusha1986 [10]

Answer:

75°

Step-by-step explanation:

In triangle FBG, one angle is 36.  That means the other two must total 180-36=144.  Assigning each one 72, their supplementary angle on the interior of the pentagon would be 108.

In triangle JDI, one angle is 39.  That means the other two must total 180-39=141.  Assigning each one 70.5, their supplementary angle on the interior of the pentagon would be 109.5

We now have 4 of the interior angles.  Pentagons have an interior total of 540.  540-108-108-109.5-109.5=105

x is the supplement of 105.  180-105=75

5 0
3 years ago
Find the first 3 iterations using f(x)=3x if you have an initial value of 1 show work
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Answer:

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<em>Iteration 1.</em>

f(x=1)=3*(1)

f(x=1)=3

<em>Iteration 2.</em>

f(x=2)=3*(2)

f(x=2)=6

<em>Iteration 3.</em>

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f(x=3)=9

7 0
3 years ago
Vector a = 3i + mj, vector b = 2i - nj and vector c = ni + 8j. If a and b is perpendicular to each other and b and c are paralle
Tatiana [17]

May be you know it or not a two dimensional vector can be represented by a complex number.Why i have written this statement you will just know when you will see its solution

a = 3i + mj and  b = 2i - nj are perpendicular to each other ,so their dot product

will be zero.

i.e a.b = 0\\(3i + mj) .(2i - nj)=0\\6-mn=0\\mn=6j

vector b = 2i - nj and vector c = ni + 8j are parallel to each other.2i - nj = k (ni + 8j)2/n = -n/8n^{2} =-16n=4ij

mn = 6

so m=6/4i

m=3/2i

m=3i^{4}/2i

m = 3i^{3}/2

m= -3i/2 as(i^{4} =1, i^{3} = -i[/tex][/tex]

8 0
3 years ago
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Answer:

no

Step-by-step explanation:

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