PLEASE HELP
A. identify the vertex
B. Identify the intercept
C. Write the equation of the graph above
D. Fill in the end behavior:
As x , y ____
As x 3, y ____
E. Identify the domain and range:
Answers
We want to identify different things on the given graph.
The solutions are:
A) (3, -1)
B) x = 4
C) x = y^2 + 2y + 4
D) x ⇒ ∞, y ⇒ ∞
x⇒3, y⇒ -1
A) The first thing we want to identify is the vertex, we could say that a vertex is a point of symmetry. (like the minimum/maximum of a parabola). Here we clearly do not have a point of symmetry, as we only have half of a parabola, but if it was a complete one, the vertex would be at the blue point, in (3, -1)
B) This is the point where the graph intercepts the x-axis, x = 4.
C) we want to write the equation, we start with the general parabola, this time as a function of y:
x = a*y^2 + b*y + c
Remember that the x-itercept is at x = 4. then c = 4.
x = a*y^2 + b*y + 4
The y-value of the vertex is -1, while the general y-value of the vertex is:
y = -b/2a = -1
And evaluating the equation in this value, gives us:
x = a*(-1)^2 + b*-1 + 4 = 3
Then we have two equations:
-b/2a = -1
a + -b + 4 = 3
We can rewrite the first one as:
-b = -2a
b = 2a
Now we can replace this on the other equation:
a - 2a + 4 =3
-a + 4 = 3
-a = 3 - 4 = -1
a = 1
And b = 2a = 2*1 = 2
Then the equation of the parabola is:
x = y^2 + 2y + 4
D) We can see that as x grows, y increases, so we can say that:
x ⇒ ∞, y ⇒ ∞
And for the other limit we can see that as x tends to 3, y tends to -1, then:
x⇒3, y⇒ -1
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Related Questions
Sheila has investments totaling $8000 in two
accounts. The savings account pays 6% interest and the
other account is in bonds paying an interest rate of
11%. If the annual interest from the two investments
totaled $780, how much did she invest in each account?
Answers
The amount she invested in each account is:
$6,000 invested at 11%
$6,000 invested at 6%
Let x represent the amount invested at 11%
Hence:
.11x+.06(8000-x)=780
.05x+480=780
Collect like terms
.05x=300
Divide both side by .05x
x=300/.05
x=$6,000
Inconclusion the amount she invested in each account is: $6,000 invested at 11% and $6,000 invested at 6%.
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A store sells bandanas for $2 each and combs for $1. Shelby buys 3 bandanas and a comb. Kendra buys 2 bandanas and 4 combs. Lucy has a "buy one get one half off" coupon, she plans on buying 4 bandanas. Find the total amount spent.
Answers
Answer:
the total cost is $21
Step-by-step explanation:
Shelby:
3 bandanas, 1 comb
3 × 2 + 1× 1
6+1= 7
kendra:
2 bandanas, 4 combs
2×2 + 4×1
4+4
=8
Lucy
4 bandanas
4×2=
8
since she has a buy 1 get 1 half off coupon
she pays full price for 2 hence 2×2= 4
half price for 2 hence 2×1 = 2
thus 4+2=6
total price= 7+8+6
= 21 dollars
I just started this chapter someone help me with these 2 questions
Answers
For the red one it’s 15
Long answer: so the way to do this is to find the ratio. So you look at the filled shape for the yellow ones case it’s the smaller one and the sides have a ratio of 9:6 or 3:2, now since on the other similar shape the 9 lines up with 21 we can divide that by 3 getting us 7 and multiply that by 2 and get 14.
For the red one it’s the same process, 8:6=4:3 so we and we divide 20 by 4 and get 5, then multiply that be 3 and get 15.
Please mark brainliest if this helps.
Please answer this question it would make my day and I’ll give brainliest! it’s a math homework question Im stuck on):
Answers
Answer:
Step-by-step explanation:
It is actually fairly simple; just multiple the percentage by the total students, 10.
Cat, Dog: 10% of 10 is 1.
Cat, No Dog: 30% of 10 is 3.
Cat Total: 1+3 = 4.
No Cat, Dog: 40% of 10 is 4.
No Cat, No Dog: 20% of 10 is 2.
No Cat Total: 4+2 = 6.
Dog Total: 4+1 = 5.
No Dog Total: 3+2 = 5.
Foundation Geometry
A. 57*
B. 90*
C.33*
D.67*
Answers
Answer:
B or D
Step-by-step explanation:
I believe the answer is B or D if it is not im am very sorry i forgot
3x - 5y = 4, -2x + 6y = 18 (system of equations)
Answers
Answer:
(x, y) = (57/4, 31/4)
Step-by-step explanation:
-2x + 6y = 18
-2x = 18 - 6y
x = -9 + 3y
3(-9 + 3y) - 5y = 4
-27 + 9y - 5y = 4
4y = 31
y = 31/4
x = -9 + 3(31/4) = 57/4
Answer:
Step-by-step explanation:
-5y=4-3x
y=(4/-5)-(3/-5x)
2x+6y=18
6y=18-2x
y=18/6-(2/6x)
y=y
(4/-5)-(3/-5x)=18/6-(2/6x)
0.93x=3.8
x=3.8/0.93
x=4.09
sub 4.09 for the 3x-5y=4
which will give you y=1.65
sub 4.09 for -2x+6y=18
which will give you y=4.36
Please help me thanks a lot
Answers
Answer:
C
Step-by-step explanation:
Plot your point at (-9,0) then draw your line with your slope (plot some other points first). Using algebra rearrange your y=mx+b formatted equation.
y=-5/3x-15, 3y = -5x - 45, 5x + 3y = -45
write the equation for the slope intercept form
Answers
Answer:
y=2/3x-1
Step-by-step explanation:
Old solve
(x ÷ 5)(x÷5)(x÷5)
Answers
Answer:
1/125(x^3)
Step-by-step explanation:
Let's simplify this expression.
[tex]\frac{x}{5} * \frac{x}{5} * \frac{x}{5}[/tex] [tex]\frac{xxx}{5*5*5}[/tex] [tex]\frac{x^3}{5*5*5}[/tex] [tex]\frac{x^3}{125}[/tex] [tex]\frac{1}{125}x^3[/tex]Therefore, the simplified answer is [tex]\frac{1}{125}x^3[/tex].
Best answer gets brainliest!
Whats the question?
The answer: Shreks Smelly Armpits
Whats the question?
Answers
Answer:Shreks smelly armpit
Step-by-step explanation:cause you wrote it??
Answer:
Shreks Smelly Armpits
Step-by-step explanation:
Question:
The Land of Duloc is having a smell test with the smeliest armpits to win. Donkeys armpits have a 7/98 stink level. Shrek has x14 smelleier armpits than donkey. Lord Farquade has the same smell level as shrek but x0. Whos armpit is the smelliest?
Solve:
Donkey: 7/98 SECOND PLACE
Shrek 7 x 14 = 98 = 98/98 FIRST PLACE
Lord Farquade: 98 x 0 = 0 THIRD PLACE
Answer: Shreks Smelly Armpits
Ruben and his friends are celebrating Ruben's birthday at Adventure Zone, which has trampolines, mini golf, laser tag, and an arcade. Ruben's mom gives 18 arcade tokens to each kid at the party. In all, she gives out 144 tokens.
Use an equation to find the number of kids at Ruben's party.
Answers
The number of kids that are at Ruben's party will be 8 kids.
Let the number of kids at the party be represented by x.Number of arcades token given to each person = 18Total number of arcade tokens given out = 144Based on the information given, the equation to solve the question will be:
18 × x = 144
18x = 144
x = 144/18
x = 8
Therefore, there are 8 kids at the party.
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The following table shows how many pizzas Dave’s pizzeria has sold each hour.
Write the slope intercept equation, and find the constant rate of change and the vertical intercept of the line. Explain how they are related to this situation.
Answers
Answer:
x=3.3333333333333333333333333333333
Multiply. (−3 1/8)⋅(1 3/5) What is the product? Enter your answer in the box.
Answers
Answer:
-5
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
11. Circle the name of the student who correctly wrote the equation modeled below. Then, find the
solution to the equation ?
Answers
Answer:
the student that is correct is Gene and the solution is x=10
The equation that is correctly modelled is 2 = -8 - x.
GENE equation is correct.
We have,
From the model below,
The right-hand side:
This can be written as,
1 + 1 = 2 ______(1)
And,
The left-hand side:
This can be written as,
-x + 8 x (-1)
-x - 8
or
-8 - x ______(2)
Now,
From (1) and (2),
2 = -8 - x
Thus,
The equation that is correctly modelled is 2 = -8 - x.
GENE equation is correct.
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If a student has a monthly income of about $250, how much do you predict he might spend on clothing in a month?
Answers
Answer: depends if there like someone like me 550 but if there responable then probaly 50-80
Step-by-step explanation:
what is the slope of the line through (-9,6), (-3,9)
Answers
(9-6)/(-3+9)
= 3/6
=1/2
the value of x - y is
Answers
Answer:
Yes, in a Cartesian Coordinate system each point is given by two numbers. If the question is "where" the function has a max or min value, that's "x", the first number in pair. If the question is "what" is that max or min function value, thats "y", the second number in the pair
p is a degree 3 polynomial with p ( 0 ) = 22.08 and zeros 2 and 4 i . Find an equation for p with only real coefficients (i.e. no i in your equation).
Use x as your input, and round all answers to 2 decimal places as needed.
Answers
Answer:
P(x) = -0.69x³ + 2.76x² - 11.04x + 44.16Step-by-step explanation:
Let P(x) is the function with zero's 2 and 4i.
It has to have one more zero since it is of degree 3. This is a conjugate of 4i and is -4i.
The function has the shape of:
P(x) = a(x - 2)(x - 4i)(x + 4i)And we have P(0) = 22.08
Let's substitute and find the value of a:
22.08 = a(0 - 2)(0 - 4i)(0 + 4i)22.08 = a(-2)(-4i)(4i)22.08 = a(-2)(-16i²)22.08 = a(-32)a = - 22.08/32a = - 0.69The function is now:
P(x) = -0.69(x - 2)(x - 4i)(x + 4i)
= -0.69(x - 4)(x² + 16)
= -0.69(x³ - 4x² + 16x - 64)
= -0.69x³ + 2.76x² - 11.04x + 44.16
answer these 3 questoins
Answers
Answer:
b) m = 1/2
c) m = 3
d) m = 1/3
Step-by-step explanation:
b) rise = 1, run = 2; m = rise/run, so m = 1/2
c) rise = 3, run = 1; m = rise/run, so m = 3
d) rise = 1, run = 3; m = rise/run, so m = 1/3
Help Please!!!!!!!!
Answers
Answer:
40
Step-by-step explanation:
both angles are corresponding angles which means both are equal
i.e
4x-50 = 2x+30
4x-2x = 50+30
2x = 80
x = 80/2
therefore x = 40
keep smiling
Show your work on this I will mark as brainliest as well
Answers
Answer:
(-1, -4.5)
(-1.5, -2.5)
Step-by-step explanation:
To find the midpoint add the coordinates and divide by 2
19.( -8,-2) (6,-7)
((-8+6)/2, (-2+-7)/2) = (-2/2, -9/2) = (-1, -4.5)
20. ( 6,5) (-8,-10)
(( 6+-8)/2 , (5-10)/2) = (-3/2,-5/2) = (-1.5, -2.5)
Answer:
19. (-1, -4.5)
20. (-1, -2.5)
Step-by-step explanation:
19.
Use the midpoint formula.
[tex]\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]
Substitute the values.
[tex]\frac{-8+6}{2},\frac{-2-7}{2}[/tex]
Add/Subtract the numerators.
[tex]\frac{-2}{2},\frac{-9}{2}[/tex]
Divide.
-1, -4.5
20.
Use the midpoint formula.
[tex]\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]
Substitute the values.
[tex]\frac{6-8}{2},\frac{5-10}{2}[/tex]
Add/Subtract the numerators.
[tex]\frac{-2}{2},\frac{-5}{2}[/tex]
Divide.
-1, -2.5
where is the point (7, -1-0) loacted on the coordinate plane?
Answers
Determine a series of transformations that would map polygon ABCD onto polygon A’B’C’D’?
Answers
Answer:
A Translation 4 units leftwards followed by a reflection across the x-axis.
Step-by-step explanation:
he transformations are:
Translation 4 units leftwards.
Reflection across the x-axis.
You can deduct this transformations by using one vertex. Notice that E(4, -9) and E'(0, 9). You can observe that the transformed coordinate has the inverse y-coordinate, which indicates a x axis reflection. Also, it was shifted 4 units leftwards only.
write the volume of a cylinder with a base radius 3 m and height 8 m in terms of pi
Show your work and leave your answer it terms of pi
Answers
Answer:
72π m³Step-by-step explanation:
Cylinder volume:
V = πr²hSubstitute the values of r and h:
V = π(3²)(8) = 72π m³________
[tex] \: [/tex]
V = [tex]\pi[/tex] × r² × h
V = [tex]\pi[/tex] × 3² × 8
V = [tex]\pi[/tex] × 9 × 8
V = 72[tex]\pi[/tex]m³✔
Joe overheard his father complaining about having to pay $300 in interest in just one year. The simple annual interest rate was 16%. How much money did Joe’s father borrow?
Answers
Answer:
$1,875
Step-by-step explanation:
Interest = Principal x Rate x Time
Principal = amount of money borrowed
I = $300
r = 16% or .16
t = 1 (year)
300 = .16P
300/.16 = P
P = $1,875
Compare the graph of Car A to the table of Car B to determine which car is traveling at the greates
speed and by how much. Show work.
Answers
Answer:
Car a is moving at 15 miles per hour
Its slope is 15/1
Its equation is y = 15x
Car b is moving at 7.5 miles per hour
Its slope is 7.5
Its equation is y = 7.5x
Car a is moving twice as fast as car b
Step-by-step explanation:
But here's how you solve
Chose 2 points and find the change in y and change in x, then divide in the same order.
Point 1: (1, 15)
Point 2: (2, 30)
Change in y = 15
Change in x = 1
y = miles
x = hours
15 miles/1 hour
You can also do this
Pick a point and just divide it's y by its x. For example:
(4, 60)
60 miles/4 hours
15 miles per hour
Now that we have the slope, we can get the equation for the graph:
y = 15x + 0
or just y = 15x, because there is no y-intercept
Now let's solve for car b:
Chose a point:
(3, 22.5)
Divide its y by its x
22.5/3
7.5
Car b is moving at 7.5 miles per hour
Now that we have the slope, we can get the equation for the graph:
y = 7.5x + 0
or just y = 7.5x, because there is no y-intercept
Compare the speeds
Car a: 15 mph
Car b 7.5 mph
15 > 7.5
So, Car a > Car b
15/7.5 = 2
So Car a moves twice as fast as Car b
Emily went to soccer practice 6 times last month. Each practice is 90 minutes long.
How long did Emily spend at soccer practice last month?
Answers
Answer:
74 days. thanks me later lol nag check out
Answer:
What is 540 minutes or 9 hours spent practicing soccer
Step-by-step explanation:
90*6=540 minutes
540/60(minutes in 1 hour)
Please allow me to know if this helped you by rating and clicking thank you! Miss Hawaii
Please help, I’ll mark your answer as brainliest!
Answers
7b+4
Go follow lolzzzz
Did George Washington have a middle name
Answers
Answer:
Lol, I would like to answer the question tho...
(George Washington did not have a middle name.)
Step-by-step explanation:
What is the sum of 1 + 1?
Answers
1 + 1 = 2
Have a beautiful and joyful day ahead.
Answer:
1+1= 2
have a nice day stay safe <3