Answers
The domain of a function is the x-values that the graph applies to. This means that the domain is whatever x-values the graph crosses. All vertical parabolas (like the one pictured) have a domain of all reals. This is because any x-value could be plugged into the function and provide a y-value. while it may not seem like it, that graph will cover every single x-value in existence.
Domain = All realsB. Range
The range is similar to the domain but is for y-values. So, the range is whatever y-values the graph applies to and crosses. As you can see from the graph, there are no y-values above 1. This means the range is y≤1.
Range = y ≤ 1C. Increasing Interval
A graph is increasing when the y-values are increasing. So, on the parent function of a parabola, the graph increases to the right and decreases to the left. However, this graph is inverted and shifted to the left, so the interval will also be flipped and shifted. In this case, the graph increases from -∞ to 2.
Increasing Interval = [-∞, 2]D. Decreasing Interval
The decreasing interval is very similar to the increasing interval. This interval applies when the y-values are decreasing as the x-values increase. For a parabola, the increasing and decreasing intervals always meet at the x-value of the vertex, which is 2 on this graph. The y-values decrease during the interval 2 to ∞.
Decreasing Interval = [2, ∞]E. Opening
The direction of a parabola is decided by the sign (+ or -) of the leading coefficient. Positive coefficients open up and negative opens down. As you can see from the graph, the sides of the parabola point downwards. This means that the leading coefficient must be negative.
Opening = DownF. Min and Max
A parabola will always only have a min or a max, never both. If a graph opens up it has a min because there is one y-value which is the minimum possible y-value. Graphs that open downwards have a maximum because there is one y-value that is the largest possible. So, this graph has a maximum of 1 because that is the largest possible y-value.
Max = 1Related Questions
Farmer Alice has a fruit stand at the farmer's market.
She has a total of 80 pieces of fruit.
Of the fruit, 20 pieces are apples. 1/5 are peaches.
The rest are oranges.
What fraction of the fruit are oranges?
Give your answer in simplest form.
Answers
80-20=40
1/5 of 40 =8
80-48=32
32 oranges
A projectile is shot upward from the surface of Earth with an initial velocity of 89 meters per second. Use the position function below for free-falling objects. What is its velocity after 4
seconds? After 10 seconds? (Round your answers to one decimal place.)
Answers
Answer:
300 ft for 4 seconds and 10 feet for 10 seconds
Step-by-step explanation:
Which statements are true about exponential functions? Check all that apply.
Answers
Answer:
The answer is A
Step-by-step explanation:
its a multiple answer choice. so A , D
In which of the following do you expect the correlation coefficient to be negative?
Answers
Answer: A????????????
Step-by-step explanation:
you need to show the following
(2x)(2x)=(x+10)(2x-3) what is x?
Answers
Answer:
x = 5/2 or x = 6
Step-by-step explanation:
(2x)(2x)=(x+10)(2x-3)
4x^2 = 2x^2 - 3x + 20x - 30
2x^2 - 17x + 30 = 0
(2x - 5)(x - 6) = 0
x = 5/2 or x = 6
Is 15 cm greater than or less than 150 mm
Answers
Answer:
Those are the same measurment!
Step-by-step explanation:
Conversion:
Conversion is 1cm=10mm
cedric's fish tank is 2yd long by 21in wide by 3ft tall. What is the volume of Cedric's take in cubic in?
Answers
Answer:
129 cubic inches
Step-by-step explanation:
lxwxh L=Length W=Width H= Height
Length times width times height gives you the volume
1. convert all numbers to inches
2. Multiply them together(order does not matter)
Write down the next two terms in the sequence: 3, 15, 75 , ___, ___
answer pleass
I need it now
☹️
Answers
Answer:
375, 1875,
Step-by-step explanation:
hope this helps :)
The solid below is made from 1 meter cubes.
Find its surface area.
Please help guys!
Answers
Answer:
The Answer is 8m square
Step-by-step explanation:
2m is the width
4m is the length
Answer:
52m²
Step-by-step explanation:
First since its only showing the front, top, and right side of the shape you count up all of the cubes you see.
Amount of cubes on each side:
Front: 6 cubes
Top: 8 cubes
Side: 12 cubes
6+8+12=26 cubes
But there is 6 sides total on the shape. Because we only did 3 sides, to get the final answer you multiply it by 2.
26×2=52
Final answer: 52m²
how many quarter centimeters can you get from ten centimeters?
Answers
Answer: 0.44 qtr
Step-by-step explanation:
10 centimeters to quarters = 0.44 qtr
Hadeer decides to survey a random sample of students at her school about their favorite sport. There are 800 students in her school. Which of the following sample sizes would best represent the preferences of all the students at her school?
80 students
50 students
8 students
85 students
Answers
The best representation of the preferences of all the students at her school will be 80 students.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The good maximum sample size is usually around 10% of the population, as long as this does not exceed 1000.
The sample size will be calculated as:-
= 10 % of 800
= 800 x 0.1 = 80 students
Therefore the best representation of the preferences of all the students at her school will be 80 students.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ1
find the area of circle AOB 60 degrees and radius 7
Answers
Answer:
Solution: The radius of the circle is 7 inches and the angle is 60°. So, let us use the area of sector formula. The area of sector = (θ/360°) × π r2 = (60°/360°) × (22/7) × 72 = 77/3 = 25.67 square units.
Step-by-step explanation:
yan po ang sagot.
Gravity is one of the four fundemental forces in the universe. Electromagnetism is another one. The Other two are the strong force and the weak force that happen at the subotamic level. Find some information on what role these two forces play inside each atom and why one is considered strong and the other weak
Answers
Answer:
gravity is the force that helps u stay on the earth
What is the approximate value of x in the equation below? log Subscript 5 Baseline 15 = x + 3
Answers
Which equation represents the slope-intercept form of the line below?
y-intercept = (0,-5)
1
slope F 4
O A. y=-X+5
© B. y= -x-5
O C. y= 5x- 4
O D. y= 5x+ g
Answers
Answer:
B.
Step-by-step explanation:
1) if s-slope and i-interception of the equation y=sx+i, then
2) the required equation is
[tex]y=\frac{1}{4}x -5.[/tex]
3) correct answer is B.
Rachel bought a suit on sale for $268. This price was 33% less than the original price. What was the original price?
Answers
Answer:
$356.44
Step-by-step explanation:
help me i need your help
Answers
Answer:
44°
Step-by-step explanation:
180° - 68° = 112° (Angle 1)
The sum of the angles of a triangle is equal to 180°, so:
180° - 112° - 24° = 44°
What is the product of the fraction below (3/x+2) (7/2x)
Answers
Answer:21x^2+14x over 2
Step-by-step explanation:
Given the two similar flags shown,find the perimeter of the larger flag
Answers
The sum of the external side of a figure is its perimeter. the perimeter of the larger flag is 48
Similar shapesShapes are known to be similar if the ratioof their similar sides is equal to a constant.
From the given diagram, find the scale factor of the large triangle
k = 12/4
k = 3
Determine the perimeter of the large flag
Perimeter = 3 * perimeter of small flag
Perimeter of large flag = 3 * 16 = 48
Hence the perimeter of the larger flag is 48
Learn more on similar shapes here: https://brainly.com/question/2644832
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Find the LCD of the rational expressions in the list
Answers
Answer:
30
Step-by-step explanation:
what number does 7 multiply by that also can be multiplied by 5? 30 is the least common denominator between 7 and 5.
Find the area of the composite figure. First, find the area of the triangle.
Please help acellus sucks
Answers
Step-by-step explanation:
Rectangle area= 40×30= 1200cm²
Triangle area= 20×20= 400cm²
Total are of composite figure= 1200+400=1600cm²
please help me in this question please
Answers
Step-by-step explanation:
here is your answer, this is how you do it
Answer:
[tex]\boxed{\bf G. \: x = {25}^{o}} [/tex]
[tex]\boxed{\bf H. \: x = {20}^{o} }[/tex]
Step-by-step explanation:
In the given figure, the linear pairs are supplementary angles, meaning they should add up to 180°.
G)
[tex]\bf 2x + 34 + x + 71 = 18 {0}^{o} [/tex][tex]\bf 3x + 105 = 18 {0}^{o} [/tex][tex]\bf 3x = 180 - 105[/tex][tex]3x = 75[/tex][tex]\boxed{\bf x = {25}^{o} }[/tex]H)
[tex]\bf 2x + 4x + 3x = {180}^{o} [/tex][tex]\bf 9x = 180[/tex][tex]\boxed{\bf x = {20}^{o} }[/tex]«••••••••••••»«•••••••••••••»
A circle has a radius of 15 inches. What is the area, in square inches, of this circle?
(The area of a circle with a radius of r is equal to are.)
Answers
Answer:
[tex]A=225\pi[/tex]
Explanation:
Calculate the area of circle:
Answer: [tex]A=225\pi[/tex]
What is the value of the expression (8^2/3)^1/2
Answers
[tex]\left( 8^{\frac{2}{3}} \right)^{\frac{1}{2}}\implies \left( (2^3)^{\frac{2}{3}} \right)^{\frac{1}{2}}\implies 2^{3\cdot \frac{2}{3}\cdot \frac{1}{2}}\implies 2^{\frac{1}{1}}\implies 2[/tex]
Can you please graph it? (:
Answers
Hi I need help on this I've been working on it for about 20 minutes now please help :)
Answers
Answer:
V = 4 2/3 units ^3
Step-by-step explanation:
We are given the area of the back rectangle
V = BH where B is the area of the base
V = 3 1/3 * 1 2/5
Rewriting the mixed numbers as improper fractions
V = 10/3 * 7/5
V = 70/15
Simplifying
V = 14/3
Changing back to a mixed number
V = 4 2/3 units ^3
Write the equation of a circle with center (-3, 5) and a point on the circle is (1, 8).
Equation:
Answers
Answer:
[tex](x + 3)^2 + (y - 5)^2 = 5^2[/tex]
Step-by-step explanation:
Well, the center origin of the circle is given (h,k) = (-3,5).
Point on the circle is (x,y) = (1,8)
We have to find our radius as they gave us a point. from origin to the edge of the circle.
Using the formula: (x - h)^2 + (y - k)^2 = r^2
Plug in our (h,k) = (-3,5) and (x,y) = (1,8) to solve for radius.
(x - h)^2 + (y - k)^2 = r^2
(1 - (-3))^2 + (8 - (5))^2 = r^2
(4)^2 + (3)^2 = r^2
16 + 9 = r^2
r^2 = 25
r = 5
After Halloween, Kyle had 4 3/8 bags of candy. If Kyle gives 1 7/8
bags of candy to his little brother, how many bags of candy will
he have left
Answers
Answer:
2 1/2
Step-by-step explanation:
To solve this, we subtract 1 7/8 from 4 3/8 because Kyle "gives" away his candy. The answer to this is 2 1/2.
Answer:
2.5 OR 3 1/2
Step-by-step explanation:
Well we can just do
4 and 3.8 minus 1 and 7/8
like how you would do on real problems
Do the same thing to fractions instead
Hope this helps! Im a real math expert
Tell me if anymore questions!
What is the sum of 1/2plus 1/4use fractions strip to help
Answers
Answer:
Step-by-step e6/8 or in simple terms, 3/4
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
1/2 is just 2/4
2/4+1/4 = 3/4
=)
At the start of a hike a hiker was at an elevation of -50 feet or zero represents sea level the hiker climbs at a rate of 15 feet per minute. Write an inequality that represents T the number of minutes after the start of the hike when the hikers elevation was higher than 5 feet above sea level explain or show your reasoning
Answers
See the image for a breakdown of what these terms mean/how they’re measured!
