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atroni [7]
3 years ago
9

If y varies inversely as x and x=5 when y=20, then what is the constant of variation, k?

Mathematics
1 answer:
Sati [7]3 years ago
7 0

Answer:

k=100

y the varies inversely as x

y   \alpha  {x}^{ - 1}

that is y is equal to inverse of x

introducing a constant k, you have

k = x  \times y \\ 5 \times 20 \\ 100

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Has a slope of 2 and goes through (5,1)
Slav-nsk [51]

Answer:

y = 2x - 9

Step-by-step explanation:

y= mx + b

plug in slope

y = 2x + b

plug in points

1 = 2 (5) + b

simplify

1 = 10 + b

subtract 10 each side

-9 = b

plug in to original equation

y=2x - 9

8 0
3 years ago
Danny rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 92 cents for each mile d
Kitty [74]

Answer:

194 miles

Step-by-step explanation:

The base fee of $15.99 is going to have to be paid, whether any miles are put on the truck or not.  If the number of miles driven is our unknown, if we rent the truck for the base fee of $15.99 and drive it 0 miles, we still have to pay the $15.99.  If we do drive it and we have to pay .92 a mile, the expression for that is .92x, where x is the number of miles driven (it is also the variable we are solving for!).  The expression for this total cost is .92x + 15.99, and since we paid a total of $194.47, we set our cost equation equal to that number and solve for x:

.92x + 15.99 = 194.47 and

.92x = 178.48 so

x = 194 miles driven

5 0
3 years ago
Plz Help ASAP!
Rina8888 [55]
Part A:

From the graph, it seems that the lines intersect at (3,-1)... This seems to be the solution... 


Part B: 
g(x) is a negative line, and the slope is 2 (from rise/run). Y int. = 5. So, the equation is -2x+5. Plug in some numbers for this; say 1 and 2. The coordinates would be (1,3) and (2,1). 

Part C: 
The 2 graphs seem to intersect at (0,5), so this is the solution... 

ALL of this is based on only looking at the graph, which is no better than drawing lines on the sand.. For example, the y intercept for g(x) could be 4.9 or 5.1, and I don't know the equation for f(x)... Based on the info I have,  gave my best answers.. 

Hope this helps.. 
5 0
3 years ago
What is the sum to this equation ?pl
SVEN [57.7K]
The answer is 15/10.
5 0
3 years ago
Read 2 more answers
Find the 11th partial sum of the summation of negative 7i plus 22, from i equals 1 to infinity.
marta [7]
I think you mean,

\sum_{i=1}^{\infty}(7i+22)

You can use the usual formula,

S_{k}=\frac{k}{2}(a_1+a_k)

That in this case is,

S_{11}=\frac{11}{2}(29+99)=704

Where I have used,

a_k=7\cdot k +22
3 0
3 years ago
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