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Greeley [361]
2 years ago
5

A video game arcade offers a yearly membership with reduced rates for game play. A single membership costs $60 per year. Game to

kens can be purchased by members at the reduced rate of $1.00 per 10 tokens.
Which statements represent the function of the yearly cost in dollars, y, based on x, the number of game tokens purchased for a member of the arcade? Check all that apply.
The slope of the function is $1.00.
The y-intercept of the function is $60.
The function can be represented by the equation y = x + 60.
The domain is all real numbers.
The range is {y| y ≥ 60}.
Mathematics
2 answers:
raketka [301]2 years ago
6 0

Answer:

The members slope is flatter by half compared to the non-members slope. The graphs intersect at 600 tokens and $120. Until that point the cost for non-members is less than the cost for members. After 600 tokens the cost for members is less than the cost for non-members.

Step-by-step explanation:

alexandr402 [8]2 years ago
3 0
The answer is The y-intercept of the function is $60, The function can be represented by the equation y= 1/10x + 60, and The range is {y| y (don't have the sign on my device) 60}. So choices B, C, and E.<span />
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Find the gradient of the line segment between the points (2,3) and (-3,8).
fiasKO [112]

Answer:

m = -1

Step-by-step explanation:

Given

Points (2,3) and (-3,8)

Required

Determine the gradient

Gradient (m) is calculated by dividing the change in y values by the change in x values.

i.e.

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

Where:

(x_1,y_1) = (2,3)

(x_2,y_2) = (-3,8)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{8 - 3}{-3 -2}

m = \frac{5}{-5}

m = -1

<em>Hence, the gradient is -1</em>

7 0
1 year ago
Find the volume of the composite space figure to the nearest whole number.
Alika [10]
Figure 1:
3 x 8 x 5 = 120cm³

Figure 2:
2 x 5 x 6 = 60cm³

Total Volume = 120 + 60 = 180cm³
3 0
2 years ago
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Jimmy went to the toy store. He saw 23 wooden trains and 41 plastic trains.how many more plastic trains than wooden trains did h
joja [24]
To find out d answer to dis we need to subtract d amount of plastic trains by d amount of wooden trains. d answer will be d answer to your question. lets do it:-

41 - 23 = 18
Jimmy sees 18 more plastic trains than wooden trains.

CHECK OUR WORK:-

18 + 23 = 41
We were RIGHT!!

So, Jimmy sees 18 more plastic trains than wooden trains.

Hope I helped ya!! xD 
7 0
1 year ago
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Let d(t) be the total number of miles Joanna has cycled, and let t represent the number of hours after stopping for a break duri
katrin [286]
For this case we have the following equation:
 d (t) = 12t + 20&#10;
 The variables are:
 t: time in hours
 d (t): distance traveled in miles.
 We evaluate the distance traveled after 4 hours.
 So we have that for t = 4:
 d (4) = 12 (4) +20&#10;&#10;d (4) = 48 + 20&#10;&#10;d (4) = 68
 Answer:
 
d (4) = 68
 
This means that after 4 hours Joanna cycled for 68 miles total
6 0
2 years ago
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Which statements are true regarding triangle LMN? Check all that apply.
dimaraw [331]

Answer:

NM = x

LM = x\sqrt{2}

tan (45) = 1

Step-by-step explanation:

Step 1: Pythagoras Theorem

Pythagoras theorem relates the three sides of the triangle in such a way that the sum of the square of base and perpendicular is equal to hypotenuse, such as:

                                        LM^{2} =LN^{2} +NM^{2}

Step 2: Trigonometric Functions

Only for a right angle triangle following three trigonometric relations are valid

                                        sin (\theta) = \frac{opposite}{hypotenuse}

                                        cos (\theta) = \frac{adjacent}{hypotenuse}

                                    tan (\theta)=\frac{sin (\theta)}{cos (\theta)} = \frac{opposite}{adjacent}

Step 3: Verifying all the possible answers

A: Since, LN = x and using tan (45) =1

we can calculate

                                              tan (\theta)= \frac{opposite}{adjacent}

                                           tan (45)= \frac{NM}{x} =1

therefore, NM = x (true)

B: As NM = x therefore it can not be equal to x\sqrt{2\\}.

C: Using Pythagoras Theorem

                                        LM^{2} =LN^{2} +NM^{2}

                                           LM^{2} =x^{2} +x^{2}

                                              LM^{2} =2x^{2}

                                         LM = \sqrt{2x^{2}} = x\sqrt{2}

It can also be proved using trigonometric relation

                                           cos (45) = \frac{x}{LM}

                                            LM = \frac{x}{cos (45)}

As, \frac{1}{cos (45)}= \sqrt{2}

Therefore

                                            LM = x\sqrt{2}

D and E:

Using same approach similar to part A

Since, LN = x and NM = x

we can calculate

                                              tan (\theta)= \frac{opposite}{adjacent}

                                           tan (45)= \frac{x}{x} =1

Therefore, tan (45) = 1  and not equal to \frac{\sqrt{2} }{2}

3 0
2 years ago
Read 2 more answers
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