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zysi [14]
3 years ago
13

Find the X and Y intercept of line 2x+3y=-12 X-intercept - Y- Intercept-

Mathematics
1 answer:
vivado [14]3 years ago
7 0

Answer:

  • Let us rearrange
  • 3y=-2x-12
  • y=-2/3x-4
  • So y intercept is -4
  • I also do exams and quizzes if your interested :)
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39 28. If y = (1 - 3x), find the value of dy! dx at x = -1.​
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the answer to this question is 52.18

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3 years ago
You buy some room furniture. The table costs $599.99 and 4 chairs cost 89.59/chair. How much is your total purchase?
strojnjashka [21]
$599.99+ $89.59(4)= $958.35
5 0
3 years ago
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Determine whether the set of vectors <img src="https://tex.z-dn.net/?f=%20v_%7B1%3D%283%2C2%2C1%29%2C%20v_%7B2%7D%20%3D%28-1%2C-
Korolek [52]
Since each vector is a member of \mathbb R^3, the vectors will span \mathbb R^3 if they form a basis for \mathbb R^3, which requires that they be linearly independent of one another.

To show this, you have to establish that the only linear combination of the three vectors c_1\mathbf v_1+c_2\mathbf v_2+c_3\mathbf v_3 that gives the zero vector \mathbf0 occurs for scalars c_1=c_2=c_3=0.

c_1\begin{bmatrix}3\\2\\1\end{bmatrix}+c_2\begin{bmatrix}-1\\-2\\-4\end{bmatrix}+c_3\begin{bmatrix}1\\1\\-1\end{bmatrix}=(0,0,0)\iff\begin{bmatrix}3&-1&1\\2&-2&1\\1&-4&-1\end{bmatrix}\begin{bmatrix}c_1\\c_2\\c_3\end{bmatrix}=\begin{bmatrix}0\\0\\0\end{bmatrix}

Solving this, you'll find that c_1=c_2=c_3=0, so the vectors are indeed linearly independent, thus forming a basis for \mathbb R^3 and therefore they must span \mathbb R^3.
4 0
3 years ago
How does the equation h(x)=-(x,-3)2 + 4 compare to the graph of g(x)=x2?
Keith_Richards [23]

Answer:

option A

Step-by-step explanation:

The curve h(x)=-(x,-3)2 + 4 has a negative coeff for the degree e term. So the curve ud opened downward

To express the function in normal form,

H = -SQ(X) + 6X - 5

So the y intercept is -5

To find the roots of H

H = -SQ(X) + 6X - 5

(x-1)(x-5) = 0

so the curve has x intercept at 1 and 5

Thus the max point is at x=3

so the curve is shift right by 3 units

{ the function g(x)=x2 has turning point (0, 0) }

since the max point is at x=3, sub x=3 into the function H,

the max point is (3, 4)

So the function H is shift up by 4 unit

4 0
3 years ago
(3, -2), y=x + 4 i need help to find the parallel equation. please explain how you got the answer so i know how to solve.
GarryVolchara [31]
I hope this helps you

3 0
3 years ago
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