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natali 33 [55]
3 years ago
8

Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.f(x)=(3x-4)(-6x+5)

Mathematics
1 answer:
Umnica [9.8K]3 years ago
4 0
At first glance, it might be tempting to say this is a linear function, because we see linear terms (3x and –6x); however, these are multiplied together, so it's actually a quadratic. 

We need to expand the function (hint: use FOIL) to identify the terms.

f(x)=(3x-4)(-6x+5)=-18x^2+39x-20

The x^2-term, or quadratic term, is -18x^2. The x-term, or linear term, is 39x. The number term, or constant term, is –20.
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Hope this helps you! Happy thanksgiving, here's a turkey!

8 0
3 years ago
Write the number in exponent form
In-s [12.5K]

3. The Correct Answer is \frac{-2^2}{-6^3}


4. The Correct Answer Is \left(3^2\right)\left(-5^{\:2}\right)

7 0
3 years ago
2x + 4y = 15<br> 6x +12y = 45<br><br> What would the solution to the system of equations be?
Dimas [21]

Answer:

They both have an infinite number of solutions.

Step-by-step explanation:

Given system of equations:

a) 2x + 4y = 15

b) 6x + 12y = 45

Slope-intercept form: y = mx + b

<u>where:</u>

  • m is the slope
  • b is the y-intercept (when x = 0)

Rewrite <em>both</em> equations into slope-intercept form:

<em>a) 2x + 4y = 15 </em>

⇒ 2x + 4y = 15 [subtract 2x from both sides]

⇒ 2x - 2x + 4y = 15 - 2x

⇒ 4y = - 2x + 15 [divide both sides by 4]

⇒ 4y ÷ 4 = (-2x ÷ 4) + (15 ÷ 4)

\sf \implies y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75

<em>b) 6x + 12y = 45</em>

⇒ 6x + 12y = 45 [subtract 6x from both sides]

⇒ 6x - 6x + 12y = 45 - 6x

⇒ 12y = - 6x + 45 [divide both sides by 12]

⇒ 12y ÷ 12 = (-6x ÷ 12) + (45 ÷ 12)

\sf \implies y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75

New equations:

\sf a)\ y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75\\\\\sf b)\ y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75

Both equations have the same slope (-½), and y-intercept (3.75). Therefore, they both have an infinite number of solutions.

System of equations can have the following:

<u><em>No Solution:</em></u> the same slope (both lines will be parallel)

<u><em>One Solution:</em></u> different slopes and different y-intercepts

<u><em>Infinitely Many Solutions:</em></u> the same slope and y-intercept

Learn more about system of equations here:

brainly.com/question/19575460

brainly.com/question/12198631

7 0
2 years ago
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Frank and Linda just Finnished a meal and received their bill 47.60 they would like to leave their server with a 20 percent tip
Juli2301 [7.4K]

Answer:

1.20($47.60)

Step-by-step explanation:

The quickest way to address this problem is to combine 1($47.60) + 0.20($47.60) into the simpler expression (1+0.20)($47.60), or

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8 0
3 years ago
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const2013 [10]

Answer: A & C

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

x² - x - 30

            ∧

          1  -30 = -29

          2  -15 = -13

          3   -10 = -7

          5    -6 = -1     This is equal to the b-value of -1 so THIS WORKS!

(x + 5) (x - 6)

5 0
3 years ago
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