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3 years ago

(x+3)^5=32 Please solve for x

Mathematics

1 answer:

nadezda [96]3 years ago

4 0

Answer:

x = - 1

Step-by-step explanation:

$(x + 3)^{5} = 32 \\ (x + 3)^{5} = {2}^{5} \\ x + 3 = 2 \\ x = 2 - 3 \\ \huge \purple{ \boxed{x = - 1}}$

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How are radicals and rational exponents related?

icang [17]

Answer:

Any radical in the form can be written using a fractional exponent in the form . The relationship between and works for rational exponents that have a numerator of 1 as well. For example, the radical can also be written as , since any number remains the same value if it is raised to the first power.

Step-by-step explanation:

8 0

3 years ago

Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, O for o

pshichka [43]

Answer: {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

Step-by-step explanation:

Sample space is a set that contains all the possible outcomes for an event.

For salad:

Choices for extra toppings (mushrooms, olives) =2

Choices for meats (bacon, eggs) =2

Choices for dressings (vinaigrette, honey mustard.)= 2

By Fundamental counting principal .

The number of different salads can be made= (Choices for extra toppings) x (Choices for meats ) x (Choices for dressings)

= 2 x 2 x 2 = 8

All the possible outcomes = (MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)

Required Sample space would be : {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

5 0

3 years ago

You figure out that you could make $50 per pool to clean pools during the summer. You did, however need to purchase some equipme

KatRina [158]

The answer is 15 hope this helps byeee

3 0

3 years ago

Express the fact that X differs from 2 by more than 3 as an inequality involving an absolute value. Solve for x

defon

An inequality is also an algebraic equation. However, instead of '=' sign, it uses either of these: <, >, ≤, ≥. To translate: <span>X differs from 2 by more than 3, that would be:

2 - x > 3
We use the '>' equation because the open area should face the larger value. Solving the equation:
-x > 3 - 2
-x > 1
x > -1</span>

5 0

3 years ago

Solve the system.

liraira [26]

Answer:

Option D is right,.

Step-by-step explanation:

-a+4b+2c=-8 ... i

3a+b-4c=9 ... ii

b=-1 ... iii

Substitute the value of b, in i and ii

-a-4+2c =-8 or -a+2c = -4

and 3a-1-4c = 9 or 3a -4c =8

Now we have two equations in two variables

-a+2c =-4 and 3a-4c =8

a = 2c+4: substitute this in the other equatin.

3(2c+4)-4c =8 Or 2c +12 =8

2c =-4 or c = -2

Substitute in -a+2c =12

-a-2 = -4

a = -2+4 =2

a=2, b=-1 and c =-1 is the solution.

6 0

3 years ago