Answers
Step-by-step explanation:
If they have the same shape, the red graph is a translation of the blue, which is given to be y=x^2.
Since the red graph stays on the y axis at two units above the blue (y=x^2) curve, therefore the red curve is given by y=x^2+2.
The equation of the red graph is f(x) = x² + 2.
Option B 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,
The graphs of f(x) = x² and f(x) = x² + 2 are both quadratic functions, which means they have a parabolic shape.
The graph of f(x) = x^2 is an upward-opening parabola with its vertex at the origin (0,0).
The parabola is symmetric about the y-axis and the x-axis.
The graph of f(x) = x² + 2 is also an upward-opening parabola, but it has been shifted upward by 2 units compared to the graph of f(x) = x².
This means that the vertex of the parabola has been shifted from (0,0) to (0,2).
Thus,
The equation of the red graph is f(x) = x² + 2.
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Related Questions
A hotel wants to know if there's a relationship between gender and the way customers make room reservations. A manager takes a random sample of 160 reservations. She records whether they were made by a man or a woman, and also records how the reservation was made. She gets the following data: Phone 28 Men Women Fax 9 12 Email 37 29 45 Perform a chi-square significance test of association with a = .05. Be sure to include your null and alternative hypotheses, a justification for the use of this test, your test statistic calculations, your P-value, and your conclusion.
Answers
Answer:
Step-by-step explanation:
Here,
H_o: The way of reservation is independent of gender.
H_a: The way of reservation is not independent of gender.
We use a chi square test because we can calculate the expected frequencies for this chart.
Doing an Expected Value Chart,
33.7625 9.7125 30.525
39.2375 11.2875 35.475
Using chi^2 = Sum[(O - E)^2/E],
chi^2 = 4.482385929
With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,
a = 3
b = 2
df = 2
Thus, the critical value is
significance level = 0.05
chi^2(critical) = 5.991464547
Also, the p value is
P = 0.106331579
Thus, comparing chi^2 and chi^2(critical) [or, p and significance level], we FAIL TO REJECT THE NULL HYPOTHESIS.
Thus, there is no significant evidence that the way of reservation is dependent of gender. [CONCLUSION]
HELP! POTATOooooooooooooooooooooooo plz
Answers
Answer:
Step-by-step explanation:
i cant see the answer
47x290 explain how to get the product
Answers
Answer:
\(47\cdot290=13630\)Step-by-step explanation:
The first step in long multiplication is to write down the numbers. You align the numbers on the right.
Then, we start multiplying the bottom numbers to the top. For example, 7*0, 7*9, and 7*2. Then, write down the product below the line:
Then, we do the same with the number 4 and write down the product below 2030, shifted one place to the left.
Then, add up the two products, that would be the final product:
solve the ODE y'+xy=x² with y(0)=2
Answers
2′″−″−′+′=0
2
y
′
y
″
−
x
y
″
−
y
′
+
y
′
=
0
or
″(2′−)=0.
y
″
(
2
y
′
−
x
)
=
0.
Let =′
v
=
y
′
and we have ′(2−)=0,
v
′
(
2
v
−
x
)
=
0
,
so either ′=0
v
′
=
0
and =
v
=
c
or =/2
v
=
x
/
2
.
Then ′=
y
′
=
c
and so =+
y
=
c
x
+
d
or ′=/2
y
′
=
x
/
2
and =2/4.
y
=
x
2
/
4.
Plugging the first into the original equation gives =−2
d
=
−
c
2
. So there are two solutions =−2
y
=
c
x
−
c
2
for some constant
c
and =2/4
y
=
x
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4
. I don't know if this is all the solutions
Match these together
1 similar figure
2 congruent
3 corresponding sides
4 corresponding angles
a. angles that have the same measure are _______.
b. sides in the same relative position. In similar figures they are proportional.
c. Figures with the same shape but no necessarily the same size
d. angles in the same relative position. in similar figures they are congruent
Answers
2. A
3. B
3. D
Hope this helps
Donna makes 8 dollars for each hour of work write an equation to represent her total pay p after working h hours
Answers
Answer:
8h=p
Step-by-step explanation:
P is pay
H is hour
u make 8 dollars for an hour, so for h hours it would be 8h
Which graph represents a function with direct variation? A coordinate plane with a line passing through (negative 4, 0) and (0, negative 2). A coordinate plane with a line passing through (negative 5, 4) and (0, 3). A coordinate plane with a line passing through (negative 4, negative 6) and (0, 3). A coordinate plane with a line passing through (negative 1, negative 4), (0, 0) and (1, 4).
Answers
A line passing through the points (-1,-4),(0,0) and (1,4).
The correct option is (B).
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The only line that passes through origin is having coordinates (-1,-4),(0,0) and (1,4).
m= y/x
m = -4/-1
m=4
Hence, the linear equation is y=4x, which represent in direct variation.
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Answer:
C
Step-by-step explanation:
If the line is a direct variation it has to go through the origin
Susan’s red notebook cover is 20 centimeters by 30 centimeters. She has a sticker for each letter in her name. Each sticker is a square that measures 3 centimeters on each side. She puts all 5 stickers on her notebook. How much of the red notebook cover is still showing?
Answers
Answer:
Find the surface area of her notebook.
30 + 30 + 20 + 20 = 100
Now find the surface area of the square stickers.
2 + 2 + 2 + 2 = 8
So this is the surface area of one square, now multiply it by 8.
8 * 7 = 56
This is the surface area of all the stickers, now subtract it to the surface area of the notebook:
100 - 56 = 44
So 44 centimeters of the notebook cover will still be showing.
Step-by-step explanation:
The equation of the line is
Answers
Answer:
y = -x +3
Step-by-step explanation:
You want the slope-intercept equation of the line with the same intercept as -3y = -9 +3x, and the same slope as -2x -2y = -8.
Slope-intercept formThe slope-intercept form of the equation of a line is ...
y = mx +b . . . . . where m is the slope, and b is the y-intercept
For the given equations, we can put them in this form to find the desired parameters.
-3y = -9 +3x
y = -x +3 . . . . . . . . . . divide both sides by -3
We observe that the y-intercept is +3, which we will need for our answer.
The slope-intercept form of the second equation is ...
-2x -2y = -8
x + y = 4 . . . . . . . . . . divide by -2
y = -x +4 . . . . . . . . . . subtract x
We observe that the slope (coefficient of x) is -1, which we will need for our answer.
Desired equationWe want the equation of the line with slope -1 and y-intercept 3. It is ...
y = -x +3 . . . . . . . . . . same as the equation of the first line
__
Additional comment
The slope-intercept equation (green) is plotted using dots, so that you can see it is coincident with the line described by the first equation (red). Parallel lines have the same slope, so our desired line must be parallel to the blue line. (It is.)
Find the value of ab when a = 2/11
and b = 10/11
Answers
Answer:
20/121
Step-by-step explanation:
\(ab=\left(\frac{2}{11} \right) \left(\frac{10}{11} \right) \\ \\ =\frac{(2)(10)}{(11)(11)} \\ \\ =\frac{20}{121}\)
I need help with the radical I don’t know how to solve it because I don’t know how to use the radical
Answers
We need to draw a right triangle and label the right angle and theta. Also label the legs.
The hypotenuse measures 3*square root(3).
The opposite leg measures 3.
To find the adjacent leg we can apply the Pythagorean Theorem:
\(h^2=a^2+b^2\)Where h is the hypotenuse, a and b are the legs of the triangle.
We can replace h and a with the known values, and solve for b:
\(\begin{gathered} b^2=h^2-a^2 \\ b^2=(3\sqrt[]{3})^2-3^2 \\ b^2=3^2\cdot(\sqrt[]{3})^2-3^2 \\ b^2=9\cdot3-9 \\ b^2=27-9 \\ b^2=18 \\ \sqrt[]{b^2}=\sqrt[]{18} \\ b=\sqrt[]{9\times2} \\ b=\sqrt[]{9}\times\sqrt[]{2} \\ b=3\sqrt[]{2} \end{gathered}\)Then, the adjacent leg measures 3*square root(2).
Now, we need to find the 6 trigonometric functions:
Start with the sine function:
\(\begin{gathered} \sin \theta=\frac{opposite}{hypotenuse} \\ \sin \theta=\frac{3}{3\sqrt[]{3}} \\ We\text{ can simplify 3/3=1} \\ \sin \theta=\frac{1}{\sqrt[]{3}} \end{gathered}\)Cosine:
\(\begin{gathered} \cos \theta=\frac{adjacent}{hypotenuse} \\ \cos \theta=\frac{3\sqrt[]{2}}{3\sqrt[]{3}} \\ \text{Simplify 3/3=1} \\ \cos \theta=\frac{\sqrt[]{2}}{\sqrt[]{3}} \\ \text{Apply the quotient property of square roots} \\ \cos \theta=\sqrt[]{\frac{2}{3}} \end{gathered}\)Tangent:
\(\begin{gathered} \tan \theta=\frac{opposite}{adjacent} \\ \tan \theta=\frac{3}{3\sqrt[]{2}} \\ \text{Simplify 3/3=1} \\ \tan \theta=\frac{1}{\sqrt[]{2}} \end{gathered}\)Cosecant:
\(\begin{gathered} \csc \theta=\frac{hypotenuse}{opposite} \\ \csc \theta=\frac{3\sqrt[]{3}}{3} \\ Simplify\text{ 3/3=1} \\ \csc \theta=\sqrt[]{3} \end{gathered}\)Secant:
\(\begin{gathered} \sec \theta=\frac{hypotenuse}{adjacent} \\ \sec \theta=\frac{3\sqrt[]{3}}{3\sqrt[]{2}} \\ Simplify\text{ 3/3=1} \\ \sec \theta=\frac{\sqrt[]{3}}{\sqrt[]{2}} \\ \sec \theta=\sqrt[]{\frac{3}{2}} \end{gathered}\)Cotangent:
\(\begin{gathered} \cot \theta=\frac{adjacent}{opposite} \\ \cot \theta=\frac{3\sqrt[]{2}}{3} \\ \text{Simplify 3/3=1} \\ \cot \theta=\sqrt[]{2} \end{gathered}\)
Which method of multiplication is shown below?
18 x 85 = 1530
————————-
1 85
2 170 170
4 340
8 680
16 1360
+1360
———
1530
A.Ancient Egyptian Method
B.Chinese Method
C.Japanese Method
D.Russian Method
Answers
The method of multiplication shown is (a) Ancient Egyptian Method
MultiplicationThis involves taking the product of at least two factors which could be numbers, expressions or both
From the method shown, we can see that a factor is multiplied by multiples of 2 (i.e. doubling), till it reaches a maximum
This method is associated with the Egyptian.
Hence, the method of multiplication is (a) Ancient Egyptian Method
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chloe has three dogs. Corky weighs twice as much as muffin.Rufus weighs twice as much as corky. the total weight of the dog is 77 pounds. how much does each dog weigh?
Answers
Answer:
Corky = c = 22 pounds
Muffin = m = 11 pounds
Rufus = r = 44 pounds
Step-by-step explanation:
Let the weight of each dog be represented as
Corky = c
Muffin = m
Rufus = r
The total weight of the dog is 77 pounds.
c + m + r = 77
Corky weighs twice as much as muffin.
c = 2m
m = c/2
Rufus weighs twice as much as corky.
r = 2c
Hence
c + c/2 + 2c = 77
3.5c = 77
c = 77/3.5
c = 22 pounds
m = c/2
m = 22/2
m = 11 pounds
r = 2c
r = 2 × 22
r = 44 pounds
Each dog weighs:
Corky = c = 22 pounds
Muffin = m = 11 pounds
Rufus = r = 44 pounds
The first sequence rule is multiply by 3 starting from 5. The second sequence rule is add 9 starting from 18. What is the first number that appears in both sequences?
27
45
72
135
what is the answer
Answers
Considering the sequences given, the first number that appears in both sequences is given by: 45.
What numbers appear in the first sequence?The rule is multiply by 3 starting from 5, hence the numbers are:
(5, 15, 45, 135, ...).
What numbers appear in the second sequence?The rule is add 9 starting from 18, hence the numbers are:
(18, 27, 36, 45, ...).
45 is the first number that appeared in both sequences.
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What is the next term in the pattern? 1,1,5,17,71,247
Answers
Answer: 1085
Step-by-step explanation:
Ben saved $1 on the first week, $ 3 on the second week, $9 on the third week, and so
on. How much did he save on the 6th week?
Answers
Answer: 18$
Step-by-step explanation: ben had saved 1$ on the first week $3 on the second week and $9 on the third week and on the 6th week he had.
CAN SOMEONE HELP ME UNDERSTAND THIS PLEASE
Answers
YEAH OFC SHAWTY!
so for A its -4^11 because if the powers have the same base and they are being multiplied you add the powersFor B its the same idea, they have the same base, and are being multiplied so you add the powers- 13^9For C its similar, you have the same base, but since its Dividing, you subtract the powers. So, 9^5for D you pretend like the denominator has a power of 1 and subtract. So its -24^5-24^1 which hopefully puts it into perspective of being -24^4 becuase we subtracted the powersI cant do 2 right now, but i will in a minute
And for 3 his mistake is that they arent the same bases so he cant add the powers, he should have converted them to the same base first.
A system of equation is shown below.
Equation A: x+4y=5
Equation B: 3x−2y=20
Which method eliminates one of the variables?
Multiply Equation B by 3 and add the results.
Multiply Equation B by 2 and add the results.
Multiply Equation A by 3 and add the result.
Multiply Equation A by 4 and add the result.
Answers
The system of equation can be solved using elimination method by "Multiply Equation B by 2 and add the results".
The correct answer option is option B
How to solve simultaneous equation using elimination method?Equation A: x + 4y = 5
Equation B: 3x − 2y = 20
Multiply Equation B by 2 and add the results
6x - 4y = 40 equation C
x + 4y = 5 Equation A
Add both equations to eliminate y6x + x = 40 + 5
7x = 45
divide both sides by 7
x = 45/7
x = 6.43
Substitute x = 6.43 intox + 4y = 5
6.43 + 4y = 5
4y = 5 - 6.43
4y = - 1.43
divide both sides by 4y = -1.43 / 4
y = - 0.3575
Therefore, multiplying Equation B by 2 and adding the results will help eliminate one of the variables.
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Which point would NOT be a solution to the system of linear inequalities shown below?
Answers
It's asking would not be a solution soo
(-10, -9) as you can see
You're welcome thank me later
Jordan scored 19 points during a basketball game. She made a total of 9 baskets.
If Jordan made only one-point free throws and three-point baskets, how many of each did she make?
A
1 one-point basket; 6 three-point baskets
B
4 one-point baskets; 5 three-point baskets
C
5 one-point baskets; 4 three-point baskets
D
6 one-point baskets; 3 three-point baskets
Answers
Answer:
B) 4 one-point baskets: 5 three-point baskets
Step-by-step explanation:
(4 x 1) + (5 x 3) = 19
Which of the following speeds will produce lowest miles per gallon?
A. 35 mph
B. 105 mph
c. 45 mph
D. 55 mph
SUBMIT
Answers
Answer: B. 105 mph
Step-by-step explanation:
Answer:
trust me (D) is the correct answer can you mark b please thank you
Step-by-step explanation:
I hope it help you lot see you around
Use the power-reducing formulas to rewrite the expression in terms of first powers of the cosines of multiple angles.
5 cos4(x)
Answers
Using the power reducing formulas the expression \(5cos^4(x) = 5(1 + cos(2x))^{2/4}\).
What are power-reducing formula?We can define higher powers of a trigonometric function in terms of lower powers of the same function using the power-reducing formulas, which are trigonometric identities. Higher powers of cosine can be expressed using this formula in terms of sine and cosine's initial powers. For the other trigonometric functions, such as sine and tangent, there are equivalent formulas. These formulas can be used to solve trigonometric equations and to simplify trigonometric expressions.
The given function is 5cos^4(x).
Now, the power reducing formulas are given by:
\(cos(2x) = cos^2(x) - sin^2(x) = 2cos^2(x) - 1\\cos^2(x) = (1 + cos(2x))/2\)
Substituting the value of second equation in 1 we have:
cos(2x) = 2(1 + cos(2x))/4 - 1
\(cos(2x) = (2cos^2(x) - 1) = cos^2(x) - sin^2(x)\)
Now we have:
\(cos^2(x) = (1 + cos(2x))/2\)
Thus,
\(cos^4(x) = (1 + cos(2x))/2)^2\)
Now multiplying by 5:
\(5cos^4(x) = 5(1 + cos(2x))^{2/4}\)
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for each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy the given solution set.
Answers
An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:
Example 1:
Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
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Lightfoot Inc., a software development firm, has stock outstanding as follows: 20,000 shares of cumulative preferred 2% stock, $20 par, and 25,000 shares of $100 par common. During its first four years of operations, the following amounts were distributed as dividends: first year, $3,000; second year, $5,000; third year, $34,500; fourth year, $71,000.
Answers
The amount of Dividends of $3,000, $5,000, $34,500, and $71,000 were distributed to the 20,000 preferred and 25,000 common shareholders of Lightfoot Inc. over the first four years of operations.
To calculate the dividend per share of the preferred and common stock of Lightfoot Inc., the total amount of dividends paid out over the first four years must first be determined. This can be done by adding the given amounts of $3,000, $5,000, $34,500, and $71,000 to get a total of $113,500. To find the dividend per share for the preferred stock, the total dividend is divided by the number of shares (20,000) which gives a dividend per share of $5.68. To find the dividend per share for the common stock, the total dividend is divided by the number of shares (25,000) which gives a dividend per share of $4.54.
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Help pls I really need help
Answers
The functions for this problem are classified as follows:
a) q(x) is an odd function.
b) r(x) is an even function.
What are even and odd functions?In even functions, we have that the statement f(x) = f(-x) is true for all values of x. -> meaning that r(x) is an even function.In odd functions, we have that the statement f(-x) = -f(x) is true for all values of x. 0> meaning that q(x) is an odd function.If none of the above statements are true for all values of x, the function is neither even nor odd.More can be learned about odd and even functions at https://brainly.com/question/2284364
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100 its + brainliest Halp! plz dont take points this isn't free :(((( plz answer em'
Answers
Answer:
For #1, system of equations is 3m + 2c = 52, 4c + 3m = 68. m is the cost of one movie, c is the cost of one CD. One CD costs $8, one movie costs $12.
For #2, The cost of one burger and one hotdog is b = 0.75, h = 0.90. 4 burgers would be $3, 4 hotdogs would be $3.60.
For #3 the answer is 19:30, Horatio has 30 games, Preston has 19.
I can't get number 4, srry
Step-by-step explanation:
Answer:
System of equations is 3m + 2c = 52, 4c + 3m = 68. m is the cost of one movie, c is the cost of one CD. One CD costs $8, one movie costs $12.
The cost of one burger and one hotdog is b = 0.75, h = 0.90. 4 burgers would be $3, 4 hotdogs would be $3.60.
ANswer is 19:30, Horatio has 30 games, Preston has 19.
Step-by-step explanation:
I NEED HELP ON THIS FAST!!!!!!!
A pediatrician was interested in the weights of all 14-year-olds in the state of Texas to determine outliers in the data. She gathered data from a random sample of 2,000 pediatricians in the state and wanted to create an appropriate graphical representation for the data.
Which graphical representation would be best for her data?
Bar graph
Circle graph
Histogram
Stem-and leaf plot
Answers
Answer: The answer is Histogram!
Step-by-step explanation:
Answer:
Histogram is the answer
Step-by-step explanation:
Kayden wants to ride his bicycle 29.5 miles this week. He has already ridden 13 miles.
If he rides for 3 more days, write and solve an equation which can be used to
determine m, the average number of miles he would have to ride each day to meet his
goal.
Answers
Answer:
5.5
Step-by-step explanation:
29.5-13=16.5 16.5÷3=5.5
82°
118°
95°
X°
Image not to scale
Calculate the missing angle x.
Answers
Answer:
x = 65
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the angles and equate to 360
x + 95 + 118 + 82 = 360
x + 295 = 360 ( subtract 295 from both sides )
x = 65
QUIZ
Multiplying with Fractions
Which expression is represented by this model?
01/1
0 + x ² = 1/2
• 3 x 4 = 16
↑
-1
2
3
4
5
6
Answers
Answer:
The model represents the equation "0 + x² = 1/2", which is not directly related to multiplying with fractions.