Answer:
x∈(-24, 0) ⇒ -24 < x < 0Step-by-step explanation:
|3x + 12| < 2 |x - 6|
|3(x + 4)| < 2 |x - 6| ⇒ -4 and 6 are "zeros"
1°. x∈(-∞, -4> ⇒ |3x + 12| = - (3x + 12) and 2|x - 6| = -2(x-6)
-(3x + 12) < -2(x - 6)
-3x - 12 < -2x + 12
-x < 24
x > -24 ∧ x∈(-∞-4> ⇒ x∈(-18, -4>
2°. x∈(-4, 6) ⇒ |3x + 12| = 3x+12 and 2|x - 6| = -2(x-6)
3x + 12 < -2(x - 6)
3x + 12 < -2x + 12
5x < 0
x < 0 ∧ x∈(-4, 6) ⇒ x∈(-4, 0)
3°. x∈(6, ∞) ⇒ |3x + 12| = 3x+12 and 2|x - 6| = 2(x-6)
3x + 12 < 2(x - 6)
3x + 12 < 2x - 12
x < -24
x < -24 ∧ x∈(6, ∞) ⇒ x∈∅
x∈1°∪2°∪3°
x∈(-24, -4>∪(-4, 0)∪∅
x∈(-24, 0) ⇒ -24 < x < 0
- 3c = - 5 — 4с
I want to know the answer
Answer:
c=-5
Step-by-step explanation:
Mr. Smith set aside 5/6 of an hour for homework after school each day. How many hours of homework does he do in 5 days?
4 1/6 hours
3 1/2 hours
4 1/2 hours
50 minutes
You have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 100 dollars give or take 25. Write an inequality to describe the amount of money in your wallet.
Answer: 75 < x < 125.
Step-by-step explanation:
Let x be the amount of money in your wallet.
The phrase "100 dollars give or take 25" means wallet can have money between (100-25) dollars and (100+25) dollars.
i.e. 100-25 < x < 100+25
⇒ 75 < x < 125.
That means the amount of money in your wallet lies between 75 dollars and 125 dollars.
Hence, the inequality to describe the amount of money in your wallet is 75 < x < 125.
find y if x = -3 whats the answer
A. y = 1/3 (-3) - 3 = - 6
B. y = 2(-3)^2 - 3(-3) - 2
= 2(9) - 3(-3) - 2
= 18 + 9 - 2
= 25
C. 2(-3) - 5y =4
- 6 - 4 = 5y
y = - 2
Answer:
A = -6
B = 25
C = 2
Step-by-step explanation:
-3*1/3 = -1, and -1-5=-6
2(-3)^2=2(9)=18 -3*-3=9 18+9=27 27-2=25
for the last rewrite the equation
2x-4=5y
-6-4=-10
-10=5y
y=-2
Susie and Peggy arrive at the fair with $32.50. The entrance fee per person is $7.50 and each ride costs $2.50 per person. What is the total number of rides they can go on if they each pay the entrance fee? Write and solve an equation for this situation
32.50 - (7.50*2) = 17.50
17.50 / 2.50 = 7
the difference of a number x and 5
Answer:
x-5
Step-by-step explanation:
"difference" means subtraction. since there isn't a specific number given then we can use x. "and" indicates where the symbols goes.
Please help! I will mark brainliest. Sketch the following graphs in order:
Answer:
Domain of f(x) = 2/7x - 2: (-∞, ∞)
Range of f(x) = 2/7x - 2: (-∞, ∞)
Domain of f(x) = |x + 3| - 1: (-∞, ∞)
Range of f(x) = |x + 3| - 1: [-1, ∞)
Domain of f(x) = -5x + 4: (-∞, ∞)
Range of f(x) = -5x + 4: (-∞, ∞)
Step-by-step explanation:
We can use a graphing calculator to find the graphs.
Domain is the set of all x-values that can be inputted into function x.
Range is the set of all y-values that can be outputted from function x.
Which number line have a point that is equal to point p? Check all that apply
A and C is the answer
Answer: A and C
Step-by-step explanation:
solve this please
[tex]5x - 2(4x + 11) = 14[/tex]
Answer:
Step-by-step explanation:
5x - 8x - 22 = 14
-3x - 22 = 14
-3x = 36
x = -12
Answer:
x = -12
Step-by-step explanation:
5x - 2(4x+11) = 14
5x - 2*4x -2*11 = 14
5x - 8x - 22 = 14
-3x = 14 + 22
-3x = 36
x = 36/-3
x = -12
Check:
5*-12 -2(4*-12 + 11) = 14
-60 -2(-48+11) = 14
-60 -2(-37) = 14
-60 + 74 = 14
vienna earns $53 per week working part time at a bookstore. She makes $1 more for each book that she sells. The amount, A (in dollars), that vienna earns in a week if she sells b books is given by the following function.
A(b)=53+b
how much does Vienna earn in a week if she sells 35 books?
Answer:
$88 or $298
Step-by-step explanation:
take viennas $53 per week and add the extra $35 she makes for selling books and you get $88
or
take viennas $53 per week and add the extra $245 she makes for selling books and you get $298
the first is if she sells 35 books for the whole week, and i wrote the second one for if you mean she sells 35 books a day
(im not sure if this is right, but its the closest thing i can think of)
Answer:
88 or 298!
Step-by-step explanation:
take viennas $53 per week and add the extra $35 she makes for selling books and you get $88
or
take viennas $53 per week and add the extra $245 she makes for selling books and you get $298
the first is if she sells 35 books for the whole week, and i wrote the second one for if you mean she sells 35 books a day
(im not sure if this is right, but its the closest thing i can think of)
3.
[tex] - \sqrt{49} [/tex]
find each square root
Answer:
The negative square root of -49 is -7
Evaluate the following function over the domain {0,1,2,3}. What is the range? g (x) = -2x^{2} + 2
Answer:
the range= {-16, -6, 0, 2}
Step-by-step explanation:
domain={0,1,2,3}
g(x)= -2x^{2} + 2
g(0)= -2(0)^{2} + 2 =2
g(1)= -2(1)^{2} + 2 =0
g(2)= -2(2)^{2} + 2= -6
g(3)= -2(3)^{2}+ 2= -16
the range = {-16, -6, 0, 2}
If a/\2+1/a/\2=11, then a+1/a=?
Answer:
[tex] \pm \sqrt{13} [/tex]
Step-by-step explanation:
[tex] \bigg(a + \frac{1}{a} \bigg)^{2} = {a}^{2} + \frac{1}{ {a}^{2} } + 2 \times a \times \frac{1}{a} \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 11 + 2 \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 13 \\ \\ \bigg(a + \frac{1}{a} \bigg) = \pm \sqrt{13} [/tex]
Is 8/5
an irrational number?
what is 18 less than the quotient of a number and 3 as an expression
Answer:
n/3 - 18
Step-by-step explanation:
"quotient of a number and 3" is n/3, and so
"18 less than the quotient of a number and 3" as an expression is:
n/3 - 18
What is the rule for the transformation from the smaller polygon to the larger polygon?
JUST ANSWER ME PLEASE
Do the ratios 20/10 and 1/2 form a proportion?
Answer:
no
Step-by-step explanation:
they do not form a proportion because they are not equivalent to each other.
Write the improper fraction 33/10 as a mixed number
the answer is 3 3/10
hope this helps
How do you write 8409.08 in words?
Answer:
eight thousand four hundred nine and eight hundredths
Step-by-step explanation:
Answer:
The answer is, Eight-thousand four-hundred nine and eight thousandth
Step-by-step explanation: All you have to do is say it enough. Please have a nice day.
Evaluate the expression when g=3 and h=39.
h-5g
Answer:
29
Step-by-step explanation:
g=3 h=39
h-5g
Substitute the values in for the variables :
39-5(3)
Order of operations: multiply first
39-15
=24
Hope this helps :)
please help me i'm confused
(grade 7-8)
What is the distance from M(-1, 6) to N(11, 1)?
Please show all work and not just the answers.
Distance = sqrt(x1-x2^2 + y1-y2^2)
Distance = sqrt((-1-11)^2 +(6-1)^2)
Distance = sqrt(12^2 + 5^2)
Distance = sqrt(144 + 25)
Distance = sqrt(169)
Distance = 13
The given box plots show the number of text messages Paul and Sally received each day on their cell phones. Select the true statement. * Captionless Image Paul's data has a larger overall spread than Sally's data. The median of Paul's data is equal to the median of Sally's data. The median of Paul's data is greater than the median of Sally's data. The interquartile range of Paul's data is less than the interquartile range of Sally's data.
Answer:
Its pauls data has a larger overall spread than sally.
Step-by-step explanation:
I just took the test and I got a 100. :)
Point B is on line segment AC. Given AB = 2x + 10, BC = x, and AC = 5x,
determine the numerical length of AC.
Answer:
AC = 25
Step-by-step explanation:
Since B is on the segment AC, then
AC = AB + BC, substitute values
5x = 2x +10 + x , that is
5x = 3x + 10 ( subtract 3x from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
Thus
AC = 5x = 5(5) = 25
Write 3.24 x 10-4 in standard notation.
An adults heart beats about 2100 times every 30 minutes.A baby beats about 2600 times every 20 minutes. How many more heart beat i 60 minutes than an adults hearts?
Given :
An adults heart beats about 2100 times every 30 minutes.
A baby beats about 2600 times every 20 minutes.
To Find :
How many more heart beat baby have than adult in 60 min .
Solution :
Now , total number of heart beats of adult in 60 min , [tex]T_a=2100\times 2=4200[/tex]
Also , total number of heart beats of adult in 60 min , [tex]T_b=2600\times 3=7800[/tex]
Difference between them , [tex]7800-4200=3600[/tex] beats .
So , baby have 3600 more heart beats than adult .
Hence , this the required solution .
An up-and-coming artist has 85 followers on Twitter and this number doubles every week. In what week will the artist first reach 1,000 followers? Use at least two different methods to come up with your answer.
Answer:
5.8 , which approximately is 6 weeks.
Step-by-step explanation:
the first method is the short one since u just have to double the 85 then divide to 1000.
1000 ÷ ( 85 × 2)
1000 ÷ 170 = 5.882,,,,,. round off to whole number to get 6.
the second method is the addition method.
we start by 85 then keep doubling 85 for every week........inshort.......we add 170 to each weeks number to get the number of followers for the following week.
85 ⇒ 170 ⇒ 340 ⇒ 510 ⇒ 680 ⇒ 850 ⇒ 1020.
1st 2nd 3rd 4th 5th 6th week.
u notice that we add (85×2), 170, to get the following week's number of followers..
in 5 weeks..... the number of followers is yet to get to 1000.
when u divide, u get 5.8.....,and it is not logic to say 5.8823....weeks
since she reaches 1000 followers in the 6th week.......though there is an addition,,,, it is the most appropriate answer.
It will take [tex]6[/tex] week to reach [tex]1000[/tex] followers.
First, we are using two step to find the answers.
Division Addition
Division:
By given, A artist has [tex]85[/tex] followers.
Every week the no. of. followers is doubled .
Now, find how many week the artist reach [tex]1000[/tex] followers.
Since week followers is doubled,
So ,[tex]85*2[/tex]
Thus,
[tex]1000\div(85*2)\\\\=1000\div170\\\\=5.883[/tex]
Which is not possible .
Then, it take [tex]6[/tex] week to reach the [tex]1000[/tex] followers.
Addition:
By given, A artist has [tex]85[/tex] followers.
Every week the no. of. followers is doubled .
To find how many week the artist reach [tex]1000[/tex] followers.
Now, the first week has [tex]85[/tex] followers.
[tex]85[/tex] followers doubled.
[tex]85+85=170[/tex] followers doubled in every week .
Then,
Second week has [tex]85+85=170[/tex] followers.Third week has [tex]170+170=340[/tex] followers.Fourth week has [tex]340+170=680[/tex] followers.Fifth week has [tex]680+170= 850[/tex] followers.Sixth week has [tex]850+170= 1020[/tex] followers.Hence, the artist reach [tex]1000[/tex] followers in mid week of [tex]5[/tex] to [tex]6[/tex] week .
so, it approximately take [tex]5.88[/tex] week to reach [tex]1000[/tex] followers but which is impossible to take decimal in week .
Thus, the artist take [tex]6[/tex] week to reach the [tex]1000[/tex] followers.
For more information:
https://brainly.com/question/17367033
k to the power of 8 times k
Steps to solve:
k^8 * k
~Since we are multiply k to itself, we just add one to the exponent of 8.
k^8+1
k^9
Best of Luck!
Frank has a sample of steel that weighs 80 grams. If the density of his sample of steel is 8 g/cm3, what is the sample’s volume?
Answer:
volume of the sample is 10 cm³
Step-by-step explanation:
volume = 80 g / 8 g/cm³
volume = 10 cm³
I hope this helps you :)
-KeairaDickson
Let sin(45°)=0.7071.Enter the angle measure (μ), in degrees for cos(μ)=−0.7071.
any value equivalent to 360n +
, wheren is an integer
Given :
Let sin(45°)=0.7071.
To Find :
The angle measure (μ), in degrees for cos(μ)=−0.7071 and value equivalent to 360n + , where n is an integer .
Solution :
We know , value of sin x and cos x is same at x = 45° .
Now , cos (-x) = cos(90°+x)
Therefore , μ in given question is :
μ =90°+45°
μ=135°
So , for angle of type 360°n + :
μ = 360°n + 135° .
Hence , this is the required solution .