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bezimeni [28]
2 years ago
9

In the system -12c+3d=6 and -3c +6d=-9, which expression could you use for substitution

Mathematics
1 answer:
inessss [21]2 years ago
3 0
You can not use either of them because neither of them have a variable= to the eqaution
ex.) y= 3x+25
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If ln(4x+y)=2x-3,then dy/dx=
Viktor [21]

\ln(4x+y)=2x-3

Differentiate both sides wrt x:

\dfrac{\mathrm d(\ln(4x+y))}{\mathrm dx}=\dfrac{\mathrm d(2x-3)}{\mathrm dx}

By the chain rule, we get

\dfrac1{4x+y}\dfrac{\mathrm d(4x+y)}{\mathrm dx}=2

\dfrac{4+\frac{\mathrm dy}{\mathrm dx}}{4x+y}=2

Solve for \frac{\mathrm dy}{\mathrm dx}:

4+\dfrac{\mathrm dy}{\mathrm dx}=8x+2y

\boxed{\dfrac{\mathrm dy}{\mathrm dx}=8x+2y-4}

4 0
2 years ago
Jake made a wooden cone with a diameter of 6 inches and a height of 4.5 inches. What is the volume of this cone?
serious [3.7K]

Answer:

42.42in³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

Step one

We know that the volume of a cone is

V= 1/3πr²h

Given data

Diameter d= 6 inches

Radius r= diameter/2= 6/2= 3 inches

Height h = 4.5 inches

Step two

Substituting our given data we have

Volume = 1/3*3.142*3²*4.5

V= 1/3*3.142*9*4.5

V= 127.251/3

V= 42.42in³

7 0
2 years ago
American football is the highest-paying sport on a per-game basis. Given that the quarterback is considered the most important p
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Answer:

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Step-by-step explanation:

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2 years ago
A hat contains four balls. The balls are numbered 3, 6, 6, and 7. One ball is randomly selected and not replaced, and then a sec
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Answer:

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Step-by-step explanation:

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3 years ago
Fill out the information below for the following graph of a quadratic function. Please Help!!
Inessa [10]

Answer:

Please refer to the images attached below.

Step-by-step explanation:

Quadratic Functions are functions of degree 2. The graph of any quadratic function is a parabola that has a vertex and axis of symmetry.

Some Properties of Graph Translations

1. y=a(x-h)^2+ky=a(x−h)

2

+k

This means that the new function is translated h units to the right and k units going up.

2. y=a(x-h)^2-ky=a(x−h)

2

−k

This means that the new function is translated h units to the right and k units going down.

3. y=a(x+h)^2+ky=a(x+h)

2

+k

This means that the new function is translated h units to the left and k units going up.

4. y=a(x+h)^2-ky=a(x+h)

2

−k

This means that the new function is translated h units to the left and k units going down.

First, let's graph the function y=3x^2+3y=3x

2

+3 . The vertex is at the point (0,3)(0,3) . Please refer to Figure 1 below.

Now, start from the vertex of the first function, (0,3)(0,3) , as you notice that the function y=3(x-3)^2+1y=3(x−3)

2

+1 is 3 units translation to right and one unit translation going up. This means that the new vertex is the point (3,1)(3,1) .Please refer to Figure 2.

For the function, y=3(x+3)^2-1y=3(x+3)

2

−1 , start from the vertex of the first function, (0,3)(0,3) , then make a translation of 3 units to the left and a translation of 1 unit down. This gives us a new vertex of (-1, -3)(−1,−3) . Please refer to Figure 3.

#LetsStudy

To learn more about quadratic functions, go to

https://brainly.ph/question/2436149

https://brainly.ph/question/4568410

https://brainly.ph/question/5982152

Step-by-step explanation:

<em>FOLLOW</em><em> </em><em>ME </em><em>OKAY </em><em />

<em>I </em><em>WILL</em><em> FOLLOW</em><em> </em><em>YOU</em><em> </em><em>BACK</em><em> </em><em />

6 0
2 years ago
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