1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dangina [55]
3 years ago
14

How do you solve polynomial equation by factoring 2x^3 - 12x^2 = 32x - 192

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
7 0
2x^3 - 12x^2 = 32x - 192\\
2x^3-12x^2-32x+192=0\\
2(x^3-6x^2-16x+96)=0\\
2(x^2(x-6)-16(x-6))=0\\
2(x^2-16)(x-6)=0\\
2(x-4)(x+4)(x-6)=0\\
x=4 \vee x=-4 \vee x=6
You might be interested in
In the triangle below, what is the length of Ac?<br> B<br> 60°<br> 14<br> 60°<br> 60°<br> А<br> с
Katena32 [7]

Answer:

A-14

Step-by-step explanation:

All the angles of the triangle ABC are 60°.

Therefore it is an equilateral triangle.

All sides of an equilateral triangle are equal.

Hence, AC = 14

3 0
2 years ago
If f(x)=x+6 and g(x)=x^4 find G(F(x))
Novay_Z [31]

You plug in f(x) into where x is within g(x) so you get G(f(x))=(X+6)^4

3 0
3 years ago
Read 2 more answers
Hypothesis Testing for Means with Small Samples
Scorpion4ik [409]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: volume of root beer in a Windsor Bottling Company can.

A sample of n=24 cans was taken and their contents measured, resulting:

X[bar]= 11.4 oz

S= 0.62 oz

Assuming that the variable has a normal distribution X~N(μ;σ²), the parameter of interest is the average contents of the root beer cans of the Windsor Bottling Company (μ)

The claim is that the population mean content of the cans is different from 12 oz, symbolically: μ ≠ 12

The statistical hypothesis (Null and alternative) have to be complementary, exhaustive and mutually exclusive. The null hypothesis is the "no change" hypothesis and always carries the "=" sign.

If the claim is μ ≠ 12, its complement is μ = 12, the expression carrying the "=" sign will be the null hypothesis and its complement will be the alternative hypothesis:

H₀: μ = 12

H₁: μ ≠ 12

α: 0.05

To test the population mean of this normal population, you have to apply a one sample t-test, with statistic:

t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}

t_{H_0}= \frac{11.4-12}{\frac{0.62}{\sqrt{24} } } = -4.74

This test is two-tailed, using the critical value approach, you have to determine two rejection regions. Meaning, you'll reject the null hypothesis to small values of the statistic or to high values of the statistic.

t_{n-1;\alpha /2}= t_{23;0.025}= -2.069

t_{n-1;1-\alpha /2}= t_{23;0.975}= 2.069

The decision rule is:

If t_{H_0} ≤ -2.069 or if t_{H_0} ≥ 2.069, then you reject the null hypothesis.

If -2.069 < t_{H_0} < 2.069, then you do not reject the null hypothesis.

The value is less than the left critical value, the decision is to reject the null hypothesis.

Then you can say that with a 5% significance level, there is significant evidence to reject the null hypothesis, then the average amount of root beer of the Windsor Bottling Company is different from 12 oz, this means that the claim about the amount of root beer in the cans is correct.

I hope it helps!

6 0
3 years ago
Determine the product: (46.2 × 10–1) ⋅ (5.7 × 10–6). Write your answer in scientific notation.
lianna [129]

Answer:

A

Step-by-step explanation:

10-6 X 10-1 = 10-7

5.7*46.2=263.34

263.34=2.6334 x 10^2

10^2 x 10^-7 = 10^-5

so

=2.6334 x 10-5

7 0
3 years ago
A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on this m
Ilya [14]

Answer:

Salamander Trail is longer than Great Oak Trail

Step-by-step explanation:

The given parameters are;

The scale of the map is 36 mi = 6 cm

The length of Great Oak Trail = 4.5 cm

The scale of a different map is 24 mi = 3 cm

The length of Salamander Trail = 3.5 cm

Therefore, we have;

The actual length of Great Oak Trail based on the first map is given as follows;

36 mi = 6 cm

6 cm = 36 mi

1 cm = 36 mi/6 = 6 mi

4.5 cm = 4.5 × 6 mi = 27 mi

The actual length of Salamander Trail based on the second  map is given as follows;

24 mi = 3 cm

3 cm = 24 mi

1 cm = 24 mi/3 = 8 mi

3.5 cm = 3.5 × 8 mi = 28 mi

Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.

7 0
3 years ago
Other questions:
  • Sophia earns $12 per hour working in an office plus $5 dollars for parking fees. She uses the function e = 12h + 5 to represents
    12·1 answer
  • Eight subtracted from a number is twelve
    6·2 answers
  • If ∆JKL ≅ ∆PQR, which one of these is not a pair of corresponding parts? ​∠J and ∠P​ and ​∠L and ∠R​ and
    8·1 answer
  • On our way to physical her parents Jennifer drives 265 miles in five hours what is her average rate of ace of speed in miles per
    15·1 answer
  • Bless me with the answers
    10·1 answer
  • Given the diagram below, if ellf, m&lt;1=350 m&lt;2=95°, m&lt;3=85°, and
    7·2 answers
  • I WILL MARK BRAINLIST
    12·1 answer
  • We can use the formular-
    11·1 answer
  • Karen will run more than 35 miles this week. So far, she has run 17 miles. What are the possible numbers of additional miles she
    13·1 answer
  • Question 3 1 Marge is making a chocolate cake to surprise the best nend. She needs 3 1/2cups of four but she only has 1/3cup. Ho
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!