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zysi [14]
3 years ago
8

Identify the function shown in this graph.

Mathematics
1 answer:
Westkost [7]3 years ago
7 0

Answer:

b

Step-by-step explanation:

B.................

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What is 8(9f+5) in simplest form?
bulgar [2K]

Answer:

72f+40

Step-by-step explanation:

3 0
3 years ago
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If g(x) = x^2 + 6x with x ≥ -3, find g ^-1(0).
Dvinal [7]

Answer: 0

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

g(x) = x² + 6x   ; x ≥ -3

To find the inverse, swap the x's and y's and solve for "y":

    x = y² + 6y

x + 9 = y² + 6y + 9   <em>add 9 to both sides to create a perfect square</em>

x + 9 = (y + 3)²

+/-\sqrt{x+9} = y + 3   <em>take square root of both sides</em>

-3 +/-\sqrt{x+9} = y    ; y ≥ -3

g⁻¹(0) = -3 +/-\sqrt{0+9}

        = -3 +/-\sqrt{9}

        = -3 ± 3

        = -3 + 3   ,   -3 - 3

        =     0      ,      -6

since the restriction is: y ≥ -3, then -6 is not valid

4 0
3 years ago
What is the common difference for this arithmetic sequence 29,42,55,68,
Licemer1 [7]

29+13

42+13

55+13

68+13

XD

6 0
3 years ago
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The angle θ lies in quadrant ii. cos θ = -2/3 what is tan θ?
Alina [70]

Answer:

-√5/2

Explanation: I took the quiz.

5 0
3 years ago
Let z = ln(x 2 + y), x = ret . and y = ter . Use the Chain Rule to compute ∂z ∂r and ∂z ∂t at the point where (r, t) = (1, 2).\
Natali [406]

By the chain rule,

\dfrac{\partial z}{\partial u}=\dfrac{\partial z}{\partial x}\dfrac{\partial x}{\partial u}+\dfrac{\partial z}{\partial y}\dfrac{\partial y}{\partial u}

where u\in\{r,t\}.

We have component partial derivatives

\dfrac{\partial z}{\partial x}=\dfrac{2x}{x^2+y}=\dfrac{2re^t}{r^2e^{2t}+te^r}

\dfrac{\partial z}{\partial y}=\dfrac1{x^2+y}=\dfrac1{r^2e^{2t}+te^r}

\dfrac{\partial x}{\partial r}=e^t

\dfrac{\partial x}{\partial t}=re^t

\dfrac{\partial y}{\partial r}=te^r

\dfrac{\partial y}{\partial t}=e^r

Putting the appropriate pieces together and setting (r,t)=(1,2), we get

\dfrac{\partial z}{\partial r}(1,2)=\dfrac{2e^3+2}{e^3+2}

\dfrac{\partial z}{\partial t}(1,2)=\dfrac{2e^3+1}{e^3+2}

3 0
3 years ago
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