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3 years ago

13

Solve each equation for x over the set of real numbers. 3x+5/(x-1)(x^4+7)

1 answer:

Kruka [31]3 years ago

3 0

$3x+5/(x-1)(x^4+7)$

$3x+5(x^4+7)/x-1$

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A scuba diver descends in the water at a rate of 23 1/2

Makovka662 [10]

The scuba diver's position relative to sea level after the 4.6 minutes is 5.1 ft.

Given:

A scuba diver descends in the water at a rate of 23 1/2 feet per minute for 2.6 minutes.

A scuba diver ascends at a rate of 28 feet per minute for 2 minutes after seeing a big fish.

To find :

The scuba diver's position relative to sea level after the 4.6 minutes.

Solution:

Rate of a scuba diver descending in the water for 2.6 minutes = $R _1$

$R_1= 23\frac{1}{2}ft/min=\frac{47}{2} ft/min$

Distance covered by a scuba diver in 2.6 minutes = $d_1$

$d_1=R_1\times 2.6min=\frac{47}{2} ft/min\times 2.6 min=61.1 ft$

Rate of a scuba diver ascending for 2 minutes = $R _2$

$R_2= 28ft/min$

Distance covered by a scuba diver in 2 minutes = $d_2$

$d_2=R_2\times 2min=28 ft/min\times 2 =56 ft$

The position of scuba diver after 4.6 minutes relative to sea level:

$d_1-d_2=61.1 ft-56 ft=5.1ft$

The scuba diver's position relative to sea level after the 4.6 minutes is 5.1ft.

Learn more about ascending rate and descending rate here:

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3 years ago

The likelihood that Sue makes a free throw in basketball is 73%. The likelihood that she makes a 3-point shot is 0.72. Which is

AleksandrR [38]

Answer:

She is more likely to make a free throw in basketball.

Step-by-step explanation:

This is because 73% is equal to .73 and .72 is equal to 72% so thats more common.

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3 years ago

For a quadratic equation where: 2++=0

otez555 [7]

Answer:

Solutions will be unreal

Step-by-step explanation:

Given the quadratic equation ax^2+bx+c

The discriminant of the function determines its nature of its root

Discriminant D = b^2-4ac

If D <0, it shows that the roots of the equation will be a complex value. since D is less than 0 and the square root of a negative number does not exist. Hence, the solutions will be unreal

3 0

2 years ago

Which of the following is a solution of x2 + 2x + 4?

scoray [572]

Answer:8x

Step-by-step explanation:

2++2=4 add x up 4 = 8x

3 0

2 years ago

Read 2 more answers

The graph of a function, ƒ( x), is plotted on the coordinate plane. Select two of the following functions that would move the gr

Alex17521 [72]

Answer:

The following functions would move the graph of the function to the right on the coordinate plane.

C) $f(x-3)+1$

G) $f(x-5)$

Step-by-step explanation:

We need to check for those functions which shows a horizontal shift of graph to the right.

Translation Rules:

Horizontal shift:

$f(x)\rightarrow f(x+c)$

If $c>0$ the function shifts $c$ units to the left.

If $c$ the function shifts $c$ units to the right.

Vertical shift:

$f(x)\rightarrow f(x)+c$

If $c>0$ the function shifts $c$ units to the up.

If $c$ the function shifts $c$ units to the down.

Applying rules to identify the translation occuring in each of the given functions.

A) $f(x+2)-7$

Translation: $f(x)\rightarrow f(x+2)-7$

The translation shows a shift of 2 units to the left and 7 units down.

B) $f(x)-3$

Translation: $f(x)\rightarrow f(x)-3$

The translation shows a shift of 3 units down.

C) $f(x-3)+1$

Translation: $f(x)\rightarrow f(x-3)+1$

The translation shows a shift of 3 units to the right and 1 units up.

D) $f(x)+4$

Translation: $f(x)\rightarrow f(x)+4$

The translation shows a shift of 4 units up.

F) $f(x+6)$

Translation: $f(x)\rightarrow f(x+6)$

The translation shows a shift of 6 units to the left.

G) $f(x-5)$

Translation: $f(x)\rightarrow f(x-5)$

The translation shows a shift of 5 units to the right.

4 0

3 years ago