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
masya89 [10]
3 years ago
10

In the process of completing the square, 3x2 + 7x - 12 becomes x^2+7/4x=4 true or false

Mathematics
2 answers:
Tema [17]3 years ago
8 0

The statement “In the process of completing the square, 3x2 + 7x - 12 becomes x^2+7/4x=4” is FALSE. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Alik [6]3 years ago
6 0

Answer:

False.

because in the process of completing the square, 3x^2+7x-12 = 0 become x^2+\frac{7}{3}x = 4 but not x^2+\frac{7}{4}x = 4

Step-by-step explanation:

Given the equation: 3x^2+7x-12 = 0

Divide both sides by 3 we get;

x^2+\frac{7}{3}x -4=0

Add 4 to both sides we have;

x^2+\frac{7}{3}x -4+4=0+4

Simplify:

x^2+\frac{7}{3}x = 4

In the process of completing the square, 3x^2+7x-12 = 0 becomes x^2+\frac{7}{3}x = 4  not x^2+\frac{7}{4}x = 4

Therefore, the statement is FALSE.

You might be interested in
Pls help me how do I write 20,484,163 in expanded form I'm only in 2nd grade
mestny [16]

Answer:

twenty thousand four hundred and eight four one hundred and sixty four

7 0
3 years ago
Read 2 more answers
Plz help me I am bad at math!
Marianna [84]

Answer:

<h2>A.) 3 6/8</h2>

Step-by-step explanation:

<h2>follow me</h2>

please

5 0
3 years ago
Read 2 more answers
The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price
likoan [24]

Answer:

A)  3%

B)  Product A

Step-by-step explanation:

<u>Exponential Function</u>

General form of an exponential function: y=ab^x

where:

  • a is the initial value (y-intercept)
  • b is the base (growth/decay factor) in decimal form
  • x is the independent variable
  • y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

<u>Part A</u>

<u>Product A</u>

Assuming the function for Product A is <u>exponential</u>:

f(x) = 0.69(1.03)^x

The base (b) is 1.03.  As b > 1 then it is an <u>increasing function</u>.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, <u>product A is increasing by 3% each year.</u>

<u>Part B</u>

\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%

Check using different two consecutive values of f(t):

\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%

Therefore, as 3% > 1%, <u>Product A recorded a greater percentage change</u> in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

  • a = 10,100
  • b = 1.01
  • n = t - 1 (as the initial value is for t = 1 not t = 0)

\implies f(t) = 10100(1.01)^{t-1}

To check this, substitute the values of t for 1 through 4 into the found function:

\implies f(1) = 10100(1.01)^{1-1}=10100

\implies f(2) = 10100(1.01)^{2-1}=10201

\implies f(3) = 10100(1.01)^{3-1}=10303.01

\implies f(4) = 10100(1.01)^{4-1}=10406.04

As these values match the values in the given table, this confirms that the found function for Product B is correct and that <u>Product B increases by 1% per year.</u>

4 0
2 years ago
Write the slope intercept form of the equation of the line through the given point with the given slope through (-2,5),slope-3/2
hjlf
Answer: y= -3/2x + 2
y= -3/2 + b
5 = -3/2 * -2 + b
5 = 3 + b
2 = b
6 0
3 years ago
This isosceles triangle has two sides of equal length , a, that are longer than the length of the base , b. The perimeter of the
Sholpan [36]
We are give the equation of the perimeter of the triangle as follows:
2a + b = 15.7 
where b represents the base.

Now, if we want to calculate the length of the base, all we have to do is isolate the b in one side of the equation as follows:
b = 15.7 - 2a

We know that a = 6.3 cm, therefore, the length of the base can be calculated as follows:
b = 15.7 - 2(6.3) = 3.1 cm
4 0
4 years ago
Other questions:
  • What is interpretation
    5·2 answers
  • Which shape has opposite sides that are parallel and 4 sides that are always the same length? A. parallelogram B. rhombus C. tra
    7·1 answer
  • David, Malachy and Paul share some sweets in the ratio 5:4:1. David gets 20 more sweets than Paul. How many sweets does Malachy
    7·1 answer
  • Which description describes this equation?<br> 7x-2=33
    5·1 answer
  • Square of 9 less than a number is 3 less than the number
    11·2 answers
  • Here are 12 boys and 8 girls in a class.
    12·2 answers
  • G(m) = m3 - 10m² + 25m + 2 at m = 6.
    5·1 answer
  • In order for Figure Y to be similar to Figure X,<br> the scale factor would be?
    10·1 answer
  • Write the equation of the line that
    11·1 answer
  • To which set of numbers does -1.2 belong?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!