Answers
Given:
The function is:
[tex]f(x)=4x^2-25x-21[/tex]
To find:
The domain of the given function.
Solution:
Domain is the set of input values.
We have,
[tex]f(x)=4x^2-25x-21[/tex]
It is a quadratic polynomial.
We know that a quadratic polynomial is defined for all real values of x. So, the given function is defined for all real values of x and the domain of the given function is:
Domain = Set of all real number
Domain = (-∞,∞)
Therefore, the correct option is B.
Related Questions
Can you find the surface area if it has a height of 5cm.
Answers
Answer:
767
Step-by-step explanation:
A quadratic equation that has x-intercepts of (-2,0) and (8,0), a stretch of 3 and a vertex is a minimum. Find the equation of the parabola
Answers
Answer:
c) The standard form of the quadratic equation, y = a·x² + b·x + c
The standard form of the quadratic equation is y = 3·x² - 18·x - 48.
Step-by-step explanation:
five hundred dollars and eighty two cents as a decimal
Answers
Answer:
500.82
Step-by-step explanation:
Answer: 500.82 mhm mhm yup
Drag tiles to fill in the blanks to complete the expression that could be used to predict the number of winners of a game. Tiles may be used once or not at all.
A)Total Number of Possible Outcomes B)Number of Winners
C)Number of Unfavorable Outcomes D)Number of Games
P(event) =
Number of Favorable Outcomes
_________________________
?????????????????????????????
=
?????????????????????????????
_________________________
11 Total Number of Contestants
(Pick two answers)
Answers
Answer:
First blank - A)Total Number of Possible Outcomes
Second blank - B)Number of Winners
Step-by-step explanation:
The exact question is as follows :
We know that,
Probability of an event is equals to Total number of Favorable outcomes divided by Total number of outcomes
So,
P(event) = Number of favorable outcomes ÷ Total Number of Possible Outcomes
As we have to predict the Number of winners of a game
So,
P(Number of winner) = Number of winners ÷ Total number of Contestants
∴ we get
P(event) = Number of favorable outcomes ÷ Total Number of Possible Outcomes
= Number of winners ÷ Total number of Contestants
Rewrite the equation by completing the square. 4x^2-4x+1=0
Answers
Answer:
[tex][x+(-1/2)^2]=0[/tex]-------------------
[tex]4x^2-4x+1=0[/tex][tex]4(x^2-x+1)-3=0[/tex][tex]x^2-x+1-3/4=0[/tex][tex]x^2-x+1/4=0[/tex][tex]x^2-2.x.1/2+(1/2)^2=0[/tex][tex](x-1/2^2)=0[/tex][tex]x+(-1/2)^2=0[/tex]---------------------
hope it helps..
have a great day!!
What is the circumference of this circle
R=2km
Answers
Answer:
12.57
Step-by-step explanation:
The formula is
2 (pie) r
2(pie)2
which would equal 12.57
solve the inequality 24<5x-1
Answers
Answer:
5 < x
Step-by-step explanation:
24<5x-1
Add 1 to each side
24+1<5x-1+1
25 < 5x
Divide by 5
25/5 < 5x/5
5 < x
Answer:
X>5.
Step-by-step explanation:
First you swap sides, so 5x-1>24. Then simplify to 5x>25, divide 25 by 5 to get 5.
Find the value of y when x=3.
y=10-3x
y=
Answers
y= 10-3x
y= 10-3(3)
y= 10-9
Therefore, y = 1
Answer:
the value of y is y= 1
Step-by-step explanation:
3×3=9
y=10-9
y= 1
4x + 3 + (-3) + 7x - 6x
Answers
Answer:
5x
Step-by-step explanation:
Answer:
2x+3 is it simplified
Step-by-step explanation:
a triangle flower bed has one angle of 64 degrees. the other two angles are congruent to one another. what are the measures of the two unknown angles?
Answers
Answer:
58 degrees
Step-by-step explanation:
well we know that every angle in a tringle adds up to 180 degrees.
so we know that 64 + angle 1 + angle 2 = 180
180-64=116
and since they are congruent (same value as one another) you just divide 116 by 2 and boom!
116/2=58
both are 58 degrees
PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A passenger and a freight train start toward each other at the same time from
two points 300 miles apart. If the rate of the passenger train exceeds the rate
of the freight train by 15 miles per hour, and they meet after 4 hours, what
must the rate of each be?
Answers
The rate of the passenger train must be 45 miles per hour, and the rate of the freight train must be 30 miles per hour.
Let's denote the rate of the passenger train as "P" and the rate of the freight train as "F". We are given that the passenger train's rate exceeds the freight train's rate by 15 miles per hour. Therefore, we can write the following equation:
P = F + 15
We are also given that the two trains start from points that are 300 miles apart and meet after 4 hours. We can use the formula distance = rate × time to set up two equations:
Distance covered by the passenger train: P × 4
Distance covered by the freight train: F × 4
Since they meet each other, the sum of their distances should add up to 300 miles:
P × 4 + F × 4 = 300
Substituting P = F + 15 into the equation, we can solve for F:
(F + 15) × 4 + F × 4 = 300
4F + 60 + 4F = 300
8F = 240
F = 30
Now that we have the rate of the freight train, we can substitute it back into the equation P = F + 15 to find the rate of the passenger train:
P = 30 + 15
P = 45
Therefore, the rate of the passenger train must be 45 miles per hour, and the rate of the freight train must be 30 miles per hour.
For such more questions Train Rates
https://brainly.com/question/28139363
#SPJ8
is 3.39 a rational number
Answers
Answer:
yes it can be written as 'a/b'
Step-by-step explanation:
3.39 is 3 39/100 which, as an improper fraction, is 339/100
as long as a decimal terminates or repeats then it is rational
examples:
.333 repeating is rational
the symbol π does not terminate or repeat so it is considered to be irrational
PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
Answers
Answer:
3=6
4=8
5=10
6=12
graph 1
Step-by-step explanation:
PLEASE I NEED HELP I DONT UNDERSTAND HOW TO DO ILL GIVW MORE IF RIGHT
Answers
Answer: 207 degrees
Step-by-step explanation:
Since a circle is 360 degrees,
103+50+35+27 = 215, 360-215=145
Add ED and BC to 145 to get - 207
someone please helppp, i have 2 days to do 28 assignments plus a final exam
NO LINKS OR FILES OR YOU WILL BE REPORTED
Answers
9
Step-by-step explanation:
1 = x^2 - 6x
Adding 9 to both sides, we get
1 + 9 = x^2 - 6x + 9
10 = (x - 3)^2
Note that the right hand side is now a perfect square.
Given: f (x) = 3x^2 + 2x – 1
Find: f (-2)
Answers
plug -2 into the x of the equation
The triangles have a scale of 3: 5. What is the value of a? *
Answers
Answer:
Step-by-step explanation:
multiply the ratio by 24/5 and you have
72/5 : 24
or
14.4:24
Write an equation if the line that passes through (0,-2) and (2,2)
Answers
Answer:
[tex]y=2x-2[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (0,-2) and (2,2)
[tex]=\frac{2-(-2)}{2-0}\\=\frac{2+2}{2}\\=\frac{4}{2}\\=2[/tex]
Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=2x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=2x+b[/tex]
Plug in one of the given points and solve for b
[tex]2=2(2)+b\\2=4+b[/tex]
Subtract 4 from both sides to isolate b
[tex]2-4=4+b-4\\-2=b[/tex]
Therefore, the y-intercept of the line is -2. Plug this back into [tex]y=2x+b[/tex]
[tex]y=2x-2[/tex]
I hope this helps!
The quadrilateral shown is rotated 90 degrees clockwise about the origin. In which quadrant is the image of the quadrilateral located? *
Captionless Image
Answers
Answer:
Option (2). 1
Step-by-step explanation:
Coordinates of point A, B, C and D are,
A(-4, 4), B(-2, 4), C(-2, 1) and D(-4, 3).
Quadrilateral ABCD when rotated 90° clockwise about the origin,
Rule for the rotation of the vertices,
(x, y) → (y, -x)
Following the rule of rotation coordinates of the image points,
A(-4, 4) → A'(4, 4)
B(-2, 4) → B'(4, 2)
C(-2, 1) → C'(1, 2)
D(-4, 3) → D'(3, 4)
Since all image points have the positive coordinates (x and y coordinates), image quadrilateral A'B'C'D' will be located in 1st quadrant.
Option (2) is the correct option.
that is the answer if it's wrong then it must of been wrong question I gave answer to or I just got it wrong
According to the graph what is the solution to this system of equations?
O 5.-7)
O €7.5)
O 5.7)
O 7.5)
Answers
Answer:
you showed no graph dude
This is the graph btw.
Simplify:
B^4 . B^3
^ = means I’m squaring it.
Answers
Step-by-step explanation:
B⁴×B³B^(4+3)B⁷stay safe healthy and happy...
7 marbles are in a bag 2 marbles are red and the rest are black how many marbles in bag are black
Answers
Answer:
5 marbles are black.
Step-by-step explanation:
7-2=5
PLS HELP ILL MARK AS BRAINLIST AND FOLLOW U
Answers
Answer:
No
Step-by-step explanation:
For the calculation for triangle area is wrong
find the area of the shaded region
Answers
Answer:
9.82 inches²
Step-by-step explanation:
both areas are equally sized, so they are both half of the whole circle.
circle area : pi × r²
half of the circle area is therefore pi × r² / 2
the picture gives us the diameter of the circle, the radius is half of the diameter.
=> r = 5/2 = 2.5
=> shaded area = pi × r² / 2 = pi × (2.5)² / 2 = 9.82 inches²
Tape diagram
7 a =35
Answers
Step-by-step explanation:
7a = 35
a = 35/7 = 5
do you wants to earn money on pàypal???
How do you tell if a table is linear
Answers
Answer:
If x, y increase at a constant rate, it is linear.
Step-by-step explanation:
[42
2
X Х
3
5 1 3 6
+1916 51
2,3
6
Answers
jxjxjxnxnxnnxnnxncncncxxnx
Skzkkxkxkfnzxnxnncnvnvnnv XMMMXMidjjcnfnndnmcmcmcmcmcmxmdnndjd
need this for final
Write the following statement as an algebraic expression: Five less than the product of 4 and a number.
Group of answer choices
5(4 - x)
5(x - 4)
4x - 5
5 - 4x
Answers
Answer:
D
Step-by-step explanation:
it means 5 minus 4x where x is the coefficient of x. Good luck.
please answer thissssssssssssssssssss
Answers
Answer:
B.) The interquartile range of the data is 2
Step-by-step explanation:
if the family chooses to give you a 20% tip and the tax rate is 8.5% how much will they pay in total??
Answers
Enter cost and tip percent to get a tip amount and total dinner amount. ... how many people? ... Calculate a tip or gratuity and get the total amount to pay. ... If you are splitting the cost at a restaurant among several people you can divide by the ... To calculate a gratuity or tip on any calculator it is a simple multiplication.
Answer:
Step-by-step explanation: