What type of parent function is this? What is the domain and range of this function? write it in interval notation
Answers
Answer:
See below.
Step-by-step explanation:
This is a parabola. Therefore, it is a quadratic parent function. The quadratic parent function is:
[tex]f(x)=x^2[/tex]
The domain of the parent quadratic function is all real numbers.
The range of the parent quadratic function is all y-values greater than or equal to 0. From the graph, we can see that the graph never goes below 0.
So, the domain in interval notation is:
[tex](-\infty,\infty)[/tex]
And the range in interval notation is:
[tex][0,\infty)[/tex]
This is interpreted as all values greater than or equal to 0.
And we're done!
Related Questions
if gas cost $3.00 per gallon, what factors will determine how much gas you purchase?
Answers
Answer:
If you are on a budget it depends if you want to purchase $50 or another amount, while if you want to fill up the gas tank it depends on the cars' capacity. Some cars can take up to 11 gallons of gas, so if wanting to fill up the tank you would need to spend $33.
Hope this helps!
3) A gardener has 75 clients, 45% of whom are businesses. Find the number of business clients. A) 34 clients B) 41 clients C) 73 clients D) 36 clients
Answers
Answer:
A) 34 clients
Step-by-step explanation:
From the information given, to be able to determine the number of business clients you have to calculate the 45 percent of the total number of clients that is 75:
75*45%= 33.75→ 34
According to this, the answer is that the number of business clients is 34.
I need help what is 3+2x^3 when x=2
Answers
=3+2(8)
=19
Hope this can help.
Johnny's backyard measures 15. wide by 10 feet long. What is the area of Johnny's
backyard in square feet?
square feet.
Answers
Answer:
150
Step-by-step explanation:
To find the area, you have to multiply by the length and width.
L = 10
W = 15
15 x 10 = 150
Hope this helps! <3
a small submarine is at an elevation of -30 feet compared to sea level. what is its elevation after it ascends 9 feet? PLEASE HELP!!!!!!!!!!!!!!!!!!!!!! WILL GIVE BRAINLIEST AND 5 STAR TO WHOM WHO ANSWERS IT CORRECTLY!!!!!!!!!!!!!!!!!!!!!!!!!!!! NO GUESSES!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
-21 feet
Step-by-step explanation:
-30 + 9 = -21
Answer:
_______
-21 feet
_______
What is the final point of (-2,1) Up 4, right 6 then reflect across the x-axis
Answers
The ratio of yellow to blue skittles in a bag is 5:9. If there are 12 more blue skittles in the bag than yellow skittles, how many yellow skittles are in the bag?
Answers
Answer:
The number of yellow skittles in the bag is 15 yellow skittles
Step-by-step explanation:
The ratio of yellow to blue skittles in the bag is 5:9
The number of blue skittles in the bag = 12 + The number of yellow skittles in the bag
From the ratio of yellow to blue skittles in the bag, we have;
Fraction of the total skittles that are yellow = 5/(5 + 9) = 5/14
Fraction of the total skittles that are blue = 9/14
Whereby placing the number of yellow skittles as Y, and the number of blue skittles as B we have;
The number of blue skittles = Y + 12
The total number of skittles = Y + Y + 12 = 2·Y + 12
Whereby the fraction of the total skittles that are blue = 9/14, we have
9/14 × (2·Y + 12) = Y + 12
9 × (2·Y + 12) = 14 × (Y + 12)
18·Y + 108 = 14·Y + 168
18·Y - 14·Y = 168 - 108 = 60
4·Y = 60
Y = 60/4 = 15
∴ The number of yellow skittles in the bag = 15
The number of blue skittles is given as = Y + 12 = 15 + 12 = 27.
An airline charges $150 for a ticket and $20 for each bag. Which equation shows the relationship between the number of bag, b , and the total cost, c , for flying with this airline?
Answers
Answer:
c = 150 + 20b
Step-by-step explanation:
Given:
Ticket charges = $150
Each bag carry cost = $20
Find:
Relationship between bag(b) and cost(c)
Computation:
⇒ Total cost = Ticket charges + $20(number of bags)
⇒ c = 150 + 20(b)
⇒ c = 150 + 20b
What number when increased by 15% becomes 299 Please help willl mark brainest!
Answers
Let's make an equation with the information given.
A 15% increase in a number means that the number was multiplied by 1.15.
[tex]1.15x=299[/tex]
[tex]x=260[/tex]
Hope this helps.
頑張って!
Answer:
260
Step-by-step explanation:
Let's call the number x.
When x is increased by 15% it is equal to 299. The number itself is 100%, so we should multiply x by 115%. Convert 115% to a decimal. Divide 115 by 100 or move the decimal place two spots to the right.
115/100= 1.15 or 115.0 --> 11.5 --> 1.15
When x and 1.15 are multiplied they should equal 229. Set up an equation.
1.15x=229
We want to solve for x. Therefore, we must isolate x on one side of the equation. x is being multiplied by 1.15 The inverse of multiplication is division. Divide both sides of the equation by 1.15
1.15x/1.15=229/1.15
x=229/1.15
x=260
When 260 is increased by 15% the result is 299.
What percent of 2434 is 17?
a 17.0%
b 0.7%
c 14,317.6%
d 7.0%
Answers
Answer:
b.) 0.7%
best of luck!
Please help I will give brainliest
Answers
Answer:
m = 14
p = 64
n = 32
Step-by-step explanation:
11m = 154
m = [tex]\frac{154}{11}[/tex]
m = 14
180 - p = 116
180 - 116 = p <- as you noticed, the negative sign changed to a positive one, cuz p moved to the other side of the equal sign.
64 = p
n + 86 = 118
n = 118 - 86
n = 32 <- same thing happened here, except the positive changed to a negative.
|3n+2|+4=0 algebra 2
Answers
I3n+2I+4=0
3n+2+4=0
3n+2=0-4 = -4
3n+2= -4
3n= -4 - 2 = -6
3n= -6
n= -6/3
n=-2
what is the answer to a0 + (-7) = 3
Answers
Answer:
a0 = 10
Step-by-step explanation:
We simply want to isolate the variable, a0, so we can find the value in which satisfies this equation:
a0 + -7 = 3
a0 + -7 + 7 = 3 + 7
a0 = 10
Cheers.
1st answer gets brainliest what is 17/12 + 11/12
Answers
Answer:
7/3
Step-by-step explanation:
17/12+11/12
28/12
=>7/3
Which statement about sutter’s work are true?
Answers
Answer:
good question
Step-by-step explanation:
go to google i guess
Answer:
The one that was listed. Unlike the ones on this question.
Step-by-step explanation:
Have
a
good
day
:)
determine the domain and the range of the relation.
(-3,1), (4,2), (-3,6), (5,6)
Answers
Answer:
Domain (-3, 4, 5)
Range (1, 2, 6)
Step-by-step explanation:
Domain is your x so all of the values that can go into a relation or function (which is your input) are called Domain. Domain is also all of the set of elements of ordered pair ( which is the x coordinates).
Range is your y so all the values that can go into a relation or function ( which is your output) are called Range. Range is also all the set of second elements of ordered pair ( which is the y coordinates).
So, basically you just look at all the number that come first so say you have
(1,2), (2,3), (3,4)
Your first numbers to each point are (1, 2, 3) which is your Domain
then look at the second number which are (2, 3, 4) which is your Range.
Hope this helps!
two figures are similar and the scale factor is 2/3. If a side of the larger figure is 12, then the corrosponding side in the smaller figure is? 6 8 12 18
Answers
Answer:
8
Step-by-step explanation:
Since you referred to a scale factor of 2/3, and the fact that the side of the larger figure is 3, we know that the ratio of the smaller figure to the larger figure is 2/3. We can then find that the corresponding side of the smaller figure is 8.
Answer:
The guy above me is right, it is 8!
Step-by-step explanation:
I got the answer correct.
The pizza you ordered for your party has been split into 12 even slices. Every slice has either
pepperoni, chicken, or sausage. If 1/3 of the pie has pepperoni, and 2/4 of the pie has chicken, how many
SLICES of the pie have sausage?
Answers
Answer:
2 slices of pizza is sausage
Step-by-step explanation:
1/3 of pizza is 4 slices(pepperoni)
2/4 of pizza is 1/2 which is 6(chicken)
There are 12 slices in all so 12-(6+4) = 2 sausage
Given segment AC and point B that lies on AC, if AB = 9 and BC= 49, find AC
Answers
Answer:
58
Step-by-step explanation:
Let's draw this out (see attachment).
We know that since B lies on AC, we have the points in order from left to right: A, B, C.
AB = 9, which is the left portion. BC = 49, which is the right portion. Then AC is simply the sum:
AC = AB + BC = 9 + 49 = 58
The answer is thus 58.
~ an aesthetics lover
What is the product of (–0.5)(–1.2)(–5.22)?
Answers
Answer:
-31.32
Step-by-step explanation:
(–0.5)(–1.2)(–5.22)
6(-5.22)
=>-31.32
HELP ME PLEASE!!
The cross section area of a brick wall that is shaped as
right-angled triangle is 12m² and the height is 6 metre.
Calculate the gradient and the area of the slanted surface
of the stone wall.
Answers
Answer:
14.42 m²
Step-by-step explanation:
h = 6 mS = 12 m²S = 1/2bh ⇒
b = 2S/h = 2*12/6 = 4 mGradient:
√(6²+4²) = √52 = 7.21 mArea of slanted surface:
7.21 m* 2 m = 14.42 m²Answer:
14.42 m²
hope it helped:D
So this is asking me to order the numbers from least to the greatest can anybody please help me???
Answers
Answer: Open the image 1 wrote the numbers on top.
Step-by-step explanation:
If y = 21, when x = 7, find y when x = 28.
Answers
Answer:
84
Step-by-step explanation:
x=7 x=28
y=21 y=84
is simple ratio problem
Answer:
Answer: y = 21
Answer: y = 21 when x = 7
Answer: y = 21 when x = 7so x = 28
Answer: y = 21 when x = 7so x = 28 then y = 84
Answer: y = 21 when x = 7so x = 28 then y = 84Step-by-step explanation:
Answer: y = 21 when x = 7so x = 28 then y = 84Step-by-step explanation:y = 84 = 21 × 4
Answer: y = 21 when x = 7so x = 28 then y = 84Step-by-step explanation:y = 84 = 21 × 4x = 28 = 7 × 4
what is the answer (2x + 6) = c
Answers
Answer:
X=3
C=12
Step-by-step explanation:
(2x+6)=c
2x+6
x=2/6
x=3
2x3+6=c
c=12
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x= c/2-3
A book store sells 10 cookbooks, 18 novels, and 25 children's books on
Saturday. The store sells 6 cookbooks, 12 novels, and 15 children's books on
Sunday. Which ratio is the smallest?
A. Number of novels to children's books sold on Sunday
B. Number of cookbooks to novels sold on Sunday
O C. Number of cookbooks to novels sold on Saturday
D. Number of novels to children's books sold on Saturday
Answers
Answer: d
Step-by-step explanation:
A = 18:25 = 1:1.39
B = 6:12 = 1:2
C = 10:18 = 1:1.8
D = 12:15 = 1:1.25
The smallest ratio is D.
sorry if it's wrong!
Answer:
Step-by-step explanation:
if y= 1/5 when x=3, find y when x=4, given that y varies directly with x
Answers
Answer:
[tex]y = \frac{4}{15} [/tex]Step-by-step explanation:
To find y when x=4, we must first find the relationship between them
The statement
y varies directly with x is written as
[tex]y \: \: \: \alpha \: \: \: kx[/tex]where k is the constant of proportionality
From the question
when y = 1/5
x = 3
Substitute the values into the above formula and solve
That's
[tex] \frac{1}{5} = 3k \\ 15k = 1 \\ k = \frac{1}{15} [/tex]So the formula for the variation is
[tex]y = \frac{x}{15} [/tex]From the question
when x = 4
[tex]y = \frac{4}{15} [/tex]Hope this helps you
A relation is given below. {(0, 0), (2, 0.5), (4, 1), (3, 1.5), (4, 2), (5, 1.5), (6, 8)} Which ordered pair can be removed to make this relation a function? Why would removing this ordered pair make the relation a function? I have already learned that the one removed is (4,1) A relation is given below. {(0, 0), (2, 0.5), (4, 1), (3, 1.5), (4, 2), (5, 1.5), (6, 8)} Which ordered pair can be removed to make this relation a function? Why would removing this ordered pair make the relation a function? this not inout and out can not be the same
Answers
Answer:
The first one is 4,1 and then every input must be paired with exactly one output
Step-by-step explanation:
Answer:
The first one is 4,1 and then every input must be paired with exactly one output
Step-by-step explanation:
if Chicago supplies 1388.8888889 of water each second, how many ft per second
Answers
Answer:
1388.8888889
Step-by-step explanation:
First of all, this looks like a problem that is incomplete. You never gave the unit of how much water they supplied, and there is not supposed to be that many decimal places. Also, a foot is a term of measurement, not volume. However, if I assume that the unknown object supplied is cubic feet, it would be 1388.8888889 cubic feet per second.
Evaluate each expression. y − z + xz ÷ 6; use x = 3, y = 4, and z = 4
Answers
work:
4-4+3x4/6=4
can y’all please help meeeee
i would really appreciate it :)
Answers
Answer:
its 10
Step-by-step explanation:
Answer:
[tex]f^{-1}[/tex](x) = (x - 2)² - 6
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = [tex]\sqrt{x+6}[/tex] + 2 ( subtract 2 from both sides )
y - 2 = [tex]\sqrt{x+6}[/tex] ( square both sides )
(y - 2)² = x + 6 ( subtract 6 from both sides )
(y - 2)² - 6 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex](x) = (x - 2)² - 6