Which of these shows the complete factorization of 6x^2y^2-9xy-42

Mathematics

1 answer:

sineoko [7]2 years ago

4 0

Answer:

3 • (2xy - 7) • (xy + 2)

Step-by-step explanation:

(((2•3x2) • y2) - 9xy) - 42

6x2y2 - 9xy - 42 = 3 • (2x2y2 - 3xy - 14)

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Write an equation whose graph has intercepts at x= -4 and x= 4 and is symmetric with respect to the origin.

Allushta [10]

Since the x-intercepts are already given, we can figure out the equation of a line quite easily.
it would be:
(x-4)(x+4)=y
if you want it not in factored form, just distribute the terms. you will get:
x^2-16=y

both are the same thing, just in different forms.
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7 0

3 years ago

Under certain conditions, the number of bacteria present in a colony is approximated by f(t) = Age 0.023t, where t is in minutes

AleksandrR [38]

Answer:

5 min: 3,029,058
10 min: 3,398,220
60 min: 10,732,234

Step-by-step explanation:

The given function is evaluated by substituting the given values of t. This requires using the exponential function of your calculator with a base of 'e'. Many calculators have that value built in, or have an e^x function (often associated with the Ln function).

<h3>5 minutes</h3>

The number of bacteria present after 5 minutes is about ...

f(5) = 2.7×10^6×e^(0.023×5) ≈ 3,029,058

<h3>10 minutes</h3>

The number of bacteria present after 10 minutes is about ...

f(10) = 2.7×10^6×e^(0.023×10) ≈ 3,398,220

<h3>60 minutes</h3>

The number of bacteria present after 60 minutes is about ...

f(60) = 2.7×10^6×e^(0.023×60) ≈ 10,732,234

8 0

2 years ago

What is the solution to the system of equations? Use the substitution method. {y=−2x+53x−4y=2

klio [65]

$y = - 2x + 53x - 4y = 2 \\ y = 51x - 4y = 2 \\ > y = 51 x - 4y \\ > 51x - 4y = 2$
$y = 51x - 4y \\ 5y = 51x \\ y = \frac{51}{5} x$
Substitute 51/5x into
$51x - 4( \frac{51}{5} x) = 2 \\ 51x - 40.8x = 2 \\ 10.2x = 2 \\ x = 2 \times \frac{10}{102} \\ x = \frac{10}{51} \: aka \: 0.196$
Substitute that into
$y = \frac{51}{5} \times \frac{10}{51} \\ y = 2$
Hope this helps. Answer should be correct. Unless your quadratic equation is wrongly stated.

8 0

2 years ago

If x^2=20 what is the value of x will give brainliest for answer

Schach [20]

Answer:

x² - 20 = 0

Using the quadratic formula

$x = \frac{ - b± \sqrt{( {b})^{2} - 4ac } }{2a}$

a = 1 b = 0 c = -20

So we have

$x = \frac{ - 0 ± \sqrt{ {0}^{2} - 4(1)( -20)} }{2(1)} \\ \\ x = \frac{± \sqrt{80} }{2} \\ \\ x = \frac{±4 \sqrt{5} }{2} \\ \\ \\ x = ±2 \sqrt{5} \\ \\ \\ x = 2 \sqrt{5} \: \: \: or \: \: \: x = - 2 \sqrt{5}$