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MAXImum [283]
3 years ago
12

(a + 1)(a + 8) = 0 How to solve

Mathematics
2 answers:
stich3 [128]3 years ago
7 0

Answer:Since both terms are perfect cubes, factor using the difference of cubes formula,

a

3

−

b

3

=

(

a

−

b

)

(

a

2

+

a

b

+

b

2

)

where

a

=

x

and

b

=

2

.

(

x

−

2

)

(

x

2

+

x

⋅

2

+

2

2

)

=

0

Simplify.

Tap for more steps...

(

x

−

2

)

(

x

2

+

2

x

+

4

)

=

0

If any individual factor on the left side of the equation is equal to

0

, the entire expression will be equal to

0

.

x

−

2

=

0

x

2

+

2

x

+

4

=

0

Set the first factor equal to

0

and solve.

Tap for more steps...

x

=

2

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

−

1

+

i

√

3

,

−

1

−

i

√

3

The final solution is all the values that make

(

x

−

2

)

(

x

2

+

2

x

+

4

)

=

0

true.

x

=

2

,

−

1

+

i

√

3

,

−

1

−

i

√

3

Step-by-step explanation:

Marina CMI [18]3 years ago
7 0
(a + 1) (a + 8) = 0

a^2 + 8a + a + 8 = 0
a^2 + 9a + 8 = 0
a^2 + a + 8a + 8 = 0
a (a + 1) + 8 (a + 1) = 0
(a + 1) (a + 8) = 0

a + 1 = 0
a = -1

a + 8 = 0
a = -8
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Step-by-step explanation:

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3 years ago
3q+4+9=-14 <br> what is Q
BlackZzzverrR [31]

Hi! Your answer is q = -9

Please see an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

Since we want to solve for q-term. That means we are going to isolate q-term.

\huge{3q+4+9=-14}

We can add 4 and 9 together.

\huge{3q+13=-14}

Because we want to know the value of q. That means we have to isolate q-term by subtracting both sides by 13.

\huge{3q+13-13=-14-13}\\\huge{3q=-27}

We are reaching to the final step where we divide the whole equation by 3.

\huge{\frac{3q}{3}=-\frac{27}{3}}\\\huge{q=-9}

Finally, the solution for this equation is q = -9. But what if you are not certain or sure about the answer? Let's check it out!

To check the answer, simply substitute q = -9 in the equation.

\huge{3q+4+9=-14}\\\huge{3(-9)+13=-14}\\\huge{-27+13=-14}\\\huge{-14=-14}

Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.

Hope this helps!

5 0
3 years ago
What is the volume of a rectangular prism with the dimensions: base 7 2 cm, height 3 2 cm, and length 9 2 cm?
noname [10]

Answer:

Step-by-step explanation:

first do 72times2,32times2,92times2,  then add them all

5 0
3 years ago
n a large high school, 37% of the teachers believe that five minutes is not enough time for students to change classes. However,
timurjin [86]

The difference (faculty-student) in the sample proportions of those who believe that five minutes is not enough time for students to change classes typically varies about 0.096 from the true difference in proportions. Option D is correct.

<h3>What is the standard deviation?</h3>

It is a measurement of statistical data dispersion. The degree to which the value varies is known as standard deviation.

The standard deviation of the sampling distribution is found as;

\rm \sigma_F-\sigma_s= \sqrt{\frac{0.37 \times (1-0.37)}{28}+\frac{0.89 \times (1-0.89)}{100}  } \\\\  \sigma_F-\sigma_s=0.096

The difference in the sample proportions of those who think five minutes is not enough time for students to switch classrooms generally differs by roughly 0.096 from the actual difference in proportions.

Hence option D is correct.

To learn more about the standard deviation, refer to: brainly.com/question/16555520.

#SPJ1

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