Answers
Answer: x = 4
Step-by-step explanation:
Here we have a piecewise function.
One piece works for values of x such that: -6 < x < 0
And the other piece works for values of x such that: 0 < x ≤ 4
Then the domain of this function is:
D = (-6, 0) U (0, 4]
Notice that, becuse we use the symbols ><, the values of x:
x = -6
x = 0
Do not belong to this domain.
While becuase we use the symbol ≤ in the right end, the value x = 4 does belong to the domain.
Then for the given options, the only value that belongs to the domain is the third option, x = 4.
Related Questions
Make a table of values for f(x) after the given translation 3 units up
Answers
Answer:
In this case, we do not have the table, so i will answer in a general way:
First, let's describe the transformation.
Vertical shift.
If we have a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
This will move the graph of f(x) up or down a distance of N units.
if N is positive, then the shift is upwards
if N is negative, then the shift is downwards.
Then a shift of 3 units up, is written as:
g(x) = f(x) + 3
This would be translated to the table in the next way:
You need to add 3 to all the values of y (or f(x)) in the table:
So if for example, the original table was:
x f(x)
0 5
1 7
2 10
3 15
The table of the transformation will be:
x g(x)
0 5 + 3 = 8
1 7 + 3 = 10
2 10 + 3 = 13
3 15 + 3 = 18
Please help i put max points for u!!
Marley used 7 cups of water to make 4 loaves of French bread. What equation can be used to model the total cups of water needed y for making x loaves of French bread? Write the equation in the forn y = kx. How many cups of water do you need for 6 loaves of French Bread? Express your answer as a fraction in simplest form.
Answers
Answer:
Equation: y = [tex]\frac{7}{4}[/tex] x
21/2 cups of water
Step-by-step explanation:
Plug in 7 as y and 4 as x
7 = 4k
Find k
k = 7/4
Then plug k into th equation
y = 7/4 x
For the second part of the question:
Plug in x which is 6 into the bolded equation.
y = (7/4)(6) = 42/4 = 21/2 (simplified form)
21/2 cups of water
1. Y=7/4x
2. 21/2 cups of water
Explanation:
1. 7/4 would be put in for K as the amount of loaves of bread will x.
2. Y = (7/4) (6) = 42/4 = 21/2
Simplified version of 1st answer for those who don’t like to read a lot.
James bought a new digital camera for $175.00. He pays a sale ax of 7.2%. What was the total of the camera
Answers
Answer:
187.6 i think
Step-by-step explanation:
Answer:
$187.60
Step-by-step explanation:
Find 7.2% of the price to figure out the sales tax:
7.2% * 175 / 100% = $12.60
Add the sales tax to the original price:
$12.60 + $175.00 = $187.60
Write the equation in exponential form.
Log3 1/9=-2
O 3=9-2
O 1/9=3^-2
O 9=3^2
O 3=3^1
Answers
Answer:
a
Step-by-step explanation:
Answer: The correct answer is B. 1/9=3^-2
Step-by-step explanation:
i need big help because this is due today
Answers
Answer:
Step-by-step explanation:
x | y
30 | 6
60 | 12
90 | 18
120 | 24
The school principal is designing a square courtyard outside of the school, separated into 4
equal spaces. She wants to know the total area of the courtyard.
what is the total area if each smaller space is 5 feet on each side
Answers
Answer:
Students will gain an appreciation for the study of mathematics. In ... (I.3.6) The area of the surface of a sphere is described by the formula
Step-by-step explanation:
Correct me if I'm wrong! :)
Answer:
Its 100
Step-by-step explanation:
I took the quiz and got it right
The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d
from the source of the sound.
A person 14 feet from a jetski, it is 85 decibels loud.
How loud is the jetski when the person is 41 feet away? (Round to 3 decimal places.)
dB
Answers
Answer:
L = 9.91 decibels.
Step-by-step explanation:
The loudness, L is inversely proportional to the square of the distance, d, from the source of the sound.
i.e L [tex]\alpha[/tex] [tex]\frac{1}{d^{2} }[/tex]
L = [tex]\frac{k}{d^{2} }[/tex]
Where k is the constant of proportionality.
When d = 14 feet and L = 85 dB, then;
k = L x [tex]d^{2}[/tex]
= 85 x [tex](14)^{2}[/tex]
= 16660
k = 16660
L = [tex]\frac{16660}{d^{2} }[/tex]
Thus, when d = 41 feet, then;
L = [tex]\frac{16660}{(41)^{2} }[/tex]
= [tex]\frac{16660}{1681}[/tex]
= 9.91077
L = 9.91 dB
The loudness is 9.91 decibels.
What is the value of x?
Answers
Answer:
the value of X is 10x
Step-by-step explanation:
2/5 divided by 1 7/8
Answers
0.21333333333
answer:
Answer:
0.213
Step-by-step explanation:
I used a calculator :)
Someone help me please
Answers
Please friend I do not know
Combine like terms to simplify: H + g + h + g - g
Answers
Answer:
2h + g
Step-by-step explanation:
you can buy 3 candy bars at the quick market for 2.17. how many candy bars can you buy with 17.36?
Answers
A school cafeteria has 30 boxes of Wheaty Squares cereal and 20 boxes of Mighty O's
cereal. Each box has the same number of ounces of cereal. Write an expression to
represent the total ounces of cereal. Then simplify it to create an equivalent expression.
Answers
Answer:
50e=t
Step-by-step explanation:
Wheaty Squares = w
Mighty O's = m
ounces in each box = e
total ounces of cereal = t
w+m=30+20=50
Which unit price is the highest?
turnips for $1.51 per pound
peppers for $1.62 per pound
carrots for $1.26 per pound
celery for $1.48 per pound
Please help me out!
Answers
Answer:peppers
Step-by-step explanation:
Answer:
peppers for $1.62 per pound
Step-by-step explanation:
i took the test
Answer the following question please
Answers
Answer:
∠MON = 98°
Step-by-step explanation:
It is given that ∠LON is a straight line.
∠MON = 3x+89
and
∠LOM = 8x+58
If LON is a straight line. It means,
∠MON + ∠LOM = 180 (Linear pair)
Putting values,
3x+89 + 8x+58 = 180
11x + 147 = 180
11x = 180-147
11x = 33
x = 3
So, ∠MON = 3(3)+89
= 9+89
= 98
Hence, the value of ∠MON is equal to 98°.
20 POINTS
The price of a car has been reduced from $24,000 to $14,880. What is the percentage decrease of the price of the car?
Answers
Decrease of price = $24,000 - $14,880
=> $9,120
Percentage decrease = 9120/24000×100
=> 38%
Write the ratio of height of the building to the number of floors. Then, find the unit rate, and explain what it means in this situation. Fill in the correct answers to complete the sentences.
The ratio of height of the building to the number of floors is nothing. The unit rate is nothing. This means that each floor of the building is nothing ft high.
Answers
Answer:
I love a building that's nothing feet high
Step-by-step explanation:
Can that building be my new home?
Arianna has $0.70 worth of nickels and dimes. She has 4 more dimes than nickels. By
following the steps below, determine the number of nickels, x, and the number of
dimes, y, that Arianna has.
Determine three ways to have 4 more dimes than nickels:
Who can solve this for me?
Answers
Answer:
x=2 and y=6
Step-by-step explanation:
thee isn't any other way im sorry but there isn't here is a list:
1 nickel = $0.05 and 5 dimes =$0.50 = $0.55
2 nickels = $0.10 and 6 dimes = $0.60 = $0.70
3 nickels = $0.15 and 7 dimes = $0.75 = $0.85
4 nickels = $0.20 and 8 dimes = $0.80 = $1.00
5 nickels equal $0.25 and 9 dimes equals $0.90 = $1.15
so as you can see the more you add the higher the number gets and if its any lower it won't be enough sorry if you really needed that last part
2.25 + 65.47 + 2.333
Answers
Answer:
The answer is 70.05300.
Tim flips a weighted coin 6 times and gets 2 tails. What is the experimental probability that the next flip will come up tails?
Answers
Answer:
1/3
Step-by-step explanation:
bc 2/6 reduces to 1/3
will give brainliest plz help me!
Answers
Answer:
II and III
Step-by-step explanation:
Decide which estimate is closer to the actual answer. Explain your reasoning as store bought 25lb of produce if store spent $110.90 about how much does the produce cost per pound in dollars? 0.04,0.4,4,40 (b) a 6 pack of juice boxes contains 54.6 oz of juice in total about how many ounces of juice does each juice box contain ? 0.9,9,90,900 (c) in 20 L of air there is about 0.42 L of carbon dioxide about how many liters of carbon dioxide are there in 1 L of air 0.02,0.2,2,20
Answers
Helpppppppp pleaseeeee
Answers
Answer:
B and C; 0.5 and 4.5
Which expression is equivalent to 4.4.4.4.4.4.4.4?
Answers
Answer:
your answer is D
Step-by-step explanation:
hope this helps
Please help!
Which equation has a constant of proportionality equal to 1?
Choose 1 answer:
A. Y= 10/11x
B. Y = 7/8x
C. Y= 3/15x
D. Y=x
Answers
Answer:
[tex]\huge\boxed{\sf D.}[/tex]
Step-by-step explanation:
If
Y is directly proportional to x
Then
Y ∝ x
Changing proportionality to equality
Y = k x
If k = 1 , then
Y = x
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
it's D
Step-by-step explanation:
Khan Academy
You go out to eat at the Outback Steakhouse. Your meal, drink and desert cost $38.56. You are
going to leave the waitress at 15% tip. How much money will you leave the waiter and what is
the total cost of the meal?
I
Answers
Answer:
44.34
Step-by-step explanation:
[tex]15 \div 100 \times 38.56 = [/tex]
[tex] = 5.78[/tex]
[tex]38.56 + 5.78 = 44.34[/tex]
Write the equation of a line in Point-Slope form that has a slope of -2/3 and
passes through the point (-1,3).
Answers
Answer:
The equation of a line in Point-Slope form is y -3=[tex]-\frac{2}{3}[/tex] *(x+1)
Step-by-step explanation:
Linear equations can take various forms, such as the point-slope formula. This formula gives the slope of a line and the coordinates of a point on it. The point-slope form of a linear equation is written as:
y - y1= m*(x-x1)
In this equation, m is the slope and (x1, y1) are the coordinates of the point.
In this case, you know that the line has a slope of [tex]-\frac{2}{3}[/tex] and passes through the point (-1,3). This is, m=[tex]-\frac{2}{3}[/tex] and (x1;y1)=(-1;3). Replacing:
y -3=[tex]-\frac{2}{3}[/tex] *(x-(-1))
This is:
y -3=[tex]-\frac{2}{3}[/tex] *(x+1)
The equation of a line in Point-Slope form is y -3=[tex]-\frac{2}{3}[/tex] *(x+1)
I need help I don’t understand number lines
Answers
Answer:
Well according to the number line shown, it is in the negative area and if you see this it is near -6.5, all you need to do is count the spots until it hits the circle which is -6.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
- 6.8.... just count the tenths marks.. 6.1,6.2,6.3... ect, ect
A and B are similar cuboids.
surface area of A: surface area of B = 25 : 36
Work out volume of A: volume of B
A 5:6
B 125 : 216
C 25 : 36
D 625 : 1296
Answers
Answer:
B. 125 : 216Step-by-step explanation:
Surface area of cuboid A with side a is:
6a²Same for cuboid B with side b:
6b²Ratio of surface areas:
6a² : 6b² = 25 : 36 ⇒a² : b² = 25 : 36 ⇒a : b = 5 : 6Volumes of A and B are:
a³ and b³And their ratio is:
a³ : b³ = 5³ : 6³ ⇒a³ : b³ = 125 : 216Correct option is B
Answer:
B. 125 : 216
Step-by-step explanation:
The graphs below have the same shape. What is the equation of the blue
graph?
f(x) = x²
g(x) = ?
A. g(x) = (x - 3)2 + 1
B. g(x) = (x + 3)2 + 1
C. g(x) = (x - 3)2 - 1
O D. g(x) = (x + 3)2 - 1
Answers
The correct answer is A. g(x)=(x-3)^2+1
The equation of the blue graph is g(x) = (x - 3)² + 1.
Option A is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Since the graphs of f(x) and g(x) intersect at (1.5, 2.5), we can substitute these values into the equations and solve for the constant term:
f(1.5) = g(1.5)
1.5² = g(1.5)
2.25 = g(1.5)
Therefore, we know that the vertex of g(x) is (1.5, 2.25).
Also, since the graphs have the same shape, we know that the vertex of g(x) is obtained by shifting the vertex of f(x) horizontally by the same amount, which is 3 units to the right.
So, the equation of the blue graph can be obtained by replacing x with (x-3) in the equation of the green graph:
g(x) = (x - 3)² + 1
Expanding this equation, we get:
g(x) = x² - 6x + 9 + 1
g(x) = x² - 6x + 10
g(x) = x² - 2 x 3x + 9 + 1
g(x) = (x - 3)² + 1
Therefore,
The equation of the blue graph is g(x) = (x - 3)² + 1.
Learn more about equations here:
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