Answers
Answer: The maximum value is -3.75
Note: -3.75 = -15/4
=============================================================
Explanation:
The given quadratic is in the form y = ax^2 + bx + c, where,
a = -1b = 1c = -4We'll plug the values of 'a' and b into the formula below
h = -b/(2a)
h = -1/(2(-1))
h = 1/2
h = 0.5
This represents the x coordinate of the vertex. Recall the vertex is (h,k).
Plug this x value into the function to find its corresponding y coordinate
y = -x^2 + x - 4
y = -(0.5)^2 + 0.5 - 4
y = -3.75
The vertex is located at (0.5, -3.75)
Since a < 0, this means the parabola opens downward and that the vertex is the highest point on the parabola. Therefore, the largest y can get is y = -3.75 which we consider the maximum.
The graph visually helps confirm this (see image attachment).
Side note: -3.75 = -15/4
-------------------
Here's another way we can find the vertex (h,k). We'll complete the square to get the function into vertex form
y = -x^2 + x - 4
y + 4 = -x^2 + x
y + 4 = -(x^2 - x)
y + 4 = -(x^2 - x + 0)
y + 4 = -(x^2 - x + 0.25 - 0.25) .... see note below
y + 4 = -(x^2 - x + 0.25) -(-0.25)
y + 4 = -(x^2 - x + 0.25) + 0.25
y + 4 = -(x - 0.5)^2 + 0.25
y = -(x - 0.5)^2 + 0.25 - 4
y = -(x - 0.5)^2 - 3.75
This is in the form y = a(x-h)^2 + k where (h,k) = (0.5, -3.75).
Note: The x coefficient is -1 which cuts in half to -0.5, then that squares to 0.25
Related Questions
Can someone please help with these three?
Answers
Answer:
8
Step-by-step explanation:
ok so this is just the first one but i think you use a variable for what you are trying to find out, and well call this x and then u subtract the variable from the product of the rate and the amount, and once you have it, you multiply it but its own conjugate so then u use the binomial that you get to create a function, and you can graph it if you want, and u can use the apothem (the formula involves cos, so you might need a calculator) of the polygon created on your graph to find the domain, which you will then get the 4th root of, which is your answer. anyway, i believe this is what it is, but i may be wrong. hope this helps!
On a coordinate plane, a single transformation will be performed on square RSTU.
Select three transformations of square RSTU that would result in a congruent figure.
A a translation 3 units up and 8 units to the right
B a rotation of 270 counterclockwise about the origin
C a dilation by a scale factor of 1 with respect to the origin
a dilation by a scale factor of 1.5 with respect to the origin
E
a dilation by a scale factor of -2 with respect to the origin
Answers
Answer:the answer is ABC
Step-by-step explanation:
I had this on my exit ticket and my teacher reviewed the question and told me it was correct
When Elijah left his house in the morning, his cell phone battery was partially
charged. The charge remaining in Elijah's battery, as a percentage, can be modeled by
the equation B = 27 – 4.5t, where t is the number of hours since Elijah left his
house. What is the slope of the equation and what is its interpretation in the context
nf the problem?
Answers
Answer:
The slope is -4.5
The slope means that Elijah's phone battery will decrease by 4.5 percent each hour.
Step-by-step explanation:
In the equation y = mx + b, m is the slope.
The coefficient in the equation B = 27 – 4.5t is -4.5. This means that -4.5 is the slope of the equation.
In the context of this problem, the slope will represent the percent that Elijah's phone battery will decrease per hour.
So, the slope means that Elijah's phone battery will decrease by 4.5 percent each hour.
A local eat-in pizzeria wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful only if the average time spent on a delivery does not exceed 37 minutes. The owner has randomly selected 15 customers and delivered pizzas to their homes. What hypotheses should the owner test to see whether that the pizza delivery will be successful
Answers
Answer:
Hypothesis Test is:
Null Hypothesis H₀ x = 37
Alternative Hypothesis Hₐ x > 37
With that test hypothesis if we accept H₀ the result indicates that we can support that the average delivery time is equal to 37 we can proceed with the project. If on the other hand, we need to reject H₀ that means that the average delivery time exceed 37
Step-by-step explanation:
The limit average time is 37 minutes. Therefore under that value, the owner is happy. From the sample we have:
Sample size n = 15
we have data from delivery times then we have the mean x of the sample and standard deviation of the sample s
We assume normal distribution and as n < 30 test should be developed with t - student distribution.
Hypothesis Test is:
Null Hypothesis H₀ x = 37
Alternative Hypothesis Hₐ x > 37
With that test hypothesis if we accept H₀ the result indicates that we can support that the average delivery time is equal to 37 we can proceed with the project. If on the other hand, we need to reject H₀ that means that the average delivery time exceed 37
The Ballantyne area has 200 people over the age of eighty-five living in it of these people, 56 of them have a dog, 24 of them have a cat, and 16 of them have both of a person
is chosen at random, find the probability that they have a cat, if it is known they have a dog.
a. 1/2
b.3/7
c.2/7
d.2/25
Answers
Which of the following are equations for the line shown below? Check all that apply. O A. y=-3x-3 O B. y+ 5= 3(x- 1) O C. y= 3x-2 O D. y-4 = 3(x+ 2)
Answers
Answer:
B
Step-by-step explanation:
elementary math! please help Mark brainlist
Answers
Answer: 1 minute and 43 seconds faster
Step-by-step explanation:
Answer:
1 minute and 43 seconds faster
Step-by-step explanation:
give me a complete and managed answer.
Answers
Answer:
Solution given:
The given equation of a line is
ax²+2hxy+by²=0
Let y=mx be any one line of
ax²+2hxy+by²=0
Let the perpendicular line of
y=mx is
x+my=0
According to the question the line x+my=0 is one line of Ax²+2Hxy +By²=0
Substituting value of y
Ax²+2Hx [tex] \frac{ - x}{m} [/tex]+[tex]B \frac{x²}{m²} [/tex]=0
Ax²-[tex] \frac{ 2H}{m}x² [/tex]+[tex]B \frac{x²}{m²} [/tex]=0
Taking LCM
we get
Ax²m²-2mHx²+Bx²=0
x²[Am²-2Hm+B]=0..............[1]
Again.
ax²+2hx(mx)+B(mx)²=0
ax²+2hmx²+Bm²x²=0
x²[a+2hm+Bm²]=0
bm²+2hn+a=0.....................[2]
Taking coefficient of equation 1 &2.
equation 1. b 2h a b 2h
equation 2.A. -2h B A -2H
Doing criss cross multiplication
ignore first coefficient and repeat first and second
again
lines are perpendicular so
[tex] \frac{m²}{2hB} [/tex]=[tex] \frac{m}{aA-bB} [/tex]=[tex]\frac{1}{-2Hb-2hA} [/tex]
Taking 1st & 2nd ratio,we get,
m=[tex] \frac{2hB+2Ha}{aA-bB} [/tex]....[*]
Taking 3rd & 2nd ratio,we get,
m=[tex] \frac{aA-bB}{-2Hb-2hA} [/tex] ....[#]
Again
Equating equation * &# we get;
[tex] \frac{2hB+2Ha}{aA-bB} [/tex]=[tex] \frac{aA-bB}{-2Hb-2hA} [/tex]
(aA-bB)²=-4(hB+Ha)(Hb+HA)
(aA-bB)²+4(hB+Ha)(Hb+HA)=0 is a required condition.
If A gallon of milk weighs 8 pounds, how many gallons of milk are in 1 ton
Answers
Answer: 250 gallons in a ton of milk.
Step-by-step explanation:
if a pint is a pound the world around 2 pints to a quart 4 quarts to a gallon makes a gallon 8 pounds so 250 gallons in a ton of milk.
What is Limit of StartFraction x cubed minus 1 Over x minus 1 EndFraction as x approaches 1?
0
1
3
DNE
Answers
Answer:
It's C, 3
Step-by-step explanation:
Just did the problem and got it right :]
The limit of the given function when x approaches to 1 will be DNE.
What is limit?
An output value that a function approaches for the specified input values is referred to as a limit.
What will be the limit of the given function when x approaches to 1?
When we substitute 1 into the function then the denomiantor will be 1-1 and its value will be 0 .
As the denominator is 0 after plugging the limit this result that the limit will not exist.
Therefore, the correct answer is limit does not exist (DNE).
Learn more:https://brainly.com/question/19575451
#SPJ2
Will likes two brands of healthy breakfast cereal. In Superfiber
fiber in one cup. In Fiber Oats cereal, there are 4 grams of fib
the number of cups of Superfiber Will ate this week and let yr
Fiber Oats he ate this week. Which inequality represents the s
this week contained at least 30 grams of fiber?
O 5x + 4y = 30
O 5x + 4y = 30
O 4x + 5y = 30
4x + 5y = 30
Answers
Answer:
The first one I Took the test.
Step-by-step explanation:
A health magazine reported that 27% of adult males smoke cigarettes. A competing magazine thinks this claim is false. To test this claim, they select 40 adult males at random and record if they smoke cigarettes. They calculate a 95% confidence interval for the proportion of adult males who smoke and find it is 0.22 to 0.28.
(a) Interpret the confidence interval.
(b) Calculate the point estimate and margin of error used to create this confidence interval.
Point estimate:___________
Margin of error:___________
(c) Based on the confidence interval, is it plausible that the true proportion of adult males who smoke cigarettes is 27%? Explain.
Answers
Answer:
a) what is the point estimate used to create this confidence interval?
[a] 0.22
[b] 0.28
[c] 0.26
[d] 0.25 <-----------------------------
b) what is the margin of error used to create this confidence interval?
[a] .06
[b] .03 <-----------------------------
[c] .035
[d] .055
c) based on the confidence interval, it is plausible that the true proportion of adult males who smoke cigarettes is 27%?
[a] yes <-------------------------------
[b] no
Step-by-step explanation:
Can someone help please
Answers
Slope : 3
y - intercept : -2
Equation : y = -3x-2
what is the value of x over 20 = 5 over 8
Answers
Answer:
x = 12.5
Step-by-step explanation:
Tyler has two cube-shaped storage spaces in his apartment building, one large and one
small. The small storage space has a volume of 12 ft. Tyler wants to know the total
volume of both storage spaces.
s = length (ft) of one side of the large storage space
• Which expression represents the total
volume of the two storage spaces?
8
12 ft3
38 +12
(s +12)
S
8
83 +12
$3 +12
Answers
Answer: s³ + 12
Step-by-step explanation:
The volume of a cube is gotten by using the formula:
Volume of cube = (side)³
Since there are two cubes. The volume of the bug cube will be:
= s × s × s = s³
Volume of small cube = 12ft³
Therefore, the expression represents the total volume of the two storage spaces will be:
= s³ + 12
Find the 11th term of the geometric sequence of 6,-18,54...
Answers
In this sequence, our common ratio is -3 (each value is -3 times the previous value). The first (or 1th) term of the sequence is 6, so we can form our equation:
[tex]y=6(-3)^(^x^-^1^)[/tex]
Now we have to find the 11 term. To do so, we plug 11 into our equation where the x would be. Once that's done, we do the math as follows:
[tex]y=6(-3)^(^1^1^-^1^)[/tex] (plug in)
[tex]y=6(-3)^(^1^0^)[/tex] (simplify by subtracting 1 from 11 to get 10)
[tex]y=6(59049)[/tex] (simplify by calculating 3 to the power of 10 to get 59049)
[tex]y=354294[/tex] (solve by multiplying 6 by 59040 to get 354294
Therefore, our 11th term in the sequence is 354394.
Write 7 as a fraction with 3 in the denominator
Answers
Answer:
7/3
Step-by-step explanation:
7 is in numerator's and 3 is in denominator's position.
Pls help I’m begging u pls help have a good day pls help I need this
Answers
Answer:
27.5
Step-by-step explanation:
We can split it into to 2 rectangles so it would be 2.5x7.5 for 1 rectangle. You have to subtract 2.5 from 6 which is 3.5 so the second rectangle is 3.5x2.5.
Rectangle 1= 18.75
Rectangle 2= 8.75
18.75+8.75= 27.5
Researchers at two universities found that airlines are doing a better job of getting passengers to their destinations on time. Company A and Company B Airlines were among the leaders in on-time arrivals with both having 88% of their flights arriving on time. But for the 12% of flights that were delayed, how many minutes were these flights late
Answers
Complete question :
Formulate the hypothesis that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. (Let μ1 = population mean minutes late for delayed Company A flights and μ2 = population mean minutes late for delayed Company B flights.)
(b) What is the sample mean number of minutes late for delayed flights for each of these two airlines?
(c) Calculate the test statistic. (Round your answer to three decimal places.)
What is the p-value? (Round your answer to four decimal places.)
Answers:
H0: μ1 − μ2 = 0
H1: μ1 − μ2 ≠ 0
Test statistic = - 0.314
Pvalue = 0.7550
Step-by-step explanation:
Mean, xbar = Σx / n
Standard deviation, s = √(Σ(x-xbar) / n-1)
Company A :
Sample size, n = 25
Mean, x1 = 50.6
Standard deviation, s1 = 26.57
Company B :
Mean, x2 = 52.82
Sample size, n2 = 20
Standard deviation, s2 = 20.02
Mean, xbar = Σx / n
Standard deviation, s = √(Σ(x-xbar) / n-1)
Company A :
Sample size, n = 25
Mean, x1 = 50.6
Standard deviation, s1 = 26.57
Company B :
Mean, x2 = 52.85
Sample size, n2 = 20
Standard deviation, s2 = 20.02
The hypothesis :
H0: μ1 − μ2 = 0
H1: μ1 − μ2 ≠ 0
The test statistic :
Test statistic:
t = (x1 - x2)/[√(s²p(1/n1 + 1/n2 )]
Pooled variance = s²p
s²p = ((n1-1)*s1² + (n2-1)*s2² )/(n1+n2-2)
s²p = (24*26.57^2) + (19*20.02^2) / 43
s²p = 571. 125
√(s²p(1/n1 + 1/n2) ;
√572.125(1/25 + 1/20) = 7.169
x1 - x2 ; 50.6 - 52.85 = - 2.25
Test statistic = - 2.25 / 7.169
Test statistic = - 0.314
Using the Pvalue from t score calculator :
Pvalue(-0.314, 43) = 0.755
Pvalue > α ; We fail to reject the Null
a coin collection consists of nickels, dimes, and quarters, and has a total value of $3.30. there are three times as many nickels as quarters. how many coins of each kind are there if the number of dimes is three less than the average of the number of quarters?
Answers
Answer:
18 nickels, 9 dimes, 6 quarters.
Step-by-step explanation:
Basically, I just made a money table and used it to get my equation, which is: 60x-30=330, to get how many quarters there are. Then, plug that in to the problem and you have your answer.
Which statement is correct about triangle 1 and triangle 2?
Answers
Answer:D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
In order for two triangles to be similar, at least two corresponding angles must be congruent.
What two numbers have a product of -36 and sum of -9
Answers
Answer:-12 and -25
Step-by-step explanation:
Answer: 3 and -12
Step-by-step explanation:
I used this
www.calculatorsoup.com/calculators/math/diamond-problem-solver.php
X-Intercepts?
Y- intercepts?
Vertex?
Equation of the axis of symmetry:
If this graph showed the standard form of the equation, would the “a” value be a positive or a negative number?
Answers
Answer:
x-ints: (2,0) & (4,0)
y-int: (0,-8)
vertex: (3,1) *highest point of the graph
line of symmetry: x = 3 *x-value in the middle of x-ints
a value is -# *if parabola points done it's negative, if it points up it's positive
help please
what are the features of the function f(x) = -(1/3)^x +5 graphed below
(it's all in the picture)
Answers
Answer:
Exponential functions have a horizontal asymptote.
The equation of the :
Horizontal asymptote is y=5.
Horizontal Asymptote: y=5.
Step-by-step explanation:
is it just me or is anyone else getting less and less answers here like everyone just puts like “don’t know haha” or like a link it’s annoying
Answers
Answer:
Don't know hahaahahahaahahah
Answer:
I FEEL! ITS SO ANNOYING. I just need help
Step-by-step explanation:
20 POINT!!
Can someone help me I don’t understand it at all
Answers
Answer:
second
Step-by-step explanation:
substitute y=6 and x=1 in the given relations and see if works
y=2x will be 6 = 2*1 false
y=x+5 will be 6 = 1+5 true
because this is true check all the other y and x and if all true is good
7=2+5 true, 8=3+5 true 9= 4+5 true, 10=5+5 true, so second is good
y=2x+1 will be 6=2*1+1 false
y=3x+1 will be 6=3*1+1 false
Divide £9 in the ratio 2 : 1
Answers
Answer:
Step-by-step explanation:
The mean daily rainfall for a week was 5.5mm.for the first six days the mean rainfall was 1mm.How much rainfall on the seventh day
Answers
Answer:
There was 32.5mm of rainfall on the seventh day.
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is the sum of all values of a data-set divided by the number of values in the data-set.
The mean daily rainfall for a week was 5.5mm.for the first six days the mean rainfall was 1mm.
This means that during the week(7 days), the total amount of rain was of:
[tex]6*1 + x = 6 + x[/tex]
How much rainfall on the seventh day ?
This is x. We have that:
[tex]\frac{6 + x}{7} = 5.5[/tex]
[tex]6 + x = 7*5.5[/tex]
[tex]6 + x = 38.5[/tex]
[tex]x = 38.5 - 6 = 32.5[/tex]
There was 32.5mm of rainfall on the seventh day.
Launch Problem
a) There are two stores selling boxes of crackers. Based on the information below, which store should Sylvio
purchase the crackers from? Explain your answer.
Store 1
ion
Numbero Boed Cachers
3
5
6
00
9
B
12
2
bl...
Store 2:
C = 1.5b
c = cost and b = boxes of crackers
...
b) Sylvio also needs to purchase lemons. If Sylvio wants to buy 3 boxes of crackers and 6 lemons and he does
not want to go to both stores, which one should he shop at? Explain your answer.
Store 1:
Number of lemons
3
6
9
12
1
Cost (in dollars)
2
3
4
Answers
my best answer is B i hope this helps
Once a day for seven days, Melanie recorded the temperature in °F) of a stream near her home. Which box plot correctly shows
Melanie's data?
A)
B)
C)
D)
Answers
Answer:
minimim is 31
1st quartile is 42
median is 50
3rd quartile is 55
maximum is 62
Step-by-step explanation:
couldn't read the plots but these are the data for it:
minimim is 31
1st quartile is 42
median is 50
3rd quartile is 55
maximum is 62
Answer:
B
Step-by-step explanation:
bc i used it cornball
