Answer:
A= 3x B= 6/8
Step-by-step explanation:
The value of a is 7, and the value of b is 2√(2) for the given quadratic function f(x) = x² - 14x + 53.
What is a quadratic function?The quadratic function is defined as a function containing the highest power of a variable is two.
The quadratic function f(x) = x² - 14x + 53 is equal to zero when x = a + bi or x = a - bi. This means that the roots of the quadratic equation are a + bi and a - bi.
The roots of a quadratic equation can be found using the quadratic formula:
x = (-b +/- √(b² - 4ac)) / (2a)
In this case, a = 1, b = -14, and c = 53. Substituting these values into the quadratic formula, we get:
x = (-(-14) +/- √((-14)² - 4153)) / (2*1)
x = (14 +/- √(196 - 212)) / 2
x = (14 +/- √(-16)) / 2
Since the square root of a negative number is an imaginary number, the roots of the quadratic equation are a + bi and a - bi, where a = 14/2 = 7 and b = √(-16)/2 = 2√(2).
Therefore, the value of a is 7, and the value of b is 2√(2).
Learn more about quadratic function here:
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There is a row of 15 trees in a garden. Starting from the first tree, a gardener marked every second tree, then, on his way back, he marked the first tree, and then every third tree. How many trees are left without a mark?
Answer:2
Step-by-step explanation:
15/3 = 5
15/2 = 7.5
+1
= 13
15 - 13 = 2
=====================================================
Explanation:
The gardener starts at the first tree and then marks every second tree. So they'll skip a tree each time.
The set of trees he marks has the labels {1,3,5,7,9,11,13,15}. Basically it's the set of odd whole numbers between 1 and 15. Or you could notice that we add on 2 each time we need another tree to mark.
Then he goes back to the first tree and marks every third tree. So we have this new set: {1,4,7,10,13}. Start at 1 and add 3 each time to generate a new item.
Union the two sets mentioned and you'll get {1,3,4,5,7,9,10,11,13,15}
We see that the following trees aren't marked: {2,6,8,12,14}
There are 5 items in that last set.
Side note: The trees with labels {1,7,13} have been marked twice. There's a gap of 6 units between each adjacent label.
Could someone answers these! I Really NEED HELP
Answer:
(3x + 5) (x - 3)
Step-by-step explanation:
This is the quadratic expression
The sum of two numbers is 25. One number is twice the seond number plus seven.
What are the two numbers?
Suppose x=7 is a solution to the equation 4x-2(x+a)=8 how can you find the value of a that make the equation true
Answer:
a = 3
Step-by-step explanation:
Since x = 7 is a solution, substitute x = 7 into the equation and solve for a
4(7) - 2(7 + a) = 8 , that is
28 - 2(7 + a) = 8 ( subtract 28 from both sides )
- 2(7 + a) = - 20 ( divide both sides by - 2 )
7 + a = 10 ( subtract 7 from both sides )
a = 3
What is 7/6 as a decimal
I need it I the next 5 mins please!
I’ll give brainliest
Hey there!
7/6
= 7 ÷ 6
= 1.166667
Therefore, your answer is: 1.166667 which is approximately 1.67 or 1.7
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Help I’ll give brainliest
Answer:
Is it 95 If it is give me brainliess
Step-by-step explanation:
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
y = 5/4x
Step-by-step explanation:
To find the equation of the line, we'll have to find the slope only, since we already know that the equation is proportional and therefore has no y-intercept that we need to worry about.
So, to begin, we'll have to make a slope triangle using two of the points on the line - the points I chose are (0, 0) and (4, 5). Then, I drew a slope triangle - the change in y was 5, and the change in x was 4. To find the slope, we divide the change in y by the change in x, giving us a slope of 5/4. Because of this, our equation must be y = 5/4x.
Hopefully this is helpful! You can refer to the picture I attached if you would like to see how my slope triangle looks. :)
Answer:
Step-by-step explanation:
y = 15
x = 12
The y intercept is zero so the slope is simply
m = y /x
m = 15/12
m = 5/4
The equation is
y = 5/4
2
A baseball team won about 62% of 162 games in a season.
About how many games did they win?
Answer:
the one about 100 games
Step-by-step explanation:
62 percent *162 =
(62:100)*162 =
(62*162):100 =
10044:100 = 100.44
this rounds to 100
Answer:
About 100 games
Step-by-step explanation:
162 * 0.62 = 100.4
100.4 rounded is 100
SOMEONE HELP ME WITH THIS ASAP FOR BRAINLIEST THANK YOU!
Answer:1. (1,2) 2.(-1,0)
Step-by-step explanation:
1. 5x-4(-3x+5)=3 x=1 2. 3(2y-1)-2y=-3 y=0
y=-3x1+5 y=2 Plug them in X=2x0-1 x=-1 plug them in
13. If r + 9 = 42, does r +9-9=42 +9?
Why or why not?
Answer:
no
Step-by-step explanation:
if u subtract negative nine from one side of the equation, in order to keep both sides of the equation equal, you must subtract 9 from the other side. moreover, if you subtract nine from one side and add 9 to the other, there will be a 9+9=18 difference in values of both sides
brainliest pls thanks
8:07, 8:58, ?, 10:43, 11:37
9:51
9:50
9:53
9:49
Answer:
9:50
Step-by-step explanation:
because, 8:07 ->8:58 +51
...+52
...+53
A pattern can either follow an arithmetic sequence, a geometric sequence or a user defined sequence.
The term that completes the sequence is (d) 9:49
The sequence is given as:
8:07, 8:58, ?, 10:43, 11:37
The above sequence follows an arithmetic sequence, and the common difference (d) is calculated using:
d = 8:58 - 8:07
This gives
d = 51 seconds
The missing term (which is the third term) is then calculated using:
T3 = 8:58 + 51 seconds
This gives
T3 = 9:49
Hence, the term that completes the sequence is (d) 9:49
Read more about arithmetic sequence at:
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Simplify.
(2⁴)³
its telling me to write at least 20 characters so uhm-- ignore the rest of this weeeeeeeeeeeeeeeeee
Answer:
4096
Step-by-step explanation:
Explanation:
The rule we use is (a^b)^c = a^(b*c). It says to multiply the exponents when we raise one exponential expression to another exponent. The base stays the same.
So, (2^4)^3 = 2^(4*3) = 2^12
You could take the slightly longer path to say the following
(2^4)^3 = (2^4)*(2^4)*(2^4) = 2^(4+4+4) = 2^12
Can someone please help me!!?
Answer:
Step-by-step explanation:
Domain is all the x's on the graph. The graph does go from -3 to 4 (not including the -3 but including the 4). Pay attention to the use of () as well as [] on the answers. Those answers are not weird coordinates, they are intervals where the first number is the starting place and the second number is the end. Also on the graph one end point is an open circle which means it's not included on the graph and the other endpoint is a darkened circle which means it is included. The range is all the y's. It does go from -3 to 3. Increasing means the graph is going up from left to right and decreasing means the graph is going down left to right. The graph is positive when it is above the x-axis and negative when its below the x-axis. It seems like ALL of the statements about the graph are true.
i have a very hard question,
what is 1+2
please help asap
Answer:
The answer is 3.
Step-by-step explanation:
Eight times a certain number plus ten is equal to twelve times the same number minus seven
2x − 4y = -4 , 3x + 2y = 22 solve the system by elimination.
Answer: 5, 7/2
Step-by-step explanation:
2x − 4y = -4
3x + 2y = 22
divide both sides of the equation by 2
x − 2y = -2
3x + 2y = 22
Eliminate one variable by adding the equation; sum the equations vertically to eliminate at least one variable
4x=20
Divides both sides by 4
x=5
Substitute the given value of x into the equation 2x-4y = -4
2*5-4y =-4
solve the equation for y
y=7/2
pls help on my maths
Given:
[tex]A = 25[/tex]Let's simplify.
=> [tex]25 = \frac{22}{7} r^{2}[/tex]=> [tex]\frac{25}{\frac{22}{7} } = \frac{\frac{22}{7}r^{2} }{\frac{22}{7\\} }[/tex]=> [tex]\frac{7(25)}{22} = r^{2}[/tex]=> [tex]\sqrt{\frac{25(7)}{22}}= \sqrt{r^{2}}[/tex]=> [tex]\sqrt{\frac{25(7)}{22}}= r[/tex]=> [tex]r = 2.82[/tex] (Estimated)Therefore, r ≈ 2.82.
Hoped this helped.
Answer:
r= 5/√ π
or
r=2.820948 or simplified =2.82
Step-by-step explanation: it could be either one of these
3y=6
Find the slope of the line described by each equation
2 people start from the same spot one walking east the other walking west, the person walking east walks slowly at 4mph and the other person walks fast at 6mph writr and solve a system of equations that can be used to determine how ong until 2 people are 2 1/2 miles apart from ach otherr
Answer:
3\5
Step-by-step explanation:
I'll mark you brainlest if you answer this correctly please help
Answer:
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Can someone please answer this no bots answer this please… I’ll give you brainliest
Answer:
Part one:
Y=13.5x+1
Part two:
Y=12x+40
Part three:
After 15 seconds Sam: 203.5ft Alice:220ft
Alice won
Step-by-step explanation:
Evaluate the following expression 6⋅2+6^4 khan academy
Answer:
6.2+6^4
6.2+1.296
7.496
Solve: 2sec(x) 5 = 9 Which equation is equivalent to the given equation?.
Answer
9=5 equivalent
Step-by-step explanation:
Answer:
A. cos(x) = 1/2
Step-by-step explanation:
2sec(x) = 9-5 = 4
sec(x) = 4/2 = 2
1/cos(x) = 2
cos(x) = 1/2
f(1)=−6
f(2)=−4
f(n)=f(n−2)+f(n−1)
f(3)=f(3)=f, left parenthesis, 3, right parenthesis, equals
HURRY!!!!
the value of function at n = 3 is f( 3 ) is - 10.
To find the value of f( 3 ), we can use the given recursive formula:
f(n) = f( n - 2 ) + f( n - 1 )
We already have the values of f(1) and f(2):
f(1) = - 6
f(2) = - 4
Now, let's apply the recursive formula to find f(3):
f(3) = f( 3 - 2 ) + f( 3 - 1 )
f(3) = f(1) + f(2)
f(3) = - 6 + (- 4)
f(3) = - 10
So, the value of f(3) is - 10.
Learn more about recursive formula here
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GIVING BRAINLIEST
What is the solution to the system of linear equations graphed below?
Answer:
The first option so [tex](3\frac{1}{2}, -4)[/tex] is the answer
Skills required: Graphing Knowledge, Systems Knowledge
Step-by-step explanation:
1) The solution to any system is the intersection between any 2 lines or functions. In this case, we are given two functions on a graph, and need to find the solution to them. That is the intersection.
2) We can see the intersection and see that the x-axis value for the coordinate point is around 3 1/2 (or 3.5 -- whatever you prefer), and that the y-axis value for the point is -4.
Therefore, the coordinate point is: [tex](3\frac{1}{2}, -4)[/tex] since this answer best matches the coordinate values of that point.
==================================================================
Select the first option, have a nice day! :D
estimate quotients using compatible numbers lesson 4.5 answer key
4 its the correct answer do it
Step-by-step explanation:
its correct
The average laundry worker folds five
towels in a minute, but Miss Parker
folds eight! At the end of an hour,
how many more towels has she
folded than the average worker?
Answer:
Miss Parker folded 180 more towels than the average laundry worker
Step-by-step explanation:
5 multiplied by 60 gives you the average laundry worker- 5x60=300 towels per hour. Miss Parker can fold 8 per minute so you do 8 multiplied by 60 which would give you her average- 8x60=480. To find how many more towels she has folded than the average luandry worker you subtract miss Parker’s total from the average laundry person’s total giving you- 480-300=180
a farm is sold for $457000, which gives a profit of 19%. Find the profit
The answer sheet says it is $73,000
Answer: its 73,000
Step-by-step explanation: the answer sheet has the answers...
What is the slope of the line
please help me it's important
Answer:
circumference=2×3.142×radius
radius=16.8÷2=8.4
so,
circumference=52.7856cm