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2 years ago

Which is a solution to the system of inequalities? y≤-1/2x+3 y≥x+1

Mathematics

1 answer:

Serggg [28]2 years ago

4 0

Answer:

y≤-1/2(x=4)+3

Step-by-step explanation:

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What is the square of 9?

Artemon [7]

Answer:

Step-by-step explanation:

sqrt9 = 3

8 0

3 years ago

Read 2 more answers

Write the equation of the line that passes through the points (2,−8) and (1,7). Put your answer in fully reduced point-slope for

ValentinkaMS [17]

Point-slope form of equation is: $y - 7 = -15(x-1)$

Step-by-step explanation:

Given points are:

(2,-8) and (1,7)

First of all we have to calculate the slope of the line

so,

$m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{7-(-8)}{1-2}\\=\frac{7+8}{-1}\\=\frac{15}{-1}\\= -15$

Point-slope form is given by:

$y-y_1 = m(x-x_1)$

Putting the value of slope

$y-y_1 = -15(x-x_1)$

We can put any one of two given points in the equation to find the final form of point-slope form

Putting (1,7) in the equation

$y - 7 = -15(x-1)$

Hence, point-slope form of equation is: $y - 7 = -15(x-1)$

Reducing and simplifying

$y - 7 = -15(x-1)\\y-7 = -15x+15\\y-7+7 =-15x+15-7\\y = -15x+8\\15x+y = 8$

Keywords: Point-slope form, equation of line

Learn more about equation of line at:

#LearnwithBrainly

8 0

2 years ago

Cassandra shared her post with 3 friends, who each shared it with 3 more friends. They continued sharing at the same rate.

uranmaximum [27]

F(3) = 3(3)
f(3) 3f
f(10) 10

5 0

2 years ago

Read 2 more answers

Find two positive numbers whose product is 25 and whose sum is a minimum. (if both values are the same number, enter it into bot

pshichka [43]

Let xy = 25, x and y > 0.

$y = \frac{25}{x}$
$\text{Denote S as: } x + y$
$S(x) = x + \frac{25}{x}$

$\text{Minimum: }S'(x) = 0, S''(x) > 0$
$S'(x) = 1 - \frac{25}{x^{2}}$
$1 - \frac{25}{x^{2}} = 0$
$x^{2} = 25$
$x = 5 (x > 0)$

$S''(x) = \frac{50}{x^{3}} > 0, (x > 0)$

Thus, at x = 5, there lies a minimum summation, and this forms a square with side length of 5.

4 0

3 years ago

a rental car agency charges 190 per a week plus .25 per mile to rent a car. How many miles can you travel in one week for 370

alekssr [168]

Let m represent the number of miles traveled. If the whole budget amount of 370 is spent, then ...

... 190 + 0.25m = 370

... 0.25m = 280

... m = 280/0.25 = 1120

For 370, you can travel 1120 miles.

8 0

2 years ago