Identify the vertex and axis of symmetry of the graph of g(x) = |x|- 8
Answers
im not sure about axis of symmetry but i don’t think it has one
The vertex of the absolute function g(x) = |x|- 8 lies at (0,-8).
What is an absolute function?The absolute value or modulus of a real number x, denoted by |x|, is its non-negative value regardless of its sign.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the absolute function is g(x) = |x| - 8. The vertex will be calculated by plotting the function on the graph.
From the graph, the vertex of the absolute function lies at the point ( 0,-8). The graph is attached with the answer below.
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Related Questions
1. Use the number line to help you decide which statement is true.
Answers
Answer:
2/5 < 1/2
Step-by-step explanation:
First, find the LCM for both denominators because you can't multiply 2 to get to 5. The LCM of 5 and 2 are 10, so you put that as their denominator. Then you have to think what you multiplied by 5 or 2 to get 10. For 2/5, you multiplied 5 by 2 to get 10, so multiply the numerator by 2 too. For 1/2, you multiplied 2 by 5 to get 10, so multiply the numerator by 5. Now, you will have 4/10 and 5/10. It's pretty obvious that 5/10 is bigger than 4/10, so the correct answer is 2/5 < 1/2
cos4A+sin4A-2cos2Asin2A=(2cos2A-1)2 prove it.
Answers
cos4A-sin4A=2cos2A-1
proved below.
Step-by-step explanation:
Given:
cos^4A-sin^4A=2cos^2A-1
LHS=cos^4A-sin^4A
=[cos^2A]^2-[sin^2A]^2
=[cos^2A+sin^2A][cos^2A-sin^2A]
=[1][cos^2A-(1-cos^2A)] [ cos^2A+sin^2A=1]
=[cos^2A-1+cos^2A]
=2cos^2A-1
=RHS.
how many cubes with a .25 inch side length will fit in a rectangular prism with a volume of 35.62
Answers
Answer:
142.48
Step-by-step explanation:
this i think is the answer
B.e b.i.g b.r.a.i.n a.t a.l.l t.i.m.e!
(Be big brain at all time!)
Answers
B I G B R A I N :-))
If you answer correctly I will give you brainlest 5 stars and a thank you
A baseball field has four bases that form the shape of a quadrilateral. If someone invented a
new game similar to baseball that had four extra bases in the field, what type of polygon would
the bases form?
Apentagon
Boctagon
Chexagon
Ddecagon
Answers
4 bases plus 4 more makes 8, an octagon has 8 sides.
kayden mixed two solutions together which causes a chemical reaction and the solution becomes warm. which statement best describes what has happened
A. energy has been transformed from one form to another
B. energy has been created, where it did not exist before
C. the chemicals energy of the solution had been described
D. more energy has been created than has been destroyed
Answers
According to law of conservation of energy, the statement which best describes what has happened is that energy has been transformed from one form to another.
What is law of conservation of energy?According to law of conservation of energy, it is evident that energy is neither created nor destroyed rather it is restored at the end of a chemical reaction .
Law of conservation of mass and energy are related as mass and energy are directly proportional which is indicated by the equation E=mc².Concept of conservation of mass is widely used in field of chemistry, fluid dynamics.
Law needs to be modified in accordance with laws of quantum mechanics under the principle of mass and energy equivalence.This law was proposed by Julius Robert Mayer in the year 1812.
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Factor ab + bc+ b² + ac.
A. (a + b)(b + c)
B. (a + c)(b + c)
C. b(a + b)(b + c)
Answers
Answer:
A. (a + b)(b + c)
Step-by-step explanation:
b( a + b ) + bc + ac
b( a + b ) + c ( b + a )
= (a + b)(b + c)
hope it helps!
Answer:
A
Step-by-step explanation:
a(b+c)+bc+bb
a(b+c)+b(c+b)
(b+c)(a+b)
-4(x+6)+2(x-2) please help!
Answers
Answer:
−2x−28
Step-by-step explanation:
Distribute:
=(−4)(x)+(−4)(6)+(2)(x)+(2)(−2)
=−4x+−24+2x+−4
Combine Like Terms:
=−4x+−24+2x+−4
=(−4x+2x)+(−24+−4)
= −2x - 28
I need help ASAP THIS IT TIMED!!
Answers
Answer:
yeah its probably done well
Step-by-step explanation:
A square has an area of 64 square units. If its sides were only half as long, what would its area be?
Answers
Answer:
16
Step-by-step explanation:
the sides now are 8x8
1/2 of that is 4x4 and 4x4=16
Cement costs $76 per cubic yard. What is the cost of cement for a sidewalk that is 4 in. Thick, 3ft wide,and 40 ft. Long?
Answers
Answer:
112.46 yd³
Step-by-step explanation:
1 inch = 0.0278 yds
1 feet = 0.333 yd
Thickness = 4 inches = (4 * 0.0278) = 0.1112 yds
Width = 3 feets = (3 * 0.333) = 0.999 yds
Length = 40 feets = (40 * 0.333) = 13.32 yds
Volume of sidewalk :
Thickness * Width * Length
0.1112 * 0.999 * 13.32 = 1.479702816 yd³
1 yd³ of cement = $76
Cost :
1.479702816 yd³ * $76
= 112.457414016
= 112.46 yd³
Antwan drew the circle graph below
describing his time spent at school in 1
day. His teacher said that the number of
hours listed were correct, but that the
central angle measures for the sectors
were not correct. What should be the
central angle measure for the Core
subject sector?
A. 72°
B. 80°
C. 160°
D. 200°
E. 288°
Answers
What is the circumference of a circle with a radius of 3 inches? Use 3.14 for Tr.
A. 9.42 cm
B. 18.84 cm
C. 113.04 cm
D. 28.26 cm
Answers
The formula for circumference of a circle is 2 times pi times radius
I NEED HELP ASAP!!!!!!!!
Answers
Step-by-step explanation:
[tex]slope = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} \\ = \frac{ - 7 - 13}{5 - ( - 3)} \\ = \frac{ - 20}{8} \\ = \frac{ - 2 \times 10}{2 \times 4} \\ = \frac{ - 10}{4} \\ = \frac{ - 2 \times 5}{ 2 \times 2} = \frac{5}{2} [/tex]
A high school sponsored a badminton tournament. After each round, one-half of the players were eliminated. If there were 64 players at the start of the tournament, which equation models the number of players left after round 3?
(1) y=64(1-.5)^3
(2) y=64(1+.5)^3
(3) y=64(1-.3)^.5
(4) y=64(1+.3)^.5
Answers
Answer:
(1) y = 64(1 - .5)^3
Step-by-step explanation:
(1) y = 64(1 - .5)^3
If you are eliminated half, then you are removing 50% or .5 of the teams. The number of teams is getting smaller, so eliminate the choices with "+". The exponent refers to the number of rounds.
This is an easy one to check: 64, 32, 16, 8. There are 8 teams after three rounds.
y=64(1 - .5)^3
y= 64(.5)^3
y= 64(.125)
y= 8
plz help just look at the picture
Answers
Answer:
120
Step-by-step explanation:
Answer:
the answer is C) 120
Step-by-step explanation:
solve the equation
[tex]6 - 2x = 3x[/tex]
Answers
Work:
6-2x=3x
-2x=3x-6
-5x=-6
x=6/5
That’s all simplified step by step, hope this helped
Please help me!! There is 2 answer!!
Answers
You are correct!!
someone help me pls 10 points
Answers
Answer:
x=-5
Step-by-step explanation:
You have 0.2 liter of an acid solution whose acid concentration is 16 moles per liter. You want to dilute the solution with water so that its acid concentration is only 12 moles per liter. Use the given model todetermine howmany liters of water you should add to the solution.
Answers
Answer: 0.067 litres of water
Step-by-step explanation:
The mode is:
Concentration of new solution = Moles of acid in original solution / (Volume of original solution + Volume of water added)
Assume volume of water added is w.
12 = 16 (0.2) / (0.2 + w)
(0.2 + w) * 12 = 3.2
0.2 + w = 3.2 / 12
w = (3.2 / 12) - 0.2
w = 0.067 litres of water
The amount of water you should add to the solution is 0.067 liters.
Given
You have 0.2 liters of an acid solution whose acid concentration is 16 moles per liter.
You want to dilute the solution with water so that its acid concentration is only 12 moles per liter.
The concentration of new solution;You can also use the solution dilution calculator in order to calculate the concentration of ions in a diluted solution.
The amount of water you should add to the solution is given;
[tex]\rm Concentration \ of \ new \ solution =\dfrac{\text{Moles of acid in original solution } }{\text{Volume of original solution + Volume of water added}}\\\\12=\dfrac{16(0.2)}{0.2+w}\\\\12 (0.2+w)=16(0.2)\\\\2.4 +12w=3.2\\\\12w=3.2-2.4\\\\12w=0.8\\\\w=\dfrac{0.8}{12}\\\\w=0.067[/tex]
Hence, the amount of water you should add to the solution is 0.067 liters.
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A culture started with 2,000 bacteria. After 2
hours, it grew to 2,400 bacteria. Predict how
many bacteria will be present after 10 hours.
Round your answer to the nearest whole
number.
P= Aekt
Answers
Answer:
14,000
Step-by-step explanation:
if wrong i'm sorry
Sarah’s parents purchased a refrigerator for $320. If sales tax is 7% of the cost, how much tax did Sarah’s parents pay for the refrigerator
Answers
Answer:
22.4
Step-by-step explanation:
7% of the cost is 22.4
Answer:
$22.40
Step-by-step explanation:
Let's convert the 7% sales tax into a decimal, which should be 0.07Multiply the sales tax (as a decimal) by the cost of the refrigerator ($320). You should get $22.40Edit: Read something wrong, I fixed it, sorry.
Please help me I am struggling I’m only in 6th grade doing harder math
Answers
Answer:
-7a+11
Step-by-step explanation:
The length of a driveway is 18 yards what is it in feet?
Answers
Answer:
Step-by-step explanation:
18yd(3ft/yd)=54ft
Answer:
Hello! :) have a good day!
54 feet
can someone help pls 10 points
Answers
Answer:
A. 4x - 6 = -3x + 5
Step-by-step explanation:
you just have to take the first equation and substitute that in, in the second equation.
hope that helps. have a good day!
is there anyone who can help with this????
Answers
Answer:
C equals 48
Step-by-step explanation:
You add the two angles you have and take that answer and subtract it from 180 and that is the missing angle measure
Find the median of the data set represented in the following stem-and-leaf plot.
62
63
64
67
Answers
Answer:
67
Step-by-step explanation:
I NEED HELP ASAP PLEASE
Answers
Answer:
1679616
Step-by-step explanation:
6*6
36*36*36*36
Answer:
[tex]6^{8}[/tex]
Step-by-step explanation:
[tex](6^{2})^{4} = 6^{2*4} = 6^{8}[/tex]
I think I have the answer but, I really need help with the steps!
Answers
Answer:
simplify to:
6-32768/-60
simplify more
-32762/-60
take away the negatives
32762/60
simplify the fraction
16381/30
keep going till you get the answer
Write each fraction as an expression using a negative exponent other than -1. 3. 1 ___________ 4 24. 1 ___________ 100
Answers
Answer:
[tex]\frac{1}{4} = 2^{-2}[/tex]
[tex]\frac{1}{100} = 10^{-2}[/tex]
Step-by-step explanation:
The question is poorly formatted. However, I am able to get:
1. 1/4 and 2. 1/100
Required
Write as an expression of negative expression
1. 1/4.
Express 4 as 2^2
[tex]\frac{1}{4} = \frac{1}{2^2}[/tex]
Apply
law of indices [tex](\frac{1}{a^b} = a^{-b})[/tex]
[tex]\frac{1}{4} = 2^{-2}[/tex]
2. 1/100.
Express 100 as 4^2
[tex]\frac{1}{100} = \frac{1}{10^2}[/tex]
Apply law of indices [tex](\frac{1}{a^b} = a^{-b})[/tex]
[tex]\frac{1}{100} = 10^{-2}[/tex]