Answers
Domain: All real numbers, or (-∞,∞) depending on how you want to write it.
Range: [-4, ∞)
Vertex: (-2, -4)
Axis of symmetry: x = -2
Interval of increase: (-2, ∞)
Interval of decrease: (-∞, -2)
Y-int: (0, 0)
X-int/Zero/Solution(s): (-4, 0) and (0, 0)
For a polynomial function like this, which is a quadratic function, the domain is always negative infinity to positive infinity, or all real numbers.
The range is the lowest y-value to the highest y-value. The lowest y-value for this is at the vertex, but the function has no upper limit for the y-value.
The vertex is the point that you can very clearly see is at the tip of the graph.
Axis of symmetry is the vertical line that splits the graph in half at the vertex.
Interval of increase is the interval x values for which the function is increasing. The function increases to the right of the vertex.
Interval of decrease is to the left of the vertex.
The y-intercept is clearly (0, 0), where the graph intersects the y-axis.
The x-intercepts are also clear, since you can see where the graph intersects the x-axis.
Related Questions
For the function y = -1+6 cos (39(x-5) (x-5), what is the minimum value?
Answers
m = 0 , b = - 1+6cos (39)...
A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor point is 23 feet less than the height of the pole. If the wire is to be 9 feet longer than the height of the pole, what is the height of the pole?
Answers
9514 1404 393
Answer:
56 feet
Step-by-step explanation:
Let x represent the height of the pole. Then the distance to the anchor point is (x-23), and the length of the wire is (x+9). The Pythagorean theorem tells you the relation between these values is ...
(x+9)² = x² +(x -23)²
0 = x² -64x +448 . . . . . subtract the left side, put in standard form
0 = (x -8)(x -56) . . . . . . factor
The solutions to the quadratic are x=8 and x=56. For our purposes, we require x > 23 so the distances are positive. That means x=56 is the solution of interest.
The pole is 56 feet tall.
What is the profit percent of a shopkeeper buys a footballer of $12 and sells it for $15
Answers
Answer:
25%
Explanation:
the profit made by the shopkeeper would be the difference between the selling price and cost price, which can be found using the equation $15 - $12 = $3.
now, we can find the profit percent using the difference ($3) and the cost price ($12):
$3 ÷ $12 × 100% = 25% (since $3 is 25% of $12, so the $3 increase in price is a 25% increase)
i hope this helps! :D
Plzzzz answer fast......
Answers
Answer: (d)
Step-by-step explanation:
Given
XYZA is a rhombus and side XY is 8 units
We know, In a rhombus
All sides are equalsDiagonals bisect each other perpendicularlyUsing the above property, we can write
[tex]XY=ZA=8\ \text{units}[/tex]
Thus, option (d) is correct.
The following table shows the values of y for different values of x:
x y
0 0
1 0
2 4
Which statement best explains whether the table represents a linear function or a non-linear function?
It represents a linear function because its points are on a straight line.
It represents a linear function because its points are not on a straight line.
It represents a nonlinear function because its points are on a straight line.
It represents a nonlinear function because its points are not on a straight line.
Answers
Answer:
I believe it is D
Step-by-step explanation:
Not 100% dont trust double check
ANSWER AND STEPS PLEASE
A container that holds wheat is shaped like a cone. The diameter of the base of the container is 21 and 3/4 feet, and the height of the container is 10.3 feet.
Which measurement is closest to the volume of the container in cubic feet?
Answer choices:
A. 15,307.55 ft3
B. 1,275.63 ft3
C. 5,102.52 ft3
D. 3,826.89 ft3
Answers
Answer:
answer is b.
Step-by-step explanation: use formula
V=1/3(hπr²)
so using this formula gives us 1275.62897 but rounded off gives us 1,275.63 ft3
3. Figure ABCD Shown below is
made up of a semlore and a
rectangle. O is the contre of the
line DC
(Use
- )
10 cm
Calculate the area of
anglo AOB
Answers
Answer:
In a rectangle ABCD of 3 mx 4 m, starting from A and D, along the sides AB and DC after every 30 cm, a square shape of 10 cm is taken out as shown below. What will be the perimeter (in cm)
Step-by-step explanation:
12 CM And 300 CM is the answer
plsss help with this question pls with whole procedure pls help
Answers
i hope this helps.......
What is the area of the figure on the coordinate plane below?
Answers
Answer:
-79
Step-by-step explanation:
A magician is filling his underwater escape tank with water. It is being filled by two water hoses. Hose 1 can fill the tank in 4 hours, while both hoses together can fill the tank in 2 hours. How long does it take to fill the underwater escape tank tank using only hose 2? type just the number no words
Answers
Answer:
4 hours
Step-by-step explanation:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/e/volume_with_fractions?modal=1
Answers
???? Do we go to that website to answer the question? I’m lost
Use context clues to choose the correct meaning of the italicized word.
Mother asked Mary Jo to care for the baby.
be worried about
pay attention
to take charge of
Answers
Answer:
A.
Step-by-step explanation:
differentiate with respect to x:y= sinh^-1(x^2+1)
Answers
Answer:
The first derivative of [tex]y = \sinh^{-1} (x^{2}+1)[/tex] is [tex]y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}[/tex].
Step-by-step explanation:
We proceed to find the first derivative of [tex]y = \sinh^{-1} (x^{2}+1)[/tex] by explicit differentiation and rule of chain:
[tex]y = \sinh^{-1} (x^{2}+1)[/tex]
[tex]y' = \frac{2\cdot x}{\sqrt{(x^{2}+1)^{2}+1}}[/tex]
[tex]y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}[/tex]
The first derivative of [tex]y = \sinh^{-1} (x^{2}+1)[/tex] is [tex]y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}[/tex].
4. Samara's monthly taxable income was $3276.54. If she paid $757.24 in taxes, what
percentage of her taxable income did she pay?
Answers
Answer:
23.1%
Step-by-step explanation:
Given data
monthly taxable income was $3276.54
Tax= $757.24
Percentage of tax paid= tax paid/monthly income* 100
Percentage of tax paid=757.24/3276.54* 100
Percentage of tax paid=0.231* 100
Percentage of tax paid=23.1%
The fourth grade classes are painting designs on tile
squares to make a mural. Mrs. Kirk's class painted 3/10
of the mural. Mr. Becker's class painted 21/100 of the
mural. What part of the mural is painted?
You know how to add fractions with parts that are the
same size. You can use equivalent fractions to add
fractions with parts that are not the same size.
Example 1 Find o + 700
STEP I Write to and 200 as a pair of fractions STEP 2 Add
with a common denominator.
Think: Write using fractions with a common
Think: 100 multiple of 10 ose 100
denominator
the common denominator
30 21
Thinkt already
3 3 x
has 100 in the
100 100 100
10
100 denominator
+
Do
10x
Math
Talk
So
of the mural is painted.
100
MATHEMATICAL PRACTICES
Draw Conclusions When adding
tenths and hundredths, can you
100common
Answers
Answer:
51/100
Step-by-step explanation:
A square has an area of 100 square meters.
What is the perimeter of the square?
Answers
Answer:
40 square meters
Step-by-step explanation:
Perimeter means to add up all sides.
area means one side times one side
10 times 10 makes 100 so i am guessing each side is 10
10 + 10 + 10 + 10 = 40
Find the distance between the points (-4,-5) and (3, -1).
✓17
37
65
Answers
Answer:
3.16
Step-by-step explanation:
Given data
points (-4,-5) and (3, -1)
x1=-4
y1=-5
x2=3
y2=-2
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((3-4)²+(-2-(-5))²)
d=√((-1)²+(-2+5)²)
d=√1+(3)²
d=√1+9
d=√10
d=3.16
Hence the distance is 3.16
product is to multiplications as quotient is to
Answers
What is the volume of the fish tank if the base is 4 feet, the width is 2 feet, and
the height is 3 feet? Be sure to label your units.
Answers
Answer:
24 ft³
Step-by-step explanation:
The volume formula for a rectangular prism is ...
V = LWH
V = (4 ft)(2 ft)(3 ft) = 24 ft³
The volume of the fish tank is 24 cubic feet.
PLZ ANSWER, 8 POINTS
Answers
Explanation: Set your percentage up as a fraction
26/100
Simplify
13/50
Hope this helps ;)
433.54 in terms of pi
Answers
Answer:
138.0700636942675[tex]\pi[/tex]
Step-by-step explanation:
Is the answer
433.54 x π/180.
Joey is buying a new flat screen TV for $359.99. Sales tax in Jeoy's state is 8.25%. Calculate the amount of sales tax that Jeoy will pay for the purchase
Answers
Answer: 389.69
Step-by-step explanation:
Answer: $29.70
Step-by-step explanation:
total x tax rate= 359.99 x 8.25 = 2969.92
divide by 100% = $29.70
sales tax total: $29.70
First answer gets brainest. 8th grade math root question
Answers
Answer:
9
Step-by-step explanation:
Answer: 9
Step-by-step explanation:
Square Rooting is basically going down to the origins of the number, trying to figure out what times (x) would give you your current number. In order it get 81, you would need to do 9*9, therefore making the square root 9
Kate is building with blocks. She needs to build a rectangular prism that is 4 meters long by 3 meters wide by 112 meters high. She is building with cubes that have side lengths of 12 meter. What is the volume of the box she needs to build in cubic meters?
Answers
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Answer:
1344 cubic meters
Step-by-step explanation:
The volume is the product of the dimensions for a rectangular prism:
V = LWH
V = (4 m)(3 m)(112 m) = 1344 m³
Kate needs a volume of 1344 cubic meters.
A rocket is launched vertically from the ground with an initial velocity of 64 ft/sec. A) Write a quadratic function h(t) that shows the height, in feet, of the rocket t seconds after it was launched. B) Graph h (t) on the coordinate plane. C) Use your graph from Part 3 (b) to determine the rocket's maximum height, the amount of time it took to reach its maximum height, and the amount of time it was in the air. ( Answer options A,B,C) Please don't answer if you don't know how to) Will Mark Brainliest.
Answers
The calculated quadratic function for the height of the rocket is "[tex]h = 64t - 16.085t^2[/tex]" and the further calculation of the given points can be defined as follows:
For point A):
Calculation of the quadratic function:Rocket Initial velocity (u) [tex]= 64 \ \frac{feet}{sec}[/tex]
Considering gravity's acceleration of 32.17 feet/sec2
The rocket's height can be expressed as follows:
[tex]h = ut - \frac{1}{2} \times 32.17 \times t^2 \\\\h = 64 - 16.085 \times t^2 \\\\h = 64t - 16.085t^2[/tex]
For point B):
A y-axis indicates its rocket's height in feet, whereas the x-axis represents the duration in seconds.
Please find the attached file.
For point C):
As seen in the graph, after t = 1.989 seconds, the rocket reaches its highest height of 63.662 feet.maximum height = 63.66 feet, time t = 2 seconds. After 3.979 seconds, the rocket's height returned to zero.It would be in the air for 3.979 seconds. The rocket lingered in the air for 4 seconds.
Find out more information about the velocity here:
brainly.com/question/25749514
Mr. Taylor arranges some chairs in rows. He puts the same number of chairs in each of the 7 rows and puts 7 chairs in the last row. He sets up 70 chairs. How many chairs does he pt in each of the 7 equal rows?
Choose the equation that can be used to solve the problem.
(7xc) +7=70
(70/7) +7=C
(7xc)-7=70
Answers
Answer:
The first one
Step-by-step explanation:
We need to find out how much chairs there are in each of the 7 rows, so we put it as 7c. The last row has 7 chairs, so we use an addition sign to include that. Since there are 70 chairs in total, the sum is 70.
Hope this helps!
During a certain epidemic, the number of people that are
infected at any time increases at a rate proportional to the
number of people that are infected at that time. If 1,000 people
are infected when the epidemic is first discovered, and 1,200
are infected 7 days later, how many people are infected 12 days
after the epidemic is first discovered?
Answers
9514 1404 393
Answer:
1367 people
Step-by-step explanation:
The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...
i(t) = 1000(1.2^(t/7))
After 12 days, the number infected is modeled as ...
i(12) = 1000(1.2^(12/7)) ≈ 1367
About 1367 people are infected 12 days after discovery.
A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
11 yd
13 yd
4 yd
6 yd
Answers
Answer:
34 yd²
Step-by-step explanation:
Area of the shaded region = area of the outer rectangle - area of the inner rectangle
Area of outer rectangle = L*W = 13*6 = 78 yd²
Area of inner rectangle = L*W = 11*4 = 44 yd²
Area of the shaded region = 78 - 44 = 34 yd²
Figure A ~ Figure B
Figure A
R = 4 ft
Figure B
R = 2 ft
V = 352 cu ft
Find the volume of Figure B.
Help please!!
Answers
The volume of figure B that is similar to figure A is: 44 cu. ft.
How to Find the Volume of Similar Figures?If the volumes of two figures are A and B respectively, and their radius is a and b respectively, then, Volume of A/volume of B = a³/b³.
Given that figures A and B are similar, we would have the following ratio:
352/volume of B = 4³/2³
352/volume of B = 64/8
352/volume of B = 8
Volume of B = 352/8
Volume of B = 44 cu. ft.
Learn more about the volume of similar figures on:
https://brainly.com/question/4315286
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Element X is a radioactive isotope such that every 11 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 60 grams, how much of the element would remain after 25 years, to the nearest whole number?
Answers
Answer:
Ending Amount = beginning amount / 2^n where "n" is the number of half-lives or elapsed time / half-life
For this problem "n" = 25 / 11 = 2.2727272727
Ending Amount = 60 grams / 2^2.2727272
Ending Amount = 60 / 4.832357534
Ending Amount = 12.4162998242 grams
Source: www.1728.org/halflife.htm
Step-by-step explanation:
A radionuclide is a nuclide with excessive nuclear energy, which makes it unstable. The element would remain after 25 years, to the nearest whole number is 2 grams.
What is a radioactive isotope?A radionuclide is a nuclide with excessive nuclear energy, which makes it unstable. This surplus energy can be discharged as gamma radiation from the nucleus, transferred to one of its electrons and released as a conversion electron, or used to generate and produce a new particle from the nucleus.
Given the life of radioactive material is stated by the formula,
[tex]N_t = N_o e^{-\lambda t}[/tex]
Now, given the half-life of the comes in 11 years, therefore, the rate of decay will be,
[tex]N_t = N_o e^{-\lambda t}\\\\\dfrac{N_t}{ N_o }=e^{-\lambda t}\\\\0.5 = e^{-\lambda \times 11}\\\\\dfrac{ln(0.5)}{11}=\lambda[/tex]
λ = 0.14631
Given the initial mass is 60 grams, therefore, the amount that will be remaining after 25 years will be,
[tex]N_{25} = 60 \times e^{(-0.14631\times 25)}\\\\N = 1.5474\rm\ grams \approx 2\ grams[/tex]
Hence, the element would remain after 25 years, to the nearest whole number is 2 grams.
Learn more about Radioactive Isotopes:
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