Use the drop-down menus to identify the values of the parabola.
Vertex = ____
Domain = {x| ____ }
Range = {y| y ≤ ____ }
Answers
The answer is
Vertex: 0,4
Domain: x is a real number
Range: 4
:D
Answer:
Vertex - (0,4)
Domain - [tex]D=[x|x\in\mathbb{R}][/tex]
Range - [tex]R=[y|y\leq 4][/tex]
Step-by-step explanation:
Given : The graph of a parabola
To find : The values of the parabola - Vertex ,Domain and Range
Solution :
To identify the vertex the given parabola given by equation
[tex]y=-x^2+4[/tex]
Vertex is given by [tex]y=a(x-h)^2+k[/tex]
where (h,k) are the vertex.
Comparing with equation,
Vertex is (h,k)=(0,4)
Domain is the set of value where function is defined.
The domain of given function is all real numbers.
[tex]D=[x|x\in\mathbb{R}][/tex]
Range is the set of value that corresponds to the domain.
[tex]R=[y|y\leq 4][/tex]
Related Questions
Is the square root of 2,500 irrational or rational
Answers
Hurry Please!!!! IF ANSWER WILL MAKE BRAINIEST ANSWER
Which expression is equivalent to
Answers
1st: x⁴/³ . x²/³ = x⁴/³ ⁺²/³ = x⁶/³ = x² (Remember xᵃ . xᵇ = xᵃ⁺ᵇ)
2nd: (x²)¹/³ = x²/³ (Remember (aᵃ)ᵇ = aᵃᵇ)
Answer: x²/³
You have 128 ounces of milk and drink 16 ounces per day. What algebraic expression models the amount of milk you have? Let x equal the amount of days
Answers
this basically states that u start with 128 oz....and u drink 16 oz for x number of days
The algebraic expression that the amount of milk has will be 128 - 16x.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given,
Total milk = 128 ounces
Rate of drinking milk = 16 ounces/day
x equal the number of days
Then,
Amount remaining = 128 - 16x
Hence, The algebraic expression that the amount of milk has will be 128 - 16x.
To learn more about expression
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За 7 кг груш заплатили 525 руб. Сколько рублей следует заплатить за 4,6 кг груш?
Answers
Answer: 345 руб.
Step-by-step explanation:
525 : 7 = 75 (руб.) - стоимость 1 кг груш.
4,6 * 75 = 345 (руб.) - следует заплатить за 4,6 кг груш.
To find out how much to pay for 4.6 kg of pears, calculate the price per kilogram from the given 7 kg cost (525 rubles) and multiply by 4.6 kg, resulting in a price of 345 rubles for 4.6 kg.
Explanation:The cost for 7 kg of pears is 525 rubles. To determine how much one should pay for 4.6 kg of pears, we use a simple proportion based on the principle that the price per kilogram remains constant.
First, we find the price per kilogram by dividing the total cost by the weight:
Price per kilogram = Total cost / Total weight in kgPrice per kilogram = 525 rubles / 7 kg = 75 rubles/kgNow, we multiply the price per kilogram by the desired weight to get the total cost for 4.6 kg:
Total cost for 4.6 kg = Price per kilogram * Weight of the pearsTotal cost for 4.6 kg = 75 rubles/kg * 4.6 kg = 345 rublesTherefore, one would need to pay 345 rubles for 4.6 kg of pears.
On average nick walks 18000 steps every day he walks 1 mile every 3500 steps work out an estimate for the average distance in miles that nick walks in one year
Answers
[tex] \frac{18000}{3500} =5.14miles[/tex]
Now that we know he walks 5.14 miles per-day we would multiply that by the number of days in a year, or 365.
[tex]5.14 *365=1846[/tex]
So Nick walks about 1,846 miles in one year.
Final answer:
To find the average distance Nick walks in a year, divide 18,000 steps by 3,500 steps per mile to get 5.14 miles per day, and then multiply by 365 days to estimate around 1,876.1 miles annually.
Explanation:
To estimate the average distance in miles that Nick walks in one year, we need to start with the information that Nick walks 18,000 steps every day and that he walks 1 mile every 3,500 steps. First, we need to calculate the number of miles Nick walks each day by dividing the total daily steps by the number of steps per mile:
Daily miles = 18,000 steps/day ÷ 3,500 steps/mile = 5.14 miles/day (rounded to two decimal places)
Next, we will calculate Nick's annual walking distance by multiplying the miles per day by the number of days in a year (365):
Annual distance = 5.14 miles/day × 365 days/year = 1,876.1 miles/year (rounded to one decimal place)
Therefore, we can estimate that Nick walks approximately 1,876.1 miles in one year.
I need help with questions 26 and 27!! Please
Answers
27. 7.15
Which is the answer to your problem
Arthro is making 5 pounds of snack mix from raisins and almonds. the raisins cost $3 per pound, and the almonds cost $8 per pound. he wants the cost of the snack mix to be $6.50 per pound. how many pounds of each item should he use?
Answers
Let r = pounds of raisins
and a = pounds of almonds
We know that r + a = 5. this is our first equation
The second one is more tricky, 3r + 8a = 6.5*5
Now solve:
r = 5 - a
3(5 - a) + 8a = 6.5*5
15 - 3a + 8a = 32.5
5a = 17.5
a = 3.5
r = 5 - 3.5
r = 1.5
He should use 3.5 pounds of almonds and 1.5 pound of raisins
Write the number 498,416 in words.
A. Four hundred ninety-eight billion four hundred sixteen.
B.Four hundred ninety-eight million four hundred six.
C.Four hundred ninety-eight thousand four hundred sixteen.
D. Four hundred ninety-eight sixteen.
Answers
The number do not go to millions or billions so those arent correct.
Then we know that the number is in the hundred thousands so the only logical answer would be c.
Hope this helps.
A state auto-inspection station has two inspection teams. team 1 is lenient and passes all automobiles of a recent vintage; team 2 rejects all autos on a first inspection because their “headlights are not properly adjusted.” four unsuspecting drivers take their autos to the station for inspection on four different days and randomly select one of the two teams. a if all four cars are new and in excellent condition, what is the probability that three of the four will be rejected? b what is the probability that all four will pass?
Answers
Thus, P(passing) = 1/2
P(rejection) = 1/2
Part A:
The probability that three of the four will be rejected is given by
[tex]P(RRRP)=\ ^4C_3\times\left( \frac{1}{2} \right)^3\times\left( \frac{1}{2} \right) \\ \\ =4\times \frac{1}{8}\times \frac{1}{2} =\frac{1}{4}=25\%[/tex]
Part B:
The probability that all four will pass is given by
[tex]P(PPPP)=\ ^4C_4\times\left( \frac{1}{2} \right)^4\\ \\ =1\times \frac{1}{16} =\frac{1}{16}=6.25\%[/tex]
You have purchased a 42 inch television with an aspect ratio of 16:9. You want to watch a movie which has an aspect ratio of 1.85:1. Find the following measurements & show all work: 1. Height of the television screen 2. Width of the television screen 3. Height of the black bars at the top and bottom of the screen. 4. Percent of the area of the television screen that is covered by the image.
Answers
The TV's width and height are approximately 36.61 inches and 20.55 inches respectively. The black bar's height is approximately 1.29 inches each. The movie covers almost 87.4% of the TV's screen area.
Explanation:This question involves the use of ratios and some geometry. Your TV's aspect ratio of 16:9 essentially means the width is 16 parts and the height is 9 parts. And, the total diagonal is given 42 inches.
1. Using Pythagorean theorem a² + b² = c² where c is the hypotenuse (diagonal), the width and height of the TV can be found: height(h)= ratio_height * √(c²/(ratio_width² + ratio_height²)) = 9 * √(42²/(16² + 9²)) ≈ 20.55 inches.
2. Similarly for width(w): w= ratio_width * √(c²/(ratio_width² + ratio_height²)) ≈ 36.61 inches.
3. The movie's aspect ratio is 1.85:1. The height of the black bars can be calculated using ratio of the heights of the movie and the TV: black bar height= (h - w/1.85) / 2 ≈ 1.29 inches. This height is subtracted from the TV's height because the movie with ratio 1.85:1 is wider than 16:9 TV.
4. The percentage coverage is given by (w * (h - 2* black bar height)) / (w * h) ≈ 0.874 or 87.4%
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Can yall show work i need help quick
Answers
What is 625 written as a single power number of 5
Answers
I mean 5⁴ = 625
Hence, the answer is 5⁴.
Nate solves the problem 3*5=15 by writing and solving 15÷5=3. Explain why Nate's method works
Answers
multiplication and division are the inverse of each other.
A person is to install five devices each 6 7/8 inches wide with 3 1/2 inches between switches. how much space will be needed to mount these switches?
Answers
w = 6 7/8 in = 6.875 in, the width of each device.
d = 3 1/2 in = 3.50 in, the space between teo devices.
The total space needed is
D = 4(w+d) + w
= 5w + 4d
= 5*6875 + 4*3.5
D = 48.375 in or 48 3/8 in
Answer: 48 3/8 inches or 48.375 inches
The exact times, in seconds, of four sprinters from a school track meet are as follows: Sprinter Sprinter A Sprinter B Sprinter C Sprinter D Time 132.38 132.31 132.29 132.25 If the stopwatch used was precise only to the tenths place, which sprinter's time is different from the others? Your answer: Sprinter A Sprinter B Sprinter C Sprinter D
Answers
Answer:
a. Sprinter A
Step-by-step explanation:
it rounds to 132.40 and B-D round to 132.30
Simplify the expression to a+bi form (-11+6i)-(8-5i)
Answers
When subtracting integers the subtraction sign becomes addition and the integers in the second set become their opposites therefore; the equation would change to: (-11 + 6i) + (-8 + 5i) = Combine like terms:
(-11 + -8) + (6i + 5i) =
(-19) + (11i) = -19 + 11i
In the typing world 80 words per minute is considered acceptable how many words per 30 minutes is this
Answers
30 minutes
80 x 30 = 2400
IF they stay at a constant rate of 80 words for all of the 30 minutes, (and without messing up), they would have 2400 words typed in 30 min
hope this helps
a mathematician states that her children's ages are all prime numbers that multiply together to give 7,429. she also says that two of her children are teenagers. how many children does she have?
Answers
Find the missing measure for a right circular cone given the following information. Find r if T.A. = 12pi and L.A. = 8pi
Answers
pi r^2 = 4 pi where r is radius of base.
r^2 = 4
so r = 2 Answer
Answer:
r = 2 units
Step-by-step explanation:
Total area(T.A) of the circular cone is given by:
[tex]\text{T.A} =\pi r^2+ \pi r\sqrt{r^2+h^2}[/tex]
Lateral surface area(L.A) of the circular cone:
[tex]\text{L.A} = \pi r\sqrt{r^2+h^2}[/tex]
where
r is the radius and h is the height of the circular cone.
As per the statement:
[tex]T.A = 12 \pi[/tex] and [tex]L.A = 8 \pi[/tex]
then;
[tex]T.A -L.A = \pi r^2+ \pi r\sqrt{r^2+h^2}-\pi r\sqrt{r^2+h^2}[/tex]
⇒[tex]12 \pi -8 \pi = \pi r^2[/tex]
⇒[tex]4 \pi =\pi r^2[/tex]
Divide both sides by [tex]\pi[/tex] we have;
[tex]4 =r^2[/tex]
or
[tex]r^2 = 4[/tex]
⇒[tex]r= \pm\sqrt{4} =\pm 2[/tex]
r cannot be in negative
⇒[tex]r = 2[/tex] units
Therefore, radius of the circular cone is, r = 2 units
A person is strolling along a moving walkway at a constant velocity of +1.00 m/s with respect to the walkway, which moves at a constant velocity of +0.50 m/s with respect to the ground. an observer on the ground is walking at a constant velocity of -0.2 m/s. what is the velocity of the person on the walkway with respect to the observer on the ground?
Answers
The velocity of the person on the walkway relative to the ground is the velocity of the walkway (relative to the ground) plus the velocity of the person relative to the walkway.
It is
1.0 + 0.5 = 1.5 m/s
The person on the ground moves at - 0.2 m/s, which is in the opposite direction to that of the walkway and the person on the walkway.
Therefore the velocity of the person on the walkway relative to the person on the ground is
105 - (-0.2) = 1.7 m/s
Answer: 1.7 m/s
One survey estimates that, on average, the retail value of a mid-sized car decreases by 8% annually. If the retail value of a car is V dollars today, which expression represents the car’s value 1 year later?
Answers
Answer: 0.92v
Step-by-step explanation:
Work out the total amount Adam earned last week
Answers
To work out the payment for the magazines, you multiply 42 and 8, which gives 366 and find 10% of that, which is £36.60
To work out the payment for the books, you multiply 14 by 15, which gives 210 and find 15% of that, which is £31.50
Then add all the amounts together
£200+ £36.60+ £31.50= £268.10
Solve the equation. 11 = –d + 15 A. 4 B. 6 C. 11 D. –4
Answers
11 = -d+15
subtract 15 from each side
-4 = -d
divide both sides by -1
d = 4
Algebra 2 please help
Answers
13 x^3-78x^2-234x
pleasa vote my answer brainliest. thanks!
In the first 3 days of class, Daunte lost 2 pencils. If Daunte keeps losing pencils at the same rate for 60 days of class, how many pencils will he lose?
Answers
:)
I need the answer for #4
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which ne is #4?
3 odd integers to = 75?
75/3 = 25
so 23 + 25 +27 = 75
9 and 3/4 as an improper fraction
Answers
take ur whole number (9) and multiply it by ur denominator (4) which gives u 36....add that to ur numerator (3)...giving u 39...now put that over ur original denominator (4)...giving u 39/4 <==
What are the real and imaginary parts of the complex number? −6−i Enter your answers in the boxes. The real part: The imaginary part:
Answers
Answer:
Real part = -6 and imaginary part = -i
Step-by-step explanation:
A complex number can be written as a + bi,
where both a and b are real numbers,
While, i is an imaginary number ( equals to √-1, because √-1 does not defined as a real number ),
The product of a real number and imaginary number is imaginary number,
∴ bi is called imaginary part of a + bi
Also, a is real number ⇒ a is real part of a + bi
Here, the given complex number,
-6-i
By comparing,
Imaginary part = -i, real part = -6.
We want to see the real and imaginary parts of a given complex number.
The real part is: -6
The imaginary part is: -1
A general complex number is written as:
z = a + b*i
Where a is the real part and b is the imaginary part.
In this case, we have the number:
z = -6 - i
We can rewrite this as:
z = -6 + (-1)*i
Then the real part is the number that is alone, in this case, -6.
The imaginary part is the coefficient that multiplies the "i", which is -1.
If you want to learn more, you can read:
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50 POINTS! PLEASE HELP!
Solve the equation with parentheses and variables on both sides of the equal sign.
5(x-4)+3x-9x=6-(2x+5)+8x
Part1: Use the distributive property to remove the parentheses.
Part2: Collect any like terms on both sides of the equation.
Part3: Bring all variable terms to one side of the equation. (Hint: Add x to both sides)
Part4: Bring all constant terms to one side. A constant term is a number without a variable. (Hint: Subtract 1 from both sides.)
Part5: Now solve the one-step equation. Show your work.
Answers
[tex]5(x-4)+3x-9x=6-2x-5+8x[/tex]
Step 2. Simplify [tex]5(x-4)+3x-9x[/tex] to [tex]5(x-4)-6x[/tex]
[tex]5(x-4)-6x=6-2x-5+8x[/tex]
Step 3. Simplify [tex]6-2x-5+8x[/tex] to [tex]1+6x[/tex]
[tex]5(x-4)-6x=1+6x[/tex]
Step 4. Expand
[tex]5x-20-6x=1+6x[/tex]
Step 5. Simplify [tex]5x-20-6x[/tex] to [tex]-x-20[/tex]
[tex]-x-20=1+6x[/tex]
Step 6. Add [tex]x[/tex] to both sides
[tex]-20=1+6x+x[/tex]
Step 7. Simplify [tex]1+6x+x[/tex] to [tex]1+7x[/tex]
[tex]-20=1+7x[/tex]
Step 8. Subtract [tex]1[/tex] from both sides
[tex]-20-1=7x[/tex]
Step 9. Simplify [tex]-20-1[/tex] to [tex]-21[/tex]
[tex]-21=7x[/tex]
Step 10. Divide both sides by [tex]7[/tex]
[tex]- \frac{21}{7} =x[/tex]
Step 11. Simplify [tex] \frac{21}{7} [/tex] to [tex]3[/tex]
[tex]-3=x[/tex]
Step 12. Switch sides
[tex]x=-3[/tex]
Done! :)
[tex]Answer:[/tex]
[tex]x = -3[/tex]
[tex]Step-by-step~explanation:[/tex]
[tex]5x-20+3x-9x=6-(2x+5)+8x[/tex]
[tex]8x-20-9x=6-(2x+5)+8x[/tex]
[tex]-x-20=6-(2x+5)+8x[/tex]
[tex]-x-20=6-2x-5+8x[/tex]
[tex]-x-20=1-2x+8x[/tex]
[tex]-x-20=1+6x[/tex]
[tex]-x-20-6x=1[/tex]
[tex]-7x-20=1[/tex]
[tex]-7x=1+20[/tex]
[tex]-7x=21[/tex]
[tex]\frac{21}{-7}[/tex]
[tex]-3[/tex]
Splane how you would decide whether the product of three numbers is positive or negative