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klio [65]
3 years ago
6

Use the grouping method to factor this polynomial.

Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0

Answer:

C

Step-by-step explanation:

Given

x³ + 3x² + 3x + 9 ( factor first/second and third/fourth terms )

= x²(x + 3) + 3(x + 3) ← factor out (x + 3) from each term

= (x² + 3)(x + 3) → C

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Please help with math
Andru [333]

Answer:

Scale factor  = 3

Step-by-step explanation:

Using similar triangles

AT/AG = AB/AC

9/3 = x+10/3x-10

Cross multiply

3(x+10) = 9(3x-10)

Expand

3x+30 = 27x-90

3x-27x = -90 - 30

-24x = -120

x = 120/24

x = 5

For the larger triangle;

AC = 3x-10

AC = 3(5)-10

AC =15-10

AC = 5

AB = x+10

AB = 5+10

AB = 15

For the scale factor;

Since AT/AG = AB/AC

9/15 = 3/5

3*3/5*3 =3/5

Since the numerator and denominator of the larger triangle is multiplies by the same factor i.3 3. Hence the scale factor is 3

6 0
2 years ago
What type of number is
eimsori [14]

Answer:

A) rational number

Step-by-step explanation:

56 is a rational number because it can be expressed as the quotient of two integers like 56 ÷ 1.

6 0
3 years ago
Read 2 more answers
B<br>8<br>7<br>Find the length of "e" to the<br>nearest tenth using the<br>Pythagorean Theorem.<br>​
weeeeeb [17]

Answer:

≈ 10.63

Step-by-step explanation:

Pythagorean Theorem... Possibly the most easy theory in math once you understood it.

Here's the formula.

AB would be the hypothenuse

BC would be the opposite

CA would be the Adjacent.

But let's not make it complicated though, the question is actually quite easy.

You are asked to find AB, the hypothenuse.

The hypothenuse would be C.

BC and CA would be A and B.

It doesn't matter where are you going to place the numbers.

So,  

= 113

Now we would have to square root 113 since  

is an irrational number, and the question asks you to round ro the nearest tenth.

=10.63014581

≈ 10.63

Your answer would be 10.63

Hope this answer helped :)

5 0
2 years ago
A random sample of 100 automobile owners in thestate of Virginia shows that an automobile is driven onaverage 23,500 kilometers
Anastaziya [24]

Answer:

a) 22497.7 < μ< 24502.3

b)  With 99% confidence the possible error will not exceed 1002.3

Step-by-step explanation:

Given that:

Mean (μ) = 23500 kilometers per year

Standard deviation (σ) = 3900 kilometers

Confidence level (c) = 99% = 0.99

number of samples (n) = 100

a) α = 1 - c = 1 - 0.99 = 0.01

\frac{\alpha }{2} =\frac{0.01}{2}=0.005\\ z_{\frac{\alpha }{2}}=z_{0.005}=2.57

Using normal distribution table, z_{0.005 is the z value of 1 - 0.005 = 0.995 of the area to the right which is 2.57.

The margin of error (e) is given as:

e= z_{0.005}\frac{\sigma}{\sqrt{n} }  = 2.57*\frac{3900}{\sqrt{100} } =1002.3

The 99% confidence interval = (μ - e, μ + e) = (23500 - 1002.3, 23500 + 1002.3) =  (22497.7, 24502.3)

Confidence interval = 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

5 0
3 years ago
A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula? –12, –18
AlexFokin [52]
It is -16, 17.5, -19, ...
4 0
3 years ago
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