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

what is the correct claim

Answers

Answer:

Claim 1

Step-by-step explanation:

An item is regularly priced at $35. Salma bought it on sale for 95% off the regular price. Find how much Salma paid.​

Answers

Answer:

1.75

Step-by-step explanation:

35x.95=33.25 discount

35-33.25=1.75

Luis compra 126 celulares a $268 por cada uno. Cada celular fue vendido a $325 ¿Cuánto dinero gano Luis?

Answers

Answer:

Ganancia total= $7.182

Step-by-step explanation:

Dada la siguiente información:

Luis compra 126 celulares a $268 por cada uno. Cada celular fue vendido a $325.

Primero debemos calcular cuanto gana con cada celular:

Ganancia unitaria= 325 - 268

Ganancia unitaria= $57

Ahora, la ganancia total:

Gnanacia total= 57*126

Ganancia total= $7.182

PLEASE HELP!!! MATH 14.1 The law of sines

Answers

Answer:

[tex]\huge\boxed{Law \ Of \ Sines \hookleftarrow}[/tex]

[tex]\huge\bold{\frac{a}{ \sin (A)} = \frac{b}{ \sin \: (B) } = \frac{c}{ \sin \:( C) }} [/tex]

➟ In a triangle, side “a” divided by the sine of angle A is equal to the side “b” divided by the sine of angle B is equal to the side “c” divided by the sine of angle C.

# ꧁❣ RainbowSalt2²2² ࿐

Answer: Law of Sines


Have a good day

PLEASE HELP ME !! I NEED TO PASS !!

Answers

Answer:

216 ft squared

Step-by-step explanation:

[tex]18*12=216ft^{2}[/tex]

216 feet squared / C

on Monday, there were 18 chickens and 12 sheeps in a field. there were no other animals in the field. what was the ratio of chickens to sheep i the field on monday?


Answers

Answer:

18:12

Step-by-step explanation:

The ratio of chickens to sheep in the field on monday is 2 : 3.

What are ratio and proportion?

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

Given, On Monday, there were 18 chickens and 12 sheeps in a field.

Therefore, For every 18 chickens there is 12 sheeps in the feild.

So, Monday's chickens to sheep ratio in the field is,

Chicken : Sheep = 12 : 18.

Chicken : Sheep = 4 : 6.

Chicken : Sheep = 2 : 3.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ2

Item 23 Find the sale price. Original price: $50 Discount: 15%

Answers

Answer:

42.50

Step-by-step explanation:

50 x.15 =7.50 discount

50 (original price)-7.50 (discount)=42.50 (sales price)

square root of 7396 by division method​

Answers

Answer:

the square root of 7396 by long division method is 86

The diagram shows nine identical squares inside a rectangle.
The length of the rectangle is 18cm
Work out the width of the rectangle

Answers

Answer:

18 cm

Step-by-step explanation:

Let X represent a square

For it to be a rectangle, needs to be:

X X X

X X X

X X X

(It's a giant square made of squares)

This works since a square is a rectangle, but a rectangle isn't always a square. No other arrangement of the squares lead to a rectangle.

For Example:

X X X X

X X X X X

It doesn't work because there is an odd number of squares, and only would work if it was a multiple of 3,5,7 etc.. and 3 is the only number that fits.

So if the length is 18cm, the width is also 18cm.

. Solve: ⅔ x ¾ . Do not forget to simplify! *

Answers

Answer:

[tex]\frac{1}{2}[/tex] or 0.5

Step by Step Explanation:

1. Multiply the Numerators and Denominators

[tex]\frac{2}{3}[/tex] [tex]\frac{x}{x}[/tex] [tex]\frac{3}{4}[/tex] = [tex]\frac{6}{12}[/tex]

2. Simplify

[tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]

3. Solution

[tex]\frac{1}{2}[/tex] or 0.5

Josh started his own lawn maintenance company. He makes $20 on every
lawn that he cuts and his monthly expenses are $325. How many lawns does Josh
need to cut this month so that he can earn a total of $160 after he pays his
monthly expenses?

Answers

24.25 lawns to be honest i dont know how you can mow 25% of a lawn but here we are

Can someone help me solve this. 6÷2(1+2)=​

Answers

Answer:

9 is the correct answer

Step-by-step explanation:

please mark me as brainlist for the fast answer thanks

The answer is 9. I hope this helped!

The prime cost of an article was four times the value of material used. The cost of raw materials was increased in the ratio 3 : 4 and the productive wage was decreased in the ratio 4 : 5. Find the present prime cost of an article, which could formerly be made for Rs. 540

Answers

Answer:

Step-by-step explanation:

The prime cost = 4 times the value of material used

Former Prime cost = 540

Value of material = 540 / 4 = Rs. 135

Since ;

Prime cost = raw material + wages

540 = 135 + wages

Wages = 540 - 135

Wages = 405

Increase in raw material ; 3 : 4

New cost of raw materials = (4/3) * 135 = 180

Decrease in wage ; 4 : 5

New wage = 4/5 * 405 = 324

New prime cost :

180 + 324

= 504

THIS TOO GOD I NEED HELP SO BAD I DONT UNDERSTAND

Answers

Answer:

54.7

Step-by-step explanation:

16.7 + 11 + 11 + 8 + 8 = 54.7

Note

I don't know how you are wrong but I showed my work and I got the same answer which is weird.

Find the exact value of sin 2pi/3

Answers

Answer:

Step-by-step explanation:

sin 2π/3

sin 180*2/3

sin 360/3

sin 120

[tex]\sqrt{3}[/tex]/2

The diameter of a circle is 20 ft. Find its area in terms of T.
Answer: A=
ft2
Submit Answer
7

Answers

Answer:

314.2ft^2

Step-by-step explanation:

Given data

Diameter= 20ft

Radius r= 20/2= 10ft

The expression for the area is

A= πr^2

A= 3.142*10^2

A= 3.142*100

A= 314.2ft^2

Hence the area is 314.2ft^2

Write the rule for the following situation
Johnny gets a job at enterprise rent-a-car. He has an hourly wage of $10 per hour and makes $100 for every car he rents out. Assuming he only rents out one car,
write a rule to tell how much money he can make in a day, depending on how many hours he works.

Answers

Answer:

M(t) = ($10/hr)t + $100

Step-by-step explanation:

M(t) will represent the amount of money John earns in one day as a function of the number of hours he works, assuming he only rents out one car.  Then:

M(t) = ($10/hr)t + $100

Calculate the volume of the cylinder

Answers

Answer:

4^4 = 16 (we square our radius when finding area)

16 x 3.14(we then multiply the squared radius with pi so we could get the complete area) = 50.24

Now we multiply the area of one circle by the height to get the PRISM'S volume.

50.24(area) x 13(height) = 653.12 cm^3 is your answer.

What describes a statistical sample?

Answers

Answer:

Statistical sampling is drawing a set of observations randomly from a population distribution. ... By repeating the sampling operation a large number of times, perhaps 1000, we decrease the sampling error and increase the quality of the estimates.

Answer:

Heya Buddy!

Step-by-step explanation:

Statistical sampling is drawing a set of observations randomly from a population distribution. ... By repeating the sampling operation a large number of times, perhaps 1000, we decrease the sampling error and increase the quality of the estimates.

Hope that helps..

Take care..

Bye!

Miguel bikes 23 km per hour and starts at mile 10. Gabby bikes 28 km per hour and starts at hour 0. Which system of linear equations represents this situation

Answers

Answer:

Miguel: d = 23t + 10

Gabby: d = 28t

Step-by-step explanation:

We can write the equation for each case in slope-intercept form, d = mt + b

Where,

d = total distance

t = time

m (rate) = distance/hr

b = initial value

✔️ Miguel:

m = 23 km/hr

b = 10 mile

Equation: subtitle the values into d = mt + b

d = 23t + 10

✔️ Gabby:

m = 28 km/hr

b = 0 mile

Equation: subtitle the values into d = mt + b

d = 28t + 0

d = 28t

The Box and whisker plot below shows the number of points each member of the middle school basketball team made during the game on Saturday. What was the greatest number of points scored by a basketball player during the game on Saturday?​

Answers

Answer: You are correct. The answer is C) 7

This is because the max is visually shown by the tip of the right whisker. This assumes there are no large outliers. If there were large outliers, then we'd have island points to the right of the boxplot.

Letty has $5 in nickels, dimes, and quarters. She has 3 times as many nickels as dimes, and 5 times as much money in quarters as she does nickels. How many of each does she have?

Answers

Answer:

Letty has 15 quarters, 15 nickels, and 5 dimes.

Step-by-step explanation:

Given that Letty has $ 5 in nickels, dimes, and quarters, and she has 3 times as many nickels as dimes, and 5 times as much money in quarters as she does nickels, to determine how many of each does she have the following calculation:

Nickel = 5

Quarter = 25

25/5 = 5

Therefore, Letty has the same number of quarters as she has nickels, and therefore she has three times as many nickels and quarters as dimes.

3 x 0.25 + 3 x 0.05 + 1 x 0.1 = 1

15 x 0.25 + 15 x 0.05 + 5 x 0.1 = 5

Therefore, Letty has 15 quarters, 15 nickels, and 5 dimes.

Geometry
16. Find the value of x. The diagram is not to scale,

Answers

You solve by 140-68 which equals 72
So x=72 degrees

Answer:

72°

Step-by-step explanation:

A line is 180° and the total angle degrees are 180°

180 - 140 = 40

68 + 40 = 108

180 - 108 = 72

please please help!! i don’t know how to do this

Answers

Answer:

What is your question I will not see and understand

A coin is flipped 3 times. What is the probability that it lands on heads exactly 3 times? Write your answer as a reduced fraction (numerator/denominator).

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

three tries so your demonater is 3, 1 chance so numerator 1

Write the equation of the line in fully simplified slope-intercept form

Answers

The equation of the line is y=-x+2

Marking brainliest

Why is this right important

Answers

It’s pretty much just saying up front that there will be no bias on people because of race, gender, ethnicity, religion, etc. It’s just setting in stone the fact that any sort of discrimination or prejudice will not be tolerated at all.

someone please help asap

Answers

Answer:

Hello! answer: 135 degrees

Step-by-step explanation:

Its forming a straight line so

180 - 45 = 135 therefore x = 135 hope that helps!

Answer:

Step-by-step explanation:

x+45=180 degree(being straight line)

x=180-45

x=135 degree

does anyone know hot to find the area?

Answers

Circle = (pi)r²
So, (pi)22²
(pi)484
=1520.53084

If you’re using 3.14 for pi instead of the symbol on the calculator, the answer will be slightly different

A card is drawn from a five-card hand. The cards are labeled A, B, C, D, F. Then a spinner with 3 sections labeled as 1, 2, 3 is spun. What is the sample space?

Answers

Answer:

The sample space is the set of all the possible outcomes of a given experiment.

Here, our experiment consists on:

Drawing a card from a five-card hand, such that the outcomes there are:

A, B, C, D, E  (5 outcomes)

Followed by spinning a spinner with 3 sections labeled 1, 2 and 3 (3 outcomes).

The total number of outcomes of the combined event, is equal to the product between the numbers of outcomes for each event.

So for our experiment, the total number of outcomes is:

C = 5*3 = 15 outcomes.

And these outcomes are like:

Drawing the card A and spinning a 1 (represented with A-1)

Drawing the card C and spinning a 2 (represented with C-2)

etc.

The set of all possible outcomes are:

{A-1, A-2, A-3, B-1, B-2, B-3, C-1, C-2, C-3, D-1, D-2, D-3, F-1, F-2, F-3}

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