Answer:
B: For quadratic equations, the root is the same as the solution.
Step-by-step explanation:
In quadratic equations of the form ax² + bx + c = 0, the roots are usually gotten from the formula ;
x = [-b ± √(b² - 4ac)]/(2a)
Now, the roots gotten are also termed as solutions because every value of x which is a root gives a solution of 0 when plugged into the quadratic equation.
Basically, in quadratic equations, the roots are solutions to the equation.
Answer:
C
Step-by-step explanation:
How many bit strings of length 10 do not contain the substring 00? In other words, how many strings of length 10, consisting only of 1 and 0, in which there are no two consecutive zeros?
(In response, write down only the number without spaces.)
Answer:
144
Step-by-step explanation:
For a bitstring of length n, there are Fibonacci(n+2) strings containing no two consecutive zeros. This can be seen by constructing the strings starting with n=1.
1-bit strings: 1, 0 -- 2 strings not containing consecutive 0s
2-bit strings: 11, 10, 01 -- 3 strings not containing consecutive 0s
Note that we have added 1 to all the 1-bit strings, and added 0 only to the string ending in 1.
3-bit strings: 111, 110, 101, 011, 010 -- 5 strings not containing consecutive 0s
Note that these 5 strings consist of all (3) of the 2-bit strings with 1 appended, and all (1) of the 2-bit strings ending in 1 with 0 appended. The number that now end in 0 is the number previously ending in 1.
__
If (x, y) represents the numbers of n-bit strings ending in (0, 1), then the number of (n+1)-bit strings ending in (0, 1) is (y, x+y). That is, the recursive relation is ...
[tex](x_1,y_1)=(1,1)\\(x_n,y_n)=(y_{n-1},\,x_{n-1}+y_{n-1})\\b_n=x_n+y_n\quad\text{number of n-bit strings without consecutive 0s}[/tex]
For n=1 to n=10, these pairs are ...
(1, 1), (1, 2), (2, 3), (3, 5), (5, 8), (8, 13), (13, 21), (21, 34), (34, 55), (55, 89)
The sequence of b[n] values is ...
2, 3, 5, 8, 13, 21, 34, 55, 89, 144
which are the n=3 to n=12 numbers from the Fibonacci sequence.
That is, there will be Fibonacci(12) = 144 10-bit strings with no consecutive 0s.
f(x) = – x3 + 5x2 + 6x + 1 find the degree
To find the degree of this function, you would look at the first term of the function, which is 3. So, the degree of this function would be 3.
6/10 - 1/5= Pls help
Answer:
2/5?
Step-by-step explanation:
Answer:
4/10
Step-by-step explanation:
1/5 = 2/10
6/10 - 2/10 = 4/10
(if simplifyed your answer would be 2/5)
Identify all the numbered angles congruent to given angle . Explain
Answer:
Angles 2, 5 and 7 are congruent
Step-by-step explanation:
Two parallel lines cut by a transversal line so angles opposite each other are equal.
angles 7 and 5 are in same place as 2 and given angle
Is the statement 21:35 = 24:40 true?give reason
Answer:
Yes. The are equivalent to each other
Step-by-step explanation:
21 : 35
The LCM of these two numbers is 7
When we divide both of them by 7, we're left with 3:5
24 : 40
The LCM of these two numbers is 8
When we divide both numbers by 8, we're left with 3:5
And, 3:5 = 3:5, so we can say 21:35 = 24:40
PS: Also, if we multiply 21 : 35 by 8 and 24 : 40 by 7, we get the same result, i.e 168 : 280 which also proves that they are equivalent.
is my answer correct?
at sea level, the speed of sound is 3.40*10^2 meters per second. After 3 hours and 30 minutes, about how many kilometers could a sound wave travel A. 4.28x10^3km B. 7.14x10^3km C. 7.14x10^4km D. 6.73x10^4km E. 4.28x10^5
Answer:A
Step-by-step explanation:
I just did this one and that was correct
Evaluate the function. f(x)=x^3+x; find f (2)
Answer:
........................................
A circle is represented by the equation x2 + 8x + y2 – 12y = –29.
Describe the algebraic technique(s) needed to rewrite the equation in standard form. Identify the center and radius of the circle. Show your work.
A rectangular prism has a volume of 465 cm3, a length of 6.2 cm, and a width of 5 cm. What is the height of the prism?
Question 1 options:
5 cm
10 cm
15 cm
Answer:
15 cm
Step-by-step explanation:
basically, set it up like:
465 = 6.2 ·5·x
then, just solve for x
465 = 31x
x=15
I only answered cause of the killua pfp.
love it btw.
18
Jon's car can hold a maximum of 12 gallons of gas. Jon can drive 30 miles on each gallon of gas.
The number of miles Jon can drive depends on the number of gallons of gas in his car.
0/1
Identify the range of the data set.
Answer:
(0, 360]Step-by-step explanation:
Here we have relation between gallons of gas and the distance
The range depends on the domain which is limited up to 12 gallons
The range is:
From zero to 12*30 = 360 miles maximumData set:
(0, 360]True or false.The number -4/2 is the same as (-4)/2
Look at the figure. What is another name for CA?
Answer:
Ray AC.
Step-by-step explanation:
They are the same; if you look at the figure, you can see that A and C are the same distance from each other and a ray in either direction would be equivalent to its counterpart.
Answer:
AC
Step-by-step explanation:
There are 10 people at a party. The chef has 4 cups of spicy chicken and wants to give
each person a 1/3-cup serving. Explain why there is or is not enough spicy chicken to
give each person a 1/3 -cup serving.
Answer:
1/3 x 10 = 10/3, 10/3 = 3 1/3
Step-by-step explanation:
For 10 people he only would need 3 cups and 1/3 so he does have enough
please help! its extremely confusing
Answer:
x = 10, y = 20
Step-by-step explanation:
7x + 20 + 90 = 180 (adj angle on st line)
therefore x = 10
5x + 2y = 90 (vertically opposite angle)
2y = 40
y = 20
Kris’s mom is putting up border on the walls of Kris’s room. Her room is 12 feet long and 10 feet wide. How much border will be needed to go all the way around the room? 22 feet 120 feet 42 feet 44 feet
Considering the perimeter of the rectangle, it is found that 44 feet will be needed to go all the way around the room.
What is the perimeter of a rectangle?The perimeter of a rectangle of length l and width w is given by:
P = 2(l + w)
In this problem, we have that the length and the width, are respectively, given by l = 12 and w = 10, hence:
P = 2(l + w) = 2(12 + 10) = 44.
44 feet will be needed to go all the way around the room.
More can be learned about the perimeter of a rectangle at https://brainly.com/question/10489198
If the function rule is y=2x, what is the output when the input is 10
Answer:
20
Step-by-step explanation:
The input (X) is 10. The output (Y) is 2X Which means 2 times X. So your answer is 2 × 10 which is 20.
Solve for the indicated variable. Include all of your work in your answer. Submit your solution.
A=h/2(a+b); for h
Answer:
[tex]\displaystyle h= \frac{2A}{a+b}[/tex]
Step-by-step explanation:
The given formula is:
[tex]\displaystyle A=\frac{h}{2}(a+b)[/tex]
We need to solve the formula for h.
Multiply by 2:
[tex]2A=h(a+b)[/tex]
Divide by (a+b)
[tex]\displaystyle \frac{2A}{a+b}=h[/tex]
The required solution is:
[tex]\displaystyle h= \frac{2A}{a+b}[/tex]
If h(x) = x - 7 and g(x) = x^2, which expression is equivalent to (gº h)(5)?
(5 – 7)^2
(5)^2 - 7
(5)^2(5 – 7)
(5 – 7)x^2
Answer:
(5-7)^2 because g(x) is the value of h(x) squared
x-7, s = 5
5-7)^2
Step-by-step explanation:
18 9/11+8 11/14+2 12/11+15 3/14
Answer: 8109/77 in decimal form 105.31169
Step-by-step explanation: simplify 153/4
189 811 212 153
((———+———)+———)+———
11 14 11 14
212
Simplify ———
11
Find the Least Common Multiple
The left denominator is : 11
The right denominator is : 14
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
11 1 0 1
2 0 1 1
7 0 1 1
Product of all
Prime Factors 11 14 154
Least Common Multiple:
154
Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 14
Right_M = L.C.M / R_Deno = 11
Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 14535
—————————————————— = —————
L.C.M 154
R. Mult. • R. Num. 153 • 11
—————————————————— = ————————
L.C.M 154
Adding fractions that have a common denominator :
7.4 Adding up the two equivalent fractions
14535 + 153 • 11 8109
———————————————— = ————
154 77
8109
———— = 105.31169
77
(-2.66) multiplied by (18.44)
Answer:
I think the answer you're looking for is -49.05
(longer version: -49.0504)
What type of lines are shown on the grid below?
Answer:
straight angle and right angle virtually opposite angle
. If a + b < 8 and a = 2, then b < 5. Which of the following would be a counterexample? Ab= 3 Bb = 5 Cb = 6 Db = a
Answer:
B
Step-by-step explanation:
If a=2, then a+5 is still less than 8. This counter example proves that b is not less than 5, but is less than 6.
The counterexample of the given statement is;
⇒ b = 5
Option B is true.
What is Function?
A relation between a set of inputs having one output each is called a function.
The conditions is given as;
If a + b < 8 and a = 2, then b < 5.
Now,
Let b = 5
Then, a + b = 2 + 5 = 7, is less than 8.
But b= 5 is not less than 5.
So, The counterexample of the given statement is;
⇒ b = 5
Option B is true.
Learn more about the function visit:
https://brainly.com/question/3831584
#SPJ5
Which expression is equivalent to (3x^2)(5x^-2
[tex] \frac{3x {}^{2} }{5x {}^{2} } = \frac{3}{5} [/tex]
If;= V-1, what is the value of ; i3?
-1
i
1
-i
Answer:
A. -1
Step-by-step explanation:
hope this helps
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Find the values of x and y if:
4x - 2y= -4 and y = 2/3x + 8/3
Answer: x = 3/4; y = 19/6
Step-by-step explanation:
plug in y = 2/3x + 8/3 into 4x - 2y = -4
4x - 2(2/3x + 8/3) = -4
4x - 4/3x - 18/3 = -4
12/3x - 4/3x = -12/3 + 18/3
8/3x = 6/3
8/3x = 2
x = 2(3/8)
x = 6/8 = 3/4
plug the x value into y = 2/3x + 8/3
y = 2/3(3/4) + 8/3
y = 1/2 + 8/3
y = 3/6 + 16/6
y = 19/6
What type of number is 9090.9?
Answer:
It's a palindrome - in that it reads the same backwards as forwards - so long as the decimal point remains in the same place.
Step-by-step explanation:
Does the graph represent a function? Please help. Look at photo
Answer:
A function is defined as an operation on a number, which gives only one output for every input
while graphing a function, the x-ordinate denotes the input and the y-ordinate denotes the output of the function
Now, lets look at the graph
for the input value '4' , we notice that there are 2 possible outputs. The output can be either 2.5 or -2.5
Since there are multiple outputs for almost every input, this graph cannot denote a function since a function gives only one output
An older person is three years older than eight times the age of a younger person. The sum of their age is 21. Find their ages.
Lets have the younger person be x.
The older person will be 8x + 3.
The sum of their ages is 21, so we can get this equation:
x + (8x+3) = 21
9x+3 = 21
Subtract 3 from both sides
9x = 21
x=3 --> The younger person is 3 years old, and now we can substitute that for the older person (8x+3):
(3 * 8) + 3 = 27
The younger person is 3 years old, and the older person is 27.
A watercolor painting is 20 inches long by 12 inches wide. Ramon makes a border around the watercolor
painting by making a mat that adds 2 inches to each side of the length and the width. What is the area of
the mat?
2 in
20 in
12in
The area of the mat is
square inches.