Describe the steps you would take to sketch the graph p(x)=2x^(3)+7x^(2)-3x-18
Answers
Answer:
When we have a given function, y = f(x), the general way of graphing the function is finding a lot of coordinate pairs (x, f(x)) and graphing them in a coordinate axis, and then connect them.
So here we have:
p(x) = 2x^(3)+7x^(2)-3x-18
Just let's find the value of p(x) for different values of x, and let's do it.
p(0) = 2*0^(3)+7*0^(2)-3*0-18 = -18
Then the point (0, -18) belongs to the graph
p(1) = 2*1^(3)+7*1^(2)-3*1-18 = 2 + 7 - 3 - 18 = -12
then the point (1, - 12) belongs to the graph.
p(-1) = 2*(-1)^(3)+7*(-1)^(2)-3*(-1)-18 = -2 + 7 + 3 - 18 = -10
then the point (-1, -10) belongs to the graph:
p(2) = 2*2^(3)+7*2^(2)-3*2-18 = 16 + 28 - 6 - 18 = 20
Then the point (2, 20) belongs to the graph
p(-2) = 2*(-2)^(3)+7*(-2)^(2)-3*(-2)-18 = -16 + 28 + 6 - 18 = 0
Then the point (-2, 0) belongs to the graph.
p(-3) = 2*(-3)^(3)+7*(-3)^(2)-3*(-3)-18 = -54 + 63 + 9 - 18 = 0
Then the point (-3, 0) belongs to the graph.
Now that we have 6 points we can graph them and try to connect them.
We also know that this is a cubic polynomial, so we can expect that it changes its direction two times (no more than that) then knowing that we can estimate a shape for the graph, and you will obtain something like the graph of the image below, where I just connected the known points.
Related Questions
What is the k’s meaning in k over 5 = 5
Answers
Answer:
25
Step-by-step explanation
5 times 5 is 25
(To make problems like this easier just multiply the denominator by the result, take this problem for example, the denominator is 5 and the result is 5 so just multiply those and you get 25)
Distributiv property of 4x(5+5)
Answers
Answer:
40
Step-by-step explanation:
first you would solve this in the order of operations
parenthesis first so, (5 + 5) is equal to ten
after the parenthesis you multiply so, 4 × 10 = 40
40 is your answer
Answer:
Expanding the bracket using the distributive Property
We have
4(5) + 4(5)
=20 + 20
=40
What is the perimeter?
Answers
A company determined it could use equation y = -25/3x + 250,000 to predict its total number of customers, y, based on the number of days x. What is the meaning of the slop of this function
Answers
Answer:
The slope is meant to show the relationship between the x(number of days) variable and the y (total number of customers) variable.
When the number is positive, it means that both x and y move in the same direction which means that as x increases, so does y.
When this number is negative, it means that hen x increases, y decreases.
In this scenario therefore, as the number of days increases, the total number of customers decreases.
A number is chosen at random from 6 to 25. Find the probability of selecting an even number or multiple of 3.
Answers
Answer:
17/25
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
even numbers between 6 and 25 = 6 8 10 12 14 16 18 20 22 24
multiples of 3 = 6 9 12 15 18 21 24
The marked price of an article is Rs 400. If 5% discount is allowed, how much should
be paid for it?
Answers
Answer:
Rs.380
Step-by-step explanation:
Given data
Price= Rs 400.
Discount= 5%
Let us find the amount of the discount
=5/100*400
=0.05*400
=Rs. 20
Hence the amount that should be paid for it is
=400-20
=Rs.380
Solve for x solve for x please !!!
Answers
Answer:
cos(16°)•10=x
option one: 9.613
look at the photo and solve what goes in the boxes that say choose.
Answers
Answer:
120
Step-by-step explanation:
Split up the boxes to help you achieve the answer.
A 170 ft string attached to a kite makes a 40⁰ angle with the ground. What is the height of the kite to the nearest tenth? 130.2 ft 33 ft 142.6 ft 109.3 ft
Answers
Answer:
109.3 ft
Step-by-step explanation:
Remembering SOHCAHTOA
We would be using sin
sin = opposite / hypotenuse
sin 40 = x / 170
0.6428 = x/170
x = 0.6428 x 170 = 109.3 ft
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
What is the slope of (5,10)and (7,18)
Answers
Step-by-step explanation:
slope = 4
[tex] \frac{18 - 10}{7 - 5} [/tex]
which is
[tex] \frac{8}{2} [/tex]
which is 4
PLEASE HELPP !!
Mona can walk from home to school following the roads, or she can cut across a
footpath as shown in the diagram below. Along the roads she walks 600 meters
east and 800 meters south.
how many meters less does she walk by cutting across the foot path?
Answers
Answer:
Step-by-step explanation:
are about 2.5 meters above
Which algebraic expression below represents four multiplied by a number?
A. 4 – x
B. x + 4
C. 4x
D.
Answers
Answer:
Step-by-step explanation:
option c is correct
product of two numbers can be written as 4x
i cant resolve this equation : 2x = -2x + 8, can you help me please
Answers
Answer:
x = 2
Step-by-step explanation:
OK so lets do it together.
2x = -2x + 8
Subtract 8 from both sides
2x - 8 = -2x
Add 2x to both sides
4x - 8 = 0
Add 8 to both sides
4x = 8
Divide each side by 4
x = 2
Check:
4 = -4 + 8
4 = 4
correct
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
How many ways are there to fill the four committee positions?
Answers
Answer:
3 ways
Step-by-step explanation:
since the lowest # of people interested in a position is 3, there can only be 3 different ways to fill an entire 4-person committee
pls help asappp ill put u as brainlist! TYTY
Answers
= 24cm2
I’ll give brainly
Is the following statement
possible or impossible?
A triangle has side lengths of
3, 7, and 10
Answers
Answer:
Possible
Step-by-step explanation:
The rule for triangle side lengths is that the two shortest sides must add up to the longest side so it is possible because
3+7 = 10
Two short sides = The longest side
Answer:
possible
Step-by-step explanation:
3+7= 10
find the value of x HELP PLS
Answers
Answer:
x= 36
Step-by-step explanation:
both angles together are supplementary and will form 180
Therefore, you know the missing angle can be found by substracting 108 from 180
180 - 108 = 72
72 = 2x
Answer:
36°
Step-by-step explanation:
2x+108°=180°
2x=72°
x=36°
SOMEONE PLEASE HELP ME ASAP WITH THIS AND SHOW WORK
Answers
help me with C please
Answers
Answer:
your answer is going to be b Find the product of A and B
Step-by-step explanation:
The vertices of rectangle ‘ABCD’ are A(3, 1), B(-5, 1),
C(-5, -3), and D. What are the coordinates of D?
- (3,-3)
-(-3,3)
-(3,3)
-(-3,-3)
Answers
Answer:
C (3;-3)
Step-by-step explanation:
when you put the points on the orthonormal, try to write the parallel of BD, passing through A. then the parallel of AB passing through D. you will detect that it's a rectangle that have 4 angles. which is correct
I hope you would try it on your paper and am glad I helped
The graph shows the proportional relationship between the side lengths of a square and its perimeter. Which equation shows the same relationship between the side length and the perimeter of a square? Perimeter of Square P. 32 28 24 P 15 Perimeter (inches) 20 16 12 P1 8 0 2 4 6 8 Side Length (inches) P 418
Answers
Answer:
y=4x
Step-by-step explanation:
Write the equation of linear function
Substitute:
Multiply the monomials:
Rearrange unknown terms to the left side of the equation:
Reduce the greatest common factor on both sides of the equation:
Rearrange unknown terms to the left side of the equation:
Divide both sides of the equation by the coefficient of variable:
Substitute one unknown quantity into the elimination:
Solve the equation: m=4
Write the solution set of the equations:
Substitute: y=4x
Answer: y=4x
Un cuerpo de 180 kg se debe lanzar hacia una distancia de 25 m. ¿Qué valor tiene el trabajo que se realiza al lanzarlo?
Answers
Answer:
45, 000 J o 45 KJ
Step-by-step explanation:
Recordemos que trabajo realizado = fuerza * distancia
En este caso, fuerza = peso del objeto
Por lo tanto, peso del objeto = 180 Kg * 10ms ^ 2 = 1800 N
Por eso;
Trabajo realizado = 1800 N * 25 m = 45, 000 J o 45 KJ
The bottom part I need help on
Answers
Answer:
the y is 4
and the x is -8
(x,y)
(8,4-)
please. i am hanging on by a thread.
Answers
Answer:
x=6
Step-by-step explanation:
9(10)=15(×)
90=15×
90÷15=6
Which of these numbers is composite? Choose 1 answer: Choose 1 answer: (Choice A) A 3 (Choice B) B 23 (Choice C) C 29 (Choice D) D 41 (Choice E) E 87
Answers
Answer:
e) 87
Step-by-step explanation:
Required
Select the composite number
A composite number is such that: they have more than 2 factors
Factorizing each of the given numbers, we have:
[tex](a)\ 3 = 1 * 3[/tex]
[tex](b)\ 23 = 1 * 23[/tex]
[tex](c)\ 29 = 1 * 29[/tex]
[tex](d)\ 41 = 1 * 41\\[/tex]
[tex](e)\ 87 = 1 * 3 * 29[/tex]
Only (e) has more than 2 factors. Hence (e) is composite
Jorge's friend Kylie has a garden with 100 flowers in it. Kylie's garden contains tulips and daisies. Is it possible for Kylie's garden to have the same ratio of tulips to daisies as Jorge's garden? Explain why or why not.
Answers
Answer:
Yes, Kylie's can have the same ratio of tulips to daisies as that of Jorge
Step-by-step explanation:
Complete question
Jorge planted flowers in his garden. He planted one row of 12 tulips
and one row of 36 daisies. Jorge's friend Kylie has a garden with 100 flowers in it. Kylie's garden contains tulips and daisies. Is it possible for Kylie's garden to have the same ratio of tulips to daisies as Jorge's garden? Explain why or why not
Solution
Ratio of Tulip to daises in Jorge garden is 12:36 = 1:3
Here the common factor is 12 for numerator and denominator i.e 4 * 3 or 2, 2, 3
Given, Jorge's friend Kylie has a garden with 100 flowers, 100 is divisible by 4 but not 3.
Hence, if we take Ratio of Tulip to daises in Jorge garden as 3:9 (by only removing common factor 4), then the Ratio of Tulip to daises in Kylie garden will have the same ratio is that of Jorge'sgarden
What is the sum of the interior
angles of the polygon shown below?
Answers
Christopher rides his bike to and from school every day. The total distance he
rides each day is I mile.
What is the total number of miles that Christopher rides his bike over the 5-day
school week?
PLEASE HELP ME RNNN
Answers
Answer
5 miles
Step-by-step explanation:
If he rides his bike one mile each day school to home each day its going to be 1 mile per day so if its 5 days it is 5 miles
A swimming pool has a gradual slope to the deep end. It forms a triangular prism. If the pool is filled to the very edge, then how many cubic feet of water does the pool hold?
Answers
explanation:
i
HELPP!! PLS PLS
can someone show me a graph of a line going through (-1,2) with a slope of -3/4
Answers
Answer:
We can start at the given point (-1, 2) and move down 3 units and right 4 units to plot the next point. Repeat this for however long you want the line to be.
Hope this helps!
Here is the diagram: