<h3>Given</h3>
x² +y = 0
x³ -12x -y = 0
<h3>Find</h3>
the intersection point(s) (x, y)
<h3>Solution</h3>
Add the two equations together, then factor.
... (x² +y) + (x³ -12x -y) = 0 + 0
... x³ +x² -12x = 0
... x(x +4)(x -3) = 0
Then x = {0, -4, 3}.
The corresponding y-values are
... y = -x² = {0, -16, -9}
The points of intersection are (-4, -16), (0, 0), (3, -9)
Answer:
6: S
7: C
8: C
9: C
10: N
11: C
12: S
13: S
14: N
15: C
Step-by-step explanation:
Complementary angles add to 90 degrees.
Suplementary angles add to 180 degrees.
The system:
- 12 c + 3 d = 6
- 3 c + 6 d = - 9
----------------------
The 1st equation:
- 12 c = - 3 d + 6 / * ( - 1) ( multiple both sides by -1 )
12 c = 3 d - 6 / : 12 ( divide both sides by 12 )
c = d / 4 - 1/2
Answer:
C ) c = 1/4 d - 1/2
The equation of the line CD that passes through points C(3 , -5) and D(6 , 0) is 5x - 3y - 30 = 0.
The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.
The two-point form of the equation of a line can be used to form the equation of a line if two points are given.

Substituting the values,






Meanwhile, the standard form of equation of a line is ax + by + c = 0, where a and b are the coefficients, x and y are the variables, and c is the constant term.
5x - 3y - 30 = 0
For more example on equation of line, visit brainly.com/question/19417700.
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<em>The question doesn't show any graph, but I have included it to help you with the problem.</em>
Answer:
<em>The new graph will be shifted up by 3 units</em>
Step-by-step explanation:
<u>Graph of a Real Function</u>
The total cost of belonging to the book club depends on one fixed cost, the initial joining fee, and a variable cost, depending on the number of books purchased. Call C the total cost and x the number of purchased books, then

By giving x some values, we get the corresponding values of C and then we can plot the graph as a blue line, in the image provided below.
If the joining fee goes up by $3, the new function is


The graph is also shown in the image, but with a red line. We can see the graph is shifted up by 3 units in the y-axis, but the slope remains the same, as the cost per book hasn't changed