The domain of the function f(x)=x+10 is (-∞, ∞) and for the function g(x)=x² is (-∞, ∞).
What is meant by domain?If a formula specifies a real function f, it may not be defined for some values of the variable. The natural domain or domain of definition of f is the set of real numbers on which the formula can be evaluated to a real number in this case. A partial function is often referred to just as a function, and its natural domain is referred to simply as its domain.
Given, f(x) = x + 10
g(x)=x²
The domain for the function f(x)=x + 10
So, the domain of f(x)=x+10 is (-∞, ∞)
The domain for the function g(x)=x²
The expression's domain is only real numbers, with the exception of places where it is undefined. Because there is no real number in this scenario, the expression is undefined.
So, the domain of the function g(x)=x² is (-∞, ∞)
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Find the x-intercept of the line 7x+7y= – 1.
Answer:
(-1/7 ; 0)
Step-by-step explanation:
the line intercepts the x axis when y = 0
7x + 0 = -1
7x = - 1
7/7 x = -1/7
x = -1/7
Answer:
The x intercept is -1/7
( -1/7 , 0)
Step-by-step explanation:
To find the x intercept, set y =0 and solve for x
7x+7y = -1
y =0
7x+7(0) = -1
7x +0 = -1
7x = -1
Divide by 7
7x/7 = -1/7
x = -1/7
The x intercept is -1/7
( -1/7 , 0)
HELP ME OUT HELP ME OUT
Answer:
r = 12
Step-by-step explanation:
Simplify the fraction to lowest terms, and enter your answer below as a
fraction, using the slash mark (/) as the fraction bar.
16
24
Answer:
[tex]\sf \dfrac{2}{3}[/tex]
Step-by-step explanation:
To simplify a fraction, divide the numerator and denominator by their greatest common factor (GCF).
List all the factors of 16 and 24:
Factors of 16: 1, 2, 4, 8, 16Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24Therefore, the greatest common factor is 8.
So to reduce 16/24 to its lowest terms, divide the numerator and denominator by 8:
[tex]\implies \sf \dfrac{16}{24}=\dfrac{16 \div 8}{24 \div 8}=\dfrac{2}{3}[/tex]
An exponential function () = ab passes through the points (0, 2000) and (3, 1458). What are the values
of a and b?
a = 2000 and b = 0.5
What are the characteristics of a density curve? Select all that apply.
A. The area under the curve always sums to 100%.
B. The area between any two points is always less than 0.25.
C. The percentage of values between any two points on the x-axis is
the area of the figure formed by the curve and the x-axis.
D. The curve always falls on or above the x-axis.
c
Step-by-step explanation:
Because is líke a graphbyou could draw on it but your are going to alway use x.
Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1
The area of the shaded region is ——?
Round to four decimal places as needed
The required area of the shaded region is 0.8339 in the given shown graph.
The area of the shaded region in a standard normal distribution represents the probability of a certain range of values occurring.
As per the question, the shaded region represents the area to the left of the value z = -0.97.
To find the area of the shaded region, we can use the standard normal distribution table, which gives the probability of a value occurring within a certain range of the mean.
In this case, we would look up the probability of a value less than or equal to -0.97 occurring.
According to the standard normal distribution table, the area to the left of z=-0.97 is 0.8339. This means that the shaded region has an area of 0.8339.
Therefore, the area of the shaded region would be 0.8339.
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c. Mr. Wilkins is laying bricks to make a
rectangular patio. The
area he is covering with bricks is 15 1/2 feet by 9 3/4 feet. What
is the area of the patio?
Answer:
151 1/8
Step-by-step explanation:
15 1/2: 31/2 9 3/4: 39/4
31/2 X 39/4= 1209/8
1209/8= 151 1/8
At the city park, 32% of the trees are oaks. If there are 400 trees in the park, how many trees are not oaks?
Answer:
272 trees are not oak.
Step-by-step explanation:
First, we need to convert 32% into a decimal by moving the decimal point to the left twice, to get 0.32. Then, we set up this equation:
0.32 x 400 = 128
Now, this is how many oak trees there are. It says to find how many trees are not oaks. So, we can do this by subtracting the total trees, which is 400 by 128:
400 - 128 = 272 trees.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 4 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Identify the inverse g(x) of the given relation f(x) f(x)=(8,1),(4,3),(0,-1),(-4,-3)
Answer:
Step-by-step explanation:
g(x) = {(3, 8), (1, 4), (-1, 0), (-3, -4)}
Birthday polynomial project 09/28/2004?
Ayana has $730 in an account. The interest rate is 3% compounded annually.
To the nearest cent, how much interest will she earn in 3 years?
Answer: $795.70.
Step-by-step explanation: To calculate the amount of interest that Ayana will earn in 3 years, we need to first determine the annual interest rate. If the interest rate is 3% compounded annually, then the annual interest rate is 0.03.
Next, we need to calculate the total amount of interest that Ayana will earn over the 3 year period. To do this, we can use the formula for compound interest: A = P(1 + r/n)^nt, where A is the total amount of interest earned, P is the principal (initial amount of money in the account), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
In this case, P = $730, r = 0.03, n = 1 (since the interest is compounded annually), and t = 3. Plugging these values into the formula, we get:
A = $730(1 + 0.03/1)^1*3 = $730(1.03)^3 = $730 * 1.09 = $795.70
Therefore, Ayana will earn $795.70 in total interest over the 3 year period. To the nearest cent, this is $795.70.
A house on the market was valued at $402,000. After several years, the value increased by 17%. By how much did the house’s value increase in dollars? What is the current value of the house?
The market value of house increased by $68,340 and the current value of the house is $470,340.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
The market value of house before several years =$402,000
Also, the value of house increased by 17%.
The rise in value of house = 402,000 x 17/100
= 68340
The value of house increased by $68,340.
The current value of house = 402,000 + 68340 = 470340
The current value of house is $470,340.
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A formula for 6 gallons of light green paint uses 3/8 gallon of white paint. Liam has 9/16 gallon of white paint. Does Liam have enough white paint to make 8 gallons of light green paint? If not, how much more does he need?
If Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint
What is word problem?A word problem in mathematics is a maths question written as one sentence or more that requires the application of mathematics knowledge to a 'real-life' scenario.
Given that 6 gallons of light green paint use 3/8 gallon of white paint, this can be expressed as:
3/8 gallons of white paint = 6 gallons of light green
We are to determine if 9/16 gallons will be enough to make 8 gallons of light green paint. This can be expressed as
9/16 gallons of white paint = x
Divide both expressions
3/8 x 16/9 = 6/x
2/3 = 6/x
By cross multiplying
2x = 3 x 6
2x = 18
x = 18/2
x = 9
This shows that if Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint
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Solve this multiplication promblem.Show your work! 72x139
Answer:
10008
Step-by-step explanation:
2^3 x 3^2 x 139 = 10008
The following table shows the number of times key club students at Peconic high school went to echo beach last summer.
Number of echo beach trips: 5,6,8,9,12,14
Frequency: 8,7,11,15,3,4
a. How many students are in the key club?
b. Find the mean, median, mode, range, variance, and standard deviation for the distribution. Round to the nearest tenth
a) The students in the key club are 48students.
b) The mean, median, mode, range, variance, and standard deviation for the distribution are 8.3, 8, 9, 9, 303.52, 17.4
What is meant by standard deviation?The standard deviation is a statistic that measures the amount of variation or dispersion in a set of numbers. A low standard deviation implies that the values are close to the mean of the set, whereas a large standard deviation shows that the values are spread out over a greater range.
Given,
The number of echo beach trips are 5,6,8,9,12,14.
And also given that the frequencies are 8,7,11,15,3,4
a) The students in the key club are,
∑[tex]F_{i}[/tex]=8+7+11+15+3+4
=48
∑[tex]F_{i}[/tex]=48
Therefore, the students in the key club are 48students.
b) Mean= ∑[tex]X_{i}[/tex][tex]F_{i}[/tex]/∑[tex]F_{i}[/tex]
=397/48
=8.27≈8.3
Therefore, Mean=8.3
Total number of observations=48
Here, it is an even number
[tex](48/2)^{th}[/tex] [tex]24^{th}[/tex]position and [tex]((48+2)/2)^{th}[/tex] or [tex]25^{th}[/tex] position
X 5 6 8 9 12 14
F 8 7 11 15 3 4
position 8 8+7=15 15+11=26 26+15=41 41+3=44 44+4=48
The value of X at [tex]24^{th}[/tex] position is 8 and [tex]25^{th}[/tex] position is also 8
Then, Median=(8+8)/2
=8
Therefore, Median=8.3
Mode= Highest frequency corresponding to X value
=9
Therefore, Mode=9
Range=Highest value-Lowest value
=14-5
=9
Therefore, Range=9
Variance=∑[tex]F_{i}[/tex]([tex]X_{i}[/tex]-[tex]\bar{X}[/tex])/∑[tex]F_{i}[/tex]
=8(5-8.3)²+7(6-8.3)²+11(8-8.3)²+15(9-8.3)²+3(12-8.3)²+4(14-8.3)²
=87.12+37.03+0.99+7.35+41.07+129.96
=303.52
Therefore, variance=303.52
Standard deviation=√variance
=√303.52
=17.4
Therefore, standard deviation=17.4
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please help me with d-f
d. The coordinates of the vertical intercept of the function are given as follows: (0,20), meaning that the initial height of the rocket is of 20 feet.
e. The practical domain of the function is of: [0, 9.506]
f. The practical range of the function is of: [0, 371.563].
What is the intercept of the function?The function is given as follows:
h(t) = -16t² + 150t + 20.
The intercept represents the initial height of the rocket, that is:
h(0).
Hence:
h(0) = -16(0)² + 150(0) + 20 = 20 feet.
Hence the coordinates are:
(0,20).
What are the domain and the range of the function?For the practical domain, we have that:
The rocket was launched at a time of 0 seconds.The rocket hit the ground at a time of 9.506 seconds.For the practical range, we have that:
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Maleka charges $8 per hour for babysitting. The amount of money she makes varies directly with the number of hours she babysits. Write a direct variation equation for the amount Maleka earns for babysitting hours. Then graph.
Answer:
[tex]y = 8x[/tex], where y = the total cost and x = amount of hours.
Algebra (Comparing Two Linear Functions)
The equation that represent each situation, in terms of x, is
A = 19 + 0.50xB = 13 + 1.50xThe number of monthly movies watched, x, that would make the two plans have an equal monthly cost is 6 movies.
How to write and solve equation?Let
Monthly cost of plan A = AMonthly cost of plan B = BNumber of monthly movies watched = xPlan A:
A = 19 + 0.50x
Plan B:
B = 13 + 1.50x
Equate A and B
19 + 0.50x = 13 + 1.50x
collect like terms
19 - 13 = 1.50x - 0.50x
6 = x
Hence,
x = 6 movies
In conclusion, the number of monthly movies watched to have an equal amount is 6 movies.
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During her most recent check-up, Estefania’s doctor told her that she is 150.2 centimeters tall. Her doctor also told her that has grown 8.7 centimeters taller since her previous visit. How tall, in centimeters, was Estefania during her previous visit?
the answer is 21
according to my calculations 9+10= 21
18 Tony wants to give his server a tip of 20%. He calculates that the tip is $8.50. What is the cost of Tony's meal excluding the tip?
Answer:
42
Step-by-step explanation:
8.50 x 20 and then divide by 100
I hope this helps good luck!
Simplify 4/16 to the lowest terms and find equivalent fraction that has denominator of 32
The lowest fraction for the given fraction [tex]\frac{4}{16}[/tex] is [tex]\frac{1}{4}[/tex].
Also the equivalent fraction with a denominator of [tex]32[/tex] is [tex]\frac{8}{32}[/tex].
Divide the numerator and denominator by their Greatest Common Factor in order to reduce a fraction to its lowest terms. This is often referred to as fractional simplification.
Here, the GCF of [tex](4,16)=4[/tex]. Therefore divide the numerator and denominator of the fraction by [tex]4[/tex].
[tex]\frac{4/4}{16/4} = \frac{1}{4}[/tex]
The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.
Multiply a fraction's numerator and denominator by the same number of digits. You won't alter the value of the fraction and will produce an identical fraction if you multiply the top and bottom of the fraction by the same number.
Here, [tex]16[/tex] times [tex]2[/tex] give [tex]32[/tex]. Now, multiply the fraction with 2 on both the numerator and denominator.
[tex]\frac{4*4}{16*4} = \frac{16}{32}[/tex]
Therefore, the lowest fraction for the specified fraction is [tex]\frac{1}{4}[/tex]. Furthermore, the equivalent fraction with the denominator [tex]32[/tex] is [tex]\frac{16}{32}[/tex].
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Fast Please
Jack studies 3 and a half hours each night. If Jack wants to calculate how many total hours he studies, what equation should he use for the proportional relationship?
The equation of the total number of hours that Jack could use is t = 3.5n
How to determine the equation of the total number of hours?From the question, we have the following parameters that can be used in our computation:
Number of hours of study each night = 3 and a half hours
To start with, we need to represent the given parameter using numbers (fractions or decimal)
Using decimals, we have the following representation
Number of hours of study each night = 3.5 hours
Represent the number of nights as follows
Number of nights = n
Represent the total number of hours as follows
Total number of hours = t
So, we have the following equation
Total number of hours = Number of nights * Number of hours of study each night
Substitute the known values in the above equation, so, we have the following representation
t = 3.5 * n
Evaluate
t = 3.5n
Hence, the equation is t = 3.5n
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Answer: y=3.5x
Step-by-step explanation:
A company orders 25 boxed lunches from a deli for $208.75. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch?
Write a proportion and solve. What is the height of each tree? 18.3 m 9.8 m 32.9 m
Answer: The tree is 17.62m high
Step-by-step explanation:
32.9 divided by 18.3, take that answer and multiply it by 9.8.
***My answer was rounded***
Julia has made 9 posts while trying out a new social media platform. Starting now, she plans
to make 1 post daily.
Write an equation that shows how the total number of posts, y, depends on the number of
elapsed days, x.
y
Submit
The equation that shows how the total number of posts depends on the number of elapsed days is y = 9 + x
What equation will show the total post?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Let the total post be represented by y
Let the daily post be represented by x
Since Julia has made 9 posts while trying out a new social media platform. Starting now, she plans to make 1 post daily. This will be illustrated thus:
y = 9 + (1 × x)
y = 9 + x
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Quick easy story and answer one easy question! help wanted 20 points! please i beg of u to help it would mean alot
QUESTION 3
Only TWO descriptions are used, one for theme 1. and one for theme 2. Match ONE description to each theme to show how the theme is developed in the story.
THEMES:
1. Friends know just what we need.
2. Sometimes life changes whether we want it to or not.
A. ::through the shared interests of the boys
B. ::through the father's promotion
C. ::through the father's advice to his son
D. ::through the gifts that the boys give each other
DETAILS LARCPALGFL2 10.1.100.
TH
Submit Answer
The amount A in an account after 2 years when a principal of P dollars is invested at annual interest rate r (in decimal form) compounded annually is given by A = P(1 + r). Find r.
P= $3000, A = $3499.20
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Step-by-step explanation:
The amount A in an account after 2 years when a principal of P dollars is invested at annual interest rate r (in decimal form) compounded annually is given by A = P(1 + r). Find r.
P= $3000, A = $3499.20. Explain
r = (3499.20 - 3000) / 3000 = 0.1664
Therefore, the annual interest rate r (in decimal form) is 0.1664.
A $500 purchase will be discounted by 35%. What will be the amount owed after the discount?
Answer:
I think your discount price would be $175, and your final price as $325.
Step-by-step explanation:
Answer: the answer would be 175
Step-by-step explanation:
M+4>9 I don’t understand how to solve it
Answer:
Step-by-step explanation:
M= 6 because 6+4=10 which is greater than 9
Find the focus of the parabola: f(x) = 1/4 (x – 3)^2 + 1
Please Help!!
The coordinates of the focus of the parabola are (3, 2)
What is the general equation of a parabola?A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix. The general equation of a parabola is -
y = a(x - h)² + k
We have the following equation of a parabola as -
f(x) = (1/4)(x - 3)² + 1
We can calculate the coordinates of the focus using the formula -
Focus : (h, k+ (1/4a))
[h] = 3
[k + (1/4a)] = 1 + (1/(4x 1/4) = 2
Therefore, the coordinates of the focus of the parabola are (3, 2)
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