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never [62]
3 years ago
8

What is the sum of (2 – 8x2 – 15) and (2 + 12x – 3x)?

Mathematics
1 answer:
lys-0071 [83]3 years ago
5 0

Answer: (2 - 8x2 - 15) = -29/1 = -29

              (2 + 12x - 3x) = 0

(2 + 12•x - 3•x) = 0

9x = -2

x = -2/

9

≈ -0.222222

Step-by-step explanation:

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A random sample of cats at the SPCA shows that 25 out of the 40 cats are kittens. There are a total of 800 cats at all the anima
Alinara [238K]

Answer: The number of kittens= 500.

Step-by-step explanation:

Given, A random sample of cats at the SPCA shows that 25 out of the 40 cats are kittens.

i.e. ratio of kitten to cats =\dfrac{25}{40}=\dfrac{5}{8}

We assume that , the ratio will remains same.

Let x be the number of kitten out of 800 , then we have

\dfrac{x}{800}=\dfrac{5}{8}\\\\\Rightarrow\ x=\dfrac{800\times5}{8}=500

Hence, the number of kittens out of 800 cats= 500.

7 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Rewrite the fol
never [62]
  • Vertex Form: y = a(x - h)^2 + k, with (h,k) as the vertex.

To convert it into vertex form, we are going to be completing the square. Firstly, subtract 56 on both sides: y-56=2x^2-32x

Next, factor out the GCF, or greatest common factor, of the right side. To find the GCF, list the factors of both terms and the greatest one they share is their GCF. In this case, the GCF is 2: y-56=2(x^2-16x)

Next, we want to make what's inside the parentheses a perfect square. To find the constant of the perfect square, divide the x term by 2 and square the quotient. In this case:

-16 ÷ 2 = -8, (-8)² = 64

So you're gonna have to add 64 to the inside of the parentheses. To cancel this out, you will need to add to the other side the product of 64 and 2 (since 64 is inside the parentheses), which is 128: y+72=2(x^2-16x+64)

Next, factor the polynomial inside the parentheses: y+72=2(x-8)^2

Next, subtract 72 on both sides and your vertex form is y=2(x-8)^2-72

Now looking at this vertex form, the vertex is (8,-72), which means that <u>the x-coordinate of the vertex is 8.</u>

6 0
3 years ago
I’m confuse plz help
Ad libitum [116K]

Answer:

As in an equilateral triangle all sides are equal so 9+3x = 5x-5

9+3x = 5x-5

9+5 = 5x-3x

14 = 2x

14/2 = x

7= x

So,As we know that x is 15 so we can substitute the values 9+3x or 5x-5

9+3x

=9+3*7

=30

So, one side of the triangle = 30

Perimeter of an equilateral triangle = 3*side

=3*30 = 90

So, perimeter of the equilateral triangle = 90

6 0
3 years ago
X^2-9x=x-9 solve by factoring
lbvjy [14]
(x-1)(x-9)
Hope this helps
8 0
3 years ago
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sammy [17]

Answer:

Step-by-step explanation:

7 0
2 years ago
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