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3 years ago

Solve for x -1/2x + 1/3 > 3/5

Mathematics

2 answers:

evablogger [386]3 years ago

4 0

Answer:

It is X > 8/15

gizmo_the_mogwai [7]3 years ago

3 0

Answer:

x > 8/15

Step-by-step explanation:

x -1/2x + 1/3 > 3/5

Combine like terms

2/2x - 1/2x +1/3 > 3/5

1/2x + 1/3 > 3/5

Subtract 1/3 from each side

1/2x + 1/3 -1/3 > 3/5 -1/3

1/2x > 3/5 -1/3

Get a common denominator

1/2x > 9/15 - 5/15

1/2x > 4/15

Multiply each side by 2

2 * 1/2x > 4/15 * 2

x > 8/15

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which equation represents an exponential function that passes through the point (2, 80)? f(x) = 4(x)5 f(x) = 5(x)4 f(x) = 4(5)x

pav-90 [236]

we know that

if the exponential function passes through the given point, then the point must satisfy the equation of the exponential function

we proceed to verify each case if the point $(2,80)$ satisfied the exponential function

case A $f(x)=4(x^{5})$

For $x=2$ calculate the value of y in the equation and then compare with the y-coordinate of the point

$f(2)=4(2^{5})=128$

$128\neq 80$

therefore

the exponential function $f(x)=4(x^{5})$ not passes through the point $(2,80)$

case B $f(x)=5(x^{4})$

For $x=2$ calculate the value of y in the equation and then compare with the y-coordinate of the point

$f(2)=5(2^{4})=80$

$80=80$

therefore

the exponential function $f(x)=5(x^{4})$ passes through the point $(2,80)$

case C $f(x)=4(5^{x})$

For $x=2$ calculate the value of y in the equation and then compare with the y-coordinate of the point

$f(2)=4(5^{2})=100$

$100\neq 80$

therefore

the exponential function $f(x)=4(5^{x})$ not passes through the point $(2,80)$

case D $f(x)=5(4^{x})$

For $x=2$ calculate the value of y in the equation and then compare with the y-coordinate of the point

$f(2)=5(4^{2})=80$

$80=80$

therefore

the exponential function $f(x)=5(4^{x})$ passes through the point $(2,80)$

therefore

the answer is

$f(x)=5(x^{4})$

$f(x)=5(4^{x})$

7 0

3 years ago

8.23x10^6 -7.39x10^6

Vladimir79 [104]

Answer:

840,000

Step-by-step explanation:

8.23x10^6=8230000

7.39x10^6=7390000

soo

8230000-

7390000

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3 years ago

What is the volume of the sphere? Round your answer to two decimal places.

nekit [7.7K]

Answer:

V = 4/3 π r 3

Step-by-step explanation:

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3 years ago

Cindy plans to shop for her school supplies and wants to know how much money she would need to spend. from her friend she knows

vlabodo [156]

Let the cost of 1 notebook be x and the cost of 1 binder be y.

4 notebooks and 3 binders would cost 23.5

Therefore, 4x + 3y = 23.5 (1)

7 notebooks and 6 binders would cost 44.5

Therefore, 7x + 6y = 44.5 (2)

Multiply the first equation by 2.

8x + 6y = 47 (3)

(3) - (2) gives

x = 2.5

Substitute the value of x in (1), we get,

4(2.5) + 3y = 23.5

10 + 3y = 23.5

3y = 23.5 - 10

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y = 13.5/3

y = 4.5

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5x + 3y = 5(2.5) + 3(4.5)

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3 years ago

Need help solving for X

galina1969 [7]

X = 2 $\sqrt{13}$

7 0

3 years ago

Solve for x -1/2x + 1/3 > 3/5​

Solve for x -1/2x + 1/3 > 3/5