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Amanda [17]
3 years ago
10

Factor out the greatest common factor -5x^2 - 5x^3 - 15x^4

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0
Our answer is -5x^{2} (3x^{2} +x+1)

Our greatest common factor, or GCF, is -5x^{2}, so when we factor is out, our divide each term by -5x^{2}, we get our answer. To check this, we can multiply the -5x^{2} back across the parenthesis and see if we get the same result as our initial question.

Hope this helped! :))
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Plz any1 need help on this question
Andreas93 [3]

Since the intersection is - by definition - common to both sets, we can work out the number of people that use only the fitness suite or the swimming pool.

We know that 57 people use the fitness suite, but 36 of those are already counted in the intersection. So, 57-36=21 people use only the fitness suite.

The same goes for the swimming pool: 49-36=13 people use only the swimming pool.

So, we have:

  • 21 people using fitness suite only
  • 13 people using swimmng pool only
  • 36 people using both

This sums to 21+13+36=70 people. We deduce that 30 people don't use any of the features.

6 0
3 years ago
Dicriminant of x² – 49 = 0
Mama L [17]

Answer:

196

Step-by-step explanation:

The discriminant (Δ) is given by:

\Delta = b^2-4ac

Where the polynomial is in the form:

ax^2+bx+c=0

In this problem, a = 1, b = 0, and c = -49. Thus, plugging it into the formula:

\Delta = 0^2-4(1)(-49) = -(-196) = 196

Thus, the discriminant of x² – 49 = 0 is 196.

6 0
3 years ago
Solve the equation by factoring.<br> x² + 2x - 63 = 0<br> x = -9, [?]
xeze [42]

Step-by-step explanation:

x² + 2x - 63 = 0

(x+9)(x-7)=0

x=-9 x=7

7 0
10 months ago
Solve the following question, 4(c+2)= -28. Show all your work.
scZoUnD [109]
<span>4(c+2)= -28
Use distributive property
4c+8=-28
Subtract 8 from both sides
4c=-36
Divide 4 on both sides
Final Answer: c=-9</span>
8 0
3 years ago
Read 2 more answers
I need help ASAP!!
Studentka2010 [4]

Answer:

  D.  (x-5)^2 = 36

Step-by-step explanation:

If you add 11 to the given equation, you get ...

  x^2 -10x = 11

Then you can add the square of half the x-coefficient to complete the square.

  x^2 -10x +25 = 11 +25

  (x -5)^2 = 36 . . . . simplify to the appropriate form

5 0
3 years ago
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