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3 years ago

Y>x−4 y\ge -\frac{1}{2}x+5 y≥− 2 1 x+5

Mathematics

1 answer:

8_murik_8 [283]3 years ago

6 0

ANSWER A

STEP BY STEP EXPLANATION

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2 years ago

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If 2a+3<10 then which of these could be a value of a

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a < 3.5

Step-by-step explanation:

2a+3 <10

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2 years ago

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3 years ago

What is the value of c such that the line y=2x+3 is tangent to the parabola y=cx^2

satela [25.4K]

The value of $c$ such that the line $y = 2\cdot x + 3$ is tangent to the parabola $y = c\cdot x^{2}$ is $-\frac{1}{3}$ .

If $y = 2\cdot x + 3$ is a line tangent to the parabola $y = c\cdot x^{2}$ , then we must observe the following condition, that is, the slope of the line is equal to the first derivative of the parabola:

$2\cdot c \cdot x = 2$ (1)

Then, we have the following system of equations:

$y = 2\cdot x + 3$ (1)

$y = c\cdot x^{2}$ (2)

$c\cdot x = 1$ (3)

Whose solution is shown below:

By (3):

$c =\frac{1}{x}$

(3) in (2):

$y = x$ (4)

(4) in (1):

$y = -3$

$x = -3$

$c = -\frac{1}{3}$

The value of $c$ such that the line $y = 2\cdot x + 3$ is tangent to the parabola $y = c\cdot x^{2}$ is $-\frac{1}{3}$ .

We kindly invite to check this question on tangent lines: brainly.com/question/13424370

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2 years ago

Which equation represents the function shown on the graph? y=1/4x y=1/2x y=2x y=4x

Alexus [3.1K]

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2 years ago

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Y>x−4 y\ge -\frac{1}{2}x+5 y≥− 2 1 ​ x+5

Y>x−4 y\ge -\frac{1}{2}x+5 y≥− 2 1 x+5