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4 years ago

Help me on this one NOW

Mathematics

2 answers:

Vinvika [58]4 years ago

8 0

Answer:

Look in the picture attached

Step-by-step explanation:

x = 2y - 3

dimaraw [331]4 years ago

4 0

X=2y-3
+3 +3
x+3=2y
/2 /2
x+3/2=y

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Complete the description of the piecewise function graphed below. Use interval notation to indicate intervals.

Gemiola [76]

Answer:

{ -2 if x ∈ -4 < x < -3

{ -5 if x ∈ -3 ≤ x < 2

[ 5 if x ∈ 2 ≤ x < 5

Step-by-step explanation:

From the graph, we have;

{ -2 if x ∈ -4 < x < -3

For the next inequality line at y = -5, we have;

1) The inequality line, starts with an open circle on the left at x = -3, which is equivalent to less than or equal to symbol, ≤ as -3 ≤ x because the point x =-3 is the left boundary. The inequality line extends to the point x = 2, where we have a closed circle (on the right), which is equivalent to a x ≤ 2 with the 2 on the right hand side because, the 2 is the right boundary of the inequality

2) The inequality can be summarized as starting from x = -3 extends to x = 2

3) As stated in point 1) the point x = 3, we have -3 ≤ x and at point x = 2, we have x ≤ 3 which can be combined as -3 ≤ x < 2, to give;

{ -5 if x ∈ -3 ≤ x < 2

For the next inequality line at y = 5, we have;

1) The inequality line, starts with an open circle on the left at x = 2, which is equivalent to less than or equal to symbol, ≤ as 2 ≤ x because the point x =2 is the left boundary. The inequality line extends to the right to reach point x = 5, where we have a closed circle (on the right), which is equivalent to a x ≤ 5 inequality, with the 5 on the right hand side because, the 5 is the right boundary of the inequality

2) The inequality can be summarized as starting from x = 2 extends to x = 5

3) As stated in point 1) the point x = 2, we have 2 ≤ x and at point x = 5, we have x ≤ 5 which can be combined as 2 ≤ x < 5, to give;

[ 5 if x ∈ 2 ≤ x < 5.

7 0

3 years ago

What is negative 1 and three fifths divided by negative two thirds equals?

Rudik [331]

It's visually better to make it an equation.
-1 3/5 ÷ -2/3

The answer is 39/10.

6 0

3 years ago

Read 2 more answers

A city places 18 trash cans along a 13.5 miles stretch of beach. The trash cans are placed an equal distance apart. How many mil

Goryan [66]

Answer:

0.7941 miles

Step-by-step explanation:

I would think of this situation as a giant ruler.

The 18 trash cans can be thought of as endpoints on intervals in this giant ruler.

1--------2 --------3 --------4-----------5

If you notice the numbers that I wrote, there are five of them, but there are 4 intervals.

So we need to minus one from 18 to get 17 equal length intervals so that the trash cans are equally spaced.

Interval length = 13.5 miles / 17 intervals = 0.7941 miles

5 0

3 years ago

Find the area of the shaded region. Round to the nearest hundredth where necessary (2 decimal places

suter [353]

Answer:

117 in²

Finding the area of the trapezoid:

First, we need to find the area of the trapezoid formed by the dotted lines. The formula for finding the area of the trapezoid is "(a₁ + a₂)h/2".

[Where, a₁ = shorter parallel side; a₂ = longer parallel side]

⇒ (a₁ + a₂)h/2 = Area of trapezoid

⇒ (14 + 26)15/2 = Area of trapezoid

⇒ Area of trapezoid = (40)15/2 = (20)15 = 300 in²

Reviewing on how to find the area of the unshaded region:

To find the area of the shaded region, we need to subtract the area of the unshaded region from the area of the trapezoid. In this case, the unshaded region is a triangle whose base is 26 inches. To find the area of the triangle, we need to use the formula 1/2 x Base x Height. We are given the base, but the height is unknown.

Determining the height:

We are given a small side length "6 inches" and the height of the trapezoid "15 inches". If we subtract the small side length from the height of the trapezoid, we will obtain the height of the triangle.

⇒ Height of trapezoid - Small side length = Height of triangle

⇒ 15 - 6 = Height of triangle

⇒ 9 in = Height of triangle

Determining the area of the unshaded region:

Now, let's substitute the base and the height in the formula to find the area of the triangle

⇒ 1/2 x Base x Height

⇒ 1/2 x 26 x 9

⇒ 13 x 9

⇒ 117 in²

Determining the area of the shaded region:

Finally, let's subtract the area of the unshaded region from the area of the trapezoid to obtain the area of the shaded region.

⇒ Area of trapezoid - Area of unshaded region = Area of shaded region

⇒ 300 - 117 = Area of shaded region

⇒ 183 in² = Area of shaded region

5 0

2 years ago

Each minute Garret is able to run 124 meters. If he has already run 328 meters, what will his total distance be after 11 minutes

MrRa [10]

Answer:

Step-by-step explanation:

124 * 11 = 1364

1364 + 328 = 1,692

5 0

3 years ago