Answers
hello,
" a turning point is defined as the point where a graph changes from either increasing to decreasing, or decreasing to increasing"
a)
[tex]y=x^3+x^2-6x\\\\y'=3x^2+2x-6=0\\x=\dfrac{-2-\sqrt{76} }{6} \approx{-1.786299647...}\\or\\x=\dfrac{-2+\sqrt{76} }{6} \approx{1.1196329...}\\[/tex]
b)
Zeros are -3,0,2.
Sol={-3,0,2}
The solution of the graph function y=x³+x²-6x are -3 , 0 and 2
What is graph?The link between lines and points is described by a graph, which is a mathematical description of a network. A graph is made up of certain points and the connecting lines. It doesn't matter how long the lines are or where the points are located. A node is the name for each element in a graph.
We have the function
y=x³+x²-6x
now, equating it to 0
x³+x²-6x = 0
x² + x - 6= 0
x² - 3x + 2x -6 =0
x(x -3) + 2(x -3)
x= 3 and -2
Now, ew can see from the that the equation is touching the x-axis at three points and it will represent three zeroes of the equation.
So, the solution of the graph are -3 , 0 and 2
Learn more about graph here:
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Related Questions
what is the mesure of DBC?
Answers
Answer:
41
Step-by-step explanation:
EH is a diameter of D. The measure of ef is (10x+ 8) and the measure of gh is (11x). Determine the values
Answers
Answer:
x = 5
arcEF = 58degrees
arcGH = 55degrees
Step-by-step explanation:
Find the diagram attached
The sum of angle on the straight line EH is 180degrees
Hence arcEF+ arcFG + arcGH = 180
10x+8 + 67 + 11x = 180
21x + 75 = 180
21x = 180 - 75
21x = 105
x = 105/21
x = 5
Since EF = 10x+8
arcEF = 10(5) + 8
arcEF = 50+8
arcEF = 58degrees
Also, arcGH = 11x
arcGH = 11(5)
arcGH = 55degrees
the maximum mark of 30 student is 100. if its range is 75, find the minimum mark and coefficient of range.
Answers
Answer:
3000 ................,...
What is the sum and classification of StartFraction 3 Over 20 EndFraction + StartRoot 10 EndRoot?
3.31227766..., irrational
3.31227766..., rational
18.16227766..., irrational
18.16227766..., rational
Answers
9514 1404 393
Answer:
3.31227766..., irrational
Step-by-step explanation:
3/20 +√10 = 0.15 + 3.16227766017...
The root of 10 is irrational, so adding that to a rational number will give an irrational sum.
The sum is about 3.31227766017..., an irrational number.
Answer:
A
Step-by-step explanation:
Find the coordinates of P so that P partitions segment AB in the part-to-whole ratio of 1 to 3 with A(6, -10) and B(9, -1).
Answers
Answer:
Step-by-step explanation:
Use the formulas that allow us to find the point that divides the segment into a ratio which is
[tex]x=\frac{bx_1+ax_2}{a+b}[/tex] and [tex]y=\frac{by_1+ay_2}{a+b}[/tex] where a is 1 (comes from the ratio) and b is 3 (comes from the ratio as well). Filling in:
[tex]x=\frac{3(9)+1(6)}{1+3}=\frac{27+6}{4}=\frac{33}{4}[/tex] and then y:
[tex]y=\frac{3(-1)+1(-10)}{1+3}=\frac{-3-10}{4}=-\frac{13}{4}[/tex] so the coordinates in question are
[tex](\frac{33}{4},-\frac{13}{4})[/tex]
Answer:
Step-by-step explanation:
the answer would be (7,-7)
знайка и незнайка розв'язували задачі з математики,знайка розв'язав 15\19 усіх задач.Скільки всього задач розв'язали Знайка і Незнайка,якщо Знайка розв'язав на 44 задачі більше,ніж Незнайка?
Answers
The marked price of a fan is Rs 1,620 and selling price is Rs 1,539. Find the discount amount.
Answers
Answer:
rs. 81
Step-by-step explanation:
given,
mp. = 1620
sp. = 1539
now,
discount = mp - s.p = 1620 - 1539 = 81
Solve |x - 5| = 7 ......
Answers
Answer:
12,-2
Step-by-step explanation:
Consider the transfer function a. By rewriting Eq. (7.283) in the form find a series realization of as a cascade of two first-order systems. b. Using a partial-fraction expansion of , find a parallel realization of . c. Realize in control canonical form.
Answers
Answer:
B
Step-by-step explanation:
plss pa brainliest me thanks
How to solve this step by step n get the answer
Answers
Answer:
Answer 1 :-
[tex]\implies m_1 = -3 [/tex]
[tex]\implies y - intercept = 7 [/tex]
Answer 2 :-
[tex]\implies m_1 = -\dfrac{1}{2} [/tex]
[tex]\implies y - intercept = -4 [/tex]
Step-by-step explanation:
The Slope Intercept Form of the line is given to us . The equations given are ,
[tex]\implies y + 3x = 7 [/tex]
[tex]\implies y + \dfrac{1}{2}x = -4 [/tex]
Now we know the standard equation of slope intercept form , is
[tex]\implies y = mx + x [/tex]
Where ,
m is slopec is y intercept .So , we can write about the equations as ,
[tex]\implies y = -3x + 7 [/tex]
[tex]\implies y = - \dfrac{1}{2}x -4 [/tex]
On comparing to the Standard form ,
Answer 1 :-
[tex]\implies m_1 = -3 [/tex]
[tex]\implies y - intercept = 7 [/tex]
Answer 2 :-
[tex]\implies m_1 = -\dfrac{1}{2} [/tex]
[tex]\implies y - intercept = -4 [/tex]
An auto transport truck holds 12 cars. A car dealer plans to bring in 1,006 new cars in June and July. If an auto transport truck is filled for each delivery, except for the last one, how many full truckloads are needed and how many cars will be in the last truck?
Answers
The bit left over is the answer to the second part, the last truck. 0.8333 is the same as 10/12, so the last truck will have 10 cars in it. If we didn’t know that fraction, we could find the answer by saying 12x83 = 996. 1006 - 996 = 10.
So the final answer is: 83 full trucks and 10 cars in the last truck.
what is the quotient of 3/4 ÷ 5/12
Answers
Answer:
1 4/5
Step-by-step explanation:
3/4 ÷ 5 /12
Copy dot flip
3/4 * 12/5
Rewriting
3/5 * 12/4
3/5 * 3
9/5
1 4/5
Write 2 x 8 x 64 in index notation with the smallest base.
Answers
Answer:
Step-by-step explanation:
Prime factorize 8 and 64
8 = 2* 2 * 2 = 2³
64 = 2*2*2 *2*2*2 = 2⁶
2*8*64 = 2* 2³ *2⁶ = 2¹⁺³⁺⁶ = 2¹⁰
In exponent multiplication, if base are same, then add the exponents.
Do you always eat breakfast?
This survey question is bad/biased.
This survey question is good/unbiased.
Answers
Answer:
unbias
Step-by-step explanation:
Not asking specific group or person.
This survey question is bad/biased., This survey question is good/unbiased. This survey question is bad/biased. Option A is correct.
A survey is a method of gathering information or data from a group of individuals to understand their opinions, attitudes, behaviors, or characteristics. Surveys typically involve asking questions to a sample of people and collecting their responses.
The quality of a survey question is important to ensure that the data collected is accurate, reliable, and unbiased. A good survey question should be clear, concise, and neutral, avoiding any potential bias or leading the respondent to a particular answer.
In the case of the question "Do you always eat breakfast?", it can be considered a bad or biased survey question because it assumes that the respondent either always eats breakfast or does not. It doesn't provide options or consider other possibilities such as occasionally skipping breakfast or having different breakfast habits on different days. This can lead to inaccurate or incomplete responses, limiting the validity and reliability of the data collected.
To know more about survey , here
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c
Question 15
1 pts
What is the sum of (3x² – 4x + 8) and
(-22 – 2x – 8) ?
2.02 - 60 + 1
o
222 - 2x
O 2x2
6x
O 2x2 + 62
Answers
Answer:
2x² - 6x
Step-by-step explanation:
(3x² - 4x + 8) + (- x² - 2x - 8) ← remove both parenthesis
= 3x² - 4x + 8 - x² - 2x - 8 ← collect like terms
= 2x² - 6x
The time spent by Nadia to answer the geography quiz is 30 minutes more than the time spent to answer the history quiz. What is the total time that Nadia took to answer both quizzes?
Answers
Answer:
1 hour
Step-by-step explanation:
hope it helps ....
Complete the equation: 2^2 – 14x + __ = (_)^2
A. –14; 2 + 14
B. -14; 2 – 14
C. 49; 2 +7
D. 49; r - 7
Answers
the question is on the image
Answers
Answer:
€3,551.05
Step-by-step explanation:
31*29=899
899*3.65=€3,551.05
the school will get an estimate of €3,551.05
The white triangle drawn on the road sign in the picture has a helght of 8" and a base of 5". The red rim around the edge adds another Inch to each dimension making the base of the larger triangle 12 inches. Ignoring the white edge around the very outside, what is the area of the red border? (Hint: find the area of the whole triangle and subtract the area of the smaller triangle inside it.
Answers
Answer:
The answer would be
Step-by-step explanation:
you multiple 8 and 5 then you multiple 12 (inches) then subtract the inch that makes up 12 let me know if you need help
Find the length of side xx in simplest radical form with a rational denominator.
Answers
Answer:
[tex]\frac{5\sqrt{2} }{2}[/tex]
Step-by-step explanation:
Divide 5 by [tex]\sqrt{2}[/tex] , then rationalize denominator
Answer:
Solution given:
Since the given triangle is isosceles and right angled triangle
perpendicular [p]=base[b]=x
hypotenuse [h]=5
we have
by using Pythagoras law
p²+b²=h²
x²+x²=5²
2x²=25
x²=25/2
x²=18
x=[tex]\sqrt{\frac{25}{2}}[/tex]
x=[tex]\bold{\frac{5\sqrt{2}}{2}}[/tex]
What is the answer to this
Answers
Answer:
Step-by-step explanation:
What is the slope of the line shown below?
Answers
Answer:
Hello there,
The correct answer to this question would be D 1/6
Step-by-step explanation:
I had took the test and it said it was correct.
Anyways hope this helps
if the answer is correct pls mark Brainliest
thank you, have a nice day
Use the image below and find the missing angles
Answers
Step-by-step explanation:
w = 34° (alternate interior angles)
x = 34° (vertically opposite angles)
y = 101°
z = 79° (corresponding angles)
this is so ez guys cmon
Answers
Answer:
there are 6 units
hope this help
Solve the equation and enter the value of d below. 6d + 7 d= 39
Answers
Answer:
d=3
Step-by-step explanation:
13d=39
d=39/13
d=3
Hello!
6d + 7d = 39 <=>
<=> 13d = 39 <=>
<=> d = 39 : 13 <=>
<=> d = 3 => 6 × 3 + 7 × 3 = 39
Good luck! :)
How long is JK?
Choose 1 answer:
A: 3
B: 2 square root 3
C: 3 square root 3
D: 6
E: 9
Answers
Answer:
C) 3 times the sq root of 3
Step-by-step explanation:
In a right angle triangle, the COS is definned as the ajacent side over the hypotenuse. So
COS 60 = JK/JL
COS 60 = JK/(6*sq root 3)
.5 = JK/(6*3**1/2)
JK = .5 *(6*3**1/2)
JK = 3*3**1/2
Answer with explaination every steps
Answers
Answer:
y = - 35
Step-by-step explanation:
Expressing as a fraction , that is
[tex]\frac{y}{-7}[/tex] = 5 ( multiply both sides by - 7 to clear the fraction )
y = - 35
Solve for x. Thank you
Answers
Answer:
Step-by-step explanation:
B/c the bigger triangle is a copy of the smaller we can say
8[tex]\sqrt{3}[/tex] / 12 = x / 8[tex]\sqrt{3}[/tex]
then, solve for x
8[tex]\sqrt{3}[/tex](8[tex]\sqrt{3}[/tex]/12) = x
(64 *3) 12 = x
192 /12 = x
16 = x
nice, the first answer looks good , then :P
Answer:
16
Step-by-step explanation:
Find x from this triangle
Answers
Hello,
we are going to use the theorem of the bissectrice. (if this word is good in english)
[tex]\dfrac{KL}{LM} =\dfrac{KN}{NM} \\\\\dfrac{8}{x} =\dfrac{14}{20-x} \\\\8(20-x)=14x\\\\160-8x=14x\\\\22x=160\\\\x=\frac{160}{22} \\\\x=\frac{80}{11} \\\\\\x=7.\overline{27}[/tex]
Find the missing part.
Answers
Answer:
[tex]y=\frac{15\sqrt{3}}{4}[/tex]
Step-by-step explanation:
We are given that
[tex]\theta_1=60^{\circ}[/tex]
[tex]\theta_2=30^{\circ}[/tex]
We have to find the missing part.
[tex]\frac{x}{15}=cos\theta_1=cos60^{\circ}[/tex]
Using the formula
[tex]\frac{base}{hypotenuse}=cos\theta[/tex]
[tex]x=15cos60^{\circ}=\frac{15}{2}[/tex]
[tex]\frac{z}{15}=sin60^{\circ}[/tex]
Using the formula
[tex]\frac{Perpendicular\;arm}{hypotenuse}=sin\theta[/tex]
[tex]z=15\times \frac{\sqrt{3}}{2}=\frac{15\sqrt{3}}{2}[/tex]
Now,
[tex]\frac{a}{x}=cos60^{\circ}[/tex]
[tex]\frac{a}{\frac{15}{2}}=\frac{1}{2}[/tex]
[tex]a=\frac{1}{2}\times 15/2=\frac{15}{4}[/tex]
[tex]y=x sin60^{\circ}[/tex]
[tex]y=\frac{15}{2}\times \frac{\sqrt{3}}{2}[/tex]
[tex]y=\frac{15\sqrt{3}}{4}[/tex]
