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pav-90 [236]
3 years ago
10

How do i solve 4x^2-9?

Mathematics
2 answers:
BabaBlast [244]3 years ago
5 0
Use the PEMDAS method!
Irina18 [472]3 years ago
3 0

Answer:

x = 3/2 or x = -3/2

Step-by-step explanation:

Solve for x over the real numbers:

4 x^2 - 9 = 0

The left hand side factors into a product with two terms:

(2 x - 3) (2 x + 3) = 0

Split into two equations:

2 x - 3 = 0 or 2 x + 3 = 0

Add 3 to both sides:

2 x = 3 or 2 x + 3 = 0

Divide both sides by 2:

x = 3/2 or 2 x + 3 = 0

Subtract 3 from both sides:

x = 3/2 or 2 x = -3

Divide both sides by 2:

Answer:  x = 3/2 or x = -3/2

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Math! :( no links answer correct for brainliest!
dem82 [27]
90 squareroot 2
In decimal form it’s 127.27922
4 0
3 years ago
Consider the quadratic function f(x)=x²-5x+12. Which statements are true about the function and its
finlep [7]

There is only one statement that is true: B. The graph of the function is a parabola.

<h3>How to study and interpret the characteristics of quadratic equations</h3>

In this question we have a <em>quadratic</em> equation, whose characteristics have to be inferred and analyzed. We need to prove each of the five choices presented in the statement:

Choice A:

If we know that x = - 10, then we evaluated it at the function:

f(- 10) = (- 10)² - 5 · (- 10) + 12

f(- 10) = 162

False

Choice B:

By analytical geometry we know that all functions of the form y = a · x² + b · x + c always represent parabolae.

True

Choice C:

The <em>quadratic</em> function opens up as its <em>leading</em> coefficient is greater that 0.

False

Choice D:

If we know that x = 20, then we evaluate it at the function:

f(20) = 20² - 5 · (20) + 12

f(20) = 312

False

Choice E:

If we know that x = 0, then we evaluate it at the function:

f(0) = 0² - 5 · (0) + 12

f(0) = 12

There is only one statement that is true: B. The graph of the function is a parabola.

To learn more on quadratic equations: brainly.com/question/1863222

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2 years ago
In each of the following, determine a possible pattern and draw the next figure according to that pattern if the sequence contin
Yakvenalex [24]

Answer

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2. A

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6 0
3 years ago
P and a are both prime numbers. Find the values of p and q so that 6*54*p/q is a perfect cube.
daser333 [38]

6x54= 324

6x50=300

6x4=24

300+24=324

The previous nearest cube root is 216 and the next cube root would be 343.

p/q could be any prime number which there are a lot of.

im going to say p is 1 and q is 3

next you would divide 1 by 3

1/3=0.666666667

324x0.666666667=216 exact

3 0
3 years ago
Which equation matches the given points? (0, 7.6), (1, 6.2), (2, 4.8), (3, 3.4), (4,2)
Cerrena [4.2K]

The equation that matches the given points is g(x) = -1.4x + 7.6

The standard form of a linear  equation is expressed as g(x)=mx + b

  • m is the slope of the line
  • b is the y-intercept:

Using the coordinate points (3, 3.4), (4,2)

m=\frac{2-3.4}{4-3}\\m=\frac{-1.4}{1}\\m=-1.4

Substitute m = -1.4 and the coordinate (4, 2) into the formula:

2=4(-1.4)+b\\2=-5.6+b\\b=2+5.6\\b=7.6

Get the required equation:

g(x)=mx+b\\g(x)=-1.4x+7.6

Hence the equation that matches the given points is g(x) = -1.4x + 7.6

Learn more on equation of a line here; brainly.com/question/9351428

4 0
3 years ago
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