What is the domain of the absolute value function below?
-2-
1 2 3 4 5 6 7 8 x
O XS-4
0 x 22
0 (-09-4)
Remember
Domain is set of x valuesRange is set of y valuesHere
there is no starting or ending point
so domain is
(-oo,oo)
The domain of the absolute value function given is (-∞, +∞).
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Domain of a function is the set of all the input values and the range of the function is the set of all the output values.
Given is an absolute value function.
Absolute value functions are functions which has the absolute value symbols in the expression.
From the graph, we can see that the value of x moves from negative infinity to infinity.
Domain of the function is the set of input values which is the set of values of x.
So the domain is (-∞, +∞).
Hence the domain is (-∞, +∞).
Learn more about Absolute Value Function here :
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7. John worked 32 hours last week and 28 hours this week. If he gets paid
$10.50/hour, what was his gross pay for the two weeks? *
Answer:
$630
Step-by-step explanation:
week 1 : $336
week 2 : $294
gross pay : $630
I had $36. I spent 1/2 of my money on Thursday and 2/3 of the remainder on Wednesday. How much money did I have left?
Where are you genius people? I know you hella smart
Answer:
$12
Step-by-step explanation:
Half of $36 would be $18. $18 divided by 3 would be $6. $6 times 2 would be $12. Half comes from the 1/2 of money spent on Thursday. Dividing it by 3 comes from the remainder on Wednesday. We divide it by 3 since the denominator of 2/3 is 3. We then multiply it by 2, since the numerator in 2/3 is 2.
I need help with this asap please
Answer:
A
Step-by-step explanation:
Total amount of faces of object = 6
Surface area = length x height
2(4*10) + 2(10*17) + 2(4*17)
=2(40) + 2(170) + 2(68)
= 80 + 340 + 136
= 556cm^2
Lines s and t intersect so that the measure of ∠1 is 85 °. If ∠2 is a supplement to ∠1, what is the measure of ∠2?
Answer:
95 degrees
Step-by-step explanation:
solve for x rounding to nearest tenth
will give brainlist, pls help lol
Answer:
D, 144
Step-by-step explanation:
Find x first by solving 9x+27=6x+66, and plug x in to the angle RSL.
Given AE and BD bisect each other at point c, which congruence theorem would you use to prove triangle ABC =~ triangle EDC ?
Create an equivalent expression. Use^ to notate an exponent. Do not use parentheses.
(2x^3)^4
Sample Answer:
2x^12
Step-by-step explanation:
So whenever an exponent is to an exponent, simply multiply the exponents together:
(2x^3)^4 --> 2x^12
This simplified form of the question is a new, equivalent expression.
HELP! THIS IS DUE TODAY, and i will mark brainlest!
Answer:
c
Step-by-step explanation:
An input can only have one output.
Solve for x in the following proportion?
1.6
722.5
0.4
10
Answer:
option D. 10
Step-by-step explanation:
[tex]\frac{34}{85} = \frac{4}{x}\\\\34 \times x = 4 \times 85\\\\x = \frac{340}{34} = 10[/tex]
Answer:
x = 10
Step-by-step explanation:
[tex] \dfrac{34}{85} = \dfrac{4}{x} [/tex]
Cross multiply.
34x = 4 × 85
34x = 340
Divide both sides by 34.
x = 10
Use the equation 135 x 42 = 5.670 and what you know about fractions, decimals, and place value to explain how to place the decimal point when you compute 1.35 x 4.2
Answer:
5.670
Step-by-step explanation:
To compute 1.35 x 4.2
First, we need to convert both decimals to fraction
1.35 = 135/100
4.2 = 42/10
Taking the product
1.35 x 4.2
= 135/100 * 42/10
= (135*42)/(100*10)
= 5670/1000
= 5.670
Hence the product of both numbers is 5.670
Find the exact value of the following trig ratio given the triangle.
Answer:
9
Step-by-step explanation:
solve the equation x - 4 = -3 help yall-
Answer:
x = 1
Step-by-step explanation:
x - 4 = -3
(add 4 to both sides)
x - 4 + 4 = -3 + 4
x = 1
Answer:
x = 1
Step-by-step explanation:
So you have to separate the x from the rest of the equation
so you can add 4 to both sides so x is by itself
so ur left with:
x = -3 + 4
and that is equal to x = 1
Hope that helps :)
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 41 months and a standard deviation of 5 months. Using the empirical rule (as presented in class), what is the approximate percentage of cars that remain in service between 46 and 51 months
Answer:
15.85%
Step-by-step explanation:
Empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviation and 99.7% falls within three standard deviation.
Given mean (μ) = 41 months, standard deviation (σ) = 5 months
One standard deviation = μ ± σ = 41 ± 5 = (36, 46)
Therefore 68% falls within 36 months and 41 months
Two standard deviation = μ ± 2σ = 41 ± 2(5) = (31,51)
Therefore 95% falls within 31 months and 51 months
Three standard deviation = μ ± 3σ = 41 ± 3(5) = (26, 56)
Therefore 99.7% falls within 26 months and 56 months
The percentage of cars that remain in service between 46 and 51 months = 32%/2 - 0.3%/2 = 16% - 0.15% = 15.85%
help me with this the question is in the picture
Answer:
28:12
Step-by-step explanation:
You multiply both sides by the same number to increase a ratio, the only one you can do this with is 28:12 by multiplying the original ratio by 4
Two sides of a right triangle have lengths of 2 centimeters and 5 centimeters. The third side is NOT the hypotenuse. How long is the third side?
Answer:
About 1.625
Step-by-step explanation:
I believe it is 1.625
( 2^2 + b^2 = 5^2 )
Theodore deposited $2400 into a savings account for which interest is compounded monthly at a rate of 2.8%. How much interest will he earn after 10 years? *
$58.51
$678.59
$2478.59
$7679.48
How much material is needed to make the Nón Lá Vietnamese leaf hat? Round to the nearest tenth.
The surface area is
in.²
9514 1404 393
Answer:
408.4 in²
Step-by-step explanation:
The lateral area of a cone is ...
LA = 1/2πds . . . . . . . where d is the diameter and s is the slant height
Using the given dimensions, the area of the hat is ...
LA = 1/2π(20 in)(13 in) = 130π in² ≈ 408.4 in²
The surface area is about 408.4 in².
-2x + 4 = 3
how would you solve this problem?
HELP PLEASEIWJDO!NWDIOJQWILD
Answer:
5.66
Step-by-step explanation:
(-1,-3) (-5,1)
√(x2 - x1)² + (y2 - y1)²
√[-5 - (-1)]² + [1 - (-3)]²
√(-4)² + (4)²
√(16) + (16)
√32
= 5.66
Yolanda receives a $1,000 dollar raise each year from her starting salary of $40,800.
After 10 years, how much total gross income will she have earned for all 10 years?
For example: $40.800 in year one, $41,800 in year two etc.
helppp
Answer:50,400
Step-by-step explanation:
Perform the operation.
(4x^2+9x-7)-(-7x^2+5x-1)
[tex](4 {x}^{2} + 9x - 7) - ( - 7 {x}^{2} + 5x - 1) \\ = (11 {x}^{2} + 4x - 6)[/tex]
Answer:
11x^2+4x-6
Step-by-step explanation:
[tex]4x^2+9x-7+7x^2-5x+1\\\\simplify: 11x^2+4x-6[/tex]
Perimetrul unui dreptunghi este de 400 m, iar latimea este de 3 ori mai mica decat lungimea acestuia. Cati metri are lungimea dreptunghiului?
Răspuns:
150 m
Explicație pas cu pas:
Reamintim:
Perimetrul unui dreptunghi, P
P = 2 (lungime + lățime)
P = 400
Lățime = x
Lungime = 3x
Astfel, avem:
400 = 2 (3x + x)
400 = 2 (4x)
400 = 8x
Împărțiți ambele părți la 8
50 = x
Lungime = 3x
Lungime = 3 * 50
Lungime = 150 m
What is the distance between the points (2,4) and (9,9)?
Answer:
I think it is (7,5)
Step-by-step explanation:
When 3 is subtracted from one third of a number n, the result is less than 6. Which inequality and solution represent this situation?
Answer:
1/3n-3÷6
Step-by-step explanation:
3 is subtraced form 1/3
Answer:
n < 27
Step-by-step explanation:
1/3n - 3
1/3n - 3 < 6
Add 3 to each side.
1/3n - 3 + 3 < 6 + 3
Combine like terms.
1/3n < 9
Divide each side by 1/3.
1/3n ÷ 1/3 < 9 ÷ 1/3
Combine like terms.
n < 27
Select the values that make the inequality n > -8 true.
(Numbers written in order from least to greatest going across.)
Answer:
9
Step-by-step explanation:
I'm somewhat confused I think you're forgot to put so more information
The value that makes the inequality n > -8 true will be -2. Thus, the correct option is A.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below:
n > -8
The value of n is greater than -9. Then the value that makes the inequality n > -8 true will be -2.
Thus, the correct option is A.
More about the inequality link is given below.
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The missing options are given below.
a) - 2
b) - 9
c) - 10
d) - 20
Pls help me with this
Answer:
102 degrees
Step-by-step explanation:
Since the total of all the angles inside a triangle must be 180 degrees, we can find out the value of x using a simple equation.
41+37+x = 180
78 + x + 180
x = 102
solve the inequality t/4 > 7
Answer:
t > 28
Step-by-step explanation:
Given
> 7 ( multiply both sides by 4 to clear the fraction )
t > 28
Answer:
[tex]t > 28[/tex]
Step-by-step explanation:
Multiply both sides of the inequality by 4:
[tex]4 \times \frac{t}{4} > 4 \times 7[/tex]
Reduce the number with the greatest common factor 4:
[tex]t > 4 \times 7[/tex]
Multiply the number:
[tex]t > 28[/tex]
Find v.
Write your answer in simplest radical form.
Answer:
3[tex]\sqrt{3}[/tex]
Step-by-step explanation:
in a 30-60-90 triangle, the side across from 60° is [tex]\sqrt{3}[/tex] multiplied by the side across from 30°
the side across from 90° (the hypotenuse) is double the side across from 30°