The compound inequality solving original inequality |3x – 5| > 10 is given by: Option C: [tex]3x - 5 < -10[/tex] or [tex]3x -5 > 10[/tex]
What is magnitude and sign?A number has both magnitude(its absolute value) and its sign(positive or negative).
If numbers are negative, the more their magnitude increases, the lesser they become.
If numbers are positive, the more their magnitude increases, the greater they become.
Thus, for -5, the magnitude is 5, and sign is –ve.
Also, positive numbers > 0 > negative numbers.
|x| = magnitude of x.
Thus, |3x-5| > 10 is true if (3x-5) < -10 (since in that case, 3x-5 is negative but in negative signed values, values with more magnitude are smaller. Thus |3x-5| > |-10} = 10)
or (3x-5) > 10
(in case if (3x-5) is non-negative).
Thus, the compound inequality solving original inequality |3x – 5| > 10 is given by: Option C: [tex]3x - 5 < -10[/tex] or [tex]3x -5 > 10[/tex]
Learn more about compound inequalities here:
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Answer:
it’s C trust me
Step-by-step explanation:
Which statement about f(x) and its translation, g(x), is true? The domain of g(x) is {x | x > 6}, and the domain of f(x) is {x | x > 0}. The domain of g(x) is {y | y > 0}, and the domain of f(x) is {y | y > 6}. The asymptote of g(x) is the asymptote of f(x) shifted six units down. The asymptote of g(x) is the asymptote of f(x) shifted six units up.
The correct statement about f(x) is the asymptote of g(x) is the asymptote of f(x) shifted six units up.
The given functions are;
F(x) = 7x
g(x) = 7x + 6
Parent functionA parent function is the simplest function that still satisfies the definition of a certain type of function.
We can see that 6 has been added to the function f(x) to get the function g(x).
We know that when we add some constant 'c' in the function then the function gets shifted upward by 'c' units.
Therefore, we will get g(x), when we will shift f(x) upward by 6 units.
Both functions are linear functions hence, the asymptote of g(x) is the asymptote of f(x) shifted six units up.
Hence, the correct statement about f(x) is the asymptote of g(x) is the asymptote of f(x) shifted six units up.
To know more about the parent function click the link given below.
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Answer:
d The asymptote of g(x) is the asymptote of f(x) shifted six units up.
Step-by-step explanation:
What is the domain of the function y = StartRoot x 6 EndRoot minus 7?.
A function is a mapping from domain to range. The domain of the function [tex]y = \sqrt{x+6} - 7[/tex] is given as: [tex]x \geq -6[/tex] or [tex]x \in [-6, \infty)[/tex] (both are same)
What is domain and range of a function?Domain is the set of values for which the given function is defined.Range is the set of all values which the given function can output.One method of finding the domain of a function is to start by finding the values for which it isn't defined.
Assuming that the function [tex]y = \sqrt{x+6} - 7[/tex] is defined for only real numbers, then, as we know that:
[tex]\sqrt{x}[/tex] exists only if x is non-negative, which means for [tex]\sqrt{x+6}[/tex] to be defined, we need
[tex]x + 6 \geq 0\\x \geq -6[/tex]
No other way is there for the function to be non-existing.
Thus, the values on which the function is defined is all real numbers bigger or equal to -6. This is the domain of the given function.
Thus, the domain of the function [tex]y = \sqrt{x+6} - 7[/tex] is given as: [tex]x \geq -6[/tex] or [tex]x \in [-6, \infty)[/tex] (both are same)
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Answer:
Its B
Step-by-step explanation:
Is (4,2) a solution to this system of equations?
y = -x + 6
y = 2x - 4
Answer:
No
Step-by-step explanation:
substitute the x- coordinate of the point into both equations and if the value obtained is equal to the y- coordinate then the point is a solution.
y = - 4 + 6 = 2 ← true
y = 2(4) - 4 = 8 - 4 = 4 ≠ 2 ← false
Thus the point is not a solution to the system
80 POINTS
Gavin is moving into a new apartment that has a kitchen with an area of 50 square feet. If the area of the kitchen is 10 square feet more than the area of the bedroom, what is the area of the bedroom?
Complete the steps below to find the area of Gavin’s bedroom.
Part A
Let the variable b represent the area of the bedroom. Write an equation in terms of b to represent Gavin’s situation.
Part B
What is the first step in solving the equation you wrote in part A? Explain.
Part C
Rewrite the equation from part A to complete the first step.
Part D
What is the second step in solving the equation you wrote in part A? Explain.
Part E
Rewrite the equation from part C to complete the second step.
Part F
Recall the method that the video showed to solve Gavin’s word problem. The video showed how we can use numerical expressions (with the help of a diagram) to arrive at a solution.
Compare the expression method from the video with the equation method that uses the variable b. Do both methods use the same sequence of operations?
Part G
What does your answer to part F imply? Explain.
Answer:
40
Step-by-step explanation:
A. 50 - 10 = b
B. Finding the equivalence is the first step
C. b = 40
D. Subtracting 10 from 50
E. Already did b = 40
F. Yes, they both work the same way.
G. you have choices to make to get the right answer.
help pls i beg you
with steps
Answer:
b) 1990659
Step-by-step explanation:
b) 9*9*9*9=6561, 12*12*12=1728, 8*8*8*8=4096 / 12*12=729, 2*2*2*2*2=32. 6561*1728*4096/729*32=1990656
The perimeter of square is 240.What is the length
Write a simplified expression for the perimeter of the triangle.
Answer:
15m+13
Step-by-step explanation:
The perimeter of a triangle is the sum of all sides.
[tex]=(7m+4)+(8m-3)+(12)\\\\=7m+4+8m-3+12\\\\=15m+13[/tex]
What are the steps to (5xy^3)^2(xy)^4?
Answer:
25x^6 y^10
Step-by-step explanation:
Simply: (5xy^3)^2: 25x^2 y^6
25x^2 y^6 (xy)^4
Apply exponent rule: (a * b)^n = a^n b^n
(xy)^4 = x^4 y^4
25x^2 y^6 x^4 y^4
Simply: x^2 x^4: y^10
25x^6 y^6 y^4
Simply: y^6 y^4: y^10
25x^6 y^10
Please help this is due today
Answer:
The answer is 345
Step-by-step explanation:
The lateral surface area of a cylinder can be defined as the surface area of all of the sides of the cylinder excluding its base and top is calculated using lateral_surface_area = 2* pi * Radius * Height. To calculate Lateral Surface Area of a Cylinder, you need Radius (r) & Height (h).
but instead, will be using 3.14
2*3.14*4.9*11.2
6.28*54.88 = 344.6464
344.6464 rounded to the nearest whole number is:
345
i bought 16 cupcakes and then last week i bought 9 keep the pattern going
PLEASE I WILL GIVE BRAINLY
Answer:
25
Step-by-step explanation:
Find the value of x. PLS HELP ASAP
Answer:
[tex] \sqrt{212} [/tex]
Step-by-step explanation:
[tex]( {2 \sqrt{5} })^{2} - {2}^{2} \\( 4 \times 5) - 4 \\ 20 - 4 \\ 16 \\ \sqrt{16 } = 4 \\ \\ {4}^{2} + {14}^{2} \\ 16 + 196 = 212 \\ \sqrt{212} [/tex]
4(3y-9) can be written as ?
Hey there!
4(3y - 9)
DISTRIBUTE 4 WITHIN the PARENTHESES
= 4(3y) + 4(-9)
= 12y - 36
Therefore, your answer is: 12y - 36
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[tex]4(3y - 9) = (4 \times 3y) - (4 \times 9) [/tex]
[tex]= 12y - 36[/tex]
SOMEONE PLS TELL ME HOW TO SOLVE THIS AND HOW TO GET THE ANSWERS STEP BY STEP
Answer:
Down Below
Step-by-step explanation:
Exponent Rules:
[tex]a^x * a^b = a^{a + b}, \frac{1}{a^{|x+b|}}[/tex][tex]\frac{a^x}{a^b} = a^{x - b}[/tex][tex](a^x)^b = a^{xb}[/tex]Given these rules,
[tex]3^9 * 3^4 = 3^{13}[/tex][tex]3^4 * 3^{-9} = \frac{1}{3^5}[/tex][tex]\frac{3^9}{3^5} = 3^{9 - 4} = 3^5[/tex][tex](3^9)^4 = 3^{36}[/tex]-Chetan K
A toy shop has stuffed Ana I’m als originally priced at $25 each. There is now a 20% discount on the stuffed animals. What is the sale price of each stuffed animal?
Answer:
$20 for each stuffed animal
Step-by-step explanation:
[] The original price is $25, but it is 20% off.
100% - 20% = 80%
[] Now we can find 80% of $25.
-> First, 80% divided by 100 becomes 0.8, a decimal we can work with
25 * 0.8 = 20
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
I need help, please pick the answers many that there the equivalent of 4(x + 1) + 7(x + 3)?
Answer:
B and C
Step-by-step explanation:
4(x+1) + 7(x+3)
4x + 4 + 7x + 21 <-- Choice B
11x + 25 <-- Choice C
an employee earns $31.20 after four hours and $54.60 after seven hours. What is the employees hourly rate of pay?
Answer:
$7.80 an hour
Step-by-step explanation:
$31.20/4 = 7.8
$54.60/7 = 7.8
Answer:
$7.80 per hour
Step-by-step explanation:
I know this equation might seem a bit complicated, but it's actually really simple. Just divide.
$31.20/4 = $7.80
Now we just have to make sure the second one matches.
$54.60/7 = $7.80
Since they both match, the hourly rate of pay is $7.80.
The sum of two numbers is 35. One number is 7 less than the other. Find the numbers.
Answer:
14+21
Step-by-step explanation:
because, 14+21 =35
21 is 7 more bigger than 14
Two trains, Train A and Train B, weigh a total of 473 tons. Train A is heavier than Train B. The difference of their weights is 397 tons. What is the weight of each train?
Answer:
You say
473- 397
=76
So maybe train A is 76 tons while train B is 397
Hope answer helps
Karl has 200 coins in a jar. Nickles make up 10% of the coins in the jar, pennies make up 60% of the coins in the jar. All the coins in the jar are pennies, nickles, or dimes.
1) How many of the coins are nickles?
2) How many of the coins are dimes?
3) If Karl removes 100 pennies from the jar, then what percent of the remaining coins in the jar would be pennies?
PLEASEEEE HELP ASAP!!!!!!!!!!!! IT WOULD MAKE MY LIFE!!!
Answer:
We know that there are 200 coins
10 percent of the coins in the jar are nickels.
60 percent of the jar are pennies.
So how many nickels, dimes, and pennies.
Let’s break this down.
So 200 coins and 60 percent are pennies.
so lets find pennies first, so remeber percent means “out of a hundred” so 60 percent is really 60/100 or 0.6. Multiply 0.6 by 200 and you’d get 120 pennies.
120 pennies
Now 10 percent fo the coins in the jar are nickels. Same thing, 10 percent is basically 10/100 or 0.1. 0.1 * 200 is 20.
(1) 20 nickels
Now we know that there are 120 pennies and 20 nickels. The remaining is 60 coins left which has to be dimes.
2) 60 dimes.
Now if Karl removes 100 pennies, what would the percentage be. Now there were 120 pennies. So 120-100= 20. There’d be 20 pennies left.
We have to find the percentage but remember its 100 coins gone too so.
200-100=100
So it’s asking what percent of 100 is 20. Which should be pretty simple to look at (only in this situation or any other easily definable benchmarks).
3) 20 percent are pennies.
Hope it helped?
*brainly is appreciated*
please answer this math question with a clear explanation, thank you in advance to whoever does
I think the answer is B
To find this out, I used the process of Elimation.
It can't be A, because it is greater than 1.414...
It cant be C, because that's just the number 1
it can't be D, because that's less than 1.414...
So, the answer is B
Hope you find this useful!
Answer:
√4/2
Step-by-step explanation:
The square root of 2 has the approximate value 1.41421356
Signs of trig functions:
Answer:
Step-by-step explanation:
Each one of the trig functions is plus in two quadrants.
The sin(theta) is plus in 2
The Tan(theta) is plus in 3
The cos(theta) is plus in 4
Rule: if the trig function is not plus, then it is minus.
So if Tan (theta) is minus it means theta is in quad 2 or quad 4
So in this case theta is either in quad 2 or quad 4.
The sin is plus, that means that theta is in quad 2.
An isosceles triangle has side lengths of 16, an altitude of x, and a base of 2x. Find the length of the base.
Answer:
Step-by-step explanation:
Since the altitude of an isosceles triangle drawn from its vertex angle bisects the base, we can use the pythagorean theorem to say that:
16^2 = x^2 + x^2
256 = 2x^2
128=x^2
x = 8sqrt2.
so the base has a length of 16sqrt2.
Determine the total annual UIF contributions that will be paid by Mrs Chauke
The unemployment insurance fund (UIF) is simply a short-term relief that's given to employees when they're unemployed.
What is an unemployment insurance fund?Your information is incomplete. Therefore, an overview of the unemployment insurance fund will be given
The unemployment insurance fund is a short-term relief that's given to employees when they're unemployed. It is also given when they're unable to work due to maternity, adoption, illness, etc.
The unemployment insurance fund (UIF) is calculated as 2% of an employee's remuneration that is split evenly between the employee and the employer,
Learn more about insurance on:
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An image of a rectangular prism is shown below: A right rectangular prism is shown. Part A: A cross section of the prism is cut with a plane parallel to the base. What is the name of the shape created by the cross section? Explain your answer. (5 points) Part B: If a cross section of the prism is cut diagonal to the base, what would be the shape of the resulting cross section? Explain your answer. (5 points)
Answer:
See belowStep-by-step explanation:
Part AThe base is a rectangle hence the parallel cut produces the same shape.Part BThe cut diagonal to base will produce rectangle as the cross section still contains two pairs of parallel linesCan anyone help please
Answer: Money is the reason we exist.
Step-by-step explanation:
complete the table of values when x+2y equals 7
Answer:
x=7-2y
Step-by-step explanation:
ring-ring. *pick up phone* Hello, Einstein? I be needing some help.
Thank you.
Answer:
The one that you pick is correct
Tiana is 25 years old. She lives with a roommate and a dog. She has worked at a fancy restaurant for 6 months. She works 40 hours per week and makes $2.13 per hour. She usually serves 45 tables per week. The average bill at the restaurant is $130 per table, and she typically receives a 20% tip. How much does she make in a typical week?
Answer:
$1,255.5 dollars per week
Step-by-step explanation:
40Hr * $2.13 = $85.2 per week from hours alone
$130 * 0.20 = $26 tip per table
$26 * 45 tables = $1,170 in tips
$85.2 + $1,170 = $1,255.2 per typical week
I need help...............
Answer:
2 (a) d=3
(b) e= 21
(c) f= 4
3.(A) 3cm
This is your answer
Patricia went to lunch with friends. She ordered soup and a salad for $11.75. The tax was 5.8%. What was the total amount Patricia paid for her lunch? Enter your answer in the box.
Answer:
12.43
Step-by-step explanation:
Hi There Answer 12.43
Step-by-step explanation: