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denis23 [38]
3 years ago
12

The positive integer k has exactly two positive prime factors, 3 and 7. if k has a total of 6 positive factors, including 1 and

k, what is the value of k ?
Mathematics
1 answer:
Sav [38]3 years ago
5 0
I think there are two solutions, 63 or 147:

63 = 3² x 7, factors  1 | 3 | 7 | 9 | 21 | 63<span>
147 = 3 x 7</span>², factors 1 | 3 | 7 | 21 | 49 | 147
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There are 52 birds and acts in the store. For the same animals Kia counts 138 legs. How many birds and cats are in the pet store
KiRa [710]
Let's represent birds by the letter x and cats by the letter y. Since birds have 2 legs, and cats have 4, we can express this as:
138 = 2x + 4y
52 = x+y

We can solve by substitution. Let's solve for x in the second equation:
x = 52-y

Replace every x in the first equation by that:
138 = 2(52-y)+4y
138 = 104-2y+4y
138 = 104 + 2y
34 = 2y
y = 17

Now, plug that in for y in second equation and solve for x:
52 = x + 17
x = 35

Since x was the number of birds and y was the number of cats in the store, there are 35 birds and 17 cats in the store.
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4 years ago
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The answer is
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7 0
3 years ago
Determine whether the given binomial is a factor of the polynomial P(x).
Mamont248 [21]
No, it is not a factor of P(x)=5x^{3} + X^{2} -7 because when I used synthetic division, I got 37 as a remainder which means that (x-2) is not a factor. The remainder should be zero for it to be a factor.
7 0
3 years ago
At 8 AM the temperature was 3 degrees below zero. By 9 AM the temperature had gone up 6 degrees, but by 10
Vedmedyk [2.9K]

Answer:

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7 0
3 years ago
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Y=x^2+2x+1 find the vertex
Bess [88]
I'm going to put this into vertex form, which is y=a(x-h)^2+k

To do this, you use completing the square. Start by subtracting 1 from each side

-1+y=x^2+2x

Then, divide b (2) by 2 and square it. Add that number to each side. (normally when you complete the square, you take out the gcf of the right side of the equation before you do this. Then, you would multiply (b/2)^2 by the gcf before adding it to the left side. Since there is no gcf, we do not have to worry about this)

2/2=1
1^2=1
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Next, simplify the left side and factor the right side.

y=(x+1)^2

This is vertex form. a=1, h=-1, and k=0

The vertex is (h,k) so it is (-1,0)

hope this helps!
7 0
4 years ago
Read 2 more answers
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