On the set of axes, solve the following system of inequalities graphically.

1 answer:

3 0

2x + 3y < -3 ⇒ 2x + 3y = -3 ⇒ 2x + 3y = -3
-4x + y ≥ 2 ⇒ -4x + y = 2 ⇒ -12x + 3y = 6
 -14x = -9
 -14 -14
 x = ⁹/₁₄
 2x + 3y = -3
 2(⁹/₁₄) + 3y = -3
 1²/₇ + 3y = -3
 - 1²/₇ - 1²/₇
 3y = -4²/₇
 3 3
 y = -1³/₇
 The solution set is {(⁹/₁₄, -1³/₇)}.

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Please who can help me?

Natasha2012 [34]

Sorry, very late response since I had other matters to attend to.
Question 1:
A: Incorrect; if that was the case, on day 1, the price would be 150. Instead here, according to the graph, on day 1 the price is 30.

B: Incorrect; the slope, or rate of change, is 30.
[Note: To calculate the slope, we can take two points (I've chosen points (1,30) [1] and (2,60) [2] for you) and use the formula $\frac{y^2 - y^1}{x^2 - x^1}$ . $\frac{60 - 30}{2 - 1}$ ⇒ $\frac{30}{1}$ . $\frac{x}{1}$ = x, therefore $\frac{30}{1}$ = 30.]

C; Correct; each day the price increases by (+) 30.

D: Incorrect; the line does not show a constant decrease, but instead a constant increase.

Question 2:
A: Most likely this answer choice. The equation seems to be in slope-intercept form on accounting that the equation has mx and b. M has the x directly after it while the b is a number that stands alone. [Note: Numbers that stand alone and without a variable are constants.] B stands for the y-intercept/initial value, or amount started with.

In short:
Q1: C
Q2: A

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Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + 2xy − y2 + x = 20, (3

marin [14]

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y-4=7(x-3)\implies y=7x-21+4\implies y=7x-17$

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A number decreased by half of the number is four. What is the number?

MrRa [10]

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four is the right answer i think

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