Answer:
The answer is C: the ranges of g(x) and f(x) are the same, and their domains are also the same.
Step-by-step explanation:
Just took the test on edge!! :)
Option C The ranges of g(x) and f(x) are the same, and their domains are also the same is correct.
What is domain?
List of values of x an equation can satisfy is called Domain.
What is range?
List of values y the function can generate is called range
For example, f(x)=x
it can satisfy real domain i.e. x∈R
and range is R
g(x) = 3 x + 6 - 8 and f(x) = 3x
Domain for both the function is R
Both the function can satisfy all the real numbers, so its range is also R.
Therefore,Option C The ranges of g(x) and f(x) are the same, and their domains are also the same is correct.
Learn more about domain and range,
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You invest $2,000 in an investment that pays an annual interest rate of 7.5% with monthly compounding. How many months will it take for your investment to be worth $3,500
Answer:
10 years
step-by-step explanation:
First, divide 7.5 by 100, you should get 0.075, then multiply 0.075 by 2000, you should get 150, thats how much interest he gains each year, now subtract 2000 from 3500 to see how much he needs to get to 3500, you should get 1500, now divide 1500 by 150, you should get 10, which is how many years he will need to get to 3500 from 2000
A company found that the average customer rating of
a certain product can be used to estimate the total
income from that product, according to the equation
y= 44x+500, where y is the income,in dollars, and x is
the average customer rating. Which of the following
best describes the slope of the graph of the equation
in the xy-plane?
A) For every increase of 44 in the average customer rating,
the estimated increase in income is $500.
B) For every increase of 1 in the average customer rating,
the estimated increase in income is $544.
C) For every increase of 1 in the average customer rating,
the estimated increase in income is $500.
D) For every increase of 1 in the average customer rating,
the estimated increase in income is $44.
The option that best describes the slope of the graph of the equation in the xy-plane is: D) For every increase of 1 in the average customer rating, the estimated increase in income is $44.
The equation y = 44x + 500 represents the relationship between the average customer rating (x) and the estimated income (y) of a certain product. The coefficient of x, which is 44, determines the slope of the graph. In this case, it means that for every increase of 1 in the average customer rating, the estimated increase in income is $44. Therefore, option D is the correct answer. Option A is incorrect because it suggests a fixed increase of $500 for every increase of 44 in the rating, which is not accurate. Option B is also incorrect as it implies a higher increase in income than what the equation represents. Option C is incorrect because it overestimates the increase in income without considering the coefficient of x.For more questions on increase in income:
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you invested money in two funds. last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you receive a total of $921. This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $846. How much money did you invest in each fund?
Answer:
x= $ 7100 investment in first fund
10x+y=84600 substitute the value of x
10*7100+y=84600
y=84600-71000
y= $ 13600 investment in second fund.
Step-by-step explanation:
what is 100 times the value 15 thousandths
Answer:
Step-by-step explanation:
[tex]\frac{15}{1000} \times 100=1.5[/tex]
A deck of cards contains RED cards numbered 1,2,3,4,5 and BLUE cards numbered 1,2. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card. Drawing the Red 1 is one outcome of which of the following events? Select all correct answers.
Answer:
R+O(I think)
Step-by-step explanation:
The odds of drawing that particular card is 1/7. The odds of drawing a red card are 5/7 and a blue card, 2/7. (This is just my answer)
Answer:
Red 1
B OR O
R AND O
Red 3
B OR O
B'
E'
Red 5
E'
R OR E
R AND O
Step-by-step explanation:
I need help what the value of x and adjacent or vertical?
Answer:
74 degrees
The angles are adjacent, since they have a common side (adjacent basically means right next to each other).
Step-by-step explanation:
180 - 106 = 74
Both angles are supplementary, since they add up to 180 (make a straight line together).
HELP PLS!! according to the rational root theorem, -2/5 is a potential rational root of which function?
Answer:
hi
Step-by-step explanation:
According to the Rational Roots Theorem, the possible rational roots are all the factors of the constant term expressed over the factors of the leading coefficient of the polynomial function. The reason is that the numerator of this rational root is a factor of 4 and the denominator is a factor of 25.
DOES IT HELP?!
Answer: D
Step-by-step explanation: Got it right
What value of a satisfies the following equation?
-2(a + 3) = -4a + 32
Answer:
a = 19
Step-by-step explanation:
-2(a + 3) = -4a + 32
-2a - 6 = -4a +32
+2a +2a
-6 = -2a + 32
-32 -32
-38 = -2a
divide by -2
a = 19
Answer:
a=19
Step-by-step explanation:
-2(a+3) = -4a + 32
-2a - 6 = -4a + 32(Group like terms)
-2a+4a=32+6
2a=38(Divide both sides by 2)
a=19
HELP PLEASE ILL MARK BRAINLIEST
A rectangular prism has a volume of 300 cubic inches. The base measures 15 inches and the height is 5 inches. What is the width?
Answer:
width = 4
Step-by-step explanation:
Use the formula for finding width, and plug in the numbers
w = V/h*l
w = 300/(5*15)
Simplify.
w = 300/(5*15)
w = 4
Hey guys I need some heeeeeeelp please and thank you; Please explain
50 points
Answer:
8 full gas cans
Step-by-step explanation:
The volume of the rectangle is 8000 cm³. That divided by 1000 is 8...
what is 10(x-2)-(x-4)
I want a expert or someone that can tell me this %100 I’m offering a brainalist + 20 points
Answer:
The answer is A
Step-by-step explanation:
Supplementary angles are angles which add up to 180°
∠1 and ∠3 add up to 180°, so they are supplementary.
jim began to bike a 173 mile bicycle trip to build up stamina for a for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 5 hours. If Jim walks at a rate of 4 miles per hour and rides at the rate of 38 miles per hour , find the amount of time he spent on the bicycle
Answer
3.5 hours
Step-by-step explanation:
Let us represent
The time spent walking as x
The time spent riding as y
Jim began a 146-mile bicycle trip to build up stamina for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 5 hours.
Hence:
x + y = 5.... Equation 1
x = 5 - y
If Jim walks at a rate of 4 miles per hour and rides at 40 miles per hour,
The formula for Distance = Speed × time. Hence,
4 × x + 40 × y = 146 miles
4x + 40y = 146.... Equation 2
We substitute 5 - y for x in Equation 2
4(5 - y) + 40y = 146
20 - 4y + 40y = 146
Subtract 20 from both sides
20 - 20 - 4y + 40y = 146 - 20
- 4y + 40y = 146 - 20
36y = 126
y = 126/36
y = 3.5 hours
Since the time he spent raiding his bicycle is represented by "y", the amount of time he spent on the bicycle is 3.5 hours
I think this is right I had this question I think it was the same one I dont know tho
The final task is a bit more difficult. The bookshelf consists of two cubes and each cube has a side of (1/2). This is a fractional base, so the expression for both cubes looks like this: (1/2)^3 x 2. Calculate the volume of the bookshelf to complete your training!
Answer:
1/4
Step-by-step explanation:
I think that the expression is correct
(1/2)^3 x 2 = 1/8 x 2 = 1/4
please help me with math :):
(more than one answer)
Which number(s) are 3 units from zero on a number line?
1. 6
2. 3
3. 1\3
4. -3
what’s the answer's (more than one) 1,2,3,or 4?
Answer: 2. 3 and 4. -3
Step-by-step explanation:
How do you find out if a number is an integer or not?
Answer:
Integers are any whole number negative or positive
Step-by-step explanation:
Please help! I will give brainliest! Needed ASAP
Answer:
3. No
4. Yes
5. Yes
Step-by-step explanation:
Ez and good luck
Answer:
3. no
4. yes equation: [tex]y=x+4[/tex]
5. yes equation: [tex]y=-2x+3[/tex]
Step-by-step explanation:
3. you can get it to that y=mx+b because it has x to the power 2
4. you just need to reverse the equation instead of the RHS of the equation 4+x it will be x+4
5. the same as question number 4
25 3/2 in radical form
Find the Value of each power.
1. 12^0
2. 12^2
3. (2/7^3
4. 0.4^2
5.(4/9^1
6. 0.7^3
Answer:
1
144
8/343
0.16
4/9
0.343
HELP PLEASE DO NOT PUT A LINK
Answer:
No
No
Yes
Yes
No
Step-by-step explanation:
Can somebody help me? I need help ;-;...
Answer:
Bottom left
Step-by-step explanation:
Dots are on the inside and outside of the line as well as being on the line
Determine whether the situation calls for a survey, an observational study, or an experiment. You want to find out if a new drug can help decrease the symptoms of migraine headaches.
experiment
observational study
survey
observational study is the wrong answer
Answer:
Experiment.
Step-by-step explanation:
It helps you determine the effect of the medication in a controlled environment with variables and controls.
What is the acceleration of a 4.5 kg mass when there is a net force of 18 N on
it? Please show me the equation if you know.
Answer:
Step-by-step explanation:
a=F/m
a=18/4.5
a=4 m/s/s
hope this helped! :D
Help mee
simplify the expression 3(x - 6) + (4x + 12) - 6x
Answer:
x - 6.
Step-by-step explanation:
3(x-6) = 3x -18
3x -18 + 4x + 12 -6x = x - 6
You and a friend were invited to a party you both were asked to bring pizzas and chips
What is the full question!?
Answer:
Then if each would bring 1 of each so there would be 2 pizzas and 2 bag of chips
Step-by-step explanation:
lol id.k/ if this was supposed to be a joke but here I am ◑﹏◐
which is a true statement about 10 days of production
Answer:
At 10 days, no line is above the '0' means no one is producing widgets at 10 days point. Since the y axis represents number of widgets produced, this means none of the plants have produced more than 0 widgets yet.
Together, Dien and Jane can eat 2/3 of a pizza in 4 seconds. How long would it take each of them to eat the whole pizza alone if Jane can eat a pizza 5 seconds faster than Dien?
Answer:
Dien - 15 seconds, Jane - 10 secondsStep-by-step explanation:
Together:
2/3 of pizza ⇒ 4 secondsFull pizza ⇒ 4 ÷ 2/3 = 6 secondsDien needs x seconds to eat pizza
Jane needs x - 5 seconds to eat pizza
In one second, Dien can eat 1/x, Jane can eat 1/(x - 5), together 1/6 of a pizza
1/x + 1/(x - 5) = 1/6x(x - 5) = 6(x + x - 5)x² - 5x - 12x + 30 = 0x² - 17x + 30 = 0(x - 15)(x - 2) = 0x = 15 (x = 2 is discounted as not realistic)Dien can eat a pizza in 15 seconds, Jane can eat a pizza in 10 seconds
9 x 1/4 =?
1x 23/100=?
Answer:
fwoggy
Step-by-step explanation:
Solve for x. Round to the nearest tenth.
15°
33
x
The length of x in the right triangle is 31.9 units.
How to solve the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the side of a right triangle can be found using trigonometric ratios as follows:
Hence,
cos 15° = adjacent / hypotenuse
adjacent side = x
hypotenuse side = 33 units
cos 15° = x / 33
cross multiply
x = 33 cos 15°
x = 33 × 0.96592582628
x = 31.8755522675
Therefore,
x = 31.9 units
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Scores of an IQ test have a bell-shaped distribution with a mean of and a standard deviation of . Use the empirical rule to determine the following. (a) What percentage of people has an IQ score between and ? (b) What percentage of people has an IQ score less than or greater than ? (c) What percentage of people has an IQ score greater than ?
Complete question is;
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule to determine the following.
(a) What percentage of people has an IQ score between 87 and 113?
(b) What percentage of people has an IQ score less than 74 or greater than 126?
(c) What percentage of people has an IQ score greater than 139?
Answer:
A) 68% of the people had an IQ score between 87 and 113
B) 5% of the people had IQ scores less than 74 and greater than 126.
C) 0.15% had an IQ score greater than 139
Step-by-step explanation:
We are given;
Mean; x¯ = 100
Standard deviation; σ = 13
According to the empirical rule in statistics;
>> 68% of the data lies within one standard deviation of the mean
>> 95% of the data lies within two standard deviations of the mean
>> 99.7% of the data lies within three standard deviations
A) We want to find the percentage of people with an IQ score between 87 and 113.
Within one standard deviation, we have;
x¯ ± σ
>> (100 - 13), (100 + 13)
>> (87, 113) which is the range we are looking for.
Thus, 68% of the people had an IQ score between 87 and 113
B) we want to find percentage of people has an IQ score less than 74 or greater than 126.
Let's first find those who had between 74 and 126.
Let's use two standard deviations within the mean.
x¯ ± 2σ
>> (100 - (2×13)), (100 + (2×13))
>> (74, 126) which is the range we are looking for.
So percentage that have IQ scores between 74 and 126 is 95%
Thus;
Percentage of those who had less than 74 and greater than 126 is;
P = 1 - 95%
P = 5%
C) we want to find the percentage of people that had an IQ score greater than 139.
Let's use the z-score formula;
z = (x¯ - μ)/σ
z = (139 - 100)/13
z = 39/13
z = 3
This means it is 3 standard deviations above the mean.
Thus;
Since it's one side outside the mean, then;
Percentage of people with an IQ score greater than 139 = (1 - 99.7%)/2 = 0.3%/2 = 0.15%