Sketch a graph of the polynomial function f(x) = –x3 + 5x2 – 2x – 8. Use the graph to complete the following:
f is __________ on the intervals (–∞, –1) and (2, 4).
Fill in the blank with one of these.
(positive, negative, decreasing , increasing)
A function can increase or decrease at an interval.
The blank should be completed with decreasing
The function is given as:
\(\mathbf{f(x) = -x^3 + 5x^2 - 2x - 8}\)
See attachment for the graph of f(x)
On the interval (–∞, –1), the values of f(x) decreases to 0
Similarly, the values of f(x) decreases at interval (2, 4)
Hence, the complete statement is: f is decreasing on the intervals (–∞, –1) and (2, 4).
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On a number line, where would
7/10 be located? Choose all answers that make
a true statement.
7/10 is to the left of 8/10 and 7/10 is to the right of 3/10. The correct options are
B. To the left of 8/10
C. To the right of 3/10
Number lineFrom the question, we are to determine where 7/10 would be located
7/10 is the same as 0.7
0.7 < 8/10 (0.8)
and
0.7 > 3/10 (0.3)
Hence, 7/10 is to the left of 8/10 and 7/10 is to the right of 3/10. The correct options are
B. To the left of 8/10
C. To the right of 3/10
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Signature of the Principle investigator on the final proposal implies his responsibility for the following except
The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.
The signature of the Principal Investigator (PI) on the final proposal does not imply responsibility for certain aspects of the project beyond their control or expertise. While the PI plays a crucial role in leading and overseeing the research project, there are certain areas for which they may not bear direct responsibility.One aspect the PI may not be responsible for is the availability of funding. Although they may have been involved in securing the initial funding or writing the budget proposal, the final decision and availability of funds typically lie with funding agencies, institutions, or sponsors. The PI's signature on the proposal signifies their commitment to the project but does not guarantee funding.Additionally, the PI may not be accountable for the technical or scientific success of every aspect of the project. Research projects often involve interdisciplinary collaborations and multiple team members who contribute their expertise. The PI's signature signifies their leadership and overall responsibility, but they rely on the expertise and contributions of other team members for specific tasks and outcomes.Furthermore, the PI may not bear sole responsibility for external factors that can impact the project, such as changes in regulations, unforeseen events, or external market conditions. While they may adapt the project's direction and approach as needed, these external factors are beyond their direct control.In summary, the signature of the Principal Investigator on the final proposal does not imply responsibility for funding availability, technical success of every aspect, or external factors that may influence the project. The PI's role is primarily centered around leadership, coordination, and overall project management.The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?
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Please answer this question
Answer:
$40.00 is the answer
Step-by-step explanation:
also can you mark me as a brainlist if you get a chance
Answer: $40.00
Step-by-step explanation:
12 is 30% of 40
why is angel 6 congruent to angel 2
Step-by-step explanation:
Angle 6 is only equal to angle 2 if the lines are parallel. The horizontal line is being intersected by two lines, if they are parallel then <6 = <2. They are equal because the horizontal line is straight, meaning anything crossing it that are parallel wil creat equal angles
Given the point with Cartesian coordinates, (3√3,−3), find the polar coordinates of the point.
Answer: (6,11π/6).
Step-by-step explanation:We need to find the radius r and the angle θ. Remember that r2=x2+y2, so
because of the signs of x and y, our angle is in quadrant IV. Therefore, we find that θ=11π/6.
So the final answer is (6,11π6).
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
What is the measure of o?
Answer:
2π radians
Step-by-step explanation:
8/10-5/10 help me i need to do this for math
Answer:
3/10
Step-by-step explanation:
Answer:
\(\frac{3}{10}\)
Step-by-step explanation:
\(\frac{8}{10}\) - \(\frac{5}{10}\) = \(\frac{3}{10}\)
Hope this helps. Plz give brainliest.
x + 121 = 4x - 20 what is x
Answer:
x = 47
Step-by-step explanation:
x + 121 = 4x - 20
-3x + 121 = - 20
-3x = -141
x = 47
So, the answer is x = 47
who wants to play rocket league with me
I'm gold3 so sry
Answer:
Bet
Step-by-step explanation:
Answer:
Your on
Step-by-step explanation:
Does someone have a fennec in rocket league and someone who can trade it on switch?
A construction crew needs to pave a road that is 206 miles long. The crew paves 7 miles of the road each day. The length L (in miles), that is left to be paved after d days is given by the following function. L (d) = 207-7dHow many miles of road does the crew have left to pave for 13 days?If 143 miles of road is left to be paved, how many days has the crew been paving the road?
Answer:
Explanation:
Given:
L (d) = 207-7d
where:
L (d) = the length L (in miles), that is left to be paved after d days
d= number of days
To find the amount of miles of road that the crew have left to pave for 13 days, we plug in the given number of days into the equation:
L (d) = 207-7d
=207-7(13)
=116 miles
So, the crew have left 116 miles to pave for 13 days.
If 143 miles of road is left to be paved, the amount of days that the crew have been paving the road is:
L (d) = 207-7d
143 miles = 207-7d
Simplify and rearrange
7d=207-143
7d=64
d=64/7
d=9.14 days
Therefore, the crew have been paving for 9.14 days if 143 miles of road is left to be paved.
4x-5 2x+7 Find the value of x
answers should be from
27
37
47
57
A florist makes centerpieces.
18 roses in each centerpiece.
best way to use compatible numbers to
estimate the number of roses the florist
needs for 24 centerpieces?
A 10 x 25 = 250
B 20 x 25 = 500
D
25 X 30 = 750
30 × 30 = 900
The best compatible number to use for 24 x 18 = 432.
24 can be written as 25
18 can be written as 20.
So,
20 x 25 = 500
Option B is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The number of roses in one centerpiece = 18 roses.
The number of roses in 24 centerpieces.
= 24 x 18
= 432
The best compatible number to use for 24 x 18 = 432.
24 can be written as 25
18 can be written as 20.
So,
20 x 25 = 500
Thus,
The best compatible number to use for 24 x 18 = 432.
24 can be written as 25
18 can be written as 20.
So,
20 x 25 = 500
Option B is the correct answer.
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The initial price for wingstop is $40. After using a 30% discount, what is the
new cost?
Answer:
$28 dollars is the new cost
Step-by-step explanation:
$40 - 30% = $28
Simplify 3x ^3 + 3 (3x^ 3 − 7b^ 5 ).
A. 12x^3 − 7b^5
B. 12x^3 − 21b^5
C. 3x^3 − 30x^3 b^5
D. 12x^6 − 21b^5
Answer:
From your selections of answers, It's B: 12 x^3 - 21 b^5, but it's not completely simplified.
Step-by-step explanation:
Simplify the following:
3 (3 x^3 - 7 b^5) + 3 x^3
3 (3 x^3 - 7 b^5) = 9 x^3 - 21 b^5:
3 x^3 + (9 x^3 - 21 b^5)
Grouping like terms, 9 x^3 + 3 x^3 - 21 b^5 = (3 x^3 + 9 x^3) - 21 b^5:
(3 x^3 + 9 x^3) - 21 b^5
3 x^3 + 9 x^3 = 12 x^3:
12 x^3 - 21 b^5
Factor 3 out of 12 x^3 - 21 b^5:
Answer: (3 (4 x^3 - 7 b^5)) = 12 x^3 - 21 b^5
what does 3x(4y-7) = ?
Answer: 12xy - 21x
Step-by-step explanation:
Answer:
5 i think the explanation is at the bottom if i'm right please star
Step-by-step explanation:
3x4-7=5
Please help
Thank yoy
Answer:
I think its graph 4
Step-by-step explanation:
Answer:
i believe is graph 1.
Step-by-step explanation:
American Vending supplies vended food to a large university. Because students often kick the machines out of anger and frustration, management has a constant repair problem. The machines break down in a mean of 3 hours with a standard deviation of 3 hours. One repair worker can service one machine in a mean of 2 hours with a standard deviation of 2 hours. Currently, TWO repair workers are hired. Average flow time (W) was calculated as 2.305 from the posted queueing template. --- Average down machines in the entire system (L) are ___.
Answer:
0.77
Step-by-step explanation:
From the information given:
The breakdown time (a)= 3 hours
The breakdown rate (λ) = 1/a = 1/3
Average flow time in the system (W) = 2.305 hours
For the entire system;
The average down machines L = Wλ
= 2.305 × (1/3)
= 0.77
A contractor better job at $750 for materials plus $43 per hour for labor. The total cost for the job can be modeled by C= 43H+ 750$.
Find the number of hours that he has for the job if the owner would like the total cost to be under $2000, rounded to the nearest hour.
The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.
To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.
Since the owner wants the total cost to be under $2000, we can set up the inequality:
43H + 750 < 2000
Now, let's solve this inequality for H, the number of hours:
43H < 2000 - 750
43H < 1250
Dividing both sides of the inequality by 43:
H < 1250/43
To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.
Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:
H < 29
Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.
By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.
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Sandy can read 25 words in 5 seconds. At that
rate
Answer:
5 words a second because 5÷25 is 5 so in 1 second she reads 5 words
The scale of a model house to the actual house is 1:150. If the actual house size is 40 feet high, how many feet tall is the model? (round your answer to the nearest tenth
Answer: 0.3 feet
Work Shown:
(1 ft)/(150 ft) = (x ft)/(40 ft)
1/150 = x/40
1*40 = 150*x
40 = 150x
x = 40/150
x = 4/15
x = 0.2667 approximately
x = 0.3
Note: 0.3 ft = 0.3*12 = 3.6 inches
Use each picture or description of a triangle, write and solve an equation in order to find the number of degrees in each angle
Answer:
4x + 7x - 2 + 5x - 10 = 180
16x - 12 = 180
16x = 192
x = 12
m<A= 4x = 4(12) = 48
m<B = 7x - 2 = 7(12) - 2 = 84 - 2 = 82
m<C = 5x - 10 = 5(12) - 10 = 60 - 10 = 50
Step-by-step explanation:
.
The mid point of the line segment joining the points A(4,7) and B(2,5)
Answer:
hope it helps you.......
It May Help You
Thank You:)
Kajol has $75. This is 3/8 of the amount she earned. How much did she earn?
Answer:
$200
I hope this helps!
Answer:
200rupees
Step-by-step explanation:
according to the question ,kajol has 75 rupees
amount earned=3/8* amount earned
=75/3*8
=200 rupees
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<GFD and <EFI
Step-by-step explanation:
<GFI and <GFD are supplementary angles.
<GFD and <EFI are vertical angles.
<JIF and <JIK are supplementary angles.
<JIF and <EFI are alternate interior angles.
Triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4). Determine the translation direction and number of units of the image of triangle JKL if vertex J′ is at (−3, −5).
4 units down
4 units up
2 units to the right
2 units to the left
A triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). The translation direction is 2 units to the left. The number of units of the image of triangle JKL is 2 units to the left only.
Given that a triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). We have to determine the translation direction and the number of units of the image of triangle JKL. Let's first find the translation direction to determine the image of triangle JKL.
Seeing the position of J and J', we can determine that the translation was made in the left direction because J has moved from the point (-1,-5) to (-3,-5). Thus, the translation direction is 2 units to the left. Now, let's calculate the number of units of the image of triangle JKL.
Let's draw a rough sketch of the triangle JKL and locate its vertices J(-1,-5), K(-2,-2), and L(2,-4).To find the number of units of the image of triangle JKL, we need to find the horizontal and vertical distances between the vertices of the original triangle and its image.
We can use the horizontal distance between J and J′ as a reference to calculate the remaining distances. J has moved 2 units to the left, so the horizontal distance between J and J′ is 2. Now, let's calculate the vertical distance between J and J′. The coordinates of J and J′ are (-1,-5) and (-3,-5), respectively.
The difference between the y-coordinates of J and J′ is 0, which means that J and J′ are on the same horizontal line. Therefore, the vertical distance between J and J′ is 0. Hence, the image of the triangle JKL has moved 2 units to the left and 0 units vertically. Thus, the number of units of the image of triangle JKL is 2 units to the left only.
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WHO KNOWS HOW TO DO THIS LET ME KNOW
Answer:
Step-by-step explanation:
7). Since, ∠4 and ∠5 are the linear pair of angles,
m∠4 + m∠5 = 180° [Supplementary angles]
72° + m∠5 = 180°
m∠5 = 180° - 72°
m∠5 = 108°
8). Since, ∠6 and ∠7 are the vertically opposite angles,
Therefore, ∠6 ≅ ∠7
m∠6 = m∠7
3x + 94 = 9x - 38
9x - 3x = 94 + 38
6x = 132
x = 22
m∠6 = 3(22) + 94 = 160°
m∠7 = 9(22) - 38 = 160°
9). Since, ∠2 and ∠3 are the linear pair of angles, both the angles will be supplementary.
m∠2 + m∠3 = 180°
(13x + 54) + (2x + 36) = 180°
15x + 90 = 180°
15x = 90
x = 6
m∠2 = 13(6) + 54 = 132°
m∠3 = 2(6) + 36 = 48°
Consider the sequence {an} = {nrn}. Decide whether {an} converges for each value of r.
(a) r = 1/5
(b) r = 1
(c) r = 1/6
For what values of r does the sequence {nr^n} converges?
Answer:
a). converges
b). diverges
c). converges
Step-by-step explanation:
{ \($ a_n $\) } = { \($ nr^n $\) }
Using radio test,
L = \($ \lim_{n \rightarrow \infty} |\frac{a_n + 1}{a_n}| $\)
= \($ \lim_{n \rightarrow \infty} |\frac{(n+1)r^{n+1}}{nr^n}| $\)
= \($ \lim_{n \rightarrow \infty} |(1+\frac{1}{n})^r| $\)
= \($ \lim_{n \rightarrow \infty} |r| $\)
= |r|
Therefore, \($a_n$\) converges in |r| < 1
a). r = 1/5
\($\{ a_n \}= \{\frac{1}{5}, n \}$\)
This sequence is monotonically decreasing and bounded.
0 < \($ a_n $\) < 1
Hence, { \($ a_n $\) } converges.
b). r = 1
{ \($ a_n $\) } = { n }
This sequence is monotonically increasing sequence which is not bounded.
Hence, { \($ a_n $\) } diverges.
c). r = 1/6
\($\{ a_n \}= \{\frac{1}{6}, n \}$\)
This sequence is monotonically decreasing and bounded.
0 < \($ a_n $\) < 1
Hence, { \($ a_n $\) } converges.
For |r| < 1, the \($a_n$\) converges.
just explain how this is "Reflexive Property" (30 points)!!
The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.
In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.
So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.