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Serggg [28]
3 years ago
6

The function f(x) = (x − 4)(x − 2) is shown.What is the range of the function?

Mathematics
1 answer:
yuradex [85]3 years ago
3 0

Answer:

The range is y ≥ -1

Step-by-step explanation:

∵ f(x) = (x - 4)(x - 2)

∴ f(x) = x² - 2x - 4x + 8

∴ f(x) = x² - 6x + 8 ⇒ quadratic function (ax² + bx + c) represented by

   parabola graphically

∵ a = 1 , b = -6 , c = 8

∴ x-coordinate of its vertex = -b/2a = -(-6)/2×1 = 3

∴ f(3) = (3)² - 6(3) + 8 = -1

∵ a is positive ⇒ the curve has minimum point and it's open upward

∴ the minimum point is (3 , -1)

∴ The range is y ≥ -1 ⇒ because the minimum value is -1

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Her change is -20ft.

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Which equation represents the line that has a slope of 4 and passes through the point (2, 7)?​
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Answer:

The answer is y = 4x - 1.

Step-by-step explanation:

☆The equation we'll be using: y = mx + b

☆Since we already have the slope. we have to find the y-intercept.

☆y = mx + b \\  \\ 7 = 4(2) + b \\  7 = 8 + b \\  \frac{ - 8 =  - 8 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }{ - 1 = b \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }

☆Using the information we gathered and was given, we just to put them together.

☆y = 4x - 1

3 0
3 years ago
2x - 1 = 7 solved using algebra steps
prisoha [69]
First add like terms in this case 1+7=8. Then then divide. 2x/8= 4. X=4
3 0
3 years ago
Please help me solveeeee
elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

I think the only way you can solve this is to assume that <R means PRT in the given ratio. If I am wrong, I don't think the problem can be solved.

Find <T

Let <T = x

and <PRT = 3x

KLMN is a Parallelagram and therefore two adjacent angles are supplementary.

<PRT + <T = 180 degress

3x + x = 180 degrees

4x = 180

x = 45

So <T = 45

<PRT = 3*45 = 135

If RD is perpendicular to PS then <PDR = 90o

Here's the trick.

RD is also Perpendicular to RT

<MRD + <MRT = 90

<MRT = 180 - 90 - <T

<MRT = 180 - 90 - 45

<MRT = 45

Here comes your answer

=================

<MRD + MRT = 90

<MRD + 45 = 90

<MRD = 45

====================

Note: you must ignore everything to do with the diagram. It is not drawn to scale and the letters are not the same as in the question. The only thing you use is that the figure is a ||gm

8 0
3 years ago
X^2-3x-18 in simplest form
Kay [80]

= x ^{2}  - 3x - 18 \\  =x ^{2}  - (6 - 3)x - 18 \\  = x ^{2}  - 6x + 3x - 18 \\  = x(x - 6) + 3(x - 6)  \\ = (x - 6)(x + 3)

4 0
3 years ago
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