The function f(x) = x² + 12x is a quadratic function, and the vertex of the function is (-6,-36)
How to determine the vertex of the function?The equation of the function is given as:
f(x) = x² + 12x
Differentiate the function
f'(x) = 2x + 12
Set the function to 0
2x + 12 = 0
Add -12 to both sides
2x = -12
Divide both sides by 2
x = -6
Set x = -6 in the function f(x)
f(-6) = (-6)² + 12(-6)
Evaluate
f(-6) = -36
Hence, the vertex of the function is (-6,-36)
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Answer:
the vertex of the function is (-6,-36)
Step-by-step explanation:
Pls add brainliest pls
A. 12
B. 24
C. 84
D. 288
4. How many ways can 3 identical green candles and 7 identical blue
candles be arranged in a row in any variation?
A. 21
B. 3,628,800 C. 30,240
D. 120
How many ways can 8 keys be arranged on a key ring with no chain?
Answer:
anything else you need me to bring anything for you to come over and watch the kids tonight and I will be there in about the work I do not have a good day at work love you too baby girl I love you too baby a
the diameter of a circle measures 20 cm. What is the circumference of the circle?
Step-by-step explanation:
the circumference of a circle is
2×pi×radius = pi×diameter
so, in our case
pi×20 = 62.83185307... cm
The table shows the ratio of people who ate a certain type of lunch to the total number of people who ate lunch. A total of 840 people ate lunch. What statement is true?
The sum of the individual lunch ate by people is equal to the total number of people who ate lunch.
What is an equation?An equationi is an expression that shows the relationship between two or more variables and number.
Given that the total number of people who ate lunch is 840, hence:
The sum of the individual lunch ate by people is equal to the total number of people who ate lunch.
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find the sum of the arithmetic series shown below 10+9+8… +(-255)
Answer:
−228
Step-by-step explanation:
10+9+8+−255
Add 10 and 9 to get 19.
19+8−255
Add 19 and 8 to get 27.
27−255
Subtract 255 from 27 to get −228.
−228
A company is considering two different prize policies for a sweepstakes. In Policy A, the cost to enter is $5. and the overall win rate is 10%. 90% of the winners receive a product worth $10. 9.5% of the winners receive a product worth $50, and 0.5% of the winners receive $250 in cash. In Policy B, the cost to enter is $10, and the overall win rate is 15%, 80% of the winners receive a product worth $10, 18% of the winners receive a product worth $50, and 2% of the winners receive $250 in cash.
The company predicts that Policy A will attract 10.000 entries, and Policy B will attract 5000 entries. Which policy makes the largest proſt for the company? By how much?
a. Policy A, by 1500
b. Policy A, by 4000
c. Policy B, by 1500
d. Policy B, by 4000
An explanation would be really awesome!
The policy that makes the largest proſit for the company is Policy A, by $1500.
Which policy makes the largest proſIt?Profit is the amount paid by people to enter the sweepstakes less the amount they can win.
Policy A's profit: $5 - 0.1[(0.9 x $10) + (0.095 x $50) + (0.005 x $250)] = $5 - 1.5 = $3.5
$3.5 X 10,000 = $35,000
Policy B's profit:10 - 0.15[(0.8 x 10) + (0.18 x 50) + (0.02 x 250) = 10 - 3.30 = 6.7$6.7 X 5000 = $33500
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Can someone please answer this, ill give you brainliest Would be very appreciated.
For the function: (x-4)(x+2)
y intercept: (0, -8)x intercept: (-2, 0) and (4, 0)vertex: (1, -9)Point these coordinates and draw a curve on the graph.
Answer:
See below ~
Step-by-step explanation:
Information needed to sketch the graph's function :
x-intercepts : (4, 0) and (-2, 0)Vertex : (1, -9)y-intercept : (0, -8)Graph :
By plotting these points on a graph, and connecting the points by a curve, we obtain the resultant graph of the function :
What is the slope of the line that passes through the points (-7,-2) and
(-2,-22)? Write your answer in simplest form.
[tex](\stackrel{x_1}{-7}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-22}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-22}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-7)}}}\implies \cfrac{-22+2}{-2+7}\implies \cfrac{-20}{5}\implies -4[/tex]
What is the number of degrees
Answer:
Step-by-step explanation:
Remark
Since this is a multiple choice question, you need not worry excessively about solving the equation that sin(4x) and Cos(3x + 13) produce. It can be done, but you will spend a lot time and drink a lot of coffee doing it.
C
The wording of this problem is not the best. 13 is not in any way considered.
4x = 4*13 = 523x + 13 = 52.Not only are the two angles equal (52) but they add to 104 which is greater than 90.
11 is the next one you should look at
4*11 = 44
3*11 + 13 = 46
That gives you the right answer, but the question you have to ask yourself is are you answering the question? I don't think you are. The question is the number of degrees in the smaller angle. I think that means that you have already substituted a value for x.
I think the answer is C.
1. A team loses 20 yards and then they gain 7
yards. What integer represents the total yards
gained or lost?
Answer:
The team lost 13 yards
Step-by-step explanation:
They lose 20 then gain 7. so the equation would be 20-7=13
help, I need it by 9:00 am
Option B. because all rational numbers are integers.
Have a look at the above venn diagram showing the relationship between - Real, irrational, rational, integers, whole and natural numbers.
[tex]\longrightarrow{\green{Option \: B.}}⟶Option \: B.[/tex]
What is the value of the 3 in the following numbers?
a) 37
b) 389
b) 6.38
c) 2873
c) 0.048
2 What is the value of the 8 in the following numbers?
a) 0.8
3 What is the value of the 5 in the following numbers?
a) 573
b) 8596
b) 0.71
c) 0.54
c) 401
4 What is the value of the 1 in the following numbers?
a) 18 300
d) 6.13
d) 184 000
d) 3.85
d) 0.041
Answer:
a.tens
b.hundreds
b.tenths
c. ones
c
the radius of the bigger circle is 9cm and the area of the shaded region is twice that of the smaller circle then how long is the radius of the smaller circle ?
Answer:
the radius of the smaller circle = 3√3.Step-by-step explanation:
let C' be the bigger circle
and C be the smaller circle and r its radius.
Area(C') = π × (9² - r²)
Area(C) = π × r²
Area(shaded region) = area(C') - area(C)
= π × (9² - r²)
the statement “the area of the shaded region is twice that of the smaller circle ” means π × (9² - r²) = 2 × π × r²
Now, let’s solve the equation:
π × (9² - r²) = 2 × π × r²
⇔ π × (9² - r² - 2r²) = 0
⇔ π × (81 - 3r²) = 0
⇔ 81 - 3r² = 0
⇔ 81 = 3r²
⇔ r² = 27
⇔ r = √27
⇔ r = 3√3
Answer:
6.32
Step-by-step explanation:
Area of bigger circle = π(9)² = 81π cm²
Area of smaller circle = π(9)²/2 = 81π/2 = 40.5πcm²
Area scale factor = (Linear Scale factor)²
81π/40.5π = 9²/x² {cancel the π}
81/40.5 = 81/x² (cross multiplication)
81x² = 40.5 × 81
√x² = √40.5 (square root both sides)
x = 6.32
Quinn mailed four postcards that each cost $0. 25, five letters that each cost $0. 44, two large envelopes that each cost $0. 80, and one small package for $5. 10. Which cost on the list of mailing fees on Quinn’s receipt would skew the mean? the cost of a postcard the cost of a letter the cost of a large envelope the cost of the small package.
Answer:
The cost of the small package because...
Step-by-step explanation:
Cost of 1 postcards = $0.25
Cost of 4 postcards = 0.25 x 4 = 1
Cost of 1 letter = $0.44
Cost of 5 letters = 0.44 x 5 = 2.2
Cost of 1 large envelope = $0.80
Cost of 2 large envelopes = 0.80 x 2 - 1.6
Cost of 1 small package =$5.10
Since the cost of small package is highest
So, It will increase the mean
So, the cost of the small package will skew the mean
Can someone please help me with this?
Answer:
1 m^3
Step-by-step explanation:
Assume hight 4 and ength 4.
2, 1, 1 = 1
Please answer
taylor is playing a board game with two friends. using a single dice, one friend rolled a one, and the other friend rolled a three. taylor needs to roll a number higher than both than both friends in order to win the game, and she wants to calculate her probability of winning. how many desired outcomes should taylor use in her probability calculation?
a. 3
b. 4
c. 6
d. 2
Using the probability concept, it is found that the number of desired outcomes that Taylor should use in her calculation is given by:
a. 3
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, Taylor needs a number greater than 3, which for the dice are 4, 5 and 6, that is, 3 desired outcomes, hence option A is correct.
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Answer: The answer is 3
Step-by-step explanation:
1/3 + 1/4 + ? = 1
? = the answer
Answer:
5/12 (corrected)
Convert with lowest common denominator, 12(find by multiplying)
1/3 = 4/12
1/4 = 3/12
Add the fraction's numerators
4 + 3 = 7
Subtract by 1 whole
7/12 - 12/12 = 5/12
Thus, your answer is 5/12
Answer:
5/12
Step-by-step explanation:
to give the fractions the same denominator, find their gcm
3 * 4 = 12
therefore multiply 1/3 by 4/4 to get 4/12
multiply 1/4 by 3/3 to get 3/12
3/12 + 4/12 = 7/12
to find the remainder subtract
12/12 - 7/12 = 5/12
your answer is 5/12
hope this helps:)
Solve for z in the figure below.
Answer:
z = 54
Step-by-step explanation:
x° = 45° (vertical angles)5y° + 45° = 180° (Linear pair angles)-> 5y° = 180° - 45°-> 5y° = 135°-> y° = 135°/5-> y° = 27°Next, find the measures of the angles of the triangle.x° + 3y° + z° = 180° (By interior angle sum theorem of a triangle)-> 45° + 3(27°) + z° = 180°-> 45° + 81° + z° = 180°->126° + z° = 180° -> z° = 180° - 126°-> z° = 54°-> z = 54a 2 -gallon container of window costs 31.36. what is the price per cup
Answer:
0.98 $/cup
Step-by-step explanation:
The final answer asks for price/cup, as "per" means "divided by".
So, our final units will be in $/cup.
We are given that for every 2 gallons, it will cost $31.36.
In order to get from gallons to cups, we need to convert units.
In 1 gallon, there are 16 cups.
So, our conversion factor will be 16 cups/1 gallon.
[tex]\frac{31.36}{2} *\frac{1}{16} \\\\= 0.98[/tex]$/cup
Important things to note:
- With these types of problems, it makes it much easier if you just figure out what units you need in the final answer, and then use conversions and dimensional analysis to get the answer
For an end of the year party, Ms. Dean purchased 96
stickers, 80 lollipops, and 40 cookies. Each student will
receive an equal number of each. There will be no stickers,
lollipops, or cookies left over. What is the greatest number
of students Ms. Dean can have in her class?
Answer: 15
Step-by-step explanation:
Can't figure out the other ones. There are two inages for this. Use the square to answer the following questions. DC=8.5 and DW=6
Answer:
6; 12; 8.5; 90°; 90°; 45°; 45°
Step-by-step explanation:
A square has all sides the same length, and diagonals the same length. The diagonals bisect the right angles in the corners, and they cross at right angles.
__
As you have already observed, ...
BW = DW = 6
AC = BD = 2(DW) = 2(6) = 12
Further, ...
DA = DC = 8.5 . . . . sides of a square are the same length
∠DWA = 90° . . . . . diagonals cross at right angles
∠ABC = 90° . . . . . corner angles are right angles
∠ABD = 45° . . . . . the diagonal cuts the corner angle in half
∠DCA = 45° . . . . . all of the acute angles are congruent
_____
Additional comment
A square is a rhombus that is also a rectangle. The relevant characteristics are ...
all sides of a rhombus are congruentthe diagonals of a rhombus cross at right angles. Each bisects the vertex angles at either end, which are congruent.the corner (vertex) angles of a rectangle are right anglesJames read 4 pages in a book in 6 minutes. How
long would you expect him to take to read 6
pages?
Answer:
We can solve by using a proportion
4 pages/6 minutes = 6 pages/x minutes .... cross-multiply.....
4x = 36 divide by 9 on each side
x = 9 minutes
Step-by-step explanation:
A, B and C lie on a straight line segment.
A, E and D lie on a straight line segment.
BE = 1.75m, CD = 7m and BC = 1.5m.
Work out the length of AB.
A
E
B
D
С
The value of AB id 0.5 unit.
What is AAA similarity ?The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that “If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar”.
What are corresponding angles?Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal are called corresponding angles and they are always equal.
According to the given question.
A, B and C lie on the straight line segment. and A, E, and D are also lie in the straight line segment.
Also, BE = 1.75m, CD = 7m and BC = 1.5m
Now, in ΔAEB and ΔADC
EB is parallel to BC
So,
∠AEB ≅ ∠ADC (corresponding angles)
∠ABE ≅ ∠ACD (corresponding angles)
∠EAB ≅ ∠DAC (common angle to the both triangle)
Hence, by AAA Similarity rule
ΔAEB is similar to ΔADC
Therefore,
[tex]\frac{AE}{AD} =\frac{BE}{CD} =\frac{AB}{AC}[/tex] (sides of the similar triangles are in proportion)
So,
[tex]\frac{BE}{CD} =\frac{AB}{AC} \\\implies \frac{AB}{AC} =\frac{1.75}{7} ....(i)[/tex]
Now, AC = AB + BC (as, A, B, and C lie on a straight line)
[tex]\implies \frac{AB}{AB+BC} =\frac{1.75}{7}[/tex] (from (i))
[tex]\implies \frac{AB}{AB+1.5} =\frac{1.75}{7}[/tex]
[tex]\implies 7AB = 1.75AB + 1.75(1.5)[/tex]
[tex]\implies 7AB -1.75AB = 2.625[/tex]
[tex]\implies 5.25AB = 2.625[/tex]
[tex]\implies AB = \frac{2.625}{5.25} = 0.5[/tex]
Hence, the value of AB id 0.5 unit.
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Drag the tiles to the correct boxes to complete the pairs.
Match each word problem to the equation that models it.
Matching each word problem to the equation that models it :
The sum of the squares of two positive integers is 394. if one integer is less than the other and the larger integer is x, find the integers. is modelled by : 2[tex]x^{2}[/tex] - 4[tex]x[/tex] - 390 = 0The sum of a positive integer x, and its inverse is [tex]\frac{4}{3}[/tex]. Find the integer models = 3[tex]x^{2}[/tex] - 4[tex]x[/tex] + 3 = 0The numerator of a fraction is 5 more than its denominator, if 3 is added to both the numerator and denominator, the fraction reduces to [tex]\frac{4}{3}[/tex]. Find the original fraction if x is its denominator models 3[tex]x[/tex] + 24 = 4[tex]x[/tex] + 12Meaning of word problemA word problem is a problem that is written in english format. the student is left with a task to unravel and transform it to a mathemtical equation.
in conclusion, the word problem has been matched to their individual equation they model.
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Simplify: 39x+21x-4. Round to the nearest ten
Answer:
60x-4
Step-by-step explanation:
39x+21x=60x
Therefore, you are left with 60x-4, which is in its simplest form.
Find the slope of the tangent line to the curve y = 3x2
- 2x at the point (1,2)
Studying for final pls help
Answer:
slope is 4
Step-by-step explanation:
since your trying to find the slope of the tangent line, you have to find the first derivative, once you do plug in your x to give your slope at the designated spot,
Creating a dot plots. Use the data plot below to create a dot plot
Answer:
Here
Step-by-step explanation:
Depending on the amount of the number listed on the graph shows the dot amount
How to factorise x2+x+1
Answer:
x2- 2x+1 =x2-x-x+1
=x(x-1) -1(x-1)
=(x-1)(x-1)
We need to keep it this way as this is the simplest way of expressing its factors.
-1
find the result of 765 times 95 divided by 5?
please help me
Answer:
14,535
Step-by-step explanation:
765 times 95 : 765 x 95 = 72,675
divided by 5 : [tex]\frac{ 72,675}{5} = 14,535[/tex]
Let me know if you want an even more in-depth answer
Happy to do so !
The solution of expression 765 times 95 divided by 5 is,
⇒ 14,535
We have to given that,
To find value of 765 times 95 divided by 5.
We can solve it in two parts,
⇒ 765 times 95
⇒ 765 x 95
⇒ 72,675
And, It is divide by 5,
⇒ 72,6756 / 5
⇒ 14,535
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can someone help me with this?
240 cm³
volume of rectangular prism:
Length * Width * Height
4 cm * 20 cm * 3 cm
240 cm³
Answer
20x4x3= 240
Step-by-step explanation:
Length x Width x Height
Mary works in a factory that produces 1000 computers each day. When 25 computers were sampled, 7 were found to be defective. Estimate how many computers produced are defective per day.
A) 300 computers
B) 260 computers
C) 290 computers
D) 280 computers
Answer:
the correct is D. 280
Step-by-step explanation: