Answers
Answer:
D). g(x) = - x² - 4
Step-by-step explanation:
D). g(x) = - x² - 4
Answer: D
Step-by-step explanation: This has to do with Transformations. With transformations, it follows this formula:
A (Bx±C) ± D
A is a vertical transformation where the graph is pulled upwards or squished downwards. If it is a whole number, like 2, the graph is pulled (stretched) up. If it is a fraction, like 1/2, the graph is squished.
B is a horizontal transformation where the graph is stretched outwards or squished inwards (think: accordian). If it is a whole number, like 2, the graph is squished inwards. If it is a fraction, like 1/2, the graph is stretched outwards.
C is a shift right or left. In this case, the ENTIRE graph moves right or left by C. If it is x+C, the graph moves left. If it is x-C, the graph moves right.
D is a shift up or down. In this case, the ENTIRE graph moves up or down by D. If it is +D, the grapjh moves up. If it is -D, the graph moves down.
If there are no Parenthesis or Square Root for B and C to be inside of, then there is no B and C. For the graph of x², for example, you might only have
Ax² ± D.
A graph of x² with parenthesis might look like this
A (Bx²± C) ± D.
Finally, if there is a negative (-) in front of A, that means the entire graph flips accross the x-axis, upsidown. If it is a parabola (x²), then the 'opening' or 'U-shape' faces down when there is a negative in front of A.
Ok, now that the basics are taken care of, we can analyze the graph provided. We are given with the basic graph of x². The first obvious noteicable thing we see is the fact that the new graph, g(x), has been moved down by 4 units.
We know that a shift Downwards is an effect of D, so we know the graph of g(x) looks like this so far:
x² - 4
However, that is not the only transformation that we can notice about g(x). We see that g(x) is flipped upsidown, with its 'U-shape' facing downwards. We know that this is because there is a negative in front of A.
So, g(x) looks like this now:
- x² - 4
After careful examination, there are no other noticeable transformations, so we figure out that g(x) = - x² - 4.
Related Questions
1. This table shows the input and output values for an exponential function f(x).
What is the ratio of outputs for any two inputs that are one value apart?
4
−12
2
−2
2. The table represents an exponential function.
What is the ratio of outputs for any two inputs that are two values apart?
Divide the larger output by the smaller output.
Enter your answer, as a decimal to the nearest hundredth, in the box.
3. Which situations can be represented by an exponential function?
Select each correct answer.
The value of a motorcycle decreases by 12% each year.
In a structure made of soup cans, each row has 6 more cans than the previous row.
Every year, the number of online subscribers to a service is 4 times what it was the previous year.
A doctor's office accepts 20 new patients each month.
Answers
Answer:
Question 1) Is option C: 2. (Question 2) The correct answer is 1.09 for the K12 program. Question 3) Option A: The value of a motorcycle decreases by 12% each year. (Option C) Every year, the number of online subscribers to a service is 4 times what it was the previous year.
The ratio of outputs for any two inputs that are one value apart is 4 thus option (A) is correct. The ratio of outputs for any two inputs that are two values apart is 1/8. The situation in option (3) represents the exponential function.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given table,
The ratio of outputs for any two inputs that are one value apart = (-1/2)/(-1/8) = 4
The ratio of outputs for any two inputs that are two values apart = (-1/8)/(-1) = 1/8
Every year, the number of online subscribers to a service is 4 times what it was the previous year's exponential function with a 4^x exponent.
Hence "The ratio of outputs for any two inputs that are one value apart is 4. The ratio of outputs for any two inputs that are two values apart is 1/8 and the third statement shows exponential function".
For more information about ratios and proportions,
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the expression that is equal to -10(4x – 5).
Answers
In a survey of 468 registered voters, 152 of them wished to see Mayor Waffleskate lose her next election. The Waffleskate campaign claims that no more than 32% of registered voters wish to see her defeated. Does the 95% confidence interval for the proportion support this claim?
a. The reasonableness of the claim cannot be determined.
b. Yes
c. No
Answers
Answer: b. Yes
Step-by-step explanation: Confidence Interval for a population proportion is calculated as:
p ± [tex]z\sqrt{\frac{p(1-p)}{n} }[/tex]
where
p is the sample proportion
n is sample size
z is z-score, in this case, as it is 95%, z-score=1.96
Calculating confidence interval:
[tex]p=\frac{152}{468}[/tex]
p = 0.3248
0.3248 ± [tex]1.96\sqrt{\frac{0.3248(0.6752)}{468} }[/tex]
0.3248 ± [tex]1.96\sqrt{0.000468}[/tex]
0.3248 ± 0.0425
Interval: 0.2823 < μ < 0.3673
The interval means we are 95% sure the true mean is between 0.2823 and 0.3673. As the campaign claims a proportion of no more than 0.32 of the voters wants to see Mayor Waffleskate defeated and the number is in the confidence interval, the claim is supported.
PLEASE HELP ME I DO'T UNDERSTAND DIS MATh
Answers
Answer:
60%
Step-by-step explanation:
A percent is technically just a fraction over 100.
To get that here, we simply divide the part (which is 1560 people) by the whole (which is 2600 people) and then multiply that by 100:
(1560 / 2600) * 100 = 0.6 * 100 = 60/100
Thus, we know that the percent is 60%.
In which pair do both decimals represent rational numbers?
O A. 2.71828182845904523536... and 0.1222
O B. 3.141592653589793238... and 0.684
O C. 3.141592653589793238... and 0.1222...
O D. 0.684 and 0.1222...
Answers
Answer:
B.) 0.684 and 0.122
Step-by-step explanation:
A number that cannot be expressed as a ratio between two integers and is not an imaginary number. If written in decimal notation, an irrational number would have an infinite number of digits to the right of the decimal point, without repetition. Pi and the square root of 2 (√2) are irrational numbers.
pi = 3.14159265359.....
e = 2.71828182845.....
Both are irrational
Which statements are true?
–1.3 is less than Two-fifths.
1.5 is less than –0.2.
Two-fifths is greater than –0.2.
Negative one-fourth is less than –0.2.
1.5 is greater than Two-fifths.
Answers
Answer:
A, C, D and E
Step-by-step explanation:
Hope it helps :D
Answer:
A,C,D and E
Step-by-step explanation:
Please do question 5 im giving out brainlyist or something like that :)
Answers
I would say none
because each one equals to 24 students, when it says there are 24 students in each are class. so you would need to do 24 * 5 to get the amount of students.
Answer:
The second answer choice
Step-by-step explanation:
if you divided the total amount of people in all of the art classes by 5 you would get 24. Or you could think of it as multiplying by 5 on both sides which would give you "s" because it cancels out on the left side.
2 1/2 + 3
As a fraction or a mixed number in simplest form. please Thankss ;p
Answers
2 1/2 +3
pretend that there is a denominator for 3 which is 1
2 1/2 +3/1
find the common denominator for 3/1 which is 2
multiply by 2 for 3/1
3(2)/1(2)=6/2
2 1/2 +6/2
make 2 1/2 into a fraction
multiply 2*2 first
2*2=4
add 4 with the numerator
4+1=5
2 1/2=5/2
5/2+6/2
=11/2
= 5 1/2
answer: 11/2 or 5 1/2
Bill purchased a $3499.25 plasma TV. The sales tax rate is 5%. What is the sales tax?
Answers
Answer:
174.9625
Step-by-step explanation:
Multiply the cost by 0.05
Use the inequality below to answer the question. 0.08 g + 0.2 < 5 Which set of values contain possible solutions for g?
Answers
Answer: g<22.5
Step-by-step explanation:
Isolate the variable by dividing each side by the factor that don’t contain the variable.
if 7y=2x-5, then x = ?
Answers
Answer:
the answer is -0.7
Step-by-step explanation:
first you multiply 2 ×-5 that will give you negative 10 then you divide 7 ÷ -10 and you get -0.7
3*square root of 7 /5*square root of 7
Answers
Answer:
[tex]\frac{3}{5}[/tex] (Decimal: 0.6)
Step-by-step explanation:
[tex]\frac{3\sqrt{7} }{5\sqrt{7} }[/tex]
Cancel the common factor: √7
= [tex]\frac{3}{5}[/tex]
Meg measured the length of some pieces of wire.?What is the difference in lenght between the longest and shortest piece of wire?
Answers
The tape diagram below represents 100%.
100%
?
What percent is represented by the shaded area?
%
Answers
Answer:
Step-by-step explanation:
Well the answer is 40 cause you count by 20 so if you in 20 t o times then you would get 40 percent
75% of the tape diagram is shaded.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The tape diagram.
Let us consider the whole tape as 1 and 100%.
It is divided into four parts.
3 parts of 4 parts are shaded.
Three divided by four.
3/4=0.75
Now multiply 0.75 with 100.
0.75×100
75%
Hence, 75% is the shaded diagram percentage.
To learn more on Percentage click:
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Based on its degree, what kind of polynomial is this?
h(x) = 4x^4 + 2x - 5
Answers
Answer:
Quartic
Step-by-step explanation:
Given
[tex]h(x) = 4x^4 + 2x - 5[/tex]
Required
Name the polynomial
The question required that the polynomial be named based on its degree.
This implies that, we name the polynomial based on the highest power of x
Highest power of x = 4
When the highest power of x in a polynomial is 4, such polynomial is a quartic polynomial.
Hence, by degree; the polynomial is quartic
What is the constant of proportionality of the equation y=4/5x?
Answers
Answer:
Step-by-step explanation:
y=
4
5
x
Find the 9th term of the geometric sequence 9, 27, 81
Answers
Answer: 243
Step-by-step explanation:
It’s going up by the square roots of 3 so therefore the fourth term is 3 to the fourth power which is 243.
PLS HELP ME WHO EVER GETS ANSWER I WILL GIVE BRAINLIEST AND ALL MY POINTS SO PLEASE ANSWER THIS PLSSS ITS EASY
Answers
Answer:
15
Step-by-step explanation:
Answer:
200 detective phones.
Step-by-step explanation:
Write the proportion where x is the number of detective phones.
cross multiply
divide both sides by 60
Which of the following inequalities matches the graph?
x < 2
y > 2
y < 2
x > 2
Answers
Answer:
Step-by-step explanation:
y=2x+2
what is the inverse of
Answers
Answer:
[tex]A^{-1} = \frac{1}{66} \left[\begin{array}{cc}-2&-5\\6&-18\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{cc}-18&5\\-6&-2\end{array}\right][/tex]
Required
Determine the inverse
A matric is of the form:
[tex]A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]
First, we need to calculate the determinant (D)
[tex]D = a * d - b * c[/tex]
By comparison, we have:
[tex]D = (-18 * -2) - (5 * -6)[/tex]
[tex]D = (36) - (-30)[/tex]
[tex]D = 36 +30[/tex]
[tex]D = 66[/tex]
The inverse is then represented as:
[tex]A^{-1} = \frac{1}{D} \left[\begin{array}{cc}d&-b\\-c&a\end{array}\right][/tex]
This gives:
[tex]A^{-1} = \frac{1}{66} \left[\begin{array}{cc}-2&-5\\6&-18\end{array}\right][/tex]
If XYZ is equilateral and WXY is isosceles, what is the measure of ∠WZY?
Answers
What does s+8 equal?
Answers
Answer:
it will be 12f
Step-by-step explanation:
since you told the wrong question
Mr. Jensen bought 2 2/3 gallons of gasoline yesterday. Today he brought 3 1/2 more gallons. How many total gallons of gasoline has he bought?
A. 5 3/5 gallons
B. 5 3/6 gallons
C. 6 1/6 gallons
D. 5 1/6 gallons
Answers
Answer:
The correct answer is C. 6 1/6 gallons.
Step-by-step explanation:
Hope that helps you and please give me brianliest!! I only need one more brainliest to rank as an Expert...
Answer:
c
Step-by-step explanation:
2 2
3
+
3 1
2
= (2 + 3) + (
2
3
+
1
2
)
= 5 +
2 × 2
3 × 2
+
1 × 3
2 × 3
= 5 +
4
6
+
3
6
= 5 +
4 + 3
6
= 5 +
7
6
= 5 +
1 1
6
=
6 1
6
What is the SEC?
a. The largest stock exchange in North America
b. The margin of profit you gain from stock
C. The government agency which oversees the trading of stock
d. The total worth of your stock portfolio
Answers
Answer:
C.
Step-by-step explanation:
A random sample of 100,000 credit sales in a department store showed an average sale of $82.25. From past data, it is known that the standard deviation of the population is $30.00. The margin of error is 0.186.
Required:
a. What is the 95% confidence interval of the population mean?
b. With a 0.95 probability, determine the sampling error?
c. Determine the standard error of the mean.
Answers
Answer:
Step-by-step explanation:
Given that:
Sample Mean [tex]\overline x[/tex] = 82.25
The Standard deviation of the population [tex]\sigma[/tex] = 30.00
The Sample size = 100,000
The margin of error M.O.E = 0.186
At a 95% confidence interval level;
[tex]=\overline x - M.O.E < \mu < \overline x + M.O.E[/tex]
= 82.25 - 0.186 < [tex]\mu[/tex] < 82.25 + 0.186
= 82.064 < [tex]\mu[/tex] < 82.436
= (82.064 , 82.436)
The 95% confidence interval of the population mean = (82.064 , 82.436)
Before we can determine the sampling error, we need to find the standard error of the mean.
The standard error of the mean is:
[tex]\mu_ {\bar x} = \mu = 82.25[/tex]
[tex]\sigma_{\bar x} = \dfrac{\sigma}{\sqrt{n}}[/tex]
[tex]\sigma_{\bar x} = \dfrac{30}{\sqrt{100000}}[/tex]
[tex]\sigma_{\bar x} = \dfrac{30}{316.23}[/tex]
[tex]\sigma_{\bar x} = 0.096[/tex]
At 95% confidence interval, the level of significance = 1 - 0.95 = 0.05
[tex]Z_{0.05/2} = Z_{0.025}[/tex] = 1.96
Now, the sampling error can be determined by using the formula:
[tex]=Z_{\alpha/2} \times \sigma _{\overline x}[/tex]
[tex]=Z_{0.025} \times \sigma _{\overline x}[/tex]
= 1.96 × 0.096
= 0.18816
Whoever answers correctly gets brainlist.
Answers
Answer:
57/60-52/60
Step-by-step explanation:
First you have to make the denominator the same to subtract. By find out what number they have in common. And the number was 60. 15x4=60 and 20x3=60. And whatever you do to the bottom you do for the top 19x3= 57. 13x4=52. So the form would be 57/60-52/60. Once you find the form then you subtract 57-52=5 and when you minus the denominator it stays the same. so the ANSWER would be 5/60.
If the vertex of image Q' is located at coordinates (16,8) was dilated by a scale factor of 2, what was the coordinates for the pre-image Q?
Answers
Answer:
(32,16)
Step-by-step explanation:
When you dilate a coordinate by a factor say a, the coordinate of the image are multiplied by this factor to get the coordinate of the pre-image. For example, if the coordinate of the image is (x,y) dilated by a factor of "a", the coordinate of the pre-image will be (ax, ay)
Given the coordinate (16, 8) the coordinate of the pre image of dilated by a factor of 2 is given as;
(2×16, 2×8) = (32, 16)
Hence the coordinates for the pre-image Q is (32,16)
HELP Calc Multiple Choice 25 POINTS
Answers
Answer:
C
Step-by-step explanation:
[tex]f'(x)=g(x) * (x^2-4)\\0=g(x)*(x^2-4)\\x={-2,2}\\f(-4) = -\\f(-2) = 0 \\f(0) = +\\f(2) = 0 \\f(4)= -\\\\[/tex]
It decreases from negative infinity to -2, then increases, so x=-2 is a rel. min.
It increases from x=-2 to x=2, then decreases to infinity, so x=2 is a rel. max.
A ghoul is flying at 23 miles per hour when a ghoul policeman stops him. The speed limit is 20 miles per hour. He has to pay a $5.25 fine for every mile over the speed limit.He pays the fine a week late and has a $2 fee for every day he was late. Before he paid his fine he had $278.96. How much did he have AFTER paying his fine?
Answers
Answer:
249.22
Step-by-step explanation:
write in standard form: (5×100)+(6×1)+(5×1/10)+(9×1/1000)
Answers
Answer:
9,556
Step-by-step explanation: