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3 years ago

Which graph represents the solution set of the system of inequalities?

Mathematics

1 answer:

strojnjashka [21]3 years ago

5 0

Answer:

Step-by-step explanation:

The one with negative slope should be dotted (region below this line)

and the one with positive slope should be bold (region above this line)

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Trevin puts 8 gallons of gas in his car and pays $22 What was the cost of 1 gallon of gas

castortr0y [4]

Answer:

2.75

Step-by-step expl

6 0

3 years ago

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Find the dimensions of a rectangle whose perimeter is 16 meters and whose area is 15 square meters.

Veseljchak [2.6K]

2(x+y)=16,
x+y=16/2=8
y=8-x
x*y=15
x(8-x)=15
8x-x^2=15
x^2-8x+15=0
x^2-3x-5x+15=0
x(x-3)-5(x-3)=0
(x-3)(x-5)=0
x=3,5
when x=3
y=8-3=5
when x=5
y=8-5=3
length=5 meters
width=3 meters.

3 0

3 years ago

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Which statement describes the graph of function g?

shusha [124]

9514 1404 393

Answer:

The graph of g is 3 units above the graph of f.

Step-by-step explanation:

Adding 3 to each y-value shifts the graph up 3 units.

In the case of the straight line given here, it also has the appearance of shifting the graph left. The left-shift, however, is not 3 units. The amount of apparent horizontal shift will depend on the slope of the original line.

3 0

3 years ago

The price of a technology stock was $9.74 yesterday. Today, the price fell to $9.67. Find the percentage decrease. Round your an

agasfer [191]

% change = (new value - old value)/(old value) * 100%
.. = (9.67 -9.74)/9.74 * 100%
.. = -0.07/9.74 * 100%
.. = -0.7%

The decrease is 0.7%.

5 0

4 years ago

In the game of roulette, a wheel consists of 32 slots numbered 00, 0, 1, 2, . . . , 30. To play the game, a metal ball is spun a

Zarrin [17]

Answer:

(a) The sample space is {00, 0, 1, 2, . . . , 30}.

(b) If the wheel is spun 1,000 times, it is expected about 31 of those times to result in the ball landing in slot 3.

(c) If the wheel is spun 100 times, it is expected about 47 of those times to result in the ball landing in an odd number.

Step-by-step explanation:

We are given that in the game of roulette, a wheel consists of 32 slots numbered 00, 0, 1, 2, . . . , 30.

To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots.

(a) The sample space is {00, 0, 1, 2, . . . , 30} which means the metal ball can land on any of these numbers.

(b) As we know that there is an equal probability of the metal ball landing on any of the slots marked in the sample space.

Total number of slots = 32

Number of slots marked with 3 = 1

So, the probability that the metal ball falls into the slot marked 3 is given by = $\frac{1}{32}$ = 0.031 or 3.1%

This means that if the wheel is spun 100 times, it is expected about 3.1 of those times to result in the ball landing in slot 3.

So, if the wheel is spun 1,000 times, it is expected about 31 of those times to result in the ball landing in slot 3 because (0.031 $\times$ 1000) = 31.

(c) As we know that the odd slot in the given sample space is {1, 3, 5,......, 29}.

Total number of slots = 32

Number of odd slots = 15

So, the probability that the metal ball lands in an odd slot is given by = $\frac{15}{32}$ = 0.47 or 47%.

This means that if the wheel is spun 100 times, it is expected about 47 of those times to result in the ball landing in an odd number.

6 0

3 years ago