Answer:
[tex]\large\boxed{\mathtt{x=-1}}[/tex]
Step-by-step explanation:
[tex]\textsf{For this problem, we are asked to solve the equation for x.}[/tex]
[tex]\textsf{Note that there are lines in between both expressions, this is asking for the \underline{Absolute Value}.}[/tex]
[tex]\large\underline{\textsf{What is Absolute Value?}}[/tex]
[tex]\textsf{Absolute Value is exactly how it sounds like, it's the real value of a term.}[/tex]
[tex]\textsf{Absolute Value turns negative numbers into positive numbers.}[/tex]
[tex]\textsf{*A Negative Value isn't really the real value of a number. A Positive Value is.}[/tex]
[tex]\underline{\textsf{Example;}}[/tex]
[tex]\tt {Change \ from \ Negative \ to \ Positive.} \atop \boxed{{|-5| \rightarrow 5.}}[/tex]
[tex]\large\underline{\textsf{Keep the Absolute Values!}}[/tex]
[tex]\textsf{We shouldn't try to find the absolute value of the expressions first.}[/tex]
[tex]\textsf{Instead, identify 2 possible equations using Absolute Value.}[/tex]
[tex]\textsf{There could be 2 possible solutions for x.}[/tex]
[tex]\tt x-2=4+x[/tex]
[tex]\underline{\textsf{Or;}}[/tex]
[tex]\tt x-2=-(4+x)[/tex]
[tex]\large\underline{\textsf{Solve the First equation;}}[/tex]
[tex]\tt x-2=4+x[/tex]
[tex]\underline{\textsf{Add 2 to both sides of the equation;}}[/tex]
[tex]\tt x=6+x[/tex]
[tex]\textsf{There is \underline{no} solution for this equation. We should look at the second equation.}[/tex]
[tex]\large\underline{\textsf{Solve the Second equation;}}[/tex]
[tex]\tt x-2=-4-x[/tex]
[tex]\underline{\textsf{Add 4 to both sides of the equation;}}[/tex]
[tex]\tt x=-x-2[/tex]
[tex]\underline{\textsf{Add x to both sides of the equation;}}[/tex]
[tex]\tt 2x=-2[/tex]
[tex]\underline{\textsf{Divide each side by 2;}}[/tex]
[tex]\large\boxed{\mathtt{x=-1}}[/tex]
[tex]\textsf{Using Absolute Value, x = -1.}[/tex]
a pack of 4 chocolate cost £1.20 what is the price per unit?
Which parent functions have a range of (-infinity , infinity) select all that apply
A. a parent even-degree power function
B. a parent odd-degree power function
C. a parent even-degree root function
D. a parent odd-degree root function
E. a parent exponential function with a base greater than 1
F. a parent exponential function with a base between 0 and 1
G. a parent logarithmic function with a base greater than 1
H. a parent logarithmic function with a base between 0 and 1
Answer:b,d,g,h
Step-by-step explanation:
A function assigns the value of each element of one set to the other specific element of another set. The correct option is B, D, G, and H.
What are the domain and range of a function?A function assigns the value of each element of one set to the other specific element of another set.
The domain is the set of values for which the given function is defined.The range is the set of all values which the given function can output.From the given functions the function that has a range of (-∞, ∞) can be found by plotting the graph. Therefore, the parent function that has a range of (-∞, ∞) are:
B. a parent odd-degree power function
D. a parent odd-degree root function
G. a parent logarithmic function with a base greater than 1
H. a parent logarithmic function with a base between 0 and 1
Hence, the correct option is B, D, G, and H.
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Assume a tax rate of 6.2% on $128,400 for Social Security and 1.45% for Medicare. No one will reach the maximum for FICA. Complete the following payroll register. (Use the percentage method to calculate FIT for this weekly period
Marital status - m
Allowance claimed – 4
Gross pay - $,2800
FIT
Social Security
Medicare
Net pay
Answer:
FIT: $340.76 (see comment)OASDI: $173.60Medicare: $40.60Net Pay: $2245.04Step-by-step explanation:
In addition to the information given in the problem statement, we need to know the applicable tax rates and allowance deductions. If we assume the tables we found (attachments 1 and 2) are the same as those in your text, the one additional fact needed is the gross pay to date. At the given wage rate, paychecks after the 44th week will have reduced FICA tax deductions.
Allowances: 4 × $79.80 = $319.20
Adjusted gross pay for FIT: $2800 -319.20 ≈ $2481 (rounded to nearest $)*
FIT: 0.22 × (2481 -1711) +171.36 = 0.22×2481 -205.06 = 340.76
Social Security & Medicare: 0.0765 × 2800 = 214.20
Net pay = $2800 -340.76 -214.20 = $2245.04
_____
* Comment on rounding
The IRS gives the option of rounding the pay or the tax, as long as it is consistently done. Here, the amount of tax on the unrounded gross pay would be 4 cents less: 340.72. The option of reducing the last digit of pay to zero is also offered. FIT on 2480 would be 340.54.
Write 173,200 in scientific notation.
Answer:
1.73 * 10^5
Step-by-step explanation:
Select two fractions equivalent to 3/5
Answer:
6/10
And 9/15
Step-by-step explanation:
Factor X^2 + 7x + 12
Answer:
(x + 3)(x + 4)
Step-by-step explanation:
(x + 3)(x + 4)
x^2 + 3x + 4x + 12
x^2 + 7x +12
Answer:
(x +3) (x+4)
Step-by-step explanation:
I took the test with this question, I hope this helps!
A conjecture and the paragraph proof used to prove the conjecture are shown. 100 points please help
Answer:we USED
Step-by-step explanation:
please make me brainliest
Answer:
1- angle congruence postulate
2- definition of complementary
3- m<3
4- <3
Evaluate 4
M-n if m= -7 and n = 2.
Answer:
-9
Step-by-step explanation:
what is the estimated song of 231 + 529
Answer:
760.
Step-by-step explanation:
31 + 29 = 60
2+5 = 7.
Which of the following is the solution for the inequality below? 3 x - 4 -5 x > -5
Step-by-step explanation:
Good luck with that ... sparkles
Carmelita used the multiplication table below to write ratios that are equivalent to StartFraction 3 Over 7 EndFraction. A multiplication table. In the row labeled 3, the numbers 3, 6, 9, 12, 15, 18, 21, 23, and 27 are highlighted. In the row labeled 7, the numbers 7, 14, 21, 28, 35, 42, 49, 56, and 63 are highlighted. One number is missing from the equivalent ratio, as shown. StartFraction 21 Over Blank EndFraction What is the missing number? 7 9 24 49
Answer:
The answer is 49.! :)
Step-by-step explanation:
If you look at the table, it shows 3;7. If you look at the 21 in the 2 row, and look under it in the other orange row its 49. So the answer would be 49! :)
Answer:
49
Step-by-step explanation:
what is 1232 dived by 77 ? please show work
Answer:
16 is ur answer
Step-by-step explanation:
1. open calculator
2. write 1232/77
3. get 16
gabrielle found a recipe that uses 5/6 cups of milk. If she only wanted to make half of the recipe how many cups of milk should she use
PLEASE HELP
ILL GIVE BRAINLIEST
Answer:
4x times 5 k
Step-by-step explanation:
explain the polar form in mathematical terms ....... right answer will be mark as brainliest
...................................
evaluate the square root of x^16
Answer: its going to be x^4
What is -5/8 + 3/4 I cannot seem to figure it out correctly thanks!
Step-by-step explanation:
-5/8 + 3/4
= -5/8 + 6/8
=1/8
Find the mean
-21,-34,-37,-52,-56
Help me please this is due in 5 minutes
3) For the ordered pairs given in the table, is the relation a function?
X
0,1,2,1 Y4,2,6,5
Answer:
Relation
Step-by-step explanation:
The domains, 0,1,2,1 repeat! (the 1's repeat twice:)
No it is not a function.
In the x-values there are two ones. Therefore it cannot be a function.
Find the 8th term of the geometric sequence 4, -12, 36, ...
Answer:
-8748
Step-by-step explanation:
Each number you are multiplying by -3
Please help with the question, and if you can please explain how you got the answer. Thank you.
9514 1404 393
Answer:
C. p ∨ q
Step-by-step explanation:
The compound statement is of the form ...
p or q
where ...
p = Memorial day is in July
q = parallel lines intersect
The symbol ∨ is used to represent the disjunction (or).
The symbolic form of the given statement is ...
p ∨ q
__
As it happens, both p and q are false, which means the disjunction is false. That has no bearing on the symbolic representation of it.
_____
∧ represents conjunction (and).
A nursery has $60,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood tree is 29% and the profit on a red maple tree is 17%. The profit for the entire stock is 20%. How much was invested in each type of tree?
Answer:
27g
Step-by-step explanation:
Ghjc
The invested amount dogwood tree is $15000 and on maple tree is $45000 as per linear equation.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. When this equation is graphed, it always results in a straight line."
Given, total invested amount is $60000.
Let, invested amount for dogwood trees is $x.
Therefore, invested amount for maple trees is ($60000 - x).
Now, the profit on a dogwood tree is 29% = 0.29.
The profit on a red maple tree is 17% = 0.17.
Again, the profit for the entire stock is 20%. = 0.20.
Therefore,
(x + x × 0.29) + [(60000 - x) + (60000 - x) × 0.17 = 60000 + 60000 × 0.20
⇒ 1.29x + 60000 - x + 10200 - 0.17x = 72000
⇒ 0.12x = 72000 - 60000 - 10200
⇒ 0.12 x = 1800
⇒ x = 15000
Therefore, invested amount on dogwood tree is $15000.
Similarly, invested amount on maple tree is $(60000 - 15000) = $ 45000.
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Find the quotient.
5,400 / 90
Answer:
5,400 ÷ 90 = 60
Step-by-step explanation:
hope it helps!
How do you convert pizza into math?
What’s the answer to this
I need help please i will give brainliest
Answer:
5 packages
Step-by-step explanation:
each would have five if they made 5 sandwhiches
Answer:
5
Step-by-step explanation:
Divide each number until the remainder is one
Multiply the numbers used to divide which is 2 6 and 5 to get the LCM which is 60
Edit:
60 eggs /12 =5
60 muffins/10 =5
Bought 16 packs of cola each pack had 6 cans he drank 9 cans how many are left?
Answer:
87
the pack is 16 and there are 6 cans in the pack and he drank nine
16*6-9
What is the length of AB?
A. 2
B. 6
C. 8
D. 4
Answer:
maybe ; the length of ab is 6
Mrs. Lodge is having new floor tiles installed in her kitchen. She is paying the flooring company $170.25 for the tiles and an installation fee of $3.78 per square foot. She receives a total bill of $586.05 for the job. Which equation could be used to find the number of square feet (x) of tile Mrs. Lodge is having installed?
Find the surface area of a rectangle and square units
Answer:
considering you didn't put anything to solve, I can't, but I will explain how
Step-by-step explanation:
basically, you multiple length x width. Considering you said surface area, which is normally used for prisms, you would find the are of the different rectangles and then add them all together if you were to do a rectangular prism.