Select the correct answer. Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33 A. The equation has a maximum value with a y-coordinate of -21. B. The equation has a minimum value with a y-coordinate of -21. C. The equation has a minimum value with a y-coordinate of -27. D. The equation has a maximum value with a y-coordinate of -27.
Step-by-step explanation:
y = -3x² + 12x - 33
y = -3[x² - 4x + 11]
y = -3[(x - 2)² + 7]
Since the coefficient of x² is negative, the curve concaves downwards and has an absolute maximum value. This happens when x = 2, y = -21.
Therefore the correct option is A.
During a movie, Tanvi ate 4/5 of a handful of snack mix, and Wyatt ate 2/5 of a handful. How much more did Tanvi eat?
Answer: 2/5
Step-by-step explanation:
What slope would make the lines
parallel?
y = -3x + 9
y = [?]x + 4
Answer:
- 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 9 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus
y = - 3x + 4 ← is the equation of a parallel line
Solve by graphing.
y = 3/4X+ 6
y = -X-1
Answer:
(-4,3)
Step-by-step explanation:
I graphed this on desmos
if f(x)= x^2 and g(x) = 4f (x)-1 then which of the following is the value of g (-3)
view image below to see answer choices
Answer:
27Step-by-step explanation:
Given
f(x)= x^2-2 and g(x) = 4f (x)-1
g(x) = 4(x^2-2) - 1
g(x) = 4x²-8-1
g(x) = 4x²-9
Get g(-3):
g(-3) = 4(-3)²-9
g(-3 = 4(9) - 9
g(-3) = 36-9
g(-3) = 27
PLEASE HELP ASAP!!!!!!!
Answer:
Angle sum property of a triangle is 180°
So,
Angle T + Angle U + Angle V =180°
(5x +7) + (2x + 7) + (6x + 10) = 180 °
5x + 7 + 2x + 7 + 6x + 10 = 180°
13x + 24 = 180 °
13x = 180 - 24
13x = 156
x = 156/13
X = 12
Angle U = 2x + 7 = 24 + 7 = 31
Angle T = 5x +7 = 60 + 7 = 67
Angle V =6x + 10 =72 +10 =82
For second questionx + x + x =3x
And according to the theorem of triangle of sum
3x = 180 °
x = 180 / 3
x = 60°
In first box u have to write 180 °
And in second one 60°
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7 chocolate bars cost 19 dollars determine the cost per chocolate bar.
Answer: .368
Step-by-step explanation:
Answer:
$2.71
Step-by-step explanation:
to find the cost of each chocolate bar you must divide the total cost by the number of chocolate bars
19/7
= 2.714
≈ $2.71
x^8-x^5+18x^4-18=0 solve this equation
Answer:
a
Step-by-step explanation:
source: trust me bro
if x²+y²=6xy then prove that 2log(x+y)=logx+logy+3log2
Answer:
Given that
x² + y² = 6xy
or, (x + y)² - 2xy = 6xy
or, (x + y)² = 8xy
or, (x + y)² = 2³xy
Taking (log) in both sides, we get
log (x + y)² = log (2³xy)
or, 2 log (x + y) = log (2³) + logx + logy
or, 2 log (x + y) = 3 log2 + logx + logy
Hope this helps :D
HELLPPPPPPP BRAINLIEST
What is the constant term in the expression 4x3y + 8x2 + 6x + 5? (Input a numeric value only.) (3 points)
Answer:
the answer is 5
Step-by-step explanation:
Suppose two friends are standing next to each other. One friend runs 39.239.2 yards in one direction. The other friend runs 24.824.8 yards in the opposite direction, stops, and then continues in the same direction for 13.413.4 more yards. How far apart are the friends?
Answer:
77.4774 yards
Step-by-step explanation:
Friend 1 runs 39.2392 yards in direction X
Friend 2 runs 24.8248 yards in direction Y
Friend 2 runs another 13.4134 yards in direction y
Distance between The two friends
starting from Origin ( 0 ) = 39.2392 + 24.8248 + 13.4134
= 77.4774 yards
What is (5^3)6 in index form?
Answer:
5^8 MARK AS BRAIN Leist please thank me
Step-by-step explanation:
Answer please, be sure your right or don’t answer at all.
Answer:
y > 1/3x -3
Step-by-step explanation:
Just find the equation of the line, which is y = 1/3x -3, and then determine what the symbol is going to be. Since the line is dotted, it will either be < or >. When the shaded area is on top of the line, it's >. Remember that by saying left on the bottom or right on top.
I WILL GIVE BRAINLEST!!!!!!!
Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x
PLSSSSS SHOW YOUR WORK PLSSSSSSS
Answer:
D
Step-by-step explanation
10/5=2
10x0.02=0.05
2+0.05=2.05
As an estimation we are told £3 is €4
Convert £10.50 to euros.
Answer:
The answer is 11.56 Euro.
Can someone help me solve x and y?
read the picture please
Answer:
I think its g and j
I don't think its I because that's above -1 and -3/2 should be below
purchase furniture of rs.50000 at 10% discount (accounting equation
Answer:
5000
Step-by-step explanation:
50000 / 10= 5000
Cost of the furniture of 50000 rupees with 10% discount is 45000 rupees
What is Discount?A deduction from the usual cost of something
Here Cost of the furniture = 50000 rupees
Discount = 10%
Then the discount price is = total cost × 10%
[tex]50000(\frac{10}{100})=5000[/tex] rupees
Then the purchased amount = Total price - Discount
[tex]50000-5000=45000[/tex] rupees
Hence, the purchased price is 45000 rupees
Learn more about Discount here
https://brainly.com/question/3541148
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3. Twenty-four percent of the 25 swim team members are new on
the tean How many members are des?
A. 6B. 8 C. 10 D. 12
Answer:
A
Step-by-step explanation:
Sharon wants to buy a shirt that costs $30. The sales tax is 5%. How much is the sales tax? What is her total
cost for the shirt?
The sales tax is $
her total cost of the shirt is $
Answer:
The sales tax is $1.50 Her total cost of the shirt is $31.50
Step-by-step explanation:
5% of 30 is 20% of 100 so divide 30 by 20 to get 1.5 then just add that to 30 pretty simple :)
Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters. They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding. Solve this problem for Jack." How many dimes and quarters in Lulu holding? Enter your final answer in the space below. Please make sure you write your interpretation in a complete sentence
Given :
Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters.
They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding.
To Find :
How many dimes and quarters in Lulu holding?
Solution :
4.10 dollar = 410 cents
Let, number of dimes and quarter are x and y.
So, x + y = 20 ...1)
Also, 10x + 25y = 410 ...2)
Putting value of 1) in equation 2), we get :
10x + 25( 20 - x ) = 410
10x + 500 - 25x = 410
15x = 90
x = 6
y = 14
Therefore, number of dimes and quarters are 6 and 14 respectively.
Hence, this is the required solution.
How many pounds are there in 2/3/4 tons (1 ton = 2000 pounds)
Keith and his 6 friends are taking a trip. The total cost of the trip is $1,145.55. The total cost of the tickets for the amusement park was $341.25. The total cost of three hotel rooms was $454.65. The total cost for the show they were going to see was $153.65. The rest of the money they paid was used to purchase gas for their trip. Use this information to answer the questions below.
Answer and explanation:
Question is incomplete
Question will likely ask how much is the rest of the money paid for gas.
We use algebra to find how much is the rest of the money paid for gas
So given
total cost of the trip = $1,145.55
total cost of tickets for amusement park = $341.25
The total cost of three hotel rooms = $454.65
total cost for the show they were going to see = $153.65
Let's call rest of money spent on gas x
Hence the equation for total cost with all expenditures,
$341.25+$454.65+$153.65+x=$1,145.55
Solve for x
$949.55+x=$1145.55
x=$1145.55-$949.55
x= $196
Therefore amount spent on gas for the trip =$196
Write an equation in slope intercept form to
model the function.
Write in slope-intercept form,
y=mx+b
1
,
6
,
2
,
30
,
3
,
5
,
44
,
78
Answer:
y=6x
Step-by-step explanation:
y=mx+b
y=6x+b
b=y-intercept
m=slope
y-intercept =(0,0)
Determine the point that is 1/4 the distance fromthe endpoint (6,24) of the segment with endpoints (-9, -18) and (6, 24).
Answer:(9/4,27/2)
Step-by-step explanation:
HELPPPP i’ll give brainliest if it’s right!!!
Answer:
the answer is A and D
Step-by-step explanation:
Answer:
[tex]\sqrt{19}[/tex] & [tex]\sqrt{48}[/tex]
Step-by-step explanation:
[tex]\sqrt{81}[/tex] = 9
[tex]\sqrt{64}[/tex] = 8
Both are rational, so they are not correct
What is the result of 4 ➗8/12
A) 1/6
B) 3/8
C) 3
D) 6
This is an edge unit test with 1 hour left please help me
Answer: D
Step-by-step explanation:
-4.5x > -21
Can someone help me ASAP
Step-by-step explanation:
-4.5 x > -21
4.5 = 9/2
WHEN DIVIDING INEQUALITIES WITH NEGATIVE SIGNS, THE GREATHER THAN SIGN WILL CHANGE TO LESS THAN.
-9/2x > - 21
Divide both sides by 9/2 or 4.5
-9/2x / - 9/2 > - 21 / - 9/2
x < 21 × 2/9
x < 7 × 2/3
x < 14/3
x < 4.66666667
Aproximately.... x < 4.7
Please gimme brainliest
I really need help with my practice final
Answer:
$3,665
Step-by-step explanation:
The length and breadth of a rectangular plot are in the ratio of 4:3, if perimeter is 140m, it's area will be
Answer:
length of a rectangular is 4x
breadth of a rectangular is 3x
perimeter is 140m
perimeter of rectangular is
140 = 2(l + b)put the value and you got the value of x
then;
find area
[tex]area = l \times b[/tex]
then put the value of length and breadth and x also
then you got the answer...