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irina [24]
3 years ago
5

Kelly tells you that when variables are in the denominator, the equation one over two plus three over x equals three over four b

ecomes unsolvable. Kelly explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to Kelly how the equation is still solvable and explain your reasoning.
Mathematics
1 answer:
olasank [31]3 years ago
8 0
1/2 + 3/x = 3/4
multiply everything by x
1/2x + 3 = 3/4x...subtract 1/2x from both sides
3 = 3/4x - 1/2x
3 = 3/4x - 2/4x
3 = 1/4x...multiply both sides by 4
4 * 3 = x
12 = x
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Nicky is considering two different companies for textbook rentals. For
maks197457 [2]

Answer:

if youre answer has to be a whole number it would be 3 otherwise it would be  x<4 ( so anything less than 4 )

Step-by-step explanation:

so because we are trying to find which company is less, we need to set up in inequality.

so first lets do company A

because 15 is our reoccuring fee, its going to be the coeifficient

so the equation would be

A - 15x + 20

now lets do company B

because it only 20 every month we dont need to have a constant which means the equation for B would be

B - 20x

so lets put it all together

15x + 20 > 20x ( remember our B side has to be less )

now lets solve it

20 > 5x

we know that if x = 4 then the two would be equal, which means our answer would have to be 3 months.

now always check your work.

15 (3) + 20 = 65

20(3) = 60

3 0
3 years ago
Find the height of the figure below if the volume is 480.66 cm^3.
salantis [7]

V=\pi r^{2}h\\ 480.66=\pi  6^{2} h\\first, divide both sides by \pi:\\153=6^{2}h\\153=36h\\divide both sides by 36:\\4.25=h

4 0
3 years ago
What is the initial value of the exponential function shown on the graph?
borishaifa [10]
D. 4 This is where the exponential line on the graph hits the y axis.
8 0
2 years ago
X = 2y − 4<br><br> 7x + 5y = −66
ivolga24 [154]

Answer:

Step-by-step explanation

Substitute 2y-1 for x in the second equation:

7x + 5y = -66

7(2y-4) + 5y = -66

then solve for y:

14y - 28 + 5y = -66

19y = -38

y = -2

Substitute -2 for y in the first equation:

x  = 2y - 4

x = 2(-2) - 4

x = -8

The lines intersect at (-8,-2)

3 0
3 years ago
Without calculating, determine the sign of the final sum of left parenthesis negative 4.3 right parenthesis plus 14.5. How can y
a_sh-v [17]
<h3>Answer: positive</h3>

We're adding a negative to a positive. The sign of number that is larger in magnitude will determine the sign of the answer.

The 4.3 is negative while the 14.5 is positive. The 14.5 is larger than 4.3, so the sign of 14.5 will be the sign of the answer. This is why the final answer is positive.

You can think of  (-4.3) + 14.5 as 14.5 + (-4.3) = 14.5 - 4.3 if it helps you see why the answer is positive.

7 0
2 years ago
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