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Ipatiy [6.2K]
3 years ago
9

Find the equation of the line with slope 2 and y-intercept (0,−1).

Mathematics
1 answer:
Doss [256]3 years ago
8 0

Answer:

2x-y = 1

Step-by-step explanation:

Equation of the line is y-y1 = m (x-x1), where m is the slope and (x1,y1) is a point that lies on the line.

Equation of the given line is,

y-(-1) = 2 *(x-0)

y+1 = 2x

2x-y = 1

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3 years ago
What best describes the end behavior of the graph of f(x)=-x^4+5x-5
Neko [114]

Answer:

It describes multiplication

Step-by-step explanation:

As you can see its 5x-5 (the x is say "by" or "of), So when you look at it you can clearly see it's multiplication.

8 0
3 years ago
What is the total surface area of the square pyramid in square inches
sladkih [1.3K]
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8 0
3 years ago
If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on
Nadya [2.5K]

Answer:

 \frac{dy}{dt}  = 102

Step-by-step explanation:

<u>step(i)</u>

Given function y = 3 x³ - 2 x  ... (i)

Differentiating equation (i) with respective to 'x'

    \frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)

Given x = -2

(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)

(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34

<u><em>Step(ii):-</em></u>

<u><em>we know that </em></u>

                     \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

Given    \frac{dx}{dt} = 3  and \frac{dy}{dx} = 34

                  \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

substitute values    \frac{dx}{dt} = 3  and \frac{dy}{dx} = 34  

           ⇒        34 = \frac{\frac{dy}{dt} }{3 }

cross multiplication , we get

                      \frac{dy}{dt} = 34( 3 ) = 102

<u><em>Final answer</em></u>:-

 \frac{dy}{dt} = 34( 3 ) = 102

8 0
3 years ago
Jim has 12 colored papers 8 bows 2 different colored markers and 2 envelopes How many different cards can Jim make
ikadub [295]
384 because 12*8=96*2=192*2=384
8 0
3 years ago
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