Answers
Answer:
Part (a) Vertex = (-3, -1)Part (b) Vertex = (4, 5)Part (c) function 2; max value = 5=====================================================
Explanations:
Part (a)
In this case, the vertex is the highest point, so the vertex of function 1 is (-3, -1)
If the parabola was flipped so that it opened upward, instead of downward, then the vertex would be the lowest point.
----------------------------
Part (b)
We could graph this function to see where the highest or lowest point is, but there's another way we could find the vertex using algebra.
The given equation is in the form y = ax^2 + bx + c where in this case
a = -2b = 16c = -27The a and b values are plugged into the formula below to get
h = -b/(2a)
h = -16/(2*(-2))
h = -16/(-4)
h = 4
This is the x coordinate the vertex since the vertex is (h,k)
To find k, we plug that value of h into the original function to find its corresponding y value.
y = -2x^2 + 16x - 27
y = -2(4)^2 + 16(4) - 27
y = -2(16) + 16(4) - 27
y = -32 + 64 - 27
y = 5
We found that h = 4 leads to k = 5. The vertex is (h,k) = (4, 5)
----------------------------
Part (c)
We'll compare the y values of each vertex
Function 1 has a vertex of (-3, 1)Function 2 has a vertex of (4, 5)The vertex with the larger y value is the winner, so that would be function 2. This parabola reaches a higher peak compared to the other curve.
The max value here is y = 5. In other words, it's the maximum output the function can produce.
If you graphed functions 1 and 2 together on the same xy grid (see below), you'll see that the curve for function 2 reaches a higher peak.
Related Questions
The souvenir stand sells hats, postcards, and magnets. They have twice as many postcards as hats, and 100 more magnets than postcards.
Let h represent the total number of hats. Write an expression in terms of h for the total number of items they have to sell.
Answers
Answer:
4h + 100
Step-by-step explanation:
h = total number of hats
postcards = 2h
magnets = h + 100
Add them all together:
h + 2h + h + 100 = 4h +100
A recipe requires only blueberries and strawberries. This list shows the amounts required for 1/4 of the whole recipe: 1/2 cup blueberries 2/5 cup strawberries In this table, select the number of cups of blueberries and the number of cups of strawberries required for the whole recipe.HELP ASAP
Answers
The whole recipe requires 1/2 cup of blueberries and 2/5 cup of strawberries.
To find the amounts required for the whole recipe, we can multiply the amounts required for 1/4 of the recipe by 4:
For blueberries:
1/4 x 4 x 1/2 = 1/2 cups
So, the whole recipe requires 1/2 cup of blueberries.
For strawberries:
1/4 x 4 x 2/5 = 8/20 = 2/5 cups
So, the whole recipe requires 2/5 cups of strawberries.
Therefore, the whole recipe requires 1/2 cup of blueberries and 2/5 cups of strawberries.
To learn more about multiplication;
https://brainly.com/question/19634536
#SPJ1
If anybody could help with this question I would appreciate it so much!!
Answers
Answer:
d=7
Step-by-step explanation:
simplify 4x^2+2x/x^2+x-2/8x^2+4x/3x^2+10x+8
Answers
Answer:
[tex]\frac{4x^{3} }{3} +\frac{15x^{2} }{4} +11x+\frac{2}{x} +8[/tex]
Step-by-step explanation:
Answer:
3x+4/2(x-1)
Step-by-step explanation:
I took the quiz
log(2x+5)+10=13 SHOW WORK PLEASE
Answers
Answer:
x = 497.5
Step-by-step explanation:
that's the correct answer with solution
Brainliest for correct answer! :)
Answers
Answer:
280
Step-by-step explanation:
Item 4
Find the surface area of the prism.
The surface area is
a
square feet.
Answers
Answer:
xnxnxnzznchamschdntjekdfurnthsjdnfjdjdjdkdkr
Step-by-step explanation:
xmxmxnxmxmxnxmxnxndmsndfhakxufmrjdkxddjrf7sjrifxisufkf8dhrkfdkshgshdbfjdddnfjfkdnfmcmcmdmdkfkfkkfdkfkfkfkfkfkfkfkkfkfkfkfkfkdkdkdmdkdkdkdkdmdmrmddmrm1520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126
Aiden uses 1/6 cup of blue paint for every 1/2 cup of red paint to make purple paint what is the number of cups of blue paint aiden uses for 1 cup of red paint
Answers
Answer:
your answer is 2/6 or 1/3 a cup.
Step-by-step explanation:
agregenme o baneo la preguntta
Answers
Answer:
translate; Assault me or ban the question
Step-by-step explanation:
The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.
Answers
En un bolsillo tengo una cantidad de dinero y en el otro tengo el doble. En total tengo 600. ¿cuántos euros tengo en cada bolsillo?
Answers
Answer:
La cantidad de dinero en:
Primer bolsillo = x = 200 euros
Segundo bolsillo = 2x = 400 euros
Step-by-step explanation:
Nos dijeron:
En un bolsillo tengo una cantidad de dinero y en el otro tengo el doble.
Representemos, la cantidad de dinero en el:
Primer bolsillo = x
Segundo bolsillo = 2x
En total tengo 600.
Por eso:
x + 2x = 600
3 veces = 600
x = 600/3
x = 200
2x = 200 × 2
x = 400
Por lo tanto, la cantidad de dinero en:
Primer bolsillo = x = 200 euros
Segundo bolsillo = 2x = 400 euros
GOTTA GRIND ON THIS SITE TO GET YOUR QUESTIONS ANSWERED!
Answers
Answer:
-8 or -5
Step-by-step explanation:
The difference between two positive numbers is 5 and the square of their sum is 169. find the two numbers.
Answers
ArmyCee:)
Answer:
The two number are 9 and 13
Step-by-step explanation:
9-4=5
9+4=13 and 13*13is 169
Let A and B be the two non-right angles in a right triangle.
Answers
Answer:
Step-by-step explanation:
adjacent=5 ,hypotenuse13 opposite=?
hypotenuse^2=opposite^2+adjacent^2
13^2=opposite^2+5^2
169-25=opposite^2
[tex]\sqrt144[/tex]=opposite
12=opposite
SinA=opposite/hypotenuse
12/13
therefore sinA =`12/13
I NEED THIS ASAP. I WILL GIVE ALL MY 32 POINTS
MY ASSESMENT IS DUE TOMMOROW AND I HAVEN'T STARTED AND I NEED FULL MARKS
ANY QUESTIONS PLEASE COMMENT THANKS
Answers
Hi I can help u if you want to!!!
A ship from Port travels fot 60km on the bearing of 129°.It continues to travel and changes direction for another 50km on a bearing of 080°
Answers
Answer:
The ship is approximately 100 km to the Port.
Step-by-step explanation:
The sketch to the question gives a triangle with two sides and an included angle. Let the distance from the Port to the stopping point of the ship be represented by c. It can be determined by the application of cosine rule. Cosine rule states that:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] -2ab Cos C
a = 50 km
b = 60 km
C = 51 + 80 = [tex]131^{o}[/tex]
So that;
[tex]c^{2}[/tex] = [tex]50^{2}[/tex] + [tex]60^{2}[/tex] -2(50 x 60) Cos [tex]131^{o}[/tex]
= 2500 + 3600 -6000 x -0.6561
= 6100 + 3936.6
[tex]c^{2}[/tex] = 10036.6
c = [tex]\sqrt{10036.6}[/tex]
= 100.183
c = 100.18 km
Thus, the ship is approximately 100 km to the Port.
what is the area of B1, =4,B2 =8, h =2
Answers
Answer: 12
Step-by-step explanation:
And please help me with this one too!! Thank you!!
Answers
Answer:
math.way
Step-by-step explanation:
Answer:
Step-by-step explanation:
y^2=49
y=[tex]\sqrt{49}[/tex]
y=7
pls help will give brainliest
Answers
Answer:
132
Step-by-step explanation:
Volume for a rectangular prism is V=lwh. so you do 11*3*4. 11 is the length, 3 is the width and 4 is the height
Answer:
uhh, look it up
Step-by-step explanation:
The double box-and-whisker plot shows the numbers of correct answers on a test for each student in Room 212 and Room 214.
(a) Compare the populations using measures of center and variation.
(b) Express the difference the measures of center as a multiple of each measure of variation.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Using the Median (measure of center) and range
Room 212 :
Median = 20
Range = maximum - minimum = (22 - 15) = 7
Interquartile range = Q3 - Q1
Q3 = 21
Q1 = 19
IQR = 21 - 19 = 2
ROOM 214 :
Median = 22
Range = maximum - minimum = (25 - 16) = 9
Interquartile range = Q3 - Q1
Q3 = 23
Q1 = 20
IQR = 23 - 20 = 3
3. Two consecutive odd integers can be modeled by n and n + 2, where n is an
odd integer. The sum of two consecutive odd integers is 80. What are the
integers?
Answers
Step-by-step explanation:
Given :-
Two consecutive odd integers can be modeled by n and n + 2, where n is anodd integer. The sum of two consecutive odd integers is 80.=> n + n +2 = 80
=> 2n + 2 = 80
=> 2n = 78
=> n = 78 ÷ 2
=> n = 39
numbers = 39 &41One solution to a quadratic equation is 4 - 5i. Find the equation.
Answers
Answer:
The answer would be Equation B:
x2 - 8x + 41
Step-by-step explanation:
Please help,
Find the area of the figure
Answers
Answer:
243cm squared
Step-by-step explanation:
The diagonals of rectangle QRST intersect at P. Given that mZPTS = 34° and
QS = 10 , find RT.
Can someone help pleasee
Answers
Answer:
10
Step-by-step explanation:
The diagonals of a rectangle are congruent.
RT = QS = 10
Answer: RT = 10
Answer:
Your answer should be 10.
Step-by-step explanation:
In order for a quadrilateral to be classified as a rectangle, BOTH diagonals must be congruent. Otherwise, the quadrilateral cannot be classified as a rectangle. Hope this helps you out!
In circle E with m DEF 36 and DE = 3 units find area of
sector DEF. Round to the nearest hundredth.
E
Answers
Answer:
A ≈ 2.83 units²
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{36}{360}[/tex]
= π × 3² × [tex]\frac{1}{10}[/tex]
= [tex]\frac{9\pi }{10}[/tex]
≈ 2.83 units² ( to the nearest hundredth )
arrange from largest to smallest 1/2, 7/11, 5/8, 2/3
Answers
Answer: 2/3, 1/2, 5/8,7/11
Step-by-step explanation: usually the smaller your denominator is the larger your fraction. You also have to look at the numerator and somewhat visualize what it would look like. Such as 2/3 is larger than 1/2 because 1/2 of 3 is 1.5 so since 2 is larger than 1.5 you can say 2/3 is larger
Hope this helps
Answer:
2/3, 7/11, 5/8, 1/2
Step-by-step explanation:
You make them so that they have all the same denominator and it is self explanatory from there :)
question in photo. i'll give brainliest to whoever gets it right/done quickest. thank you!
Answers
A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of
wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.
How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.
Answers
Answer:
He will have to cut off 1.25 inches.
Step-by-step explanation:
Take 5% of 5 inches
0.05(5)=0.25 inches
5 inches - 0.25 inches= 4.75 inches
4.75 inches is how wide the wood is after it shrinks.
Find how much he needs to cut off
4.75 inches - 3.5 inches=1.25 inches
He will need to cut off 1.25 inches in order for the block to fit exactly.
find the slop if the line through each pair of points (-13,1),(-16,1)
Answers
Answer:
[tex]slope = \frac{(1 - 1)}{( - 16 - ( - 13))} \\ = \frac{0}{ - 3} \\ = 0[/tex]
Answer:
Slope is 0
Step-by-step explanation:
At Sam’s Warehouse, a member pays $25 a year for a membership, and then buys all products at the regular store prices. A non-member does not pay the membership fee, but does pay an additional 5% above the store prices. Write and solve a system of equations to represent this situation where is the store price and is the total amount paid.xy
Answers
Answer:
[tex]y = 25 + x[/tex] --- Members
[tex]y = 1.05x[/tex] --- Non-members
Step-by-step explanation:
Given
[tex]x \to store\ price[/tex]
[tex]y\to total\ amount[/tex]
Members
[tex]Membership =\$25[/tex]
Non-members
[tex]Rate = 5\%[/tex] increase
For the members, the equation is:
[tex]y = Membership + Store\ price[/tex]
[tex]y = 25 + x[/tex]
For non-members, the equation is:
[tex]y = Store\ price * (1 + Rate)[/tex]
[tex]y = x * (1 + 5\%)[/tex]
[tex]y = x * (1.05)[/tex]
[tex]y = 1.05x[/tex]