What is the behavior of the graph y=2x3+x2−7x−6 at each of its zeros
Answers
At the given zeros of the function (-1.5, -1, and 2), the graph will behave like a sine curve, cutting the x-axis at three points.
The given polynomial expression:
y = 2x³ + x² - 7x - 6
The zeros of a polynomial equation are the values of x at which the given function equals zero.
The first zero of the given function is at x = 2;
f(2) = 2(2)³ + (2)² - 7(2) - 6
= 16 + 4 - 14 - 6
= 20 - 20 = 0
The second zero of the given function is at x = -1;
f(-1) = 2(-1)³ + (-1)² - 7(-1) - 6
= -2 + 1 + 7 - 6
= - 8 + 8 = 0
The third zero of the given function is at x = -1.5;
f(-1.5) = 2(-1.5)³ + (-1.5)² - 7(-1.5) - 6
= - 6.75 + 2.25 + 10.5 - 6
= - 12.75 + 12.75 = 0
The zeros of the given function include;
----(-1.5)-------(-1)------------------------------(2)--------
Therefore, at the given zeros of the function (-1.5, -1, and 2), the graph will behave like a sine curve, cutting the x-axis at three points.
To learn more about zeros of a function, please visit: https://brainly.com/question/12316127
Related Questions
Line AB is perpendicular to line BC. What is the justification for the following statement?
m ABC = 90°
Definition of angle bisector
Definition of complementary angles
Definition of perpendicular lines
Definition of supplementary angles
Answers
Answer:
definition of perpendicular lines
who can help me out with this one?
Answers
Answer:
(x + 1)² + (y - 2)² = 9
Step-by-step explanation:
Equation of the circle with center (h, k):
(x - h)² + (y -k)² = r² where r is radius
Center(-1 , 2) ; r =3
(x - [-1])² + (y - 2)² = 3²
(x + 1)² + (y - 2)² = 9
What is the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33?
$276.61
$326.25
$358.00
$368.91
Answers
Answer:
A
Step-by-step explanation:
Total money earned=40*8.95=358
Total money earned after deductions=358-(35.24+24.82+21.33)=276.61
A kindergarten class had a total of 15 boys 9 girls , what is the ratio of girls to boys in that class ?
Answers
Answer:
9:15
girls : boys
Step-by-step explanation:
Answer:
9:15
Or 3:5 when reduced
Step-by-step explanation:
There are 1125 students in a school. If a student pays Rs. 300 as fees and
Rs. 100 as bus charge per month, how much money is collected in a month?
Answers
Can you help me calculate the angles from this kite in the attachment?
AY =, XZ =,
Answers
Answer:
AY=8, XZ=20
Step-by-step explanation:
WY=WA+AY, plug in values: 14=6+AY, subtract 6 from both sides: 8=AY, AY=8cm
ZA=10cm and WY bisects XZ at A, so XA=ZA and XZ = XA+ZA = 2ZA =2*10 = 20 cm
Caleb learned 9 appetizer recipes in 3 weeks of culinary school. How many weeks of culinary school will Caleb have to attend in all before he has learned a total of 78 appetizer recipes? Solve using unit rates.
Answers
Answer:
Caleb would have to do 26 weeks of culinary school.
Step-by-step explanation:
Hope this helps!
Wrapping a Package It takes 70 inches of ribbon to make a bow and wrap the ribbon
round a box. The bow takes 32 inches of ribbon. The width of the box is 14 inches. What
the height of the box?
-14 in. -
Answers
First subtract the amount the bow takes from the total:
70 - 32 = 38 inches
The width is 14 on top and bottom so subtract 14 x 2 = 28 from 38:
38-28 = 10
Divide 10 by the 2 sides:
10/2 = 5
The height is 5 inches.
Brad runs 4 miles in 18 minutes. at the same rate how long will it take him to run 24 miles
Answers
Answer:
108 minutes
Step-by-step explanation:
Take 24 and divide by 4; you get 6;
Multiply 18 by 6; you get 108;
It will take Brade 108 minutes to run 18 miles
[tex]\frac{1}{3} d +4=28[/tex]
Answers
Answer:
d = 72
Step-by-step explanation:
1/3 d + 4 = 28
Subtract 4 from each side
1/3d +4-4 = 28-4
1/3d = 24
Multiply each side by 3
3 * 1/3d = 3 * 24
d = 72
Determine the factors of x^2 - 7x - 10.
O (x + 2)(x - 5)
O Prime
O (x-2)(x + 5)
O (x + 10)(x - 1)
Answers
Answer:
O Prime
Step-by-step explanation:
x^2 - 7x - 10
What two numbers multiply to -10 and add to -7
There are no two number that multiply to -10 and add to -7
Answer:
x^2 - 7x - 10
Think about it like this: What two numbers multiply to get -10 and add to get -7?
But no matter what we try, this doesn't work. And that's because x^2 - 7x - 10 is actually prime.
So "Prime" is the correct answer.
Let me know if this helps.
Which number line shows the solution to-3-(-1)
Answers
Of the 37 teachers at Francesca's high school, 9 are female. What is the ratio of the number of male teachers to the total number of teachers?
Answers
Answer:
28 : 37
Step-by-step explanation:
Find how many male teachers there are by subtracting 9 from 37:
37 - 9
= 28
Create a ratio with this to the total number of teachers:
28 : 37
So, the ratio of the number of male teachers to the total number of teachers is 28 : 37.
If f(x) = 2x ^ 2 + 3 and g(x) = x ^ 2 - 7 , find (f - g)(x) .
Answers
Answer:
x^2 + 10
Step-by-step explanation:
f(x) = 2x ^ 2 + 3
g(x) = x ^ 2 - 7
(f - g)(x) =2x ^ 2 + 3 - (x ^ 2 - 7 )
Distribute the minus sign
=2x ^ 2 + 3 - x ^ 2 + 7
Combine like terms
= x^2 + 10
Solve x2 − 20 = 0. If necessary, round to the nearest hundredth.
Answers
Answer:
x is 4.47
Step-by-step explanation:
[tex]{ \sf{ {x}^{2} - 20 = 0 }} \\ { \sf{ {x}^{2} = 20}} \\ { \sf{x = \sqrt{20} }} \\ { \sf{x = 4.47}}[/tex]
help solve for x pt2.
Answers
Answer:
x p t^2
p = 0
t = 0
x = 0
Δ = 0
Paridad
extraño
d/dx(x p t^2) = p t^2
Step-by-step explanation:
In an atom, electrons have a negative charge and protons have a positive charge. One negative and
one positive cancel each other, just like zero pairs. An atom has 354 electrons and 139 protons.
What is the amount and type of charge?
Answers
Answer:
The charge is negative and the amount is 215
Step-by-step explanation:
Electrons are negative
-354
Protons are positive
+139
-354+139
-215
So
Electrons=-354Protons=+139Net charge
354-139-215Negative charge and the amount is 215
3. What is the volume of the regular pyramid?
Answers
Answer: 80 cubic meters (choice B)
==============================================================
Explanation:
The floor of the pyramid is a pentagon made of five congruent isosceles triangles as shown in the diagram below. Each triangle has a base of 6 meters and height 2 meters. The base and height are always perpendicular.
Each triangle mentioned therefore has area base*height/2 = 6*2/2 = 12/2 = 6 square meters. Five such triangles results in a total area of 6*5 = 30 square meters. This is the area of the pentagonal floor.
We'll multiply this area by the height of the pyramid (8 meters) and then take 1/3 of this to get the pyramid's volume
volume = (1/3)*(area of floor)*(height of pyramid)
volume = (1/3)*(30)*(8)
volume = 10*8
volume = 80 cubic meters
Hunter assumed he would only get 64
problems correct on his test, but he
actually got 78 correct. What was his
percent error
Round to the nearest percent.
Answers
Answer:
22%
Brainliest, please!
Step-by-step explanation:
78 - 64 = 14
14 / 64 = 0.21875
= 22% (when rounded)
Let f (x) = 3x + 1 and let g(x) = x - 1. Find (fog) (5)
0 0
O 15
O 4
O 7
Answers
Answer:
13
Step-by-step explanation:
(fog)=3(x-1)+1
ie puting the function of g in f
so (fog)= 3x-3 + 1= 3x-2
finding fog
(fog)(5)= 3(5)-2
ie sub stitute 5 in x
(fog)(5)=15-2=13
How many times more ?
Answers
Answer:
1.3
Step-by-step explanation:
bc for each time x increases by 1, it multiplies by 1.3
i cant think of any other way to explain it
but i hope this helped :D
Answer:
1.3 times
Step-by-step explanation:
f(x)= 68 (1.3) ^x
it, means each year, the expected number of squirrels is 1.3 times, the number the year before.
x=0 so, f(0)=68
New x=1, so f(1)= 68(1.3)¹
= 68 × 1.3
f (1)= f(0) × 1.3
So, 1.3 times
OAmalOHopeO
One of the legs of a right triangle measures 16 cm and its hypotenuse measures 20
cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
Answer:
12.
Step-by-step explanation:
Use the Pythagorean theorem. 16^2+b^2=20^2. Multiply the exponents: 256+b^2=400. subtract 256 from 400=144. Therefore 144=b^2. the square root of 144 is 12.
Given that cos 75 = X, show that cos 105 = −X
Answers
Step-by-step explanation:
cos(90) = 0
around this point the cos function "mirrors" with opposite signs. cos(<90) is positive and cos(>90) is negative.
but |cos(90-a)| = |cos(90+a)| for 0 <= a <= 90
75 = 90 - 15
105 = 90 + 15
so, a = 15
and because of
|cos(90-a)| = |cos(90+a)| for 0 <= a <= 90
cos (90-15) = cos(75) = -cos(90+15) = -cos(105)
PLZ HELP I KINDA NEED THIS PLZ
Select the correct answer. The function f(x) = x2 is graphed above. Which of the graphs below represents the function g(x) = (x + 1)2?
A. W
B. X
C. Y
D. Z
Answers
Answer:
It's is C. Y
Step-by-step explanation:
There is the graph and you can see it by yourself :)
Express an angle of square into grade.
Answers
Answer:
please solve my questiob check my profile
10. A recipe for punch calls for 2 2/3 cups of fruit concentrate
and 6 3/4 cups of water.
How many cups of punch will the recipe make?
Answers
Step-by-step explanation:
Let's change 2 2/3 cups to 4/3 cups and change 6 3/4 cups to 18/4 cups. Okay now we need to find a number 4 and 3 both go into bucause they're the numbers on the bottom or the denominator 4 and 3 both go into 12 so now we put our numerator (the numbers on top) over 12.
The sum is now: 54/12 + 16/12 let's change that to 4 and 4/12 + 1 and 4/12= 5 and 8/12 simplify that to 5 and 2/3
how many tens are in the number 15?
Answers
Answer:
1 tens and 5 ones
if 2 and 4 are the factors of a number than is 8 always a factor? true or false
Answers
Answer:
hmmm I think it's true, if it's not my bad.
Malachy and Paul win some money and share it in the ratio 2:1. Malachy gets £24
more than Paul. How much did they get altogether?
Answers
Step-by-step explanation:
Malachy's money = 2x
Paul's money = x
=> 2x - x = 24 => x= 24
Total money = 3x = 72
Will Mark Brainlest Help Please ,,,,
find the value of x and y
Answers
[tex]\\ \sf\longmapsto 2x+y=2[/tex]
[tex]\\ \sf\longmapsto 2x=2-y[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}\dots(1)[/tex]
And
[tex]\\ \sf\longmapsto x+1=y+2[/tex]
[tex]\\ \sf\longmapsto x=y+2-1[/tex]
[tex]\\ \sf\longmapsto x=y+1[/tex]
Put the value
[tex]\\ \sf\longmapsto \dfrac{2-y}{2}=y+1[/tex]
[tex]\\ \sf\longmapsto 2-y=2(y+1)[/tex]
[tex]\\ \sf\longmapsto 2-y=2y+2[/tex]
[tex]\\ \sf\longmapsto 2-2=2y+y[/tex]
[tex]\\ \sf\longmapsto 3y=0[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{0}{3}[/tex]
[tex]\\ \sf\longmapsto y=\infty[/tex]
Put in eq(1)
[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2-\infty}{2}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2}{2}[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
