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Alex787 [66]
3 years ago
7

The cost of performance tickets and beverages for a family of four can be modeled using the equation 4x + 12 = 48, where x

Mathematics
2 answers:
posledela3 years ago
6 0

For this case we have the following equation:

4x + 12 = 48

Where the variable "x" represents the cost of a performance ticket.

Clear "x" of the equation to know the cost of a ticket.

Subtracting 12 on both sides of the equation:

4x = 48-12\\4x = 36

Dividing between 4 on both sides of the equation:

x = \frac {36} {4}\\x = 9

So, the cost of a ticket is $ 9.00

Answer:

Option C

BARSIC [14]3 years ago
3 0

Answer:

$9.00

Step-by-step explanation:

4x + 12 = 48         - First, subtract 12 from each side of the equation.

4x = 36                 - Then, divide each side by 4 to get x by itself.

x = 9                     - After dividing by 4, we are left with x = 9, so 1 ticket costs

                              $9.00

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In this case:

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To plot this on a coordinate plane plot the y-intercept (0, -1).

To graph the rest of the line you can use what you know about the slope. Rise up two units and over to the right one unit from the y-intercept. You should arrive at the point (1, 1)

Then, again from the y-intercept, go down two units and to the left one unit. You should arrive at the point (-1, -3)

Now draw a straight line through the y-intercept and the other two points you just found

The image of the graph is shown below

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2 years ago
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Find a third degree polynomial function of the lowest degree that has the zeros below and whose leading coefficient is one.
Tanzania [10]

Answer:

The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is p(x) = x^{3}-5\cdot x^{2}-6\cdot x.

Step-by-step explanation:

From Fundamental Theorem of Algebra, we remember that the degree of the polynomials determine the number of roots within. Since we know three roots, then the factorized form of the polynomial function with the lowest degree is:

p(x) = (x-r_{1})\cdot (x-r_{2})\cdot (x-r_{3}) = 0 (1)

Where r_{1}, r_{2} and r_{3} are the roots of the polynomial.

If we know that r_{1} = -1, r_{2} = 0 and r_{3} = 6, then the polynomial function in factorized form is:

p(x) = (x+1)\cdot x \cdot (x-6) (2)

And by Algebra we get the standard form of the function:

p(x) = x\cdot (x+1)\cdot (x-6)

p(x) = x\cdot (x^{2}-5\cdot x -6)

p(x) = x^{3}-5\cdot x^{2}-6\cdot x (3)

The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is p(x) = x^{3}-5\cdot x^{2}-6\cdot x.

6 0
2 years ago
Can you help me with this question I rlly need it rn and please use the options it gives you thank you&lt;3
Jet001 [13]

Answer:  Choice C

Closed filled in circle at -3; shading to the right.

========================================================

Explanation:

Follow the steps shown below to isolate x. Note that the inequality sign flips when we divide both sides by a negative number.

-4x+8 \le 20\\\\-4x \le 20-8\\\\-4x \le 12\\\\x \ge 12/(-4)\\\\x \ge -3\\\\

Here's another way to isolate x

-4x+8 \le 20\\\\8 \le 20+4x\\\\4x+20 \ge 8\\\\4x \ge 8-20\\\\4x \ge -12\\\\x \ge -12/4\\\\x \ge -3\\\\

The inequality sign flip happens much earlier when we go from the format of A \le B to B \ge A  (in step 3)

The graph of this will have a closed filled in circle at -3, then shading to the right to describe all values -3 or larger.

This is why we go for choice C.

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2 years ago
Suppose the function D(p)=1500-25p represents the demand for hot dogs, whose price is p, at a baseball game. Find the domain of
TiliK225 [7]

The function is given by

\\ \tt\hookrightarrow D(p)=1500-25p

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\\ \tt\hookrightarrow 1500-25p\geqslant 0

\\ \tt\hookrightarrow 1500\geqslant 25p

\\ \tt\hookrightarrow p\leqslant 60

Now

\\ \tt\hookrightarrow D_f\in (-\infty,60]

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