What is the solution set to the inequality 5(x - 2)(x + 4) > 0?
O {xx>-4 and x <2}
O {x| X <-4 or x > 2)
O {x} x <-2 or x > 4)
O {X/ x>-2 or x <4}

Answers

Answer 1

Answer:

{x | x < 2 and  x < -4 }

Step-by-step explanation:

Given the inequality 5(x - 2)(x + 4) > 0?

This also means x - 2 < 0 and x + 4<0

For x - 2 < 0

Add 2 to both sides

x - 2 + 2 < 0 + 2

x < 2

Similarlry for x + 4 <0

Subtract 4 from both sides

x+4-4 < 0 -4

x < 0 -4

x < -4

x < 2 and  x < -4

Hence the required solution is {x | x < 2 and  x < -4 }


Related Questions

Dr. Porterfield has a choice of bread (pink, purple), meat (ham, turkey, beef) and Cheese (American, Swiss, Portugues, Japanese) at a sandwich shop. What is the probability he will select a sandwich on purple bread with either beef or turkey and has Japanese cheese

Answers

Answer:

The probability is 0.08[tex]\overline 3[/tex]

Step-by-step explanation:

The choice of bread Dr Porterfield has = Pink, purple

The number of types of breads = 2

The choices of meat = Ham, turkey, beef

The number of types of meat = 3

The choice of cheese = American, Swiss, Portuguese, Japanese

The number of types of cheese = 4

The probability of selecting purple bread from pink or purple = 1/2

The probability of selecting beef or turkey from the 3 choices of meat = 2/3

The probability of selecting Japanese cheese from the fourvtypes of cheese = 1/4

Therefore, the probability he will select a sandwich on purple bread with either beef or turkey and has Japanese cheese = (1/2) × (2/3) × (1/4) = 2/24 = 1/12 = 0.08[tex]\overline 3[/tex]

A drawbridge rises at a constant rate. It takes 1 1/2 minutes for the drawbridge to rise 3/10 of its total height. How much time, in minutes, does it take for the drawbridge to reach its total height?

Group of answer choices

1/5

9/20

20/9

5

Answers

9/20 this is the answer I hope I helped !

Problem Page Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.

Answers

Note: Consider we need to find the possible number of ways to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.

Given:

Number of letters = 4

Number of letters selected without replacement = 2

To find:

The total possible number of ways.

Solution:

We have 4 letters A, B, C and D.

So, the number of ways to select first letter is 4.

After selecting a letter the number of remaining letters is 3.

So, the number of ways to select second letter is 3.

Now, the total number of ways to select 2 letters, without replacement, from the 4 letters A, B, C, and D is:

[tex]4\times 3=12[/tex]

Therefore, the required number of ways is 12.

what is the answer of this question​

Answers

Answer:

i) [tex]2.2 * 10^{-7[/tex]

ii) [tex]6.4 * 10^{-5[/tex]

(i) 2.2 x 10^-7
(ii) 6.4 x 10^-5

A movie begins at 4:40 pm and it’s last 2 housers and 20 minutes

Answers

Answer: 7:00

Step-by-step explanation:

hope that helps

its 7:00, hope that helps you out!

Jean walks forward 80 feet to his mailbox. He then walks the 80 feet
back. Does Jean end up back where he started?

Answers

Answer:

yes

Step-by-step explanation:

Which expression would you use to determine the missing number in the sequence? 11, ____, 25, 32, 39

Answers

The number is 18 ………,,……..
18 because if it’s jumping by 7 you would just add seven

4. Janet wants to spend no more than $45 her friend's birthday gift. She already bought her a
$15 bracelet. Write an inequality to show how much can she still spend on her friend?

Answers

Answer:

Step-by-step explanation:

45=15+x

45-15=x

30=x


I need help plss!! Thankyou in advance!!

The sum of Bill's age and
Nancy's age is 45. In three years, bill will be three times as old as Nancy
was four years ago. Create a system of linear equations to represent the relationship between
Bill's age and Nancy's age. Solve the system graphically to determine how old Bill and Nancy are
today?

Answers

Answer:15

Step-by-step explanation:

Which of the following are equations for the line shown below? Check all that
apply.
(3.1)
O A. y = x-2
B. y-1 - (x-3)
O C. y=-x-2
D. Y + 4 = (x+2)

Answers

Answer:

y = x - 2. Notice that option A and B are same.

Step-by-step explanation:

Two points on the given line are (3, 1) and (-2, -4).

Slope = (y2 - y1)/(x2 - x1) = (-4 - 1)/(-2 - 3) = 1

Using y - y1 = m(x - x1) :

=> y - 1 = 1(x - 3)

=> y - 1 = x - 3

=> y = x - 2

How do the triangle theorems work. Asa aas sas hL?

Answers

AAS stands for "angle, angle, side" and means that we have two triangles where we know two angles and the non-included side are equal. If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

please help its easy im just not smart enough to do it lma0

Answers

Answer:

20 feet

Step-by-step explanation:

66/3.3

it's twenty i dont know what else to say

Answer:

20m

Step-by-step explanation:

1m = 3.3ft

66 feet = 20m

 

someone help..thanks:)

Answers

Answer:

Step-by-step explanation: hope u like that cus i sike that C?

Answer:

B looks like a 180 degree angle cause its js a straight line and isnt curved or bent. Brainliest plz?

Step-by-step explanation:

How do I solve this?
Please help

Answers

Filling in the boxes:
Top row outside box: 3c and 8
Second row outside box: - or -1
Inside box: -3c and -8

Expanded: -3c - 8

In your wallet you have the following paper money: 2 singles, 4 fives, 3 tens, and 6 twenties. What is the probability that you will draw a 5 and then a 10?

Answers

Answer:

Step-by-step explanation:

2w^2-9w+3=-4w solve the equation for all real solutions

Answers

Answer:

w= 1

w= 3/2

Step-by-step explanation:

An isosceles triangle has base angles that each measure 42°. Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees? \

Answers

Answer:

42 + 42 + z = 180

Step-by-step explanation:

Note that:

Base angles in an isosceles triangle are equal in measure.

The sum of angles in a triangle is 180°.

Thus, the equation would be

42 + 42 + z = 180

Help me with this please​

Answers

The solution to the quadratic equation x² - 4x + 1 = 0 is x = ( 4 ±√12 ) / 2

What is the solution to the quadratic equation?

A quadratic equation in its standard form is expressed as;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given the quadratic equation in the question;

x² - 4x + 1 = 0

a = 1b = -4c = 1

We substitute this values into the quadratic formula above and solve for x.

x = (-b±√(b² - 4ac)) / (2a)

x = ( -(-4) ±√( (-4)² - ( 4 × 1 × 1)) / (2 × 1)

x = ( 4 ±√( 16 - 4) ) / (2)

x = ( 4 ±√12 ) / 2

Therefore, ( 4 ±√12 ) / 2 is the solution to the equation.

Option C) ( 4 ±√12 ) / 2 is the correct answer.

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ1

read and answer please. thanks

Answers

It’s just a black picture

Helppp easy math please !!!!

Answers

Answer:

x=5      x=1

Step-by-step explanation:

To find the x intercepts, set y=0

(x-5) (x-1) =0

Using the zero product property

x-5 =0   x-1 =0

x=5      x=1

solve for t in d =rt if d =57 and r =30. t=​

Answers

57 = 30 × t

t = 57/30

t = 19 × 3 / 10 × 3

t = 19/10

t = 1.9

Answer:

t = 1.9

Step-by-step explanation:

Given

d = rt

Substitute d = 57 and r = 30 into the equation

57 = 30t ( divide both sides by 30 )

[tex]\frac{57}{30}[/tex] = t , that is

t = 1.9

Students took a typing test. The number of words per minute students could type are listed below. 40, 47, 25, 32, 48, 55, 33, 56, 32, 47, 32 What is the median number of words per minute the students could type?

Answers

Answer:

50

Step-by-step explanation:

The median number is known as the middles number

The first step is to rearrange the set of numbers starting from the lowest

25, 32, 32, 32, 33, 40, 47, 47, 48, 55, 56

Hence the middle number is 50

665.8 rounded to the nearest tenth of a cubic meter

Answers

If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit. Example

124.58

The first number of right of decimal point is 5

The second digit after decimal point is 8 which is greater than 5

So add 1 to 5

Result = 124.6

no answer just explanation,



A car salesman sold three hybrid cars last week. The cars come in red, white, and black. A sale is listed as RWB if a red car was sold first, a white

was sold second, and a black car was sold third.

A list of all possible outcomes is shown. Each outcome has equal probability.

{RRR, RRW, RRB, RWR, RWW, RWB, RBR, RBW, RBB, WWW, WWR, WWB, WRR,

WRB, WRW. WBR, WBB, WBW, BBB, BBR, BBW, BWR, BWW, BWB, BRW, BRR, BRB)

What is the probability that the cars sold last week included a white car or the first car sold was red?

Answers

Answer:

23 / 27

Step-by-step explanation:

Total possible outcomes :

{RRR, RRW, RRB, RWR, RWW, RWB, RBR, RBW, RBB, WWW, WWR, WWB, WRR, WRB, WRW. WBR, WBB, WBW, BBB, BBR, BBW, BWR, BWW, BWB, BRW, BRR, BRB) = 27

Required outcome : 23

{RRR, RRW, RRB, RWR, RWW, RWB, RBR, RBW, RBB, WWW, WWR, WWB, WRR, WRB, WRW. WBR, WBB, WBW, BBW, BWR, BWW, BWB, BRW) = 23

Required outcome / Total possible outcomes

= 23 / 27

Find the slope of the line parallel to the line graphed.
A) -1
B) 0
C) 1
D) undefined

Answers

The answer is -1 because if you see the graph

The answer is -1 because of how the graph is

Calculate the volume of a cube with side length of 7mm.

Answers

Answer:

[tex] {7}^{3} = 7 \times 7 \times 7 = 147 {m}^{3} \\ to \: calculate \: the \: volume \: of \: a \: cube \: we \: need \: to \: use \: this \: formula \\ {x}^{3} \\ x = side \: length[/tex]

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

805

Step-by-step explanation:

The answer is V≈201.06in³

please help! I need to solve it algebraically and if you can show your work/explain how you got the answer that would help a ton because I need that to!

Answers

The answer is x=-10

Step-by-step explanation:

the reasoning is you do the inverse or opposite of three to both sides so you add +3 to both sides so the -3 and the +3 would cancel out then you would add +3 to the integer -23 and get -20 next is you divide by 2 on each side so you 2÷2 which would cancel out and then -20÷2 which would equal -10

Hence the answer is x=-10

2x+ (-3) = -23
2x + (-3) - (-3) = -23 - (-3)
2x = -23 + 3
2x = -20
2x/2 =-20/2
x = -10

Helpppp please!!!!!!

Answers

Im guessing it’s b if I’m wrong plz don’t mad

Triangle ABC is translated 5 units to the right and 2 units up. Match the correct
length with the corresponding side after the translation.

Answers

Step-by-step explanation:

A'B' = 5

B'C' = 6

A'C'= 2

in translation, the length of sides do not change

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