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
krek1111 [17]
3 years ago
13

Solve x2 + 1/2x +1/16=4/9

Mathematics
1 answer:
kolezko [41]3 years ago
3 0

<u>Answer:</u>

x = 0.417 or x = -0.917

<u>Step-by-step explanation:</u>

We are given the following expression and we are to solve it for the variable x:

x ^2 + \frac { 1 } { 2 } x + \frac { 1 } { 1 6 } = \frac { 4 } { 9 }

We will find the least common multiple of 2. 6 and 9:

x^2 \times 144 +\frac{1}{2}x \times 144 +\frac{1}{16} \times 144 = \frac{4}{9} \times 144

Simplifying it to get:

144x^2+72x+9=64

144x^2+72x+9-64=0

144x^2+72x-55=0

Using the quadratic formula to solve for x:

x=\frac{-b \pm\sqrt{b^2-4ac} }{2a}

x=\frac{-72 \pm\sqrt{72^2-4(144)(-55)} }{2a}

x=\frac{5}{12} or 0.417

x=-\frac{11}{12} or -0.917

You might be interested in
Seventeen is three times the difference between four times a number and five
expeople1 [14]

17 = 3(4x - 5)

<em><u>Distributive property.</u></em>

17 = 12x - 15

<em><u>Add 15 to both sides.</u></em>

32 = 12x

<em><u>Divide both sides by 12.</u></em>

x = 2.67. (This is your answer.)

Let me know if you have any questions.

4 0
3 years ago
Find the value of an investment of $20,000 for 12 years at an annual interest rate of 3.85%
MatroZZZ [7]

Answer:

<h2> $31,745</h2>

Step-by-step explanation:

Compound continuously:

FVn = PV x e^rn

where

PV = $20,000

r = 3.85%

n = 12 years

plugin values into the formula:

FV₁₂ = $20,000 x e ⁰°⁰³⁸⁵ ⁽¹²⁾

FV₁₂ = $31,745

3 0
3 years ago
Find the lowest common denominator of 3/4 and 5/8 A. 16 B. 32 C. 8 D. 4.
Alekssandra [29.7K]
The answer is C. 8. Then both can have a denominator that looks like this..
6/8 and 5/8. Hope it helps!
6 0
3 years ago
Landen Company uses a single plantwide overhead rate of $100 per direct labor hour (DLH). Landen has two products as follows: ba
KATRIN_1 [288]

Answer:

$5,500

Step-by-step explanation:

Since Landen Company uses a single overhead rate of $100 per direct labor hour, the total amount allocated to the deluxe and basic chairs is given by the sum of the DLH used up for both products multiplied by the overhead rate:

A =(20+35)*\$100\\A=\$5,500

The total amount allocated to these products is $5,500.

8 0
3 years ago
If the perimeters of each shape are equal, which equation can be used to find the value of x?
Brums [2.3K]

Answer:

(x+2) + x + (x+4) = 2(1/2) + 2(x+3)

Step-by-step explanation:

They are equal to each other and the rectangle has 2x more perimeter

The triangle would be divided in half from that rectangle.

Sorry If this is confusing I am not very good at explaining things.

4 0
3 years ago
Other questions:
  • Can we conclude there is a difference in the mean number of surgeries performed by hospital or by day of the week?
    9·1 answer
  • Factor the polynomial: x(5x-8)-2(5x-8)
    8·1 answer
  • What is the slope of the line described by the equation below?y = 5x - 22A. -5B. 5C. 22D. -22
    9·1 answer
  • Sam buys 3 different types of fruit in 3/4 pounds basket. Maria has 1 1/4 pound fruit. How many pounds of fruit do they have alt
    7·2 answers
  • I need help ASAP make sure to plot it correctly
    5·1 answer
  • A retailer sold three cameras for rs 28500 and had a loss of 5%.find the cost price of each camera.
    9·1 answer
  • An element with a mass of 990 grams decays by 16.9% per minute. To the nearest
    7·1 answer
  • The 12 department chairs at Cedar H.S. represent the teaching staff. The principal assigns each chair a number and uses a random
    14·1 answer
  • Please help me, thank you
    12·1 answer
  • Nine buses hold 85 people each. If 693 people buy tickets for a trip, how many seats won’t be taken?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!