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Gekata [30.6K]
2 years ago
9

The regular price of a child's entry ticket to a water park is $8 less than that for an adult's. The park offers half off all en

try tickets during the off-peak season. The Sandlers paid a total of $194 for 1 adult ticket and 4 child's tickets to the water park during the off-peak season. The following equation represents this situation, where x represents the regular price of an adult ticket:
194 = one-half x + 2(x − 8)

What is the regular price of a child's ticket? (5 points)

a
$68

b
$76

c
$84

d
$89
Mathematics
1 answer:
inessss [21]2 years ago
4 0

Answer:

76

Step-by-step explanation:

so first the equation for the situation has been given which is

194=1/2x + 2x - 16

now you can just solve since it's a linear equation

194=2.5x -16

take 16 to the other side to get

210=2.5x

solve to get x (adult price)

which is 84

remember the. child's price is 8 less

84-8=76

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Answer:

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Answer:

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Step-by-step explanation:

we know that

To find out the factors of a polynomial, determine the x-intercepts or zeros of the polynomial

Remember that

The x-intercepts of a polynomial are the values of x when the value of the polynomial is equal to zero

In this problem

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adds 2 both sides

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Liono4ka [1.6K]

6) slope is 1, y-intercept is 3, equation in slope-intercept form:

y=x+3

7) Slope of the line that goes through the points (3,9) and (-5,3) is Slope=\frac{3}{4}

8) Slope = m= \frac{2}{3}

y-intercept = b= -4

Step-by-step explanation:

6) Create table of coordinate points:

x     y

-2    1

-1     2

0     3

1      4

2     5

Identify the slope:

Using formula:

Slope=\frac{y_2-y_1}{x_2-x_1}

Putting values:

Slope=\frac{2-1}{-1-(-2)}

Slope=\frac{1}{-1+2}

Slope=\frac{1}{1}

Slope=1

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Identify y-intercept.

y-intercept is found when x=0, so, looking at the table when x = 0, y= 3 so, y-intercept is 3

Equation in the form: y=mx+b

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Putting values:

y=mx+b\\y=1x+3\\or\,\,y=x+3

So, equation in slope-intercept form:

y=x+3

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Using formula:

Slope=\frac{y_2-y_1}{x_2-x_1}

Putting values:

Slope=\frac{3-9}{-5-(3)}

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8) What is the slope and y-intercept of the following equation:

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The general equation of slope-intercept form is:

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Comparing both equations we get:

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Keywords: Equation of line using Slope  

Learn more about Equation of line using Slope at:

  • brainly.com/question/9369548
  • brainly.com/question/4932386
  • brainly.com/question/4819659

#learnwithBrainly

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