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rewona [7]
3 years ago
8

Graph the function and identify the domain and range. y = 0.5x2 A. domain: range: B. domain: range: C. domain: range: D. domain:

range:
Mathematics
1 answer:
vivado [14]3 years ago
4 0
The graph would be a parabola which passes through the origin and opens upwards
The domain is all Real x.

The range is  y >= 0
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What is the factored form of 5x2 − 18x − 8? (5x + 4)(x + 2) (5x + 2)(x − 4) (5x + 1)(x + 8) (5x + 1)(x − 8)
olya-2409 [2.1K]
Hello! So, this question is in the form of ax² - bx - c. First thingd first, let's multiply a and c together. c = -8 and a = 5. -8 * 5 is -40. Now, let's find two factors that have a product of 40, but a sum of 18. If you list the factors, you see that 2 and 20 have a product of 40, but  2 - 20 is -18. The factors we will use are -2 and 20.

How to factor it:

For this question, you can use something called a box method and factor it by finding a factor of each column and row. Just make 4 boxes and put 5x² on the top left and -40 on the bottom left box. Put 2x on the top right box and -20x on the bottom left box. Now, factor out for each row and column. The factors should be 5x + 2 for the top part and x - 4 for the side. It should look like (5x + 2)(x - 4). Let's check it. Solve it by using the FOIL method and you get 5x² - 20x + 2x - 8. Combine like terms and you get 5x² - 18x - 8. There. The answer is B: (5x + 2)(x - 4)

Note: The box method may be challenging at first, but it can be really helpful on problems like these.
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prisoha [69]

Answer:

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Step-by-step explanation:

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leva [86]

Answer: Y = -2x + 10

Step-by-step explanation:

You can find the slope by using the slope formula

which is y2 - y1 over x2 - y1

4 - 2 = 2

3 - 4 = -1     so the slope is -2/1 or just -2x

Now to find b we plug in any 2 points

0 = -2(5) + b

0 = -10 + b

add 10 to both sides so -10 cancels out

10 = b

or

b = 10 (same thing)

so the equation would be

y = -2x + 10

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What is the solution of x=2+ sqrt x-2
wariber [46]

Answer:

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Step-by-step explanation:

x=2+\sqrt{x-2} \\\\x-2=\sqrt{x-2} \\\\(x-2)^2=\pm(x-2) \\\\x^2-4x+4=\pm(x-2) \\\\

x^2-5x+6=0 OR x^2+3x+2=0

x=2 and 3

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Answer:

A insects and plants

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