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3 years ago

Solve the inequality 2x^2+5x-3>0

Mathematics

1 answer:

LiRa [457]3 years ago

5 0

Answer:

x ∈ (-∞,-3)∪(0.5,∞)

Step-by-step explanation:

2x^2+6x-x-3>0

2x(x+3)-1(x+3)>0

(2x-1)(x+3)>0

x ∈ (-∞,-3)∪(0.5,∞)

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The area of a certain desert (Desert 1) is nine times the area

Lisa [10]

Answer:

∴ Area of Desert 1 = 9,000,000 square miles

Area of Desert 2 = 1,000,000 square miles

Step-by-step explanation:

let the area of Desert 1 = x

Let the area of desert 2 = y

Given:

x = 9y - - - - - - (1)

x + y = 10,000,000 - - - - -(2)

Replacing the value of x from equation 1 into equation 2:

x + y = 10,000,000

where x = 9y

9y + y = 10,000,000

10y = 10,000,000

y = 10,000,000 ÷ 10

y = 1,000,000 square mile

Next, finding x by putting the value of y into equation 1

x = 9y

where y = 1,000,000

∴ x = 9 × 1,000,000

x = 9,000,000 square miles

∴ Area of Desert 1 (x) = 9,000,000 square miles

Area of Desert 2 (y) = 1,000,000 square miles

5 0

4 years ago

Raj gets a 1.5 mile head start and runs at a rate of 4.5 miles per hour. Jacinda's progress is represented by a graph that goes

Alexxandr [17]

From the given ordered pair representing Jacinda's progress, her speed is equal to 10 miles per hour. Letting x be the time it takes for Jacinda to catch up with Raj, the total distance Raj would travel is
1.5 + 4.5x
and Jacinda's total distance is 10x. Mathematically,
1.5 + 4.5x = 10x
The value of x from the equation is 0.27 hours. Therefore, Jacinda needs to run 2.7 miles to catch up with Raj.

6 0

3 years ago

Kira was traveling at 55 miles per hour. How many hours would it take her to travel 275 miles?

Free_Kalibri [48]

Answer:

5 hours

Step-by-step explanation:

275/55=5

5 0

3 years ago

How do you find the M.A.D to any equation

torisob [31]

Steps to finding the M.A.D

1. Find the mean of the data!

- all all the numbers up and divide by how many numbers there are

2. Find the absolute value of the difference between each data value and the mean:

|data value – mean|.

3. Find the sum of the absolute values of the differences

4. Divide the sum of the absolute values of the differences by the number of data values.

I hope I helped! Tell me if this is confusing or not :)

6 0

3 years ago

Fill in the blank.

murzikaleks [220]

Answer:

Part 1) $x=44.80\ units$

Part 2) $y=56.85\ units$

Step-by-step explanation:

Part 1) Find the value of x

we know that

In the right triangle of the figure

The tangent of angle of 52 degrees is equal to divide the opposite side to the angle of 52 degrees (x units) by the adjacent side to the angle of 52 degrees (35 units)

$tan(52\°)=x/35$