Answers
The maximum occurs at x = -b/2a
Using f(x) = ax^2 +bx +c
Replace a and b in the equation.
a = 2
b = 8
Now you have x = -8 / 2(2)
x = -8 / 4
x = -2
The maximum is -2
Related Questions
Eliminate the parameter.
x = t + 4, y = t2 (5 points)
y = square root of x + x + 4
y = square root of quantity x minus four
y = x2 + 16
y = x2 - 8x + 16
Answers
Answer:
Last option
Step-by-step explanation:
We have the following equations:
[tex]x = t + 4\ ,\ \ y = t ^ 2[/tex]
The parameter that we must eliminate is t.
To eliminate the parameter we must clear t from both equations:
[tex]x = t + 4\\\\x -4 = t[/tex]
[tex]y = t ^ 2\\\\\sqrt{y} = t[/tex]
if [tex]t = \sqrt{y}[/tex] and [tex]t = x-4[/tex]
So:
[tex]\sqrt{y} = x- 4[/tex]
We square both sides of the inequality
[tex]y = (x-4) ^ 2\\\\y = x ^ 2 -8x +16[/tex]
There are 4 KSU socks and 3 KU socks in a drawer. What is the probability of randomly selecting a KSU sock?
Answers
It's step by step. First you need to do 4+3 which equals 7, which is the total number of socks. Since the number of KSU socks is 4, the probability is 4/7.
Note-If another problem like this comes up and the two numbers have a common factor divide those numbers by that common factor and you get the simplest form of the ratio. This note was just a heads up.
Find the area of a square with side of 7 feet. 56 ft.2 49 ft.2 14 ft.2
Answers
Answer:
49 sq ft
Step-by-step explanation:
multiply 7 by 7
Answer:
49 ft.
Step-by-step explanation:
All sides of a square are equal so, that means all sides are 7 ft long
You have to multiply 7 x 7 because all sides are 7 ft long
7 x 7 = 49
8,327.8 minus 12.034
Answers
Answer:
8327.800
- 12.034
___________
8315.766
Step-by-step explanation:
The answer would be:
8,315.766
To solve this you do:
8,327.8 subtracted by 12.034
Once you do you end up with your results.
Hope this helps! :3
Plz help !! Need to graduate
Answers
[tex] \sqrt[4]{10x {}^{2} } [/tex]
the answer to the question
Nick types 275 words in 2.5 minutes. At this rate, how many hours would it take for him to type 9900 words?
Answers
First, find how many words Nick types in an hour by multiplying 275 * 60.
Nick types 16,500 words per hour.
Now just divide 9,900 by 16,500.
It takes Nick 3/5 of an hour to type 9,900 words. (0.6 hours)
Please consider marking this answer as Brainliest to help me advance.
Which operation has an inverse relationship with multiplication? A. Addition B. Division C. Squaring D. Subtraction
Answers
Answer:
B. Division
Step-by-step explanation:
inverse - something that is the opposite or reverse of something else.
Mathematically, inverse operations are opposite operations. Addition is the opposite of subtraction; division is the opposite of multiplication, and so on. Inverse operations are used to solve simple algebraic equations to more difficult equations that involve exponents, logarithms, and trigonometry.
Division is the operation that has an inverse relationship with multiplication, as they 'undo' each other through the use of reciprocals.
Explanation:The operation that has an inverse relationship with multiplication is division. In mathematics, inverse operations are pairs of operations that 'undo' each other. Just as subtraction is the inverse operation of addition, division is the inverse when it comes to multiplication. When you multiply a number by another number, you can reverse this action by dividing the product by the same number.
To better grasp this concept, let's consider the relationship between multiplication and division with fractions. If we divide by 8, it is equivalent to multiplying by 1/8. Conversely, multiplying by 1/8 is the same as dividing by 8. Therefore, these two operations, multiplication and division, are interconnected through the use of reciprocals.
Macy's is having a special on t-shirts. You can buy each at its regular price of $10.99, $11.90 and $10.08 or you can buy 3 t-shirts for $25. Julie bought one of each t-shirt at the sale price of $25. What percentage of the original total price did Julie save?
Answers
Answer:
24.2%
Step-by-step explanation:
The total regular price was:
$10.99 + $11.90 + $10.08 = $32.97
She paid:
$25
She saved: $32.97 - $25 = $7.97
Now we need to calculate what percent of $32.97 is $7.97.
To find what percent a number is of another number, divide the first number by the second number and multiply by 100.
percent saved = $7.97/$32.97 * 100 = 24.2%
Part (b)
Harry, Julie's best friend, also paid $25 for 3 t-shirts at a sale at another store. The sale price saved Harry 30% of the original price of the 3 t-shirts. What is the original price of Harry's 3 t-shirts? Who got the better deal?
Harry paid $25 and saved 30% over his original price. Let his original price be x. The original price was 100% of the original price since 100% means the whole amount. Since he saved 30%, that means he paid 70% of the original price.
70% of the original price = $25
70% of x = 25
70%x = 25
0.70x = 25
0.70x/0.70 = 25/0.70
x = 35.71
The t-shirts Harry bought had an original price of $35.71.
Harry got the better deal because he bought t-shirts with an original higher price for the same $25.
Aaron designed a robot for a contest. His robot can move 3/4 meter in 1/2 second. What is the robot’s unit rate of speed
Answers
Answer:
3/4 divided by one half is multiplying by 2 so 6/4 meter
simplify 6/4 into 3/2 meters per second
Answer:
3/4 divided by one half is multiplying by 2 = 6/4 meter
simplify 6/4 into 3/2 meters per second
Step-by-step explanation:
3/4 divided by one half is multiplying by 2 = 6/4
and u simplify 6/4 into 3/2 meters per second
531.75 is 75% of what amount
Answers
75% × X =531.75
X =531.75/75
X = 7.09
Answers
7.09
Check! Proof!
75% × 7.09
=531.75
Can someone help me with this problem? Please.
Answers
Answer:
(7x-1)-3(7x-1)
Step-by-step explanation:
First write out the problem
7x^2-22x+3
Next, Factor the expressions
7x^2 - x - 21x + 3
Now factor the whole thing
x(7x-1)-3(7x-1)
Jaylyn rode her bicycle in a bike a thon she rode 33.48 miles in 2.7 hours If she rode at the same speed what was her speed in miles per hour
Answers
Answer 12.4
Step-by-step explanation:
33.48/2.7=12.4
Answer: 12.4
Step-by-step explanation: 33.48/2.7=12.4
I Hope This Helps!!!
Which answer is the correct one?
a survey asked 60 students if they play an instrument and if they are in band
1.- 35 students play and instrument
2.- 30 students are in band
3.- 30 students are not in band.
which table shows these dates correctly entered in a two way frequency table?
Answers
It would be A. First look at how many play an instrument. A is the only one with 35, which is seen in the total column. To confirm, look at the who is in band or not in band and you'll see in the total row, 30 were in band and 30 were not. This matches exactly with the prompt.
A is gonna be right for apex
brandon has 1 jill has 3 mark has 2 need Nicole has 4 and steve has 0 what is the mean
Answers
Answer: The mean is 2.
Step-by-step explanation:
The mean number is a group of numbers is the average. In this group, the numbers are 1, 3, 2, 4 and 0. The total of all of the numbers is 10. In order to calculate the average/mean you need to divide the total by the number of values, which is 10/5 = 2. The mean is 2.
Add the following lengths: 12'11" + 11'3" ‾‾‾‾‾‾ ' "
Answers
Answer:
12'11" + 11'3" = 24'2".
Hope this helps!
Davinia.
To add 12'11" and 11'3", convert excess inches to feet and add them to the total feet to get a result of 24 feet 2 inches.
To add the lengths 12'11" and 11'3", we first add the inches (11 inches + 3 inches = 14 inches). Since there are 12 inches in a foot, we convert the 14 inches into 1 foot and 2 inches. We then add the feet (12 feet + 11 feet + 1 foot from the inch conversion = 24 feet). Therefore, the total length is 24 feet 2 inches.
What fraction is equivalent to 0.4?
Answers
2/5
How? The decimal .4 is out of ten so it’s 4/10 but then you simplify it and get 2/5
Hope this helps and have a blessed day!
Using the place value chart we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction 4 out of 10 or [tex]\frac{4}{10}[/tex]. Notice however that [tex]\frac{4}{10}[/tex] is not in lowest terms so we need to divide both the numerator and denominator by the greatest common factor of 4 and 10 which is 5.
Therefore, 0.4 can be written as the fraction 2/5, which is in lowest terms.
Find y. Round to the nearest tenth
Answers
Answer:
17.24
Step-by-step explanation:
The value of y is 243 ft.
We can use the sine function to find the missing side.
sin(28°) = opposite / hypotenuse
sin(28°) = y / 500
y = 500 * sin(28°)
y = 500 * 0.485
y = 242.5 ft
Round to the nearest tenth:
y = 243 ft
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The cone shown has a diameter of 16 m and a slant height of 10 m which choice is the closest to the lateral surface area
Answers
Answer: 251 square meters.
Step-by-step explanation:
You need to use the formula for calculate the lateral surface area of a cone:
[tex]LA=3.14rl[/tex]
Being "r" the radius of the cone and "l" the slant height.
Calculate the radius:
[tex]r=\frac{diameter}{2}\\\\r=\frac{16m}{2}\\\\r=8m[/tex]
Now that you know the radius and the slant height of the cone, you need to substitute them into the formula for calculate the lateral surface area of the cone:
[tex]LA=(3.14)(8m)(10m)\\LA=251.2m^2[/tex]
Therefore, the closest choice to the lateral surface area of the cone is: 251 square meters.
Xa/xb = xa-b. This is the______of Powers of property. The word is 8 letters long
Answers
Answer:
This is the Quotient of Powers of property. HOPE THIS HELPS!!!
Step-by-step explanation:
Answer:
Power is the Correct Answer
Step-by-step explanation:
Hoped I helped anybody!!!
Parallel lines are preserved in which of the following types of transformations?
Answers
Parallel lines are preserved in:
Reflections, Translations & Rotations
Parallel lines maintain their geometric property of not intersecting through all three transformations: rotations, reflections, and translations. Therefore, the correct answer is Option B. l, II, and III.
Explanation:In the field of mathematics, particularly in geometry, transformations involve the manipulation of shapes while preserving their essential properties. In the case of parallel lines, their key property is that they do not intersect, regardless of their length.
Out of the transformations listed - rotations, reflections, and translations - parallel lines are preserved in all three. Therefore, your answer is Option B. l, II, and III.
Specifically, a rotation spins the figure around a fixed point, a reflection flips the figure over a line, and a translation slides the figure along a straight line, parallel to the original lines. In all these transformations, the lines remain parallel to each other.
Learn more about Parallel Lines and Transformations here:https://brainly.com/question/28340326
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the complete question is written below:
Parallel lines are preserved in which of the following types of transformations?
l. rotations
II. reflections
Ill. translations
A. I and II only
B. l, II and Ill
C. I only
D. I and III only
Write the expressions for when you translate the graph of y= x one unit up, one unit down, one unit to the left, one unit to the right
Answers
Answer:
Step-by-step explanation:
One unit up: y = x + 1
One unit down: y = x - 1
One unit to the left: y = x + 1
One unit to the right: y = x - 1
Final answer:
To translate the graph of y = x, add or subtract from either x or y in the equation; for example, translating one unit up is expressed as y = x + 1.
Explanation:
To translate the graph of the function y = x in various directions, we apply different transformations to the equation. For each translation, there's a specific algebraic manipulation:
One unit up: y = x + 1One unit down: y = x - 1One unit to the left: y = x + 1One unit to the right: y = x - 1Shifting a graph vertically involves adding or subtracting from the y-value, while shifting horizontally involves adding or subtracting from the x-value before it is plugged into the function.
Which decimals in the list are repeating decimals?
1/3
3/5
4/15
5/6
4/1,000
1 /34
Answers
Answer:
1/3, 4/15, 5/6, and 1/34.
Step-by-step explanation:
If you divide it and it keeps going when you divide it, it is a repeating decimal.
1/3=.333 repeating.
1/3, 4/15, 5/6, and 1/34 are the answers.
Amy handed out 79 donuts on National Donut Day. She still had 147 left to give out. Write and solve an equation to find out how much she started with.
Answers
[tex]x - 79 = 147[/tex]
147+79=226 Amy started with 226 donuts.
Final answer:
Amy started with 226 donuts. The equation x - 79 = 147 was solved by adding 79 to both sides to find x, representing the total amount of donuts she had originally.
Explanation:
The question involves solving a basic algebra problem to find the total number of donuts Amy started with. If Amy handed out 79 donuts and still has 147 left, we can set up the following equation where x represents the total number of donuts she originally had:
x - 79 = 147
To solve for x, we add 79 to both sides of the equation:
x - 79 + 79 = 147 + 79
x = 226
Therefore, Amy started with 226 donuts.
The coordinates of the vertices of the triangle shown are P(−7, 6), Q(5, −4), and R(−7, 4). Which measurement is closest to the length of PQ in units?
Answers
Answer:
The Answer Is D
Step-by-step explanation:
:)
Answer:
D) 15.6 units
Step-by-step explanation:
Apply the Pythagorean theorem,
the square root of 12^2 + (-10^2) = the square root of 244 = 15.6 units
Order the expressions from least value to greatest value.
Answers
-4.8 • 3.2 = -15.36 (negative times a positive is negative)
2 1/4 + (-1 2/5) first find a common denominator, which would be 20
9/4= 45/20
-7/5 = -28/20
since adding a negative is the same as subtracting a positive, you would subtract 45 and 28 which is 17.
17/20 = 1 3/20 (the answer)
turn the fraction into a decimal by dividing the top number by the bottom number, so 17/20 = 0.85
4.92 divided by -3 equals -1.64 (the answer)
-2 3/5 - (-1 2/5)
make them into improper fractions which is -13/5 and -7/5
it stays negative, so the answer is -6/5 or -1.2
so the answer is
-4.8 • 3.2 < 4.2 divided by -3 < -2 3/5 - (-1 2/5) < 2 1/4 + (-1 2/5)
The order of the expressions from least value to the greatest value is Number 1 < Number 3 < Number 4 < Number 2 and this can be determined by using the arithmetic operations.
Given :
Number 1 -- [tex]-4.8\times 3.2[/tex]
Number 2 -- [tex]2\dfrac{1}{4}+(-1\dfrac{2}{5})[/tex]
Number 3 -- [tex]\dfrac{4.32}{-3}[/tex]
Number 4 -- [tex]-2\dfrac{3}{5}-(-1\dfrac{2}{5})[/tex]
Evaluate the given expression to determine the order of the expressions from least value to the greatest value.
Number 1 --- [tex]-4.8\times 3.2 = -15.36[/tex]
Number 2 --- [tex]2\dfrac{1}{4}+(-1\dfrac{2}{5}) = \dfrac{9}{4}-\dfrac{7}{5}=\dfrac{17}{20}[/tex]
[tex]2\dfrac{1}{4}+(-1\dfrac{2}{5}) = 0.85[/tex]
Number 3 --- [tex]\dfrac{4.32}{-3}= -1.44[/tex]
Number 4 --- [tex]-2\dfrac{3}{5}-(-1\dfrac{2}{5})=-\dfrac{13}{5}+\dfrac{7}{5}= \dfrac{-6}{5}[/tex]
[tex]-2\dfrac{3}{5}-(-1\dfrac{2}{5})=-1.2[/tex]
Number 1 < Number 3 < Number 4 < Number 2
For more information, refer to the link given below:
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What do I do to answer this question
Answers
Answer:
16
Step-by-step explanation:
(-4) * (-4) = 16
BECAUSE... a negative times a negative equals positive
Answer:
16
Step-by-step explanation:
-4 X -4 = 16
B squared means a number times itself.
What is the area of the figure
Answers
Answer:
91 [tex]in^{2}[/tex]
Step-by-step explanation:
the formula for the area of a triangle is bh1/2 =A
b =12 h =7
12 x 7 = 84
84 divided by half (or multiplied by 0.5) = 42
the triangle is 42
and the square is...
7 x 7 =49
49 +42 = 91
91 [tex]in^{2}[/tex]
hope this helped! Please mark as brainlest! Thanks!
Choose the correct correspondence
D <->
Options
1.R
2.K
3.O
Answers
Answer:
K
Step-by-step explanation:
Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.
Angle D is congruent and corresponds to Angle K for these congruent triangles.
Answer:
k
Step-by-step explanation:
d is in the same place as k just its flipped if ya flip it it will be in the exact places just other sides
How many solutions does the system of linear equations have ? Y=3/4x+12
Answers
PLEASE HELP ME !!!!
Money that is earned is called
A. income
B. expenses
C. records
C. budget
Answers
Answer:
a
Step-by-step explanation:
Answer:
A. income
Step-by-step explanation: