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Sergio039 [100]
3 years ago
14

Consider the linear equation y=4x-7 find the value of y that makes the given ordered pair a solution to the equation (3, y) Y=

Mathematics
1 answer:
olchik [2.2K]3 years ago
3 0
Y = 4x - 7 is a line with a slope of 4 and y-intercept of -7.

plug in any X value, for example 1 and you get the following

y = 4(1) - 7

y = -3

(1,-3) is a point that satisfies the equation y = 4x - 7
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Simplify the expression below as much as possible (6-i)+(4+2i)-(-2+i)
Luba_88 [7]

Answer:

=6-i+4+2i+2-i

=6+4+2+2i-i-i

=12+2i-2i

=12

4 0
3 years ago
Consider f and c below. f(x, y) = (3 + 4xy2)i + 4x2yj, c is the arc of the hyperbola y = 1/x from (1, 1) to 3, 1 3 (a) find a fu
irga5000 [103]
We want to find a scalar function f(x,y) such that \nabla f(x,y)=\mathbf f(x,y)=\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j.
So we need to have
\dfrac{\partial f}{\partial x}=3+4xy^2
Integrating both sides with respect to x gives
f(x,y)=3x+2x^2y^2+g(y)
Differentiating with respect to y gives
\dfrac{\partial f}{\partial y}=4x^2y+\dfrac{\mathrm dg}{\mathrm dy}=4x^2y\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C
So we find that
f(x,y)=3x+2x^2y^2+C
By the fundamental theorem of calculus, we then know the line integral depends only on the values of f(x,y) at the endpoints of the path. Therefore

\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f\left(3,\frac13\right)-f(1,1)=11-5=6
4 0
4 years ago
What is the fifth square root of x^16
melamori03 [73]
The fifth square root as in a^(1/2)^(1/2)^(1/2)^(1/2)^(1/2)

Well that is equal to a^((1/2)^5) or a^(1/32)

Since a=x^16 in this case and the rule (b^a)^c=b^(a*c) we have:

(x^16)^(1/32)

x^(16/32)

x^(1/2) or if you prefer

√x


8 0
3 years ago
Joleen buys a box of 15 candy bars for 10 dollars. She then sells those candy bars to her friends at school for 2 dollars each.
Talja [164]

Answer:

5 is the answer

4 0
3 years ago
Convert 3x-4y = 9 to slope intercept form. What are the slope and y - intercept ?
Alecsey [184]

Answer:

Slope intercept form; -4y = -3x + 9

Y-intercept; 9

3 0
3 years ago
Read 2 more answers
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