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3 years ago

Simplify 2•a•b•a•b help needed pleasee

Mathematics

1 answer:

tresset_1 [31]3 years ago

6 0

Answer:

$2 a^{2} b^{2}$

Step-by-step explanation:

Step 1: The given expression is 2·a·b·a·b.

Dot represents multiplication.

Step 2: To simplify the expression, arrange like terms into one group

2·a·b·a·b = 2·(a·a)·(b·b)

Step 3: Law of exponents: $x^{m} \cdot x^{n}=x^{m+n}$

Using the law of exponents formula, we get

2·(a·a)·(b·b) = $2 a^{(1+1)} b^{(1+1)}$

= $2 a^{2} b^{2}$

Therefore, 2·(a·a)·(b·b) = $2 a^{2} b^{2}$

Hence, the simplified form of 2·(a·a)·(b·b) is $2 a^{2} b^{2}$ .

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For the function y=x^2-4x-5, perform the followingtasks:

lbvjy [14]

Answer:

a. $x^2-4x-5= \left(x-2\right)^2-9$ .

b. The axis of symmetry for ${\left(x - 2\right)^{2}} - 9$ is $x=2$ .

Step-by-step explanation:

a. The vertex form of a quadratic is given by $y=a(x-h)^2+k$ , where (h, k) is the vertex.

To convert from $y=x^2-4x-5$ form to vertex form you use the process of completing the square.

Step 1: Write $x^2-4x-5$ in the form $x^2+2ax+a^2$ . Add and subtract 4:

$x^{2} - 4 x - 5=x^{2} - 4 x + {\left(4\right)} - {4} - 5$

Step 2: Complete the square $x^2+2ax+a^2=\left(x+a\right)^2$

${\left(x^{2} - 4 x + 4\right)} - 9={\left(x - 2\right)^{2}} - 9$

b. The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.

For a quadratic function in standard form, $y=a(x-h)^2+k$ , the axis of symmetry is $x=h$ .

The axis of symmetry for ${\left(x - 2\right)^{2}} - 9$ is $x=2$ .

Look at the graph shown below.

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3 years ago

A salesman priced a four wheeler at $3,500 the first day it was on the market. The second day he reduced the price by 10%. What

Karo-lina-s [1.5K]

Answer:

$3,150

Step-by-step explanation:

To find the sale price, multiply the original price ($3,500) by 0.90. This 0.90 comes from subtracting 10% from 100% and converting the result to the decimal fraction 0.90.

0.90($3,500) = $3,150

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3 years ago

How many cups of 3/4 onions are needed to make 20 servings of soup?

kolbaska11 [484]

Answer:

15 cups of onions for 20 servers of soup.

Step-by-step explanation:

for this question I did 3/4*20 to get 15.

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3 years ago

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