A polynomial function has a root of –6 with multiplicity 1, a root of –2 with multiplicity 3, a root of 0 with multiplicity 2, and a root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about the graph is true?
The graph of the function is positive on (–6, –2).
The graph of the function is negative on (negative infinity, 0).
The graph of the function is positive on (–2, 4).
The graph of the function is negative on (4, infinity).
Answers
Answer:
A. The graph of the function is positive on (–6, –2)Step-by-step explanation:
The given function is an increasing function that intercepts the x- axis at -6, -2 and 4 and touches at 0.
It has minimum at negative infinity, maximum at positive infinity, local minimums between -2 and 0 and between 0 and 4, local maximum between -6 and -2.
Approximate shape is given in the attached.
Correct choice is the first one, the rest choices are all incorrect.
Related Questions
which is greater 3.65x10-8 or 3.65x10-7
Answers
Answer:
the second one is your answer
Step-by-step explanation:
hope this helped mark me brainlest pls and thank you
The recipe calls for 223 cups sugar. If Brody is tripling the recipe, how much sugar will he need?
Answers
Answer:
669 cups of sugar
Step-by-step explanation:
223 x 3 = 669
Let f(x)=2x-1,g(x)=3x and h(x)=x^2+1 evaluate h(-2)-f(-2)
Answers
h (-2) = (-2)^2 + 1 = 5
f (-2) = 2(-2) - 1 = -5
5 - (-5) = 10.
F(x) =2x-1 what is the value of f(x) when x = -1
Answers
Answer:
f(x) = -3 when x = -1
Step-by-step explanation:
Let's go through this!
So our equation is f(x) = 2x - 1
we are asked for the value of f(x) when x = -1
Let's consider this, the f(x) value is the y value
and the x value in f(x) is the x value
So when x = -1
what is the y value?
we can use the equation to subsitute -1 into x and solve for f(x)
f(x) = 2(-1)-1
f(x) = -3
Our answer is -3
what is the ratio of 0.75 decimal
Answers
Solve the system of equations
3x – 2y + 4z = -14
-4x + y + 4z = -16
-3x - y - 4z = 2
Answers
Answer:
x,y,x = 2,4, -3
Step-by-step explanation:
Use the pH standards below to answer the following questions:
pH Water Quality Standards
pH Range
Good-neutral
7-7.5
Fair - neutral zone
6.5-6.9 or 7.5-8.5
5.5-6.4 or 8.6-9
Marginal - too acidic or basic
Less than 5.5 or more than 9
Poor -- too acidic or basic
a. What is the water quality of water with a pH of 4.4?
b. What is the water quality of water with a pH of 7.2?
c. What is the water quality of water with a pH of 6.3?
Answers
B is good
C is marginal
I need help plz I would appreciate it
Answers
carley beat the school record for the 400 meter by 1.3 seconds. if she ran the race in 55.7 seconds what was the record?
Answers
explanation: 55.7-1.3=54.4
Anastasia is grocery shopping with her father and wonders how much shopping is left to do. "We already have 60%, percent of the items on our list," her father says. Anastasia sees 12 items in the cart.
How many grocery items are on the list?
Answers
(could be wrong)
What is the slope of the line that passes through the points (-10, -4)(−10,−4) and (10, -29) ?(10,−29)? Write your answer in simplest form.
Answers
Answer:
hope you like my answer its -42.7
find the sum of all possible four digit numbers that can be formed using the digits 2,4,5,6,7 and 8 with no repeated digits
Answers
2+2
5+0
3+3
6+2-1
4+4
Answer:
2133120
Step-by-step explanation:
using 6 given digits, lets create a 4 digit number:
to choose the first number, you have 6 options. to choose the second number we have 5 options left. for the third number we have 4 options left. and for the fourth number, we have 3 options left.
6*5*4*3 = 360
with no repeats, 360 numbers can be formed.
this means that each number will occur 60 times each (360/6 digits)
so to find the sum:
60*(2+4+5+6+7+8) = 1920
but, we have one more thing:
In the thousands place, our sum of digits is multiplied by 1000; in the 100’s place, by 100; in the ten’s place, by 10; and in the one’s place, by 1. so:
1920(1000+100+10+1) = 1920*1111 = 2133120
An arts academy requires there to be 5 teachers for every 115 students and 3 tutors for every . How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 77 students ?
Answers
Answer:
1.23
2. Question incomplete
3. Needs Question 2 to Answer
Step-by-step explanation:
1. 115÷5=23
I need help this is due tomorrow !
Answers
Answer:
b i think
Step-by-step explanation:
B
C
D
E
All the angles are congruent since they're all 90°, since p and q are parallel and there's a straight line going through the middle.
Show all work and express your answers in scientific notation.
Change 56000 grams to Megagrams.
Answers
Answer: 0.056
What I did: divide the mass value by 1e+6
what is the behavior?
Answers
Answer:
as x -> -∞, y-> ∞ and as x-> ∞, y -> -∞ - Second option
Step-by-step explanation:
If you look carefully to the left, when x becomes negative the y value becomes positive. On the right, x becomes positive and y becomes negative.
Evaluate the expression: +22 - (8 - 6) = 3
5
3
5
4.
1
3
5
Answers
Answer:
I was able to get 20 = 3 as my answer. Hope this helps.
Answer:
[tex]4\frac{1}{3}[/tex]
Step-by-step explanation:
Apply PEMDAS order of operations:
→ Parentheses
→ Exponents
→ Multiplication
→ Division
→ Addition
→ Subtraction
________________
[tex]\frac{3}{5}+2^2-\frac{2}{5}\left(8-6\right)\div \:3=4\frac{1}{3}[/tex]
1) Parentheses:
[tex]\left(8-6\right)[/tex]
[tex]8-6[/tex]
[tex]=2[/tex]
[tex]\frac{3}{5}+2^2-\frac{2}{5}\times \:2\div \:3[/tex]
2) Exponents:
[tex]2^2[/tex]
[tex]=4[/tex]
[tex]\frac{3}{5}+4-\frac{2}{5}\cdot \:2\div \:3[/tex]
3) Multiplication/Division:
[tex]\frac{2}{5}\times \:2\div \:3[/tex]
[tex]\frac{2}{5}\times \:2[/tex]
Convert to fraction:
[tex]2=\frac{2}{1}[/tex]
[tex]\frac{2}{5}\times \frac{2}{1}[/tex]
Multiply 2 × 2, and 5 × 1:
[tex]=\frac{4}{5}[/tex]
[tex]\frac{4}{5}\div \:3[/tex]
Convert to fraction:
[tex]3=\frac{3}{1}[/tex]
[tex]\frac{4}{5}\div \frac{3}{1}[/tex]
Apply fraction rule: [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]\frac{4}{5}\times \frac{1}{3}[/tex]
Multiply 4 × 1 and 5 × 3:
[tex]\frac{4}{15}[/tex]
[tex]\frac{3}{5}+4-\frac{4}{15}[/tex]
4) Addition/ Subtraction:
[tex]\frac{3}{5}+4[/tex]
[tex]=\frac{23}{5}[/tex]
[tex]\frac{23}{5}-\frac{4}{15}[/tex]
[tex]=\frac{13}{3}[/tex]
Finally, Convert fraction to mixed number:
[tex]\frac{13}{3}=4\frac{1}{3}[/tex]
___________________________
In may, Ana made one deposit of $200 to her savings account and made 3 withdrawals of $50 each. How much money did she have in her account at the end of may?
Make an equation with integer and than answer:
Answers
Answer:
the answer would be 50 left in her bank account
f(x) = 3(2)x What is f(4)?
A. 24
B. 12
C. 4
D. 48
Answers
Answer:
a.
Step-by-step explanation:
x=4
3(2)=6
6(4)=24
24 is your answer!
I need a equation written for this pleeeeeaaaassse! The constant of proportionality is 2.
but I need an equation for this, I have an attachment for you to help. g= c is not correct sorry.
Answers
It sounds like your teacher wants g = 2c as the answer. The constant of proportionality simply tells us what to multiply the input variable by, to get the output variable.
It's similar to saying y = 2x, but we use c in place of x and use g in place of y.
Find the value of x
A. 180
B. 60
C. 14
D. 35
Answers
Answer:
A
Step-by-step explanation:
THIS IS MY ANSWER MARK ME
By the vertical angle theorem, the 60 and the 5x - 10 are congruent and equal. Put them equal to each other and solve for x. You end up with X = 14
20.35 - 08.57 - 09.99
Answers
Answer: 1 .79
Step-by-step explanation:
The depth of water in a water tower that is draining is decreasing at a constant rate of 1.75 feet per hour. If
the depth after 6 hours of draining is 8 feet then write an equation for the water depth, d, as a function of the
amount of time it's been draining, t, in hours.
Answers
The linear function for the depth of water after t hours is given by:
[tex]d(t) = 17 - 1.5t[/tex]
The format of a linear function is given as follows:
[tex]d(t) = d(0) - at[/tex]
In which:
d(0) is the y-intercept, which is the initial value.a is the slope, which is the rate of change.The depth of water in a water tower that is draining is decreasing at a constant rate of 1.75 feet per hour, which means that [tex]a = -1.75[/tex], thus:
[tex]d(t) = d(0) - 1.5t[/tex]
The depth after 6 hours of draining is 8 feet, which means that when [tex]t = 6, d(t) = 8[/tex]. This is used to find d(0).
[tex]d(t) = d(0) - 1.5t[/tex]
[tex]8 = d(0) - 1.5(6)[/tex]
[tex]d(0) = 17[/tex]
Then
[tex]d(t) = 17 - 1.5t[/tex]
A similar problem is given at https://brainly.com/question/16302622
What is the value of x?
Enter your answer in the box.
X=
Answers
Answer:
x=45°
Step-by-step explanation:
80+55=135°
180°-135°=45°SHOVELLING THE DRIVEWAY | DAY 2
3.
Write a context and a related multiplication sentence that could be represented
by this model.
Answers
3x3=9
3x2=6
Why? Because the shaded blocks have a row of three for each column, and there are 3 columns. Then same goes for 3x2!
Need help ASAP! Directions in picture ;)
Answers
Use synthetic division to solve the following: 2x^4 + 11x^3 + 13x^2 + 2x – 8 ÷ x +4
Answers
Answer:
x=-5
Step-by-step explanation:
between what two whole numbers is the cube root of 10
Answers
Answer:
2 and 3
Step-by-step explanation:
cube root of 10 is equal to 2,15443469
so this number is between 2 and 3
mr Andrew bought 4 boxes of crayons at the store to share with his students. Each box contained a total of 64 crayons. What is the total number of crayons me Andrew bought at the store?
Answers
Solve x2−4x−12=0 by completing the square. A x=−2 B x=−6 or x=2 C x=−2 or x=6 D x=−6
Answers
Answer:
B x=-6
x=2
Step-by-step explanation: