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arsen [322]
3 years ago
5

Which statement is true regarding the graphed functions?

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
5 0

Answer:

f(0) = g(0)

Step-by-step explanation:

From the graph, f(x) and g(x) are two linear function or straight line.

They intersect at (0,-2).

So point (0,-2) is the solution to the system of linear equations.

Solution or point of intersection must satisfies the equations.

In both the case,

f(0)=-2 and g(0)=-2

Therefore, option 1 is the correct answer.

Marina86 [1]3 years ago
3 0

Answer: option first, f(0)=g(0) is true statement.

Explanation:

Since, According to the given graph, for the given function f(x), values of  f(0)=-2 and f(-2)=4

While, for the given function g(x), values of g(0)=-2 and g(-2)=-4

So, we can say that f(0)=g(0)=-2

But, f(-2)≠g(-2), f(0)≠f(-2) and f(-2)≠g(0)

Thus, f(0)=g(0) is true.

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Let F⃗ =2(x+y)i⃗ +8sin(y)j⃗ .
Alik [6]

Answer:

-42

Step-by-step explanation:

The objective is to find the line integral of F around the perimeter of the rectangle with corners (4,0), (4,3), (−3,3), (−3,0), traversed in that order.

We will use <em>the Green's Theorem </em>to evaluate this integral. The rectangle is presented below.

We have that

           F(x,y) = 2(x+y)i + 8j \sin y = \langle 2(x+y), 8\sin y \rangle

Therefore,

                  P(x,y) = 2(x+y) \quad \wedge \quad Q(x,y) = 8\sin y

Let's calculate the needed partial derivatives.

                              P_y = \frac{\partial P}{\partial y} (x,y) = (2(x+y))'_y = 2\\Q_x =\frac{\partial Q}{\partial x} (x,y) = (8\sin y)'_x = 0

Thus,

                                    Q_x -P_y = 0 -2 = - 2

Now, by the Green's theorem, we have

\oint_C F \,dr = \iint_D (Q_x-P_y)\,dA = \int \limits_{-3}^{4} \int \limits_{0}^{3} (-2)\,dy\, dx \\ \\\phantom{\oint_C F \,dr = \iint_D (Q_x-P_y)\,dA}= \int \limits_{-3}^{4} (-2y) \Big|_{0}^{3} \; dx\\ \phantom{\oint_C F \,dr = \iint_D (Q_x-P_y)\,dA}= \int \limits_{-3}^{4} (-6)\; dx = -6x  \Big|_{-3}^{4} = -42

4 0
3 years ago
The sum of two numbers is at most 12, and the sum of 3 times the first number and 8 times the second number is at least 48 selec
Sever21 [200]

Answer:

(4,8)

Step-by-step explanation:

4 + 8 = 12

3(4) + 8(8)

= 12 + 64

= 76

6 0
2 years ago
What is the multiplicative inverse of -5 1/2​
stira [4]

Answer:

idk

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What 89337 times 8<br><br> A-888998<br><br> B-903842<br><br> C-714696<br><br> D-847839
Romashka [77]

Answer:

C   714,696

Step-by-step explanation:

89,337 x 8 =

3 0
3 years ago
I need help asp . I'm running out of time​
frutty [35]

Answer:

A = 104 ft²

Step-by-step explanation:

We're given that the width of the rectangle is 8 so that's the value of w. All we have to do is just plug in 8 into the equation:

A=w²+5w

A=(8)²+5(8)

A=64+40

A = 104 ft²

7 0
3 years ago
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