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
nata0808 [166]
3 years ago
15

Find all real solutions to (x^2+4)(x^3-4x^2-3x+12)=0

Mathematics
1 answer:
ad-work [718]3 years ago
4 0

Answer:

x=4 or x=1.732051 or x=−1.732051

Celebrating exactly 8,000 people helped

You might be interested in
Lisa's penny bank is 1/10 full. After she adds 440 pennies, it is 3/5 full. How many pennies can Lisa's bank hold?
Lisa [10]

First lets change the fractions so they have common denominators:

3/5 = 6/10

The bank was 1/10, after adding the pennies it was 6/10

6/10 - 1/10 = 5/10 = 1/2

This means 400 pennies filled 1/2 the piggy bank.

There are 2 halves (1/2) to a whole ( full piggy bank).

The piggy bank can hold 400 x 2 = 800 pennies.

5 0
3 years ago
A researcher claims that the mean cost of raising a child from birth to age 2 by husband­wife families in the U.S. is $13,960. A
irina1246 [14]

Answer:

Yes, there enough evidence to reject the claim.

Step-by-step explanation:

Here we need to perform a test for single mean to determine whether the  mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960.

The hypothesis is:

<em>H₀</em>: The  mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960, i.e. µ = $13,960.

<em>Hₐ</em>: The  mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is different from $13,960, i.e. µ ≠ $13,960.

The information provided is:

\ar x=13725\\\sigma=2345\\n=500\\\alpha =0.10

The test statistic is:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}=\frac{13725-13960}{2345/\sqrt{500}}=-2.24

The test statistic value is -2.24.

Compute the <em>p</em>-value for this test statistic value at 10% level of significance as follows:

p-value=2\times P(Z

               =2\times 0.01255\\=0.0251

Use the <em>z</em>-table.

The calculated <em>p</em>-value is, 0.0251 < 0.10, therefore the null hypothesis will be rejected.

<u>Conclusion</u>:

As the null hypothesis is rejected at 10% level of significance it can be concluded that there enough evidence to reject the claim.

The  mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is different from $13,960.

5 0
3 years ago
Lee is staying at a hotel. The cost of the first night is $240. The cost for each night after that is $210. Let y represent the
sveticcg [70]

Answer:

The situation represents the arithmetic sequence

Step-by-step explanation:

∵ The cost of the first night is $240

∵ The cost of each night after the first is $210

∵ The number of nights is x

∵ The total cost of staying at the hotel x nights is y

∴ y = 240 + 210(x - 1)

Put x = 1 , 2 , 3, 4 and then check the type of the sequence

∴ y = 240 + 210(1 - 1) = 240

∴ y = 240 + 210(2 - 1) = 450

∴ y = 240 + 210(3 - 1) = 660

∴ y = 240 + 210(4 - 1) = 870

∵ The difference between each two consecutive terms are constant

  (450 - 240 = 210 , 660 - 450 = 210 , 870 - 660 = 210)

∴ The sequence is arithmetic sequence

6 0
3 years ago
Read 2 more answers
For which equation is a = 4 not the solution?<br><br> 9 a = 36<br> 5 a = 54<br> 8 a = 32
Shalnov [3]
The correct answer is 5a = 54
5 0
2 years ago
Read 2 more answers
Find the area .............​
Natali5045456 [20]

Answer:

Area of the Trapezoid is=  13.5cm^2

Step-by-step explanation:

The given figure is in the shape of a trapezoid:

Area of a trapezoid= (1/2)*(Sum of parallel opposite sides)* (Distance between the parallel sides)

The parallel sides are: 6 cm and 3 cm

Distance between parallel sides= 3 cm

Area:

                    =\frac{1}{2} *(6+3)*3\\\\=\frac{1}{2}*9*3\\\\=\frac{27}{2} \\\\=13.5 cm^2

Area of the Trapezoid is=  13.5cm^2

5 0
3 years ago
Other questions:
  • The sum of 1-3/4 6-3/8 and 1-23/32
    10·1 answer
  • If you have sea water, you can make salt. <br><br> What is the contrapositive of this statement?
    7·1 answer
  • What is log7 1 equal to
    7·1 answer
  • (4x + 7) and (2x − 8)
    9·1 answer
  • The rectangle below has a area of 160in2 find the one that is Not true
    6·1 answer
  • Hey can you help me fast!!
    6·2 answers
  • Help me fast.
    15·1 answer
  • Welder A charges $300 for every 4 hours of labor. Welder B charges $240 for every 3 hours of labor. Which welder offers a better
    5·2 answers
  • Fill in the boxes using the whole numbers 1 through 9 to make the biggest 3
    14·1 answer
  • Find the first 4 terms of the sequence.t(n) = -3n- 1b. t(15)=
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!