What is the LCM of 3 and 7?

3
7
14
21

Answers

Answer 1

Answer: The correct answer is 21 simply because 21 is a multiple of 3 and a multiple of 7, other answer does not hold this conclusion.

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Is knowing the coordinates of the vertex of a parabola enough to determine the domain and range?a.No: we would have no information about the domain.
b.Yes: if the vertex is at (m,n), then the domain is all reals and the range is y ≤ n.
c.No: we would need to know if the vertex is a minimum or a maximum.
d.Yes: if the vertex is at (m,n), then the domain is all reals and the range is y ≥ n.

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.

y=2x-x+6

A)( 0.25, 6.125)
B)(-0.25, 5.875)
C)( 0.25, 5.875)
D)( 0.25, 6)

Answers

The correct answers are:

C) No: we would need to know if the vertex is a minimum or a maximum; and

C)( 0.25, 5.875).

Explanation:

The domain of any quadratic function is all real numbers.

The range, however, would depend on whether the quadratic was open upward or downward. If the vertex is a maximum, then the quadratic opens down and the range is all values of y less than or equal to the y-coordinate of the vertex.

If the vertex is a minimum, then the quadratic opens up and the range is all values of y greater than or equal to the y-coordinate of the vertex.

There is no way to identify from the coordinates of the vertex whether it is a maximum or a minimum, so we cannot tell what the range is.

The graph of the quadratic function is shown in the attachment. Tracing it, the vertex is at approximately (0.25, 0.5875).

Evaluate 5 - t/3 when t =12

Answers

Answer:

Step-by-step explanation:

Plug in t = 12 in the expression

$5-(t)/(3)=5-(12)/(3)$

= 5 - 4/1

= 5 - 4

= 1

Answer:

$\Huge \boxed{1}$

Step-by-step explanation:

$\displaystyle 5-(t)/(3)$

The value of $t$ in the expression is 12.

Replace the $t$ variable with 12.

$\displaystyle 5-(12)/(3)$

Evaluate the expression.

$5-4$

$1$

The measure of each interior angle of a _______ quadrilateral is _________than ________

Answers

the measure of each interior angle of a convex quadrilateral is less than 180 degrees

A point is represented by a: line dot square none of the above

Answers

It's represented by a dot.

Yeah, its represented by a dot.

Pleaseeeee Helpppppp me

Answers

I will think it will be ANSWER - TWO

Solve for x:
4x - 12 = 8x + 24

Answers

Answer: -9

Step-by-step explanation:

To solve the equation, isolate the variable, then use basic arithmetic.

Subtract 4x on both sides to obtain the equation:

-12 = 4x + 24

Subtract 24 on both sides to isolate 4x, and obtain the equation:

-36 = 4x

Finally, divide both sides by 4 to obtain the following:

-9 = x

Final answer:

To solve the equation 4x - 12 = 8x + 24, shift all terms with x to one side and constants to the other, then isolate the x. The solution of the given equation is x = -9.

Explanation:

The goal here is to find the value of x by solving the equation 4x - 12 = 8x + 24. This is a type of linear equation which can be rearranged to eventually isolate x on one side.

First, you want to bring all terms with x to one side of the equation and constants to the other. To do that, you can subtract 4x from both sides which will give: -12 = 4x + 24.

Then, subtracting 24 from both sides of the equation will give: -36 = 4x.

Finally, dividing by 4 on both sides will isolate x, so: x = -36 / 4 = -9. So, the solution of the equation is x = -9.