solve each inequality and show work.
1) 4x - 2 > 2x + 8
2) -3x - 6 > 4x - 20
3) 4(x + 1) < 3x - 2
4) 2x + 3 + x < -2x + 1 + 12
5) 2(x - 1) > 4x + 4 - 5x
6) 2 + 4x -7 < 8x + 2 - 2x
Answers
Answer: Use the app photo math, you just take a picture and it gives you the answer and shows you the steps:)
1) x> 5
2) x< 2
3) x<-6
4) x< 2
5) x> 2
6) x> - 7/2
Step-by-step explanation:
See the images below for the work:) The images will be in order with the number the first problem will be the answer to the first.
Answer:
[tex]\sf 1)\:4x - 2 > 2x + 8[/tex]
Add 2 from both sides:
[tex]\sf 4x-2+2>2x+8+2[/tex]
[tex]\sf 4x>2x+10[/tex]
Subtract 2x from both sides:
[tex]\sf 4x-2x>2x+10-2x[/tex]
[tex]\sf 2x>10[/tex]
Divide both sides by 2:
[tex]\sf \cfrac{2x}{2}>\cfrac{10}{2}[/tex]
[tex]\boxed{\sf x>5}[/tex]
_______________________________
[tex]\sf 2)\: -3x - 6 > 4x - 20[/tex]
Add 6 from both sides:
[tex]\sf -3x-6+6>4x-20+6[/tex]
[tex]\sf -3x>4x-14[/tex]
Subtract 4x from both sides:
[tex]\sf -3x-4x>4x-14-4x[/tex]
[tex]\sf -7x>-14[/tex]
Multiply both sides by -1:
[tex]\sf\left(-7x\right)\left(-1\right)<\left(-14\right)\left(-1\right)[/tex]
[tex]\sf 7x<14[/tex]
Divide both sides by 7:
[tex]\sf \cfrac{7x}{7}<\cfrac{14}{7}[/tex]
[tex]\boxed{\sf x<2}[/tex]
_______________________________
[tex]\sf 3)\: 4(x + 1) < 3x - 2[/tex]
Apply distributive property:
[tex]\sf 4x+4<3x-2[/tex]
Subtract 4 from both sides:
[tex]\sf 4x+4-4<3x-2-4[/tex]
[tex]\sf 4x<3x-6[/tex]
Subtract 3x from both sides:
[tex]\sf 4x-3x<3x-6-3x[/tex]
[tex]\boxed{\sf x<-6}[/tex]
_______________________________
[tex]\sf 4)\: 2x + 3 + x < -2x + 1 + 12[/tex]
Combine like terms:
[tex]\sf (2x+x)= 3x[/tex]
[tex]\sf( 1+12)=13[/tex]
[tex]\sf 3x+3<-2x+13[/tex]
Subtract 3 from both sides:
[tex]\sf 3x+3-3<-2x+13-3[/tex]
[tex]\sf 3x<-2x+10[/tex]
Add 2x from both sides:
[tex]\sf 3x+2x<-2x+10+2x[/tex]
[tex]\sf 5x<10[/tex]
Divide both sides by 5:
[tex]\sf \cfrac{5x}{5}<\cfrac{10}{5}[/tex]
[tex]\boxed{\sf x<2}[/tex]
________________________________
[tex]\sf 5)\: 2(x - 1) > 4x + 4 - 5x[/tex]
Combine like terms:
[tex]\sf (4x-5x)=-x[/tex]
[tex]\sf 2\left(x-1\right)>-x+4[/tex]
Apply distributive property:
[tex]\sf 2x-2>-x+4[/tex]
Add 2 from both sides:
[tex]\sf 2x-2+2>-x+4+2[/tex]
[tex]\sf 2x>-x+6[/tex]
Add x from both sides:
[tex]\sf 2x+x>-x+6+x[/tex]
[tex]\sf 3x>6[/tex]
Divide both sides by 3:
[tex]\sf \cfrac{3x}{3}>\cfrac{6}{3}[/tex]
[tex]\boxed{\sf x>2}[/tex]
_______________________________
[tex]\sf 6)\: 2 + 4x -7 < 8x + 2 - 2x[/tex]
Subtract 2 from both sides:
[tex]\sf 2+4x-7-2<8x+2-2x-2[/tex]
[tex]\sf 4x-7<8x-2x[/tex]
Combine like terms:
[tex]\sf (8x-2x)=6x[/tex]
[tex]\sf 4x-7<6x[/tex]
Add 7 from both sides:
[tex]\sf 4x-7+7<6x+7[/tex]
[tex]\sf 4x<6x+7[/tex]
Subtract 6x from both sides:
[tex]\sf 4x-6x<6x+7-6x[/tex]
[tex]\sf -2x<7[/tex]
Multiply both sides by -1:
[tex]\sf \left(-2x\right)\left(-1\right)>7\left(-1\right)[/tex]
[tex]\sf 2x>-7[/tex]
Divide both sides by 2:
[tex]\sf \cfrac{2x}{2}>\cfrac{-7}{2}[/tex]
[tex]\boxed{\sf x>-\frac{7}{2}}[/tex]
_______________________________________
Related Questions
Maya owns a house valued at $432,600. She still owes $233,458 on her mortgage. How much equity does she have in the house? (3 points)
Answers
Answer:
$199,142
Step-by-step explanation:
Given that
The value of the house i.e. assets is $432,600
The mortgage i.e. liability is $233,458
We need to find out the equity
As we know that
The accounting equation is
Total assets = Total liabilities + total equity
$432,600 = $233,458 + total equity
So, the total equity is
= $432,600 - $233,458
= $199,142
Answer:
No, she is not correct. She has only $30,000 in home equity. Equity is the value of ownership in an asset minus any debts owed on it. $315,000 minus $285,000 is $30,000.
Step-by-step explanation:
Took it straight from EDG 2022
who wants points and brainlist..........
Answers
Answer:
53.87 because 4 cant round the 6
Step-by-step explanation:
Answer:
53.87
Step-by-step explanation:
4 cannot round the 6
bill plays a game of a chance at school fair.
he spins these 2 spinners.
if the sum of his number is an even number, he will win a prize.
complete this addition chart to show the possible totals
Answers
Answer:
well... this normal addition
Step-by-step explanation:
9+8=17
9+1=10
5+4=9
5+2=7
3+4=7
3+1=4
HELP ME OUT GUYS!!!! Question is in the screenshot below.
Answers
Answer:
87.55 [tex]cm^2[/tex]
Step-by-step explanation:
the diagram shows an isosceles triangle. all measurements are in cm.
3x-5 19-x
2x
work out the perimeter of the triangle
Answers
Answer: 38
Solution: An isosceles triangle has two equal sides: 3x - 5 and 19-x.; 3x - 5 = 19 - x; 4x = 24; x = 6
Let's check it out: 3(6) - 5 = 13; 19 - (6) = 13; 2(6) = 12
Two equal sides are 13 and base 12
Perimeter is 13 + 13 + 12 = 38 units
Answer is: 38
The perimeter of the given isosceles triangle is 38 cm.
What is the perimeter of an isosceles triangle?The perimeter of an isosceles triangle refers to the addition of all the three sides of the triangle. Since the base angles of an isosceles triangle have two angles and two sides equal;
We can say that the perimeter of an isosceles triangle is:
P = 2a + b
where;
a = sides of the base anglesb = third side3x - 5 = 19 - x
3x + x = 19 + 5
4x = 24
x = 24/4
x = 6
The perimeter of the isosceles triangle is:
= 3x - 5 + 19 - x + 2x
= 3(6) - 5 + 19 - 6 + 2(6)
= 18 + 8 + 12
= 38 cm
Learn more about the perimeter of an isosceles triangle here:
https://brainly.com/question/11296804
Select the correct answer.
Which inequality can this number line represent?
PLEASE HELP!!!!
Answers
Answer:
A, because x>3 or x<-4
Answer: D is the answer.
-4 < x < 3
Step-by-step explanation:
5x-2>-22 and 6x - 7 < 11
5x > -20 and 6x < 18
x > -4 and x < 3
Rearrange: -4 < x < 3 answer choice D
A cone has a radius of 2 centimeters and a height that is 24 cm. Using 3.14 for pi, which of the following can
be used to calculate the volume of the cone?
Answers
Answer:
option 3
Step-by-step explanation:
[tex]volume = \frac{1}{3} \pi r^2 h = \frac{1}{3} \times 3.14 \times 2^2 \times 24[/tex]
KaVaugn wants to solve the following system using the elimination method:
y = x − 6
y = -4x − 19
What number should the equation y = x − 6 be multiplied by to eliminate x? (4 points)
a
1
b
2
c
4
d
−6
Answers
Answer:
d.-6
Step-by-step explanation:
sana makatulong
which statement is the best example of the chemical weathering of water
Answers
The distance between D(-3,5) and E(x, 9) is 15. Find the value(s) of the
missing coordinate.
Answers
9514 1404 393
Answer:
x ≈ -17.457 or 11.457
Step-by-step explanation:
The distance formula can help.
d = √((x2 -x1)² +(y2 -y1)²)
Substituting given values, we have ...
15 = √((x -(-3))² +(9 -5)²)
225 = (x +3)² +16 . . . . . . . . square both sides
209 = (x +3)² . . . . . . . . . . . subtract 16
±√209 = x +3 . . . . . . . . . take the square root
-3 ± √209 = x . . . . . . . . subtract 3
x ≈ -17.457 or 11.457
please check screenshot
Answers
Answer:
Domain: {-2, -1, 0, 1, 2, 3}
Range: {-5, -3, -1, 1, 3, 5}
Step-by-step explanation:
The domain is the set containing all the x-coordinates, and the range is the set containing all the y-coordinates.
Domain: {-2, -1, 0, 1, 2, 3}
Range: {-5, -3, -1, 1, 3, 5}
Can I get a answer for all of it?
Answers
Answer:
R'=(-3,6)
Q'=(-3,-3)
S'=(7,6)
T'=(7,-3)
Answer:
see explanation
Step-by-step explanation:
A translation of 7 units right means adding 7 to the x- coordinate. The y- coordinate remains unchanged, then
Q (- 10, - 3 ) → Q' (- 10 + 7, - 3 ) → Q' (- 3, - 3 )
R (- 10, 6 ) → R' (- 10 + 7, 6 ) → R' (- 3, 6 )
S (0, 6 ) → S' (0 + 7, 6 ) → S' (7, 6 )
T (0, - 3 ) → T' (0 + 7, - 3 ) → T' (7, - 3 )
Does anyone know how to find the volume of a cylinder?
Answers
Answer:
V=πr2h
you could've searched this up but i hope this helps anyway
50.26 to nearest hundredth
Answers
Answer:
it's already in the hundredths place
Step-by-step explanation:
.1 <- tens place
.01<- hundredths place
.001<-thousands place
what is the value of x? i need the work for it as well thank you so much!
Answers
Answer:
x=19
Step-by-step explanation:
okay so all those angles there are pretty simple. because of the vertical angles theorem, the angles that go across from each other are equal to each other. On a thing like this those intersections are congruent. So knowing this we can assume that (6x+4)=118. so if you solve the basic algebra for that (you can use mathpapa or smt if you really need the work for that) then it comes out as x=19 which you can check.
6x+4=118
subtract 4 from both sides
6x=114
divide by 6 on both sides
x=19
Hope this helps!
I need help on this question
Answers
Answer:
well first figure out the area of the parallelograms and divide the full area by the area of the pieces.
Step-by-step explanation:
Please help I'm failing
Answers
Answer:
Unit rate!
Step-by-step explanation:
A unit rate is a rate that has a denominator of 1!
~ LadyBrain
Un zapatero desea empacar en cajas rectangulares los zapatos que producen estima que el volumen de cada par de zapatos es de 600 cm 3. La caja que le ofrecen mide 29cm de largo 16 de ancho le conviene o no comparar ese tipo de caja justificó mi respuesta
Answers
Answer:
4/11 since -5/9 between 4/11 is equal to -55/36
step by step explanation:
45 + 66 + 130 = 3747
44 + 43 + 452
3638-5362
233 reply
I don't think this is right ButStep-by-step explanation:
Mark me brainliest and u shall get our answerFind the Value of X. Thanks.
Answers
Answer:
x = 90
Step-by-step explanation:
This will add up to 360 degrees in total
90 + 90 + 90 + 90 = 360 therefore x = 90 Hope that helps!
Which equation represents the word sentence shown below?
The quotient of a number band 0.3 equals negative 10.
Answers
Answer:
where are the equations?
Step-by-step explanation:
tell me and I will edit my answer to answer ur question
Answer:
Step-by-step explanation:
HELP IM BEING TIMEDDD THANK YOU
Answers
Answer: A and C!
yw :DD\
graph the equation y = 2 (x - 4)^2 + 5
Answers
Answer:
Step-by-step explanation:
Solve the equation for x.
Answers
Answer:
-110
Step-by-step explanation:
[tex]-\frac{x}{10} =11[/tex]
-x=11×10=110
x=-110
Kenny'sofficehadalreadyrecycled29kilogramsthisyearbeforestartingthenewrecyclingplan,andthenewplanwillhavetheofficerecycling1kilogramofpapereachweek.HowmanyweekswillittakeKenny'sofficetorecycleatotalof43kilogramsofpaper?
Answers
Answer:
hi people of the 21 century
Step-by-step explanation:
Luther bought a juice box shaped like a rectangular prism. The juice box is 4 inches tall, 3 inches wide, and 1.5 inches deep. Each cubic inch of the juice box holds 0.55 fluid ounces of strawberry-kiwi punch.
How many fluid ounces of punch does the juice box hold?
Answers
Find the measure of the missing angle.
Answer: a= ______
(NO FILES) IF YOU ANSWER YOU WILL BE MARKED BRAINLIEST :)
Answers
Answer:
a= 32
Step-by-step explanation:
Since "a" is a part of a supplementary angle (An angle that adds up to 180º)
What you would need to do is add 58º and 90º (90º because the right angle = 90)
so 58+90 = 148
Then you would subtract 148 from the total of the angle (Which is 180)
so 180 - 148 = 32, And that shows that a = 32
(P.S. THE BOTS THAT POST THE LINKS TO THE FILES ARE POSTING MALWARE AND VIRUSES, DO NOT DOWNLOAD ANYTHING FROM THEM THEY ARE VIRUSES. IF YOU HAVE DOWNLOADED ANYTHING, GET A RELIABLE ANTIVIRUS SOFTWARE AND SCAN YOUR COMPUTER)
There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what sea is in simplest radical form
Answers
Answer:
C = 18
Step-by-step explanation:
There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what is C is in simplest radical form
Solution:
A triangle is a shape with three sides and three angles. Types of triangle are right angled, isosceles, scalene, obtuse, acute.
The length of the side in a triangle is directly proportional to the opposite angle (angle facing the side).
A right angled triangle is a triangle with one angle equals to 90 degrees.
Since the shortest line is 9, the angle facing the shortest line is the smallest angle. The longest line is the hypotenuse which is given as C. Trigonometric identities shows the relationship between the sides of a triangle and its angles, hence:
sin30 = 9 / C
0.5 = 9 / C
C = 9/0.5
C = 18
A class has 12 boys and 16 girls. The teacher needs to pick two volunteers. What is the probability that she chooses a girl given that she chose a boy first? All answers should be given as a fraction in simplest form!
Any help is appreciated!
Answers
Answer:
16/27
Step-by-step explanation:
12 boys and 16 girls
She already chose a boy so now there are (11+16) = 27 possible outcomes
There are 16 favorable outcomes(girl)
so the fraction is 16/27
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
if u subtract 12 from a number and multiply the result by 12 you get 18. what is the number
Answers
Answer:
27/2 is the value of the number.
Let the number be x.
According to the question,
12(x-12)=18
x-12=18/12
x-12=3/2
x=3/2+12
x=3/2+24/2
x=27/2
HOPE IT HELP :)
Answer:
13.5 27/2 13 (1/2) all the same
Step-by-step explanation:
(x-12)x12 = 18
12x-144 = 18
12x = 162
x = 162/12 = 27/2 = 13(1/2) = 13.5
Find the sum, if it exists, of the infinite geometric series S= 1/181 + 1/27+ 1/9+….
a)S= 1/54
b)S=1/9
c)S=1/6
d)This infinite geometric series diverges.
Answers
Answer:
S∞=12. Explanation: Formula for sum of infinite geometric series is. S∞=a11−r ; −1<r<1. We have a geometric series ...
Step-by-step explanation:
That's it hope it helps.^^
#carryonlearning