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3 years ago

Is the lcm less than both numbers allways never or some times

Mathematics

1 answer:

JulijaS [17]3 years ago

7 0

The lcm has to be equal to or greater than the greater of the two numbers.

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The following figure shows two intersecting lines which point name a straight angle

irina [24]

Answer:

The answer would be AEC because the angle all would add up to be 180 degrees

5 0

3 years ago

Jane is the regional manager of Graphic DesignWorks. She earns an annual

laila [671]

Answer:

A. $16,500

Step-by-step explanation:

82500/5

8 0

3 years ago

the axis of symmetry for the graph of the function is f(x) = 1/4x2 bx 10 is x = 6. what is the value of b?

Lady bird [3.3K]

we have

$f(x)=\frac{1}{4} x^{2} +bx+10$

This is a vertical parabola open upward

The axis of symmetry is equal to the x-coordinate of the vertex

The vertex is the point (h,k)

the equation of the axis of symmetry is $x=h$

In this problem

$x=6$

so the x-coordinate of the vertex is $h=6$

<u>Convert the quadratic equation in vertex form</u>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-10=\frac{1}{4} x^{2} +bx$

Factor the leading coefficient

$f(x)-10=\frac{1}{4}(x^{2} +4bx)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-10+b^{2}=\frac{1}{4}(x^{2} +4bx+4b^{2})$

Rewrite as perfect squares

$f(x)+(b^{2}-10)=\frac{1}{4}(x+2b)^{2}$

$f(x)=\frac{1}{4}(x+2b)^{2}-(b^{2}-10)$

remember that

$h=6$

$(x+2b)=(x-6)$

$2b=-6$

$b=-3$

substitute in the equation

$f(x)=\frac{1}{4}(x-6)^{2}-((-3)^{2}-10)$

$f(x)=\frac{1}{4}(x-6)^{2}+1$

therefore

<u>the answer is</u>

$b=-3$

8 0

4 years ago

Read 2 more answers

What is the relative maximum value of the function f(x) = –x3 + 6x2 – 9x – 1?

Vlad [161]

Answer:

-1.

Step-by-step explanation:

First find the derivative of f(x):

f'(x) = -3x^2 + 12x - 9 = 0 for a maximum or minimum.

-3(x^2 - 4x + 3) = 0

(x - 1)(x - 3) = 0

x = 1, 3.

To find which gives a relative maximum we find the second derivative:

f"(x) = -6x + 12

When x = 1 f"(x) = 6, positive.

when x = 3, f"(x) = -6, negative.

So x = 3 gives a maximum value of f(x).

f(3) = -(3)^3 + 6*(3)^2 - 9(3) - 1 = -1 (answer).

7 0

3 years ago

What an equivalent expression for 48 + 18x

FromTheMoon [43]

Answer:

6(8+3x)

Step-by-step explanation:

48+18x

We can factor out an 6 from each term in the expression

6(8+3x)

7 0

4 years ago

Read 2 more answers