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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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Show that the three points whose position vectors are 7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k form an isosceles right
Novay_Z [31]

Answer:

AB = √18 , BC=√18 and CA =4

AB²+BC²  = CA² and AB=BC

ΔABC isosceles right  angled triangle.

Step-by-step explanation:

Given vectors are  7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k

A( 0,7,10), B( -1,6,6) C(-4,9,6)

AB⁻ = OB-OA = -I+6j+6k-(7j+10k) = -I-j-4k

AB = \sqrt{1+1+16} = \sqrt{18}

BC = OC-OB = -4i+9j+6k-(-I+6j+6k) = -3i+3j

BC=\sqrt{9+9} =\sqrt{18}

CA = OA-OC = 7j+10k - (- 4i + +9j + 6k ) = 4i-2j+4k

CA = \sqrt{16+4+16} =\sqrt{36} =4

Since AB²+BC²  = CA²

And AB=BC

Therefore it follows that ΔABC is a right angled isosceles triangle



3 0
2 years ago
It say a machinist can produce 114 parts in 6min at at this rate how many parts can the machinist produce in 15 min
Anna [14]
114/6=9 parts per minute. 9 parts * 15 minutes= 135 parts
8 0
2 years ago
Find the inverse of the function. y = x2 + 4x + 4
alex41 [277]
<span>The given function is ⇒⇒⇒  y = x² + 4x + 4
</span>
To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. make x as y and y as x)
y = x² + 4x + 4  ⇒⇒⇒ factor the quadratic equation
y = (x+2)(x+2)
y = (x+2)²         ⇒⇒⇒ take the square root to both sides
√y = x+2
x = √y - 2         ⇒⇒⇒ x becomes a function of y
final step:
∴ y = √x - 2   ⇒⇒⇒ the inverse of the given function

So, as a conclusion:
f(x) = y = x² + 4x + 4  ⇒⇒⇒ the given function

f⁻¹(x) = y = √x - 2       ⇒⇒⇒ the inverse of the given function


7 0
2 years ago
Read 2 more answers
Sasha has $55 to spend on clothes. She wants to buy a pair of jeans for $27 and spend the rest on t-shirts. Each t-shirt costs $
nata0808 [166]

Answer:

$55 subtract $27 for the jeans. she still has $28 left.

Step-by-step explanation:

t-shirts are 7 each. therefore 28 ÷7=4. so x<4

5 0
2 years ago
suppose you could make a single "lump sum" deposit of $3679, in an investment that provides an annual percentage rate(apr) of 4%
yaroslaw [1]

Answer:

\$5,698.30  

Step-by-step explanation:

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  (future value)

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=11\ years\\ P=\$3,679\\ r=4\%=4/100=0.04\\n=365  

substitute in the formula above

A=3,670(1+\frac{0.04}{365})^{365*11}  

A=\$5,698.30  

3 0
2 years ago
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