Answer:
Yes, I agree
Step-by-step explanation:
For the cubic function
A cubic function is represented as:
[tex]f(x)=ax^3+bx^2+cx+d[/tex]
A cubic function may have 1, 2 or 3 x intercepts. This is shown below
For 3 x intercepts
[tex]y = x^3 - x[/tex]
Equate y to 0
[tex]x^3 - x = 0[/tex]
Expand
[tex]x(x^2 - 1) = 0[/tex]
Express [tex]x^2 - 1[/tex] as difference of two squares
[tex]x(x - 1)(x +1 ) = 0[/tex]
x = 0 or 1 or -1
For 2 x intercepts
[tex]y = x^3 - x[/tex]
[tex]y =(x-5)^2)(x+7)[/tex]
Equate y to 0
[tex](x-5)^2(x+7) = 0[/tex]
Expand
[tex](x-5)(x-5)(x+7) = 0[/tex]
x= 5 or x = -7
For 1 x intercept
[tex]y = x^3[/tex]
Equate y to 0
[tex]x^3 = 0[/tex]
Take cube roots of both sides
[tex]x = 0[/tex]
It has been shown above that a cubic function may have 1, 2 or 3.
So, I agree to the statement
For the quadratic function
A quadratic function will not have any x intercept when the function can not be factorized;
E.g.
[tex]y = x^2 + x + 17[/tex]
The above function has no x intercept.
A quadratic function will have at least 1 x intercept when the function can be factorized;
E.g.
[tex]y = x^2- 6x + 9[/tex]
Equate y to 0
[tex]x^2- 6x + 9 = 0[/tex]
Expand
[tex]x^2 - 3x - 3x + 9 = 0[/tex]
[tex](x - 3)(x-3) = 0[/tex]
[tex]x = 3[/tex]
We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)
Hence, I agree to both statement
The auditorium where the spring musical will be performed has 10 seats in the 1st (front) row. Each row behind the Ist row has 4 more seats than does the row in front of it.
how many seats are in the 7th row?
Answer:
38 seats
Step-by-step explanation:
10 + 4x = y
Find the Area of the Figure. Do not type in the units.
Which of these problems could be solved using the equation 16x=80.
Step-by-step explanation:
D) Marisol has 80 baseball cards. that is 16 times more than her brother Ernesto has. how many baseball cards does Ernesto have?
Darnell bought a leaf blower priced at $437. Shipping and handling cost an additional 20%
of the price. What was the total cost of the leaf blower, including shipping and handling?
WILL CROWN BRAINLIEST Find the quotient.
29,424 divided by 15
Answer:
1961.6 as decimal
Step-by-step explanation:
I divided it
How do I solve 5x(3x2 + 2x - 1)
Answer:
10x+25
Step-by-step explanation:
please can someone help me asap i should find the roots (zeros) of this equation:
f(x) = x^4 -6x^3 + 12 x^2 -8 x
please
Answer:
1/2-1/2, 3
Step-by-step explanation:
Notice that the ratio of the first and second terms is the same as that between the third and fourth terms. So this cubic will factor by grouping:
Please check my answer!!!!!
Answer:
I think it should be correct
Good Luck!
1
A horizontal line passes through the
point (0,4). A vertical line passes
through the point (-16,0). What is
the intersection of the two lines?
Given:
A horizontal line passes through the point (0,4).
A vertical line passes through the point (-16,0).
To find:
The intersection point of these two lines.
Solution:
A horizontal line passes through the point (0,4). It means the y-coordinate of each point on the line is 4 and the equation of the line is
[tex]y=4[/tex]
A vertical line passes through the point (-16,0). It means the x-coordinate of each point on the line is -16 and the equation of the line is
[tex]x=-16[/tex]
So, the coordinates of the intersection point of these two lines are (-16,4).
Therefore, the required point is (-16,4).
The point of intersection of the two lines is at point: (-16, 4).
According to the question;
The horizontal line passes through the point (0,4).The vertical line passes through the point (-16,0).If a horizontal line passes through the point (0,4).
In essence, the y-coordinate of each point on the line is 4 and the equation of the line is; y = 4If a vertical line passes through the point (-16,0).
In essence, the x-coordinate of each point on the line is -16 and the equation of the line is; x = -16Ultimately, the intersection point of the two lines as described is (-16,4).
Read more on coordinates;
https://brainly.com/question/17206319
What is the mean of the values in the dot plot?
Enter your answer in the box.
Answer:
The mean is 46.
Step-by-step explanation:
To find the mean of these points add the values together. So that's one 40, two 41's, one 45, two 48's, three 49's and one 50.
40 + (2 * 41) + 45 + (2 * 48) + (3 * 49) + 50
Multiply what's in the parentheses.
40 + 82 + 45 + 96 + 147 + 50
Add, going from left to right
122 + 45 + 96 + 147 + 50
167 + 96 + 147 + 50
263 + 147 + 50
410 + 50
460
Now, divide that by how many dots there were (10).
460/10
The mean of the values in this dot plot is 46.
Please do number 16 for me
my closet guess is 85°
Answer:
75 degrees
Step-by-step explanation:
Since lines A and B are parallel you can assume that angle 1 and angle 5 will be the same measurement. (You can see it better if you remove the other line)
the length=2.3m and breath=90cm find the perimeter and area of rectangle
Answer:
the length=2.3m and breath=90cm find the perimeter and area of rectangle
Step-by-step explanation:
length ( l ) = 2.3m breadth ( b ) = 0.9mperimeter = 2( l + b ) = 2 (2.3 + 0.9) = 2 × 3.2 = 6.4marea = l × b = 2.3 × 0.9 = 2.07m²MARK ME BRAINLIST-8 (6x -2) = -3x -29
Answer: X= 1
1. 16=−3x−29+48x
2. 16=45x−29
3. 16+29=45x
4. 45=45x
5. 1=x
How many units long is CD? How do you know?
Answer:
4
Step-by-step explanation:
because i know
solve the problem for number 13.
Answer:
m ∠Y = 39°
Step-by-step explanation:
The sum of all angles in a triangle is 180°, so you just have to add m∠Z and m∠X, which will be 113 + 28 = 141. 180 - 141 = 39°
Answer:
if the shape is a triangle, just find the 3rd number and they should all add to 180 degrees.
Please help due in 5 minutes !
Answer:
Step-by-step explanation:pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
I’m sorry if this is wrong
CORRECT ANSWERS ONLY PLES ASAP!!!!! It costs $2 to spin the spinner shown below. If you land on an even number, you win $8. If you land on an odd number, you get nothing. What is the expected value of playing this game one time?
$8
$3
$1
$6
Step-by-step explanation:
2 is an even number so if everytime u land on an even number u win $8 so we do this (8-2=6)
Ms. Reiger’s students found a total of 16 bird feathers. The line plot shows the lengths, in inches, of the bird feathers found by the students
Look at the line plot, and then select the two correct statements about the bird feathers.
The difference between the lengths of the shortest feather and the longest feather is 318 inches.
A. The difference between the lengths of the shortest feather and the longest feather is 238 inches.
B. The combined length of the two longest feathers is 828 inches.
C. The combined length of the shortest feather and the longest feather is 738 inches.
D. The combined length of the shortest feather and the longest feather is 618 inches.
Answer:
B
Step-by-step explanation:
What is the slope of the line shown below?
Answer:
D
Step-by-step explanation:
Slope formula: m = (y2 - y1) / (x2 - x1)
First coordinate: (1, 3)
Second coordinate: (3, 9)
m = (9 - 3) / (3 - 1)
m = (6) / (2)
m = 3
9x-27 whats the answer
Answer:
The answer is 9(x-3).
Step-by-step explanation:
Answer:
-243
Step-by-step explanation:
Tessa has $42 to spend at the county fair. Her admission
ticket cost $7.50. How much money could she spend on
games and food? Write an inequality to represent this
situation and solve.
can someone help me?
Answer
g is less than or equal to 34.50
Step-by-step explanation:
$42-$7.50=$34.50
.Mariam went to the store to buy some apples. The price per pound of the apples is $6 per pound and she has a coupon for $2.25 off the final amount. With the coupon, how much would Mariam have to pay to buy 3 pounds of apples? Also, write an expression for the cost to buy p pounds of apples, assuming at least one pound is purchased.
Answer:
$15.75
$6p-$2.25
Mia is working two summer jobs, making $18 per hour lifeguarding and making $10 per hour washing cars. In a given week, she can work at most 13 total hours and must earn a minimum of $180. If xx represents the number of hours lifeguarding and yy represents the number of hours washing cars, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
y ≤ 13 - x
y ≥ 18 - 9/5x
8 hours lifeguarding, 4 hours washing cars
(8,4)
Step-by-step explanation:
Hope this helps!
yo does anyone know how to solve this
(-7, 0)
i promise im right
How do I figure this out?
it is 1 2 twelve I can end without 20 word my friend so deal with it
What is the slope of the line that passes through the points (-5, -7) and (4,−1)? in the simplest form
Answer:
2/3
Step-by-step explanation:
Use rise over run, (y2 - y1) / (x2 - x1)
Plug in the points, then simplify:
(y2 - y1) / (x2 - x1)
(-1 + 7) / (4 + 5)
6/9
= 2/3
So, the slope of the line is 2/3
Please help me please
Answer:
B
Step-by-step explanation:
What are the two square roots for the number 81? *
(1) 27 and 3
(2) 9 and -9
(3) 40.5 and 2
(4) None of these
Answer:2
Step-by-step explanation:9 and -9 squared both are 81 because double negative makes a positive
express 5000 gm as kg using decimals
Answer:
5000gm=5kg
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
divide the mass by 1000
simplify 3(tan^2 theta - sec^2 theta)
a. 1
b. 0
c. -3
d. 3
*ITS NOT D*
Answer:
it's option c. - 3
Hope it will help :)❤
Answer:
c. -3
Step-by-step explanation: