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Orlov [11]
3 years ago
13

it costs $20 for 4 play tickets and $35 for 7 play tickets. Is cost per ticket constant? why or why not?

Mathematics
1 answer:
KonstantinChe [14]3 years ago
4 0

Answer:

The cost per ticket is<u> constant</u>.

Step-by-step explanation:

Given:

It costs $20 for 4 play tickets and $35 for 7 play tickets.

Now, to get whether cost per ticket is constant or not.

So, if the cost per ticket is constant that means the cost of ticket for a play or more is fixed, non-varying and it does not change.

Now, we check it:

4 play tickets costs  = $20.

1 play tickets costs  = $20 ÷ 4 = $5.

So, 7 play tickets costs = $5 × 7 = $35.

Thus, the cost of ticket for play is not changing and it is constant.

So the cost per ticket is constant.

Therefore, the cost per ticket is constant.

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What is the sum of the 2 real solutions to the equation
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Answer:

D

Step-by-step explanation:

Given

x = 6 - x² ( subtract 6 - x² from both sides )

x² + x - 6 = 0 ← in standard form

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)

The factors are + 3 and - 2, since

- 3 × 2 = - 6 and 3 - 2 = + 1, thus

(x + 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

Sum of solutions = - 3 + 2 = - 1 → D

5 0
3 years ago
What is an equation of the line with slope 5 and y-intercept 8?
jeka94

Answer:

y=5x+8

Step-by-step explanation:

You need have the slope-intercept formula:

y=mx+b

m=slope

b=y-intercept

You replace the m and b with the slope and y-intercept which is 8

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Hope this helps!

8 0
3 years ago
Triple u then divide 3 by the result?
kkurt [141]

Answer:

beinggreat78~is~here~to~help!

The equation should look something like this.

\frac{u(3)}{3}

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In this case, if it says triple, I highly recommend multiplying by 3, which is what I did, it only looks different because it is in parentheses.

What have we learned?

<h3>We learned how to write algebraic equations, and some further information on multiplying.</h3>

7 0
2 years ago
Anna found the difference between thirteen and the product of four and a number. Which expression represents this phrase, and wh
ira [324]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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Compare the functions shown below:<br><br> Which function has the greatest maximum y-value?
solmaris [256]
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The highest point shown on the graph of f(x) is at (x,y) = (pi,3). The y value here is y = 3.

For h(x), the max occurs when cosine is at its largest: when cos(x) = 1. 
So,
h(x) = 2*cos(x)+1
turns into
h(x) = 2*1+1
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h(x) = 3
showing that h(x) maxes out at y = 3 as well

--------------------------------

Note: g(x) has all of its y values smaller than 0, so there's no way it can have a max y value larger than y = 3. See the attached image to see what this graph would look like if you plotted the 7 points. A parabola seems to form. Note how point D = (-3, -2) is the highest point for g(x). So the max for g(x) is y = -2

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3 years ago
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