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3 years ago

What is the solution to the inequality -3x - 5 < -20?

Mathematics

2 answers:

laiz [17]3 years ago

7 0

Answer:

Step-by-step explanation:

add 5. so thats -3x <-15

x is less than or equal to 5

timurjin [86]3 years ago

3 0

Answer:

x > 5

Step-by-step explanation:

-3x - 5 < -20

-3x < -20 + 5

-3x < -15

/-3 /-3

x > 5

( whenever dividing or multiplying by a negative number you must flip the sign )

hope this helps ^^

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The side lengths of a square are each 3p. By adding 5 to the length and subtracting 5 from the width, a rectangle is made. What

denpristay [2]

Answer:

A = 9p² - 25

Step-by-step explanation:

The side lengths were 3p. 5 was added to the length and subtracted from the width. This means that

l = 3p + 5

w = 3p - 5

Plug these values into the formula for the area of a rectangle.

A = lw

A = (3p + 5)(3p - 5)

A = 9p² - 25

The area of the rectangle is 9p² - 25.

8 0

4 years ago

Some help please stuck on 4, 8, 9

bulgar [2K]

4:
a) if a cloud is a mid-level cloud, then it is between 6,500 and 20,000 feet.
b) if a cloud isn't a mid level cloud, then it is not between 6,500 and 20,000 feet. [I don't know if this statement is true]
8:
P=2l+2w
solve for w means to make the equation like w=... (get w on one side by itself).
First, subtract 2l from both sides
P-2l=2w
Now, divide both sides by 2
${P-2l}{2}$ = $W$
Done
9:
*The question is a bit wrong here; it should have said In the corner of the angle ABC there is a little square symbol - that means it is a 90 degree angle.
The angle ABC is broken up into angles ABD and DBC, so ABD and DBC add up to 90 degrees.
So, we can make the equation (2x + 10) + (x + 14) = 90
Then solve
Since it is all addition, the parentheses are unnecessary
2x + 10 + x + 14 = 90
Add all x terms together, and the numbers together
3x + 24 = 90
Subtract 24 from both sides
3x = 66
Divide both sides by 3
x = 22
Now, plug in this x value into the formulas for the two angles
ABD = 2(22) + 10 = 44+10 = 54 degrees
DBC = 22 + 14 = 36 degrees

6 0

3 years ago

Determine whether the point (3,3) is in the solution set of the system of inequalities below.

Radda [10]

Answer:

The ordered pair is not a solution of the system D

explanation:

y < -3

y ≤ 2/3x - 4

y > -3

y ≥ 2/3x - 4

y < -3

y ≥ 2/3x - 4

y > -2

y ≤ 2/3x - 4

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

Verify each case

Case A) we have

----> inequality A

----> inequality B

Substitute the value of x and y of the point (3,-2) in both inequalities and then compare the results

Inequality A

----> is not true

therefore

The ordered pair is not a solution of the system A

Case B) we have

----> inequality A

----> inequality B

Substitute the value of x and y of the point (3,-2) in both inequalities and then compare the results

Inequality A

----> is true

Inequality B

----> is true

therefore

The ordered pair is a solution of the system B

Case C) we have

----> inequality A

----> inequality B

Substitute the value of x and y of the point (3,-2) in both inequalities and then compare the results

Inequality A

----> is not true

therefore

The ordered pair is not a solution of the system C

Case D) we have

y > -2 ----> inequality A

----> inequality B

Substitute the value of x and y of the point (3,-2) in both inequalities and then compare the results

Inequality A

----> is not true

therefore

The ordered pair is not a solution of the system D

3 0

4 years ago

Find all roots x^5-2x^3-8x=0

kobusy [5.1K]

X^5 - 2 x^3 - 8 x=0x (x - 2) (x + 2) (x^2 + 2) = 0
x - 2 = 0 or x = 0 or x + 2 = 0 or x^2 + 2 = 0
x = 2 or x = 0 or x = - 2 or x^2 = - 2
x^2 = - 2 has no solution since for all x on the real line, x^2 >= 0 and - 2 < 0

Ans : x = 2 or x = 0 or x = - 2

7 0

3 years ago

What is the solution to the equation 7 −3x ≈ 9? (1 point)

Gnesinka [82]

Answer:

-16/3 will be the answer for this question

4 0

3 years ago