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lozanna [386]
3 years ago
11

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Rewrite the fol

lowing equation in the form y = a(x - h)2 + k. Then, determine the x-coordinate of the minimum. y = 2x2 - 32x + 56
Mathematics
1 answer:
never [62]3 years ago
6 0
  • 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>

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a+b+2

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An oil spill spreads 25 square meters every 16
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First, divide 2 and 16 and you get 8 then, multiply 25 times 8. I think.

4 0
3 years ago
Cada caja contiene el mismo número de cuadernos. Si Mario transporta 120 cuadernos en total en una carretilla, ¿cuántos cuaderno
DIA [1.3K]

Answer:

Se almacena un cuaderno por caja, significando 120 cuadernos en 120 cajas iguales.

Step-by-step explanation:

A partir del enunciado, podemos calcular el número de cuadernos por caja al dividir el total de cuadernos en la carretilla por el número de cajas disponibles.

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Se almacena un cuaderno por caja, significando 120 cuadernos en 120 cajas iguales.

3 0
3 years ago
The perimeter of the rectangle is 146 units. What is the length of the longer side?
NeTakaya

we know that

the perimeter of the rectangle is equal to

P=2W+2L

where

P is the perimeter of the rectangle

W is the width of the rectangle

L s the length of the rectangle

In this problem

P=146\ units \\ W=2x\\ L=3x+3

Substitute the values in the formula above

P=2W+2L\\ 146=2*(2x)+2*(3x+3)\\ 73=2x+3x+3\\ 5x=70\\ x=14\ units

W=2x=2*14=28\ units\\ L=3x+3=3*14+3=45\ units

therefore

the answer is

the length of the longer side of the rectangle is equal to 45\ units

7 0
3 years ago
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Answer:

Concepts: Mathematical Understanding

  1. (a,b) is an ordered pair just like (x,y)
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8 0
3 years ago
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