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Sedbober [7]
3 years ago
10

Someone please help me (asap)...

Mathematics
1 answer:
Dvinal [7]3 years ago
6 0

9514 1404 393

Answer:

Step-by-step explanation:

We can call the blank values 'a' and 'b' so we have ...

  ay\sqrt[3]{6y}-14\sqrt[3]{48y^b}=-11y\sqrt[3]{6y}

We can move everything to inside the radical by cubing those things that are outside.

  \sqrt[3]{6a^3y^4}-\sqrt[3]{131712y^b}=-\sqrt[3]{7986y^4}

In order for the terms on the left to be "like" terms, the value of b must be 4. Having determined that, we can remove the cubes from under the radical and factor out the radical.

  ay\sqrt[3]{6y}-28y\sqrt[3]{6y}=-11y\sqrt[3]{6y}\\\\a-28=-11 \qquad\text{divide by $y\sqrt[3]{6y}$}\\\\a=17

Then the desired expression is ...

  \boxed{17}y\sqrt[3]{6y}-14\sqrt[3]{48y^{\boxed{4}}}=-11y\sqrt[3]{6y}

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vladimir2022 [97]

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5 0
3 years ago
The graph of the function f(x) = –(x + 3)(x – 1) is shown below.
ankoles [38]

Answer:

The second statement is true.

Step-by-step explanation:

Draw the corresponding parabola and use it to verify  all statements.

5 0
2 years ago
24 1/2% is equal to which
Lorico [155]

Answer:0.245

Step-by-step explanation:

5 0
3 years ago
Find all real numbers on the interval [0.2 t) that satisfy the equation. Use radian measure.
sergejj [24]

Answer:

  x ∈ {2π/3, π, 4π/3} ≈ {2.09440, 3.14159, 4.18879}

Step-by-step explanation:

The equation can be put into standard form by adding 1:

  2cos²(x) +3cos(x) +1 = 0

  (2cos(x) +1)(cos(x) +1) = 0

Values of cos(x) that make this true* are ...

  cos(x) = -1/2 . . . . . . . . . true for x=2π/3, x=4π/3

  cos(x) = -1 . . . . . . . . . . . true for x=π

__

A graphing calculator can be helpful here, too.

_____

* from your knowledge of the short table of trig functions and their signs in different quadrants

3 0
3 years ago
Evaluate the function at the given value and simplify.
Licemer1 [7]

Answer:

The correct option is b.

Step-by-step explanation:

The given function is

f(x)=-5x+1

We need to find the value of f(-2). It means we have to find the value of given function at x=-2.

Substitute x=-2 in the given function to find the value of f(-2).

f(-2)=-5(-2)+1

On simplification we get

f(-2)=10+1

f(-2)=11

The value of f(-2) is 11. Therefore the correct option is b.

8 0
3 years ago
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