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
Ber [7]
3 years ago
12

Use substitution to write an equivalent quadiatic equation ( 3x^2)^2+7(3x +2) -8=0

Mathematics
1 answer:
mezya [45]3 years ago
7 0

Answer:

9x^4+21x+6=0

Step-by-step explanation:

( 3x^2)^2+7(3x +2) -8=0

((3^2)*(x^2)^2)+(7*3x)+(7*2)-8=0

9(x^4)+21x+14-8=0

9x^4+21x+6=0

You might be interested in
Can the sides of a triangle have lengths 1, 1, and 4?
qaws [65]
No, because the hypotenuse needs to be three. It would be true if the lengths were 2, 2, 4
8 0
3 years ago
Two possible solutions of √11-2x=√x^2+4x+4 are –7 and 1. Which statement is true? A) Only x = –7 is an extraneous solution.
11111nata11111 [884]

Answer:

Option D)Neither solution is extraneous.

Step-by-step explanation:

we have

\sqrt{11-2x}=\sqrt{x^{2}+4x+4}

we know that

two possible solutions are x=-7 and x=1

<u><em>Verify each solution</em></u>

Substitute each value of x in the expression above and interpret the results

1) For x=-7

\sqrt{11-2(-7)}=\sqrt{-7^{2}+4(-7)+4}

\sqrt{25}=\sqrt{25}

5=5 ----> is true

therefore

x=-7 is not a an extraneous solution

2) For x=1

\sqrt{11-2(1)}=\sqrt{1^{2}+4(1)+4}

\sqrt{9}=\sqrt{9}

3=3 ----> is true

therefore

x=1 is not a an extraneous solution

therefore

Neither solution is extraneous

7 0
3 years ago
Read 2 more answers
Find the future value and interest earned if $8704.56 is invested for 8 years at 4% compounded (a) semiannually and (b) continuo
Sliva [168]

a) The future value, principal plus interest, with compound interest on a principal of $8,704.56 at a rate of 4% per year compounded 2 times per year over 8 years is <u>$11,949.50</u>.

b) The future value, principal plus interest, with compound interest on a principal of $8,704.56 at a rate of 4% per year compounded continuously over 8 years is <u>$11,987.29</u>.

<h3>How is the future value determined?</h3>

The future value can be determined using an online finance calculator.

Data and Calculations:

<h3>a) Compounded Semiannually:</h3>

Principal (P): $8,704.56

Annual Rate (R): 4%

Compound (n): Compounding Semi-Annually

Time (t in years): 8 years

<u>Result</u>:

A = $11,949.50

A = P + I where

P (principal) = $8,704.56

I (interest) = $3,244.94

<h3>Calculation Steps:</h3>

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 8,704.56(1 + 0.04/2)(2)(8)

A = 8,704.56(1 + 0.02)(16)

A = $11,949.50

<h3>b) Compounded Continuously:</h3>

Using the formula A = Pert

Principal (P):  $8,704.56

Annual Rate (R): 4%

Compound (n): Compounding Continuously

Time (t in years):   8 years

<u>Result</u>:

A = $11,987.29

A = P + I where

P (principal) = $8,704.56

I (interest) = $3,282.73

<h3>Calculation Steps:</h3>

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year,

Then solve the equation for A, using the mathematical constant, e = 2.71828

A = Pert

A = 8,704.56(2.71828)(0.04)(8)

A = $11,987.29

Thus, while the future value of $8,704.56 at a rate of 4% per year compounded semiannually over 8 years is <u>$11,949.50</u>,  the future value of $8,704.56 at a rate of 4% per year compounded continuously over 8 years is <u>$11,987.29</u>.

Learn more about compounding interest at brainly.com/question/24274034

#SPJ1

8 0
2 years ago
Tanya is training a turtle for a race. For every 1/2 of an hour that the turtle is crawling, he can travel 3/20 of a mile. At wh
vazorg [7]

Answer:

\frac{6}{20} \ mile\ per\ hour

Step-by-step explanation:

Given:

For every 1/2 of an hour that the turtle is crawling, he can travel 3/20 of a mile

Question asked:

At what unit rate is the turtle crawling?

Solution:

As here<u> time taken is given</u> and the <u>distance traveled is also given </u>and hence we will apply speed and distance formula to find rate of crawling of turtle.

Time taken by turtle = \frac{1}{2} \ hour

Distance which can be traveled by turtle = \frac{3}{20} \ miles

Speed =\frac{Distance}{Time}

         =\frac{3}{20} \div\frac{1}{2} \\\\ =\frac{3}{20} \times\frac{2}{1} \\ \\ =\frac{6}{20}

Therefore, the rate at which the turtle is crawling is \frac{6}{20} \ mile\ per\ hour

4 0
3 years ago
How can you tell if an ordered pair is a solution of a system of linear equations by examining the graphs of the equations?
BlackZzzverrR [31]

Answer:

A.) Both lines pass through the point represented by the ordered pair

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • You owe 1200 on your credit card which charges 1.5 per month
    11·1 answer
  • Solve for p.<br><br><br><br><br><br><br> p <br> 4 <br><br> – -15 <br> = 18
    13·1 answer
  • Write this number in expanded form 73,489
    14·2 answers
  • Factor the polynomial completely using the x method. x^2 + 11x + 24
    15·1 answer
  • Help please thanks!!!
    13·2 answers
  • 12)Write an equation for a line in<br> slope-intercept form passes<br> through (3, 3) and (-6,-3).
    6·1 answer
  • Given a triangle with side lengths of a, b, and c, where c is the longest side, which statement is true?
    12·2 answers
  • Ernie walked 1 1/4 miles from his cabin to a park, then 1 1/2 miles around the park, and then back to his cabin. How many miles
    12·1 answer
  • The scores for two golf teams are shown below as dot plots
    5·1 answer
  • Please help me with this question!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!