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3 years ago

What is a constant in math

Mathematics

2 answers:

almond37 [142]3 years ago

4 0

A constant is a number that never changes value. Example:
x + 3 = 5, 3 and 5 are constants.

harkovskaia [24]3 years ago

3 0

A constant stays the same no matter what. A constant in math is just like a independent variable in biology, if you are more familiar with that.

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An owner of a key rings manufacturing company found that the profit earned (in thousands of dollars) per day by selling n number

vovikov84 [41]

Answer:

The number of key rings sold on a particular day when the total profit is $5,000 is 4,000 rings.

Step-by-step explanation:

The question is incomplete.

An owner of a key rings manufacturing company found that the profit earned (in thousands of dollars) per day by selling n number of key rings is given by

$P=n^2-2n-3$

where n is the number of key rings in thousands.

Find the number of key rings sold on a particular day when the total profit is $5,000.

We have the profit defined by a quadratic function.

We have to calculate n, for which the profit is $5,000.

$P=n^2-2n-3=5\\\\n^2-2n-8=0$

We have to calculate the roots of the polynomial we use the quadratic equation:

$n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\n= \frac{-2\pm\sqrt{4-4*1*(-8)}}{2}= \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{36}}{2} =\frac{-2\pm6}{2} \\\\n_1=(-2-6)/2=-8/2=-4\\\\n_2=(-2+6)/2=4/2=2$

n1 is not valid, as the amount of rings sold can not be negative.

Then, the solution is n=4 or 4,000 rings sold.

7 0

3 years ago

F(x)=11x -x +2 find the potential rational zeros

d1i1m1o1n [39]

X = - 1/2

In other way is x = -0.2 , x = -5^-1

3 0

3 years ago

Find the zeroes of the following equation:

weqwewe [10]

Answer: $\bold{x=\dfrac{1\pm \sqrt5}{2}}$

both zeros are irrational numbers

Step-by-step explanation:

Note: The question would have made more sense if if it was 2/x = x - 1 but I will answer it as written.

$\dfrac{1}{x}=x-1\qquad \text{Restriction: }x\neq 0\\\\\\\text{Cross multiply, simplify, and set equal to zero:}\\1=x(x-1)\\\\1=x^2-x\\\\0=x^2-x-1\\\\\\\text{This is not factorable so you will need to use Quadratic Formula:}\\\\x=\dfrac{-(-1)\pm \sqrt{(-1)^2-4(1)(-1)}}{2(1)}\\\\\\x=\dfrac{1\pm \sqrt5}{2}$

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2 years ago

What are the y-intercept and the slope of the line represented in the graph?

sineoko [7]

Answer:

B

Explanation:

The y intercept can be read directly off of the graph, and is where the line intersects the y of the graph.

The slope (gradient) can be determined by using the equation y=mx+c, where we can substitute in the y intercept and an x and y value on the line.

y=mx+4

(2;0) is a point on the line, it is the coordinates of the x intercept (y intercept will work as well)

0=m(2)+4
m=-2

6 0

3 years ago

Read 2 more answers

A high- speed elevator can rise 500 feet in 30 seconds. Which expression represents the rate, in feet per minute, of the elevato

maria [59]

The expression is r = 500 • 2, where “r” represents the rate.

5 0

3 years ago