Answers
1. Axis of symmetry : x= -5 2. Axis of symmetry : x =2
Vertex: (-5, 1) Vertex: (2, 8)
Domain: (-∞, ∞) Domain (-∞, ∞)
Ranges: [1, ∞) Ranges (-∞, 8]
3. Axis of symmetry : x = 1 4. Axis of symmetry x = -4
Vertex (1, -1) Vertex = (-4 0)
Domain (-∞, ∞) Domain (-∞, ∞)
Ranges [-1, +∞) Ranges (-∞, 0]
For 4. y = -x² - 8x -16
Axis of symmetry
x = -b / (2a)
x = -(-8) / (2 × -1) = 8 / (-2) = -4
Vertex
y = -(-4)² - 8(-4) - 16
= -16 + 32 - 16
= 0 therefore Vertex is (-4, 0)
Therefore range function (-∞, ∞)
The above answers are for the questions below as seen in the picture
1) y = x² + 10x + 26 2. y = -2x² + 8x 3. y = x² - 2x
Axis of symmetry :
Vertex
Domain
Ranges
4. y = -x² - 8x -16
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Related Questions
5 cm
6 cm
13 cm
Help me find the area of this please
Answers
The area should be 47.5 CM.
Answer:
Step-by-step explanation:
The figure you see here is a trapezoid.
Area = \(\frac{(a + b)h}{2}\) = \(\frac{(6 + 13)(5)}{2}\) = \(\frac{(19)(5)}{2}\) = \(\frac{95}{2}\) = 47.5 cm
PLEASE HELP ASAP!! (Please do this if ur good at Scientific Notation) please tell me which 4 should I put in the box! (Click picture) ‼️‼️
Answers
Answer:
1st one is 6.9 X 10^6
2nd one is 2 x 10^5
Step-by-step explanation:
Help Quickly! Which survey would you expect to have fair results regarding attitudes about carnivals?
A. Do you like going to carnivals?
B. Do you like going to exciting carnivals?
C. Do you like traveling across town to go to carnivals?
D. Do you like going to noisy, overpriced carnivals?
Answers
Question A is the survey that you expect to have fair results regarding attitudes about carnivals
How to get the best survey questionThis survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.
Option B uses the adjective "exciting," which could lead people to think positively about carnivals.
Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.
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An angle measures 4 pi/5 radians. What is this angle's measure, in degrees
Answers
Answer: 144 degrees
Step-by-step explanation:
Answer:
140 edge
Step-by-step explanation:
The stem-and-leaf plot shown displays the weights, in pounds, of the dogs in an animal shelter.
What is the median weight for the dogs in the animal shelter?
A.33 pounds
B.44 pounds
C.48 pounds
D.49 pounds
Answers
Susan is planning a party. She went to Target and bought 10 cupcakes for 2.75 each, 5 gallons of ice cream for 3.50 each and a half dozen liters of coke for 1.50 each. How much did Susan spend at Target?
Answers
Solve for x.
37°
8 cm
x = [?] cm
X
Round to the nearest hundredth.
X
![Solve for x.378 cmx = [?] cmXRound to the nearest hundredth.X](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/5r3s734YNpMZhrSKBRqrQYrII2vYUjgx.png)
Answers
The measure of side length x in the right triangle is approximately 6.03 cm.
What is the measure of side length x?The figure in the image is a right triangle having one of its interior angle at 90 degrees.
From the figure:
Angle θ = 37 degrees
Adjacent to angle θ = 8 cm
Opposite to angle θ = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( θ ) = opposite / adjacent
Plug in the given values and solve for x:
tan( 37 ) = x / 8
x = tan( 37 ) × 8
x = 6.03 cm
Therefore, the value of x is 6.03 cm.
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Jared flicked the arrow on this spinner four times, and the arrow landed on green each time. If Jared spins the arrow a fifth time what is the theoretical probability that it will land on green
Answers
Answer:
The correct answer would be 3/8.
Step-by-step explanation:
There are 3 greens on this spinner , and 8 in total , so there’sa probability of 3% that the arrow will land on green again .
The theoretical probability that it will land on green is 1.
What is the probability?
It is the likeliness of happening an event. It is calculated by the following formula:
Probability=number of events/number of total events.
How to calculate the probability?
Jared had flicked the arrow all the four times on the green ,it means that the probability that it is landed on green each time is 100%. So the probability that it will land on green fifth time also is 1.
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WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!
What scale factor was applied to the first rectangle to get the resulting image?
Enter your answer as a decimal in the box.
Answers
Answer:
2.5
Step-by-step explanation:
the length has increased by 7.5/3 = 2.5.
so the scale factor is 2.5
The graph of � = ∣ � ∣ y=∣x∣y, equals, vertical bar, x, vertical bar is shifted down by 9 99 units and to the right by 4 44 units. What is the equation of the new graph? Choose 1 answer: Choose 1 answer: (Choice A) � = ∣ � − 9 ∣ − 4 y=∣x−9∣−4y, equals, vertical bar, x, minus, 9, vertical bar, minus, 4 A � = ∣ � − 9 ∣ − 4 y=∣x−9∣−4y, equals, vertical bar, x, minus, 9, vertical bar, minus, 4 (Choice B) � = ∣ � − 4 ∣ − 9 y=∣x−4∣−9y, equals, vertical bar, x, minus, 4, vertical bar, minus, 9 B � = ∣ � − 4 ∣ − 9 y=∣x−4∣−9y, equals, vertical bar, x, minus, 4, vertical bar, minus, 9 (Choice C) � = ∣ � − 4 ∣ + 9 y=∣x−4∣+9y, equals, vertical bar, x, minus, 4, vertical bar, plus, 9 C � = ∣ � − 4 ∣ + 9 y=∣x−4∣+9y, equals, vertical bar, x, minus, 4, vertical bar, plus, 9 (Choice D) � = ∣ � − 9 ∣ + 4 y=∣x−9∣+4y, equals, vertical bar, x, minus, 9, vertical bar, plus, 4 D � = ∣ � − 9 ∣ + 4 y=∣x−9∣+4
Answers
An equation of the new graph is: A. y = ∣x - 4∣ - 9.
What is a translation?In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:
g(x) = f(x - N)
Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:
g(x) = f(x) + N
Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:
y = ∣x - 4∣ - 9
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
A figure is shown, where lines CE and FD intersect at point B.
.
A figure is shown, where lines CE and FD intersect at point B.
.
Angle ABC is complementary to angle DBC.
What is the measure, in degrees of ?
Answers
Answer:
Step-by-step explanation:
Its 4.51
Please show your work and I'll mark brainliest if you do! Thank you :)
Answers
Answer:
42 cm
Step-by-step explanation:
So, the dimensions of the square are 6*6, so we can find the area of that easily. 6*6 is 36. Now, we have to find the area of the triangle. Since 6 of the 8 cm across were used for the square, we only have 2 cm left to work with. The height of the triangle is 6. The formula to find the area of a triangle is 1/2(b)h. That would mean 1/2*2, which is 1, and then 1*6, which is 6. Finally, we add the areas of both shapes, which is 6 and 36, and we get 42.
Hope this helped!
What is the value of w ?
Answers
Answer:
Step-by-step explanation:
w = 35
Find the equation of the line.
Use exact numbers.
Answers
Answer:
Step-by-step explanation:
What is the shape of the cross section formed by a plane slicing parallel to the base?
A) rectangle
B) square
C)circle
D) triangle
Answers
Answer:
triangle
Step-by-step explanation:
Answer:
triangle
Step-by-step explanation:
Layla has 25 toys in her toy box, and she adds 4 new toys every month. Based on this information, which equation best shows the relationship between the number of toys Layla has in her toy box, y, and the number of months that have passed, x?
y = 25x
y = 29x
y = 4x
y = 4x + 25
Answers
You’re multiplying 4 toys per month and adding in what you already have
What are the coordinates of the image of the point (-4,-5) after reflecting over the y-axis
Answers
So, the coordinates of the image of the point (-4,-5) after reflecting over the y-axis are:
x-coordinate: -4 (remains the same)
y-coordinate: 5 (becomes the opposite of the original y-coordinate, -5)
Therefore, the coordinates of the image are (-4, 5).
Find the point on the graph of the given function at which the slope of the tangent line is the given slope.f(x) = x³ + 12x² +57x+14; slope of the tangent line = 9The point at which the slope of the tangent line is 9 is(Simplify your answer. Type an ordered pair.)С2↑↑↑+BO-..XVVIV
Answers
We have a function:
\(f(x)=x^3+12x^2+57x+14\)We have to find the point at which the slope of the tangent line is m = 9.
The slope of the tangent line of a function at a point is given by the value of the first derivative at that point, so we start by finding the first derivative:
\(\begin{gathered} f^{\prime}(x)=3x^2+12(2x)+57(1)+14(0) \\ f^{\prime}(x)=3x^2+24x+57 \end{gathered}\)We have now to find the value of x for which this derivative is equal to 9, so we can write:
\(\begin{gathered} f^{\prime}(x)=9 \\ 3x^2+24x+57=9 \\ 3(x^2+8x+19)=3(3) \\ x^2+8x+19=3 \\ x^2+8x+19-3=0 \\ x^2+8x+16=0 \end{gathered}\)We now have to find the roots of this equation to find the solution for x:
\(\begin{gathered} x=\frac{-8\pm\sqrt{8^2-4(1)(16)}}{2(1)} \\ x=\frac{-8\pm\sqrt{64-64}}{2} \\ x=\frac{-8\pm\sqrt{0}}{2} \\ x=-4 \end{gathered}\)This slope for the tangent line only happens for the point located at x = -4.
We can find the y-coordinate as y = f(-4):
\(\begin{gathered} f(-4)=(-4)^3+12(-4)^2+57(-4)+14 \\ f(-4)=-64+12(16)-228+14 \\ f(-4)=-64+192-228+14 \\ f(-4)=-86 \end{gathered}\)We can check this solution with a graph as:
Answer:
(-4, -86)
A number is 3 1/3 greater than another. If the sum of the numbers is doubled, the result in 19 1/2. What is the smaller number?
Answers
Answer:
77/24
Step-by-step explanation:
11) Fill in the blanks using the available answer choices.
Elizabeth and Lillian have cube shaped bins to store their items on shelves. The volume of
each storage cube is 415 cubic inches. The length of each side of the cube must be between 7
and 8 inches. Elizabeth thinks the length of the side of the cube is closer to 7 inches and
Lillian thinks the length of the side of the cube is closer to 8 inches. Who is correct?
(Blank 1)options
• Elizabeth
Lillian
Answers
Elizabeth is correct as the length of the side of the cube is closer to 7 inches,
The volume of each storage cube is 415 cubic inches
The length of each side of the cube must be between 7 and 8 inches
Elizabeth thinks the length of the side of the cube is closer to 7 inches and
Lillian thinks the length of the side of the cube is closer to 8 inches
The volume of a cube is given by the formula
volume = side x side x side
415 = side³
side = ∛415 = 7.459
The length of the side of the cube is closer to 7 inches
Thus, Elizabeth is correct as the length of the side of the cube is closer to 7 inches,
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PLEASE HELP what is the measure of angle U?
A.) 35
B.) 45
C.) 100
D.) 180
Answers
In a right triangle the length of a hypotenuse is c and the length of one leg is a. Find the length of the other leg b, if:
c=5, a=3
Answers
Answer:
b=4
Step-by-step explanation:
\(a^{2}+b^{2}=c^{2}\)
\(3^{2}+b^{2}=5^{2}\)
\(9+b^{2}=25\)
\(b^{2}=16\)
\(\sqrt{b^{2}} = \sqrt{16}\)
b=4
Is -9x + 3 = -3 (3x-1) a one solution or a no solution or is it a real number
Answers
Answer: A real number.
0=0
Step-by-step explanation: −9x+3=(−3)(3x)+(−3)(−1) −9x+3+9x=−9x+3+9x 3-3=3-3 0=0
Is this one correct? Let me know please
Answers
Answer:
linear dimensions: 2 : 7areas: 4 : 49volumes: 8 : 343Step-by-step explanation:
You want the area and volume ratios when two figures have a similarity ratio of 2 : 7.
AreaThe ratio of areas is the square of the similarity ratio:
2² : 7² = 4 : 49
VolumeThe ratio of volumes is the cube of the similarity ratio:
2³ : 7³ = 8 : 343
__
Additional comment
It can help to think about the units of area and volume. For linear dimensions in inches, area dimensions are in square inches, and volume dimensions are cubic inches. Any ratio of inches will be squared when those inch dimensions are used for area, and will be cubed when volume is computed.
side length of a square or cube: smaller: 2", larger: 7"
area of the square: smaller: 2² in², larger: 7² in² or 4 in² and 49 in²
volume of the cube: smaller: 2³ in³, larger: 7³ in³ or 8 in³ and 343 in³
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HELP, ASAP PLEASE. 15 POINTS! ( Only 1 picture is attached)
Answers
The concentration of the type of antibiotic after 4 hours is; 11.04 parts per million
How to find the input values of functions?
We are told that the equation that models the concentration in parts per million of a type of antibiotic in a human's bloodstream after h hours is;
A(h) = -0.06h² + 2h + 4
where h is the time in number of hours after which the concentration is recorded.
Now, we want to find the concentration after 4 hours and as such we will input 4 for h in the equation to get;
A(4) = -0.06(4²) + 2(4) + 4
A(4) = -0.96 + 12
A(4) = 11.04 parts per million
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$5000 dollars is borrowed for 3 months at an annual interest rate of 18%. How much interest must be paid?
Answers
Answer:
Step-by-step explanation:
18:12*3=4,5
5000*4,5:100=225
5000+225=5225
Y=-x-6 with slope graph Please help me answer this
Answers
Answer: the slope of the graph is -1
Step-by-step explanation: because x has a coefficient of negative 1 but if you wanted to graph this line, you have to be careful since you go down 1 unit and right 1unit. The line is descending since it has a negative slope so technically the slope is -1/1 but we can just say it’s -1
Niko has 3 friends he gives his friends 1/4 pieces of candy each. How much does each person get?
Answers
Answer:
12
Step-by-step explanation:
In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
Answers
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
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An entertainment company is opening a theme park in a nearby city. They are in the process of designing the theatre where a water show will take place. The following design is already under construction and will house the dolphins that perform in the show:
Main Show Tank Calculation:
The main show tank has a radius of 70 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of the pool is flat. (Imagine cutting a sphere in half vertically and then cutting it in half horizontally.) What is the volume of the quarter-sphere shaped tank? Round your answer to the nearest whole number. You must explain your answer using words, and you must show all work and calculations to receive credit.
Holding Tank Calculations:
The holding tanks are congruent. Each is in the shape of a cylinder that has been cut in half vertically. The bottom of each tank is a curved surface and the top of the pool is a flat surface. What is the volume of both tanks if the radius of tank #1 is 35 feet and the height of tank #2 is 120 feet? You must explain your answer using words, and you must show all work and calculations to receive credit.
You must show all steps and provide any evidence needed in your solution to receive full credit.
The company is building a scale model of the theater’s main show tank for an investor's presentation. Each dimension will be made one sixth of the original dimension to accommodate the mock-up in the presentation room. What is the volume of the smaller mock-up tank?
Using the information from above answer the following question by filling in the blank: The volume of the original main show tank is ____% of the mock-up of the tank.
Answers
1) The volume of the quarter sphere shaped tank is; V = 20510 ft³
2) The volume of the smaller mock-up tank is; 230790 ft³
How to find the area and volume of a composite shape?1) The volume of the quarter sphere shaped tank is;
V = ⁴/₃πr²
V = ⁴/₃π * 70 * 70
V = 20510 ft³
2) We multiply dimensions by 2 not radius to make 1 whole cylinder. Thus
r = 35 feet remains the same as radius can only be half of a joined circle,
Since vertically cut, we have;
h = 125 * 2 = 250ft
Let's find the Area;
A = πr²
A = π * 35 * 35
A = Surface Area = 3846.5 ft²
Volume = Surface area * h
V = 3846.5 * 120 = 461580 combined.
For each; V = 461580/2 = 230790 ft³
3) Volume of smaller mock-up tank is;
V = (1/6) * 20510
V = 3418.33 ft³
4) 5/6 * 20510 = 17091.66 ft³
For the larger tank the increase is 17092 ft rounded up (0.165 value) of that of the smaller mock up tank. Therefore percentage is 1/6 = 16.67% and 5/6 = 83.33%
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