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sdas [7]
3 years ago
5

The least common denominator that can be used to add and is 24x2. What value of b is needed to rewrite the first fraction with t

he LCD?

Mathematics
2 answers:
Katarina [22]3 years ago
6 0
3 is the answer to the question.
Whitepunk [10]3 years ago
3 0

\frac{x+1}{8x^2} and \frac{2x-3}{12x}

LCD is 24x^2

we need to find out b when multiply with first fraction to get 3x+3/24x^2

\frac{x+1}{8x^2} (\frac{b}{b}) =\frac{3x+3}{24x^2}

We need to find out a number what multiply with 8x^2 to get 24x^2

8x^2 * 3 = 24x^2

\frac{x+1}{8x^2} (\frac{3}{3}) =\frac{3(x+1)}{24x^2}=\frac{3x+3}{24x^2}

So the value of b is 3

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Help asap!<br><br> Thanks in advance!<br><br> There's two questions btw:)
lutik1710 [3]

Answer:

[1].

Option A and D are correct.

[2].

Option A is correct

Step-by-step explanation:

[1].

Quadratic function states that it is an equation of second degree i.,e it contains at least one term that is squared.

The standard form of the quadratic equation is; ax^2+bx+c = 0

A.

y(y+4)-y = 6

Using distributive property: a\cdot (b+c) = a\cdot b + a\cdot c

y^2+4y-y=6

Combine like terms;

y^2+3y = 6

or

y^2+3y -6=0 which represents a quadratic equation.

B.

3a-7 = 2(7a-3)

3a-7 = 14a-6

or

11a+1 = 0 which is not a quadratic equation.

C.

(3x+2)+(6x-1) = 0

Combine like terms;

9x +1 = 0 which is not a quadratic equation.

D.

4b(b) = 0

4b^2 = 0 which represents the quadratic equation.

[2].

Given the parent function: y=x^2

The reflection rule over x axis is given by;

(x, y) \rightarrow (x, -y)

then

the function become: y = -x^2

Vertical shift:

If c is a positive real number, the graph y=f(x)+c is the graph of y =f(x) shifted upward c units.

If c is a positive real number, the graph y=f(x)-c is the graph of y =f(x) shifted downward c units.

then;

The graph y=-x^2-3 is the graph of y=-x^2 shifted 3 units down.

Therefore, the translation of the graph of  y=x^2 to obtain y=-x^2-3 is, reflect over the  x-axis and shift down 3




6 0
3 years ago
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