Part A
Based on the graph, how many zeros does the polynomial function, f(x) = -x^4 - 3x^3 + 6x^2 + 8x have?
Part B
What are the zeroes of the above polynomial function?
A. -4,0,2,3
B. 0, 2 only
C. -4,-1, 0, 2
D. -4, 2 only
Answers
Answer:
Part A: There are 4 zeros of the polynomial function f(x)
Part B: The zeroes of the polynomial function f(x) are -4, -1, 0, 2 ⇒ C
Step-by-step explanation:
The zeroes of a function are the x-coordinates of the point of intersection between the graph of the function and the x-axis (x-intercepts) which means values of x at y = 0
Part A:
In the given graph
∵ The graph of the function f(x) = -[tex]x^{4}[/tex] - 3x³ + 6x² + 8x intersects the x-axis
at 4 points
→ That means there are 4 values of x have y = 0
∴ The number of zeroes of the function is 4
∴ There are 4 zeros of the polynomial function f(x)
Part B:
∵ The graph intersects the x-axis at points (-4, 0), (-1, 0), (0, 0), (2, 0)
→ That means the values of x at y = 0 are -4, -1, 0, 2
∴ f(x) = 0 at x = -4, -1, 0, 2
∴ The zeroes of the polynomial function f(x) are -4, -1, 0, 2
Related Questions
Scientists find a wooden spoon and they want to use Carbon dating to out how old it is. If the amount of carbon left is 85% of its original amount, how old this artifact? (Note here that we are actually finding the age of the wood from which the spoon was made
Answers
Answer:
1,336 year (Approx)
Step-by-step explanation:
Half life of carbon 14 = 5,700 year
Equation used for carbon dating:
t = [5,700/In2]ln[N]
t = [5,700/In2]ln[85%]
t = [5,700/In2]ln[0.85]
t = 1,336 year (Approx)
This is my question yall
Answers
Answer:
4
Step-by-step explanation:
12/6=2 2+2=4
i need help with the picture down below. asap if you could.
Answers
Answer:
3x - 5y = -55
Step-by-step explanation:
5th grade math. Correct answer will be marked brainliest.
Answers
Answer:
Leslie's answer shows 10 hundredths, which is the same as the 1 tenths in Paul's answer. So both answers are correct.
Step-by-step explanation:
A zero at the end of a decimal number is redundant, it makes no different to the value. It's kind of like how 010 is equal to 10. There is no point in the extra zero at the front. I hope this helps!
Please help!! answer choices and question below
Answers
Answer:
3 because 3 times 4 is 12 and 18 divided by 6 is 3
Step-by-step explanation:
Factor this -5x2 + 15x + 140
Answers
Answer: -5( x - 7) (x + 4)
Step-by-step explanation:
Factor the polynomial.
Answer: 5(3X+26)
Explanation: M a t h w a y
what would you do if u got hurt really bad and how would u deal with it???? 5 sentences
Answers
Answer:
I would call for help, calm myself down, and try not to cause a scene. once I get help I won't panic or the situation will get worse. I'll stay positive and let my self heal for however long I need to rest for. Then when i'm better i'll make sure not to make the same mistake again and be more careful.
Step-by-step explanation:
Carl Cornfield has been wondering whether he should plant white corn this year. He decides to sample 100 customers. 38% say they would purchase white corn. Carl wants to have a 95% confidence interval for this proportion.
The confidence interval is from 33% to 43% (to the nearest percent).
True
False
Answers
Answer:
true
Step-by-step explanation:
2 - x = 13 what is the value x
Answers
Answer:
-11 because if you take a positive number and subtract a negative number you get a positive number and the two subtraction simboles (2- - 11 = 13) cancel eachother out and make the equation and addition instead of subtraction
(Does that help?)
Step-by-step explanation:
Complete the steps to solve for x.
-0.51x + 0.21x = 6.3
-0.51x + 0.21x = 6.3
x= 6.3
Answers
What is the circumference?
7 ft
Answers
Answer:
C = 7π
Step-by-step explanation:
Diameter: 7 feet
Formula: C = πd (Circumstance = π × Diameter)
C = 7π
Which is the equation of a line that has a slope of -5 and passes through point (-3,-1)? O y=-3x+1 O y=-3x+3 O y=-x-1 O y=-x-3 3
Answers
Note: Your answer choices are not clear, thus I have solved the complete question which anyways should be able to clear your concept.
Answer:
The equation of a line that has a slope of -5 and passes through the point (-3,-1) will be:
y = -5x - 16Step-by-step explanation:
Given
slope = m = -5point = (-3, -1)We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
Here:
m is the slopeb is the y-interceptNow, substituting m = -5 and (-3, -1) in the slope-intercept form of the line equation to determine the y-intercept 'b'
[tex]y=mx+b[/tex]
-1 = -5(-3) + b
switch sides
-5(-3) + b = -1
15 + b = -1
b = -1 - 15
b = -16
Now, substituting m = -5 and b = -16 in the slope-intercept form of the line equation to determine the equation of a line
[tex]y=mx+b[/tex]
y = -5x + (-16)
y = -5x - 16
Therefore, the equation of a line that has a slope of -5 and passes through the point (-3,-1) will be:
y = -5x - 16Note: Your answer choices are not clear, thus I have solved the complete question which anyways should be able to clear your concept.
Which polynomial function could be represented by the graph below?
On a coordinate plane, a parabola opens up. It goes through (negative 2, 0), has a vertex at (negative 0.5, negative 4.5), and goes through (1, 0).
f(x) = x2 + x – 2
f(x) = 2x2 + 2x – 4
f(x) = x2 – x – 2
f(x) = 2x2 –2x – 4
Answers
Answer:
B! just took it!
Step-by-step explanation:
Answer:
B. f(x) = 2x2 + 2x – 4
Step-by-step explanation:
it's lit!!!
is 9.22222 a irrational number
Answers
Answer:
No
Step-by-step explanation:
9.222222 is not a irrational number.
Hope this helps plz hit the crown :D
Answer:
yes it is
Step-by-step explanation:
− ∣2x + 4∣ + 3 = -4
Confusion has entered my brain.
Answers
Answer:
[tex]x=\frac{3}{2}[/tex] or [tex]x=-\frac{11}{2}[/tex]
Step-by-step explanation:
Step-by-step on how to solve it is in the image below.
Hope this helps! :)
You and a friend decide to sell cookies to raise
money for a local fundraiser. After d days, you
have raised (5d + 6) dollars and your friend has
raised (6d + 2) dollars. Write an expression that
represents the total amount of money that you
raised together
Answers
A circle passes through the point (2, 2) and has its center at (1, -3). The radius of the circle is how many units.
Answers
Step-by-step explanation:
radius
(2,2)-(1,-3)=(1,5)
radius= 5.09 units
what is 28r-9(2r+6) simplied?
Answers
Answer:
10r-54
Step-by-step explanation:
Answer:10r-54
28r-9(2r+6) bring -9(2r+6) that gives us -18r-54 then we bring back the 28r translating to 28r-18r-54 simply 28-18=10 so 10r-54.
Please help i need this ASAP! C(x)=0.7x^2-210x+27,738
Do not round your answer
Answers
Answer:
27/x
Step-by-step explanation:
A cookie contains 150 calories. If you eat no fewer than 2 cookies and no more than 8 cookies, how many calories will you consume?
What would the inequality look like
Answers
Answer: 300cal ≤ y ≤ 1200 cal
Step-by-step explanation:
Let's define x as the number of cookies that you eat, and y as the number of calories you consume in those cookies.
"if you eat no fewer than 2 cookies..."
This is written as:
2 ≤ x
This means that x can be equal to 2, or larger than 2.
"...and no more than 8 cookies"
This is written as:
x ≤ 8
This means that x can be smaller than 8 or equal to 8.
If we combine those two, we have:
2 ≤ x ≤ 8
And we know that each cookie contains 150 calories, and rememer that these numbers represent number of cookies, then the numbers of calories will be:
2*150 cal ≤ y ≤ 8*150 cal
300cal ≤ y ≤ 1200 cal.
LINEAR EQUATIONS
2(x-1)=3(x+1)
Answers
what is the y-intercept of the graph of the function
Answers
So your answer is.
-5
I hope this helps!!
Answer:
(0,-5)
Step-by-step explanation:
It is where the line meets the y axis
I already named the shape I just need help solving for x
Answers
Answer:
3 =x
Step-by-step explanation:
The sides are all equal length
x+5 = 3x-1
Subtract x from each side
x+5 -x = 3x-1 -x
5 = 2x-1
Add 1 to each side
5+1 = 2x-1+1
6 = 2x
Divide by 2
6/2 = 2x/2
3 =x
Solve this system of equations using elimination.
X-6=-17
-2x+12y=7
Answers
Answer:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Point Form:
(−11,−5/4)
Equation Form:
x=−11,y=−5/4
What is the value of a?
–31
–7
–5
–1
Answers
Answer:
i think its -31
Step-by-step explanation:
if im wrong im sorry
Answer:
D. -1
Step-by-step explanation:
Edge
Evaluate 11 1/2 +(−4 2/3)x for x=6.
A. −17 1/2
B. −16 1/2
C. 36 1/6
D. 39 1/2
Answers
Answer:
C
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Find the slope-intercept equation of the line.
I need the equation not the answer
Help plz
Answers
Answer:
y=4/5x+4
Step-by-step explanation:
A metal manufacturing company reduces the length of a 12.5-inch cylindrical rod, after which the rod measures 7.8 inches. How many inches was the rod shortened by?
Answers
Answer:
4.7 inches
Step-by-step explanation:
The original is 12.5, and it was shortened to 7.8. So take the original, subtract the result, and you will get the answer.
12.5-7.8=4.7
Answer:
4.7 inches hope it helped
Find the 82nd term of the arithmetic sequence -10,6,22
Answers
Answer:
a(82) =1286
Step-by-step explanation:
a(n) = a +(n-1)d
a=-10
d=6+10=22-6=16
°.° a(n) = -10 +(n–1)16
a(82) = -10 +(82–1)16
=-10+(81x16)
=1286
hope this helps
square root of 7-?
.............................
Answers
Answer:
2.64575131106
Step-by-step explanation:
Answer:
Do you mean -7?
If so the answer is 2.64575131i
(The square root of just seven is the same answer but without the i, in other words 2.64575131 )