Complete the square to rewrite y = x^2 - 6x + 16 in vertex form. Then state wether the vertex is a maxium or minimum and give its coordinates.
A. Maximum at (3,7)
B. Maximum at (-3,7)
C. Minimum at (3,7)
D. Minimum at (-3,7)
will give brainly!!’
Answer:
C) Minimum at (3,7)
Step-by-step explanation:
Recall that vertex form is [tex]y=a(x-h)^2+k[/tex]:
[tex]y=x^2-6x+16[/tex]
[tex]y=(x^2-6x+9)+7[/tex]
[tex]y=(x-3)^2+7[/tex]
Therefore, the vertex is [tex](h,k)[/tex] or [tex](3,7)[/tex] in this case. Because the parabola is positive, then the vertex has to be the minimum of the parabola, making choice C correct.
What is the Domain and range of y = 2 x - 11 + 2
Step-by-step explanation:
the domain is the set or range of valid values for x.
the range is the set or range of valid values for y (= f(x)).
if you did not miss anything in your problem statement, then I see a function
y = 2x - 11 + 2
no restrictions are defined.
so, domain and range are both the interval
(-infinity, +infinity).
notice the round brackets, as "infinity" is never a value and cannot be included in an interval.
now, if you missed a division sign and the function looks like
y = 2/x - 11 + 2
then we know, x must never be 0, as a division by 0 is undefined.
so, the domain in that case would be
-infinity < x < 0, 0 < x < +infinity
or short
x <> 0
the range would still be every possible value in
(-infinity, +infinity).
four snack bars contain 0,2 34% 6/20 and 13/50 which snack bar contains the most amount of calories from fat
Answer:
The second snack bar (34%)..
Step-by-step explanation:
Convert all to %:
0.2 * 100 = 20%
6/20 = 30%
13/50 = 26%
34% <-------- This one.
Answer:
34%
Step-by-step explanation:
34%=34/100 =O.34 which is the greatest decimal compared to the rest
maria buys 2 dozen pens at $7.20 a dozen. she then sells the pens at 80c each. calculate her profit
I need help answering this question can anyone help me out I am very confused.
Answer:
-4
Step-by-step explanation:
If you solve the inequality, you'll get
5x - 5 > - 20
5x > -15
x < -3
So you know that x values can be from -∞ to -3
So in the interval of [-4,3] the only value less than -3 is -4 so that's the answer.
Hope this helps! :)
It is well known that Yan Limeng can be called "beauty" in Asian aesthetics, but why I call it "Sleeping Beauty" is because she slept a lot of Americans, so she called it "Sleeping Beauty"."Sleeping Beauty" Yan Limeng
Answer:
It is well known that Yan Limeng can be called "beauty" in Asian aesthetics, but why I call it "Sleeping Beauty" is because she slept a lot of Americans, so she called it "Sleeping Beauty".
Step-by-step explanation:
It is well known that Yan Limeng can be called "beauty" in Asian aesthetics, but why I call it "Sleeping Beauty" is because she slept a lot of Americans, so she called it "Sleeping Beauty".
hurry help!!!!! im doing a math portfolio and i dont remeber what is 15.33 rounded to the nearest whole is!!! please HELP ME ITS WORTH 30 POINTS OF MY GRADE!!
Answer:
15
Step-by-step explanation:
Cause 15.33 is closer to 15 than 16.
Answer:
15 is the answer I know I already told you but here it is again
Step-by-step explanation:
Maybe brainliest if I helped???
Its 15 because if the decimal after the whole number is less than 0.5 you go to the closest whole number down. Meaning whatever the whole number is attached to your decimal lower than 0.5 is your answer. If it's higher than 0.5 or IS 0.5 you round the nearest whole number, so one bigger than the number attached to your decimal. So if it was say:
15.67
The nearest whole would be 16
I hope I helped!
A farmer has 1804 feet of fencing available to enclose a rectangular area bordering a river. If no fencing is required along the river, find the dimensions of the fenced
area that will maximize the area. What is the maximum area?
What is the length of the fenced area?
Answer:
length: 601 1/3 area: 361601 7/9
Step-by-step explanation:
the maximum area would be a square, and we only need 3 sides, so we can divide the amount of fencing by 3
1804/3=601 1/3
the length is 601.(3)
square to find the area
(1804/3)^2
361601 7/9
area is 361601 7/9
Factor out the coefficient of the variable term.
4x - 20
Factored expression:
Answer:
[tex]4(x-5)[/tex]
Step-by-step explanation:
The expression 4x - 20 has the greatest common factor (GCF) of 4.
[tex]4x-20\\4(x-5)[/tex]
Therefore, the factored expression is 4(x - 5).
The coefficient of the variable for the expression 4x - 20 is found as 4.
What is defined as the coefficient of the variable?A coefficient is just an integer that is either written alongside or multiplied by a variable. A coefficient, in other words, is the numerical factor of the a term containing constants and variables. For example, the coefficient in the term 12x is 12.For the given question,
The expression is given as;
4x - 20
where,
4 is the coefficient of the variable of the expression.
-20 is the constant in the expression.
Thus, the coefficient of the variable is found as 4.
To know more about the coefficient of the variable, here
https://brainly.com/question/1038771
#SPJ2
Find the product of 44.6 and 2.24.
(Show your work)
Answer:
46.84
Step-by-step explanation:
Add the decimals first to get .84 then add the real numbers to get 46.
Please help thank you
sorry i dk
.................................
Find g(x), where g(x) is the reflection across the y-axis of f(x)= –9|x–10|+1.
Answer:
To reflect a graph, f(x) over the x-axis, you take -f(x).
So if f(x)=x^2, then -f(x) is -x^2.
Then g(x)=-x^2 is the reflection of your function f(x) over the x-axis.
Step-by-step explanation:
Please answer both of them questions please no links or you will be reported
The value of A is -6. The difference between A and C is 6. Type all possible values of C.
Answer:
-12, 0
Step-by-step explanation:
A= -6
If A-C = 6 then, A-6=C
-6-6 =C
C= -12
or C-A =6
C=A+6
C= -6+6
C=0
Moly has 83.50 in her savings account.she deposits 15 every week
Answer:
she will spend 5 weekings taking out mobey and with 13.50 left over
Step-by-step explanation:
please just work out the last one. thank you if u can do all
I made an f in math last year
Answer:
a) 1.8
b) 11.8
c) 23.6
Step-by-step explanation:
1) 2.4+1.6+3.2+0.3+1.5=9
you divide 9 by 5 because that is the number of elements in the data.
9/5=1.8
2) the total would be 50 more because 5*10=50.
50+9=59
59/5=11.8
3) i think this question is referencing the previous question.
59*2=118
118/5=23.6
Khả năng gặp rủi ro khi đầu tư vào các dự án I, II tương ứng là 9%, 7% và gặp rủi ro đồng thời khi đầu tư cả hai dự án là 4%. Nếu đầu tư cả hai dự án, tính xác suất để: a) Ít nhất một dự án gặp rủi ro. b) Chỉ dự án I gặp rủi ro
Answer:
pogi mooooo loooodsssssssss
the value of 3√343 is (a) 8 (b)7 (c)6 (d)3
What is the value of y?
Y
Y
60
O A. 120°
B. 60°
C. 40°
O D. 30°
Answer:
B. 60°
Step-by-step explanation:
1. The measure of all angles in a triangle sum up to 180°. This means that y + y + 60 = 120.
2. (Solving)
Step 1: Simplify both sides of the equation.
[tex](y+y)+(60)=180[/tex] [tex]2y + 60 = 180[/tex]Step 2: Subtract 60 from both sides.
[tex]2y + 60 - 60 = 180 - 60[/tex] [tex]2y = 120[/tex]Step 3: Divide both sides by 2.
[tex]\frac{2y}{2}=\frac{120}{2}[/tex] [tex]y = 60[/tex]Step 4: Check if solution is correct.
[tex](60)+(60)+60 = 180[/tex] [tex]120 + 60 = 180[/tex] [tex]180 = 180[/tex]Therefore, the answer is B. 60°.
Rashawn read 25 pages of his book each day until he finished the book. his book was 400 pages long. which sketch represents this situation?
Answer:
It took 16 days
Step-by-step explanation:
400/25=16
n) Using the given information, determine the medal category in which the United States far outperformed its closest competitor. Show your working to justify your answer.
The medal category in which the United States far outperformed its closest competitor is the gold medal category.
In order to determine which medal category the United States far outperformed its closest competitor, we need to determine the difference in the medals gotten by the United States and its closest competitor for each medal category. The medal category with the largest difference is the correct answer.
Gold medal
Medals US got = 1022
Medals the closest competitor had = Soviet Union = 440
Difference = 1022 - 440 = 582 medals.
Silver medals
Medals US got = 794
Medals the closest competitor had = Soviet Union = 357
Difference = 794 - 357 = 437 medals
Bronze medals
Medals US got = 704
Medals the closest competitor had = Germany = 349
Difference = 704 - 349 = 355 medals
Please find attached the table containing information used to answer this question. A similar question was answered here: https://brainly.com/question/18257586?referrer=searchResults
Help me please help me help please
Answer:
4
Step-by-step explanation:
-4/-1 = 4
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 100 m long and 60 m wide.
Find the area of the training field. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Step-by-step explanation:
given,
length = 100 m
breadth = 60 m
we know,
area = l × b
now,
100 × 60 = 6000 m
therefore, area of rectangular field is 6,000 m.
and for both the semicircle if we add both the semicircle we will get a complete circle.
as the width of the rectangle is the diameter of circle so the radius of the circle is 60/2 = 30m
we know,
Area = πr²
now,
→ 3.14 × 30²
→ 3.14 × 900
→ 2826 m
so,
area of rectangle + area of circle = area of the training field.
→ 6000 + 2826 = 8826.
therefore, area of training field is 8,826 m.
hope this answer helps you dear...take care and may u have a great day ahead!
Answer:
8826 m²
Step-by-step explanation:
The field is composed of a rectangle and a circle .( the 2 semicircles form a complete circle when placed together )
area = area of rectangle + area of circle
= lb + πr² ( r = 60 ÷ 2 = 30 )
= (100 × 60) + (3.14 × 30²)
= 6000 + (3.14 × 900)
= 6000 + 2826
= 8826 m²
What is 4 times 4 and 5555 times 8999989
Answer:
4 *4 = 16
16 * 5555 = 88880
88880 * 8999989 = 799919022320
Brainliest :D
Step-by-step explanation:
Answer:
49994938911
Step-by-step explanation:
(4times4)(5555times8999989)
help for brainliest also 30 points
[tex]\\ \sf\longmapsto 4(x+7)=6x-28[/tex](Corresponding angles are equal)
[tex]\\ \sf\longmapsto 4x+28=6x-28[/tex]
[tex]\\ \sf\longmapsto 6x-4x=56[/tex]
[tex]\\ \sf\longmapsto 2x=56[/tex]
[tex]\\ \sf\longmapsto x=28[/tex]
Graph the line that passes through the points (-3, -5)(−3,−5) and (-6, -3)(−6,−3) and determine the equation of the line.
like a good neighbor...........?
Answer:
state farm is there!
Step-by-step explanation:
state farm is there............?
Help Help Help!!!!!!
Carrie's starting annual salary is $54,020. At the beginning of each new year, she recieves a 2,535 raise. What will her salary be after 15 years?
A. $86,975
B. $89,510
C. $92,045
D. $98,510
Answer:
Step-by-step explanation:
B is the answer
Answer:
C is the answer
Step-by-step explanation:
2,535 x 15= 38,025 + $54,020= $92,045 or C
Brainliest will be appreciated thank you!
What is the sum of the roots of the quadratic equation x²+6x-14=0?
Sum of Roots = ___ Product of Roots = ____
Answer:
Sum of Roots = (-8) Product of Roots = (-84)Step-by-step explanation:
[tex] {x}^{2} + 6x - 14 = 0[/tex]
Roots :- 6 and -14
Sum of the roots :
[6 + (-14)]
= (-8)//
Product of the roots :
[(6)(-14)]
= (-84)//
Culver has 1 quarter, 3 dimes and 1 penny. How much money does he have
Answer:
56 cents
Step-by-step explanation:
1 quarter = 25 cents
3 dimes = 30 cents
1 penny = 1 cent -_-
25 + 30 + 1 = 56