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2 years ago

The graph of the piecewise function f(x) is shown.

Mathematics

1 answer:

Charra [1.4K]2 years ago

4 0

Answer: {y | −5 ≤ y ≤ −1}

Step-by-step explanation:

The extreme values are -5 and -1.

There is a closed circle at (-2, -5), so -5 is in the range.
There is a closed circle at (2, -1), so -1 is in the range.

So, the answer is {y | −5 ≤ y ≤ −1}.

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10) pls help i’ll give 20 points :)

NikAS [45]

Answer: The blank space in the equation is 4.

Step-by-step explanation: -6 x +2 is -12. -48/-12 is 4. Therefore, the blank space in the equation is 4.

3 0

3 years ago

There are some goats, cows and, sheep. 2/5 of the animals were goats. There were three times as many sheep than cows. If there w

kobusy [5.1K]

Answer:

81 sheep were there on the farm

Step-by-step explanation:

Consider the provided information.

Let x represents the number of goats.

y represents the number of cows.

z represents the number of sheep.

Therefore, the total number of animals are x+y+z

2/5 of the animals were goats. This can be written as:

$\frac{2}{5}(x+y+z)=x$

There were three times as many sheep than cows.

$z=3y$

There were 45 more goats than cows,

$x=45+y$

Substitute the value of x and z in equation 1.

$\frac{2}{5}(45+y+y+3y)=45+y$

$\frac{2}{5}(45+5y)=45+y$

$2(9+y)=45+y$

$18+2y=45+y$

$y=27$

Hence, there are 27 cows.

Substitute the value of y in $x=45+y$

$x=45+27$

$x=72$

Therefore, there are 72 goats.

Substitute the value of y in $z=3y$

$z=3(27)$

$z=81$

Thus, there are 81 sheep.

6 0

3 years ago

Find an equivalent expression to this: 3xy + 4x + 8 + ( -2 )

Arlecino [84]

3xy + 4x -16 ...... I hope that helps .

7 0

3 years ago

(2,?) is on the line x + 3 = y. Find the other half of the coordinate.

Brut [27]

Sub in 2 for x and solve for y

x + 3 = y
2 + 3 = y
5 = y

so ur points are : (2,5)

4 0

3 years ago

Read 2 more answers

Lindsey rows a boat downstream for 80 miles. The retum trip upstream took 12 hours longer. If the current flows at 3 mph, how fa

slamgirl [31]

Answer:

14hrs

Step-by-step explanation:

v = speed in still water

t = downstream trip time

d = distance = 182 miles; same distance both downstream and upstream

t + 12 = upstream return trip time

u = current flow = 3 mph

Downstream: d = (v + u)t; Upstream: d = (v - u)(t + 12)

(v - 3)(t + 12) = 182 (equation 1)

(v + 3)t = 182 (equation 2)

Subtract equation 2 from equation 1 to get t:

(vt + 12v -3t -36) - (vt + 3t) = 0

12v - 6t - 36 = 0

t = 2v - 6

Substitute this result for t into equation 2 and solve for v:

(v + 3)(2v - 6) = 182

2v^2 - 6v + 6v - 18 = 182

v^2 = 100

v = 10 mph

t = 2v - 6 = [2(10) - 6] hrs = 14 hrs

7 0

3 years ago