2 years ago

Find the value of x and y that maximize or minimize the objective function.

Mathematics

1 answer:

kogti [31]2 years ago

3 0

0 > x > 2 and y < 8 - x

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The quotient of a number and 2 is equal to 50

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The points with coordinates (x, -1), (2,2), and (4,3) lie on the same line. What is the value of x?

borishaifa [10]

Find the slope of the line passing throught the points (2, 2) and (4, 3).

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Substitute:

$m=\dfrac{3-2}{4-2}=\dfrac{1}{2}$

If the point (x, -1) lie on the same line, then the slope of line passing through the points (2, 2) and (x, -1) the same:

Substitute:

$m=\dfrac{-1-2}{x-2}=\dfrac{-3}{x-2}$

We have the equation:

$\dfrac{-3}{x-2}=\dfrac{1}{2}$ <em>cross multiply</em>

$(1)(x-2)=(-3)(2)$

$x-2=-6$ <em>add 2 to both sides</em>

$x=-4$

<h3>Answer: x = -4.</h3>

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2 years ago

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Vedmedyk [2.9K]

I hope you will get it

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2 years ago

Write an equation in slope-Intercept form for the line with slope 2/5 and y- ntercept - 3 .

Trava [24]

Answer:

y = $\frac{2}{5}$ x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = $\frac{2}{5}$ and c = - 3 , then

y = $\frac{2}{5}$ x - 3 ← equation of line

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On Saturday, Enrique charges $2 for every 1/6 hour he spends running errands. He earned $50 last Saturday. He picked up dry clea

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Dear Amjelugo, we can subtract 4 from 50 to get $46. 4/6 hr= $8, 11/6 hr= $22, and 5/6 hr=$10. 10+22+8=$40 46-40=$6 $6=3/6 hr. Enrique walked Mrs. Camacho's dog and pick up her groceries for 3 hr.

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2 years ago