x^2 - 3x + 9 - 5x + 10 = 0
x^2 - 8x + 19 = 0
[tex]x^{2} -3x+9=5x-10 <=> x^{2} -3x-5x+9+10=0\\<=>x^{2} -8x+19=0 <=>x^{2} -2.4+16+3=0\\<=>(x-4)^2+3=0[/tex]
ok done. Thank to me :>
graph h(x)=x^4-3x^2+x. identity the x intercepts and the points where the local maximum and local minimum occur. determine the intervals for which the function is increasing or decreasing.Round to the nearest hundredth if necessary
I hope this helps you. Give a like
The x-intercept are x = 0, x = -1.9, x = 0.35, and x = 1.5.
The local minimum is 1.
The function is increasing at the interval (-1.5, 0.5) and (1, ∞).
The function is decreasing at the interval (∞, -1) and (0, 1.5).
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
h(x) = [tex]x^4[/tex] - 3x² + x
The x-intercept is when h(x) = 0.
0 = [tex]x^4[/tex] - 3x² + x
From the graph, we see that,
The x-intercept are at x = 0, x = -1.9, x = 0.35, and x = 1.5
Now,
h(x) = [tex]x^4[/tex] - 3x² + x
h'(x) = 4x³ - 6x
h''(x) = 12x² - 6 (positive)
So,
h(x) has a minimum value.
h'(x) = 0
4x³ - 6x = 0
4x³ = 6x
4x² = 6
x² = 6/4
x² = 3/2
x² = 1.5
x = ±√1.5
x = ±1.22
The minimum values are:
h(1.22) = [tex]x^4[/tex] - 3x² + x = -1
h(-1.22) = [tex]x^4[/tex] - 3x² + x = 1
The local minimum is 1.
From the graph, we see that,
The function is increasing at the interval (-1.5, 0.5) and (1, ∞).
The function is decreasing at the interval (∞, -1) and (0, 1.5).
Thus,
The x-intercept are x = 0, x = -1.9, x = 0.35, and x = 1.5.
The local minimum is 1.
Increasing intervals are (-1.5, 0.5) and (1, ∞).
Decreasing intervals are (∞, -1) and (0, 1.5).
Learn more about functions here:
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What is the expression after applying the distributive property? −12(−2+(−3))
Answer:
60
Step-by-step explanation:
-5.-12=60
Hey there!
-12(-2 + (-3))
= -12(-2 - 3)
DISTRIBUTE -12 within THE PARENTHESES
= -12(-2) - 12(-3)
= 24 + 36
= 60
Therefore, your answer is: 60
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
PLEASE I AM IN DESPERATE NEED OF HELP
Answer:
third one
Step-by-step explanation:
a number is less than 3 1/2
carter construction has been asked to pave the parking lot of a local bank. how many square feet of pavement will they need to cover the whole parking lot?
Solve the system of inequalities by graphing.
12x+6y≥15
2x-4y>8
Answer:
?
Step-by-step explanation:
What is 826x98= ?
826x98 is 80948
Answer:
im pretty sure we keeps the account sorry this isnt for the math question
Step-by-step explanation:
826×98=80948
Answer:
80,948
Step-by-step explanation:
that's the answer.
given the function f(x)=-2x^4-16x^3-36x^2, determine all intervals on which f is both decreasing and concave down
Answer:
(0, ∞)
Step-by-step explanation:
The only maximum, local or otherwise, is at x=0. Since the leading coefficient is negative, the function is decreasing and concave down for x-values greater than 0.
0 < x < ∞ . . . . . decreasing and concave down
__
Since the leading coefficient of this even-degree function is negative, it will have a generally ∩ shape. It will be decreasing to the right of any local maximum.
The first derivative is negative only for x > 0, so that is the only region where the function is decreasing. Since that x=0 is a local maximum, the function must be concave downward in that neighborhood.
__
The attached graph shows the function and its first and second derivatives. The function is concave down where the second derivative is negative, to the right of the right-most point of inflection.
_____
Additional comment
A graphing calculator provides a quick answer to a question like this. You can find the same answer algebraically.
The first derivative is ...
f'(x) = -8x^3 -48x^2 -72x = -8x(x^2 +6x +9) = -8x(x+3)^2
This has a zero at x=-3 where the graph of it touches the x-axis, but does not change sign. That means f(x) has a flat spot at x=-3, but is not decreasing except to the right of x=0.
The second derivative is ...
f''(x) = -24x^2 -96x -72 = -24(x^2 +4x +3) = -24(x +1)(x +3)
The second derivative will be negative for x < -3 and x > -1, to the left and right of the points of inflection. This means f(x) is concave upward only for -3 < x < -1, and concave downward everywhere else.
The function is concave downward and decreasing for x > 0.
Graph the line with the equation y = 2x - 2
Answer:
y-intercept is -2 slope is up 2 right 1(2/1)
Step-by-step explanation:
Which equation is NOT a linear? function
Answer:
A
Step-by-step explanation:
Because the x-intercept is zero and if you want to show it on a graph it is a quadratic function.
−x<−29 solve for X just please commet fast im on khan right now
Answer:
x > 29
Hope you level up in khan :)
[tex]-x <-29 <=>\frac{-x}{-1} >\frac{-29}{-1} <=>x >29[/tex]
Ok done. Thank to me :>
help with my math please
Answer:
j mmmmmmm
Step-by-step explanation:
mmmmmmmmm
solve the following equation: 0.4(g-2)+1.2=-(g-1)+2.9
Answer:
g = 2.5
Step-by-step explanation:
0.4(g - 2) + 1.2 = - (g - 1) + 2.9 ← distribute parenthesis on both sides
0.4g - 0.8 + 1.2 = - g + 1 + 2.9 ( simplify both sides )
0.4g + 0.4 = - g + 3.9 ( add g to both sides )
1.4g + 0.4 = 3.9 ( subtract 0.4 from both sides )
1.4g = 3.5 ( divide both sides by 1.4 )
g = 2.5
Express each ratio as a fraction in simplest form.
2 gallons to 27 quarts
The ratio 2 gallons to 27 quarts as a fraction in its simplest form is 4/27
The given ratio is:
2 gallons to 27 quarts
This can also be written as:
2 gallons : 27 quarts
Convert 27 quarts to gallons so that both items in the ratio can be of equal unit
Note that:
1 quart = 0.25 gallons
27 quarts = 0.25 x 27
27 quarts = 6.75 gallons
The ratio can therefore be re-written as:
2 gallons : 6.75 gallons
In fraction form:
2 gallons : 27 quarts = 2/6.75
Multiply the numerator and denominator by 4
2 gallons : 27 quarts = 4/27
The ratio 2 gallons to 27 quarts as a fraction in its simplest form is 4/27
Learn more here: https://brainly.com/question/25843849
Which pairs of angles are alternate interior angles? Select all that apply.
A. 3 and 6
B. 3 and 8
C. 4 and 5
D. 4 and 7
E. 1 and 8
PLEASE HURRY!!
PLEASE HELP ME 100 POINTS (make full screen)
Answer:
See belowStep-by-step explanation:
Part 1Corresponding angles and sides of ΔMNP and ΔUVW are congruent:
∠M ≅ ∠U MP ≅ UW∠P ≅ ∠W PN ≅ WV∠N ≅ ∠V MN ≅ UVPart 2The triangles are congruent by SAS. One side and angle marked as congruent and another side is congruent as common to both.
Corresponding sides are congruent:
3x - 5 = 2x + 13x - 2x = 1 + 5x = 6Part 3Given ∠C ≅ ∠D
In order to prove the congruence of ΔAED and ΔBEC by ASA we need another angle and the included side to be congruent.
We can observe ∠AED ≅ ∠BEC as vertical angles.
Additional information we need is:
DE ≅ CEPart 4Triangles ABC and ADC are congruent by SAS:
AB ≅ AD∠DAC ≅ ∠BACAC ≅ ACTherefore corresponding sides BC and CD are also congruent
Perimeter of ABCD is:
P = AB + BC + CD + ADP = 12.1 + 7.8 + 7.8 + 12.1 = 39.8 cmAnswer:
Free to use your own personal information ℹ to help you find the best deal for the your business in the word of the day you free to do it and you can get a ghost 500k for your invitation or your personal life to make a name for your family and your family Merry Christmas and Happy New Year to you and your family Merry are you the
| x | < 2
solve the inequality and then graph the solution
Answer:
Any number smaller than 2
Step-by-step explanation:
You would graph this by wrighting a solid, filled in circle with an arrow point toward the negative numbers, because those numbers are smaller than 2
3. There are 12 red balloons and 14
blue balloons in the bouquet.
What is the ratio of red balloons to blue balloons?
Answer:
6:7
Step-by-step explanation:
Divide 12 and 14 by 2 to simplify the ratio.
Answer: 6:7
Step-by-step explanation:
The number of red balloons in 12 and the number of blue ones is 14, which can be written as 12:14. 12:14 can be simplified to 6:7
Can someone help me with this question
Answer:
$2.40
Step-by-step explanation:
Answer:
48 mph
Step-by-step explanation:
Since you get fined $12 for each mile per hour over and she was fined $96, we can set an equation to find how many miles per hour she was over:
12*x=96
x=8 mph over the speed limit
Since the speed limit is 40, then she was going 40+8=48mph
If 4 notebooks and 3 packages of pens cost $7.43 and 5 notebooks and 2 packages of pens cost $7.03, what is the price of 1 notebook?
A) $0.89
B) $0.79
C) $1.29
D) $1.09
5(4x + 3y) = $7.43 × 5
or, 20x + 15y = $37.15 ...(3)
Multiply equation (2) with 4, we get4(5x + 2y) = $7.03 × 4
or, 20x + 8y = $28.12 ...(4)
Subtract (4) from (3), we have20x + 15y-(20x + 8y) = $37.15 - $28.12
or, 7y = $9.03
or, y = $1.29
4x + 3y = $7.43or, 4x + 3($1.29) = $7.43
or, 4x + $3.87 = $7.43
or, 4x = $7.43 - $3.87
or, 4x = $3.56
or, x = $0.89
Answer:
A) $0.89
Hope you could get an idea from here.
Doubt clarification - use comment section.
Solve four ninths minus four tenths equals blank.
Answer:
2/45
Step-by-step explanation:
How many ways are possible to select a president and vice president from an
association with 5400 members?
The Answer there are 9*8 = 72 ways to choose a president and vice president
Step-by-step explanation:
Find the values of x and y.
Answer:
x=68/9; y=38/3.
Step-by-step explanation:
1) according to the condition m(ABC)=m(DEF), then 6y-4=80, ⇒ y=38/3;
2) according to the condition AB=DE, then 10=3x-y. If y=38/3, then 10=3x-38/3; ⇒ x=68/9.
14. Janine has job offers at two companies. The Nabisco company offers her a starting salary of $28,000 plus $2,000 for transportation costs with a raise of $3000 each year. The Keebler company offers a starting salary of $36,000 with a $2000 a year raise, After how many years would her salary at Nabisco be greater than Keebler?
Answer:
eight years
Step-by-step explanation:
at year one: nabisco 30k and keebler: 36k
year two: nabisco: 33k and keebler: 38k
year three: nabisco: 36k and keebler: 40k
year four: nabisco: 39k and keebler: 42k
year five: nabisco: 42k and keeber: 44k
year six: nabisco: 45k and keebler 46k
year seven: nabisco: 48k and keeber 48k
year eight: nabisco: 51k and keebler 50k
A camping leader bought the items listed in the table for his team.
What is the average cost of an item in his purchase?
$4.55
$5.93
$6.25
$6.35
Answer:
5.93
Step-by-step explanation:
6 x 9.45 = 56.7
10 x 6.95 = 69.5
14 x 5.50 = 77
9 x 3.10 = 27.9
56.7 + 69.5 + 77 + 27.9 = 231.1
6 + 10 + 14 + 9 = 39
231.1 / 39 = 5.925 = 5.93
0.2(3m − 6) + m = 2 for 8th grade
Answer:
2
Step-by-step explanation:
0.6m-1.2+m=2
1.6m-1.2=2
1.6m=3.2
m=2
aaaaaaaaaaaaaaaaaaaa
Answer:
what grade are you??..........
A 17 ft ladder leans against the side of a house. The top of the ladder is 14 ft off the ground. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.
Answer:
55.4
Step-by-step explanation:
Think of it as a right angled triangle, the length of the ladder (17ft) is the hypotenuse, the length of the ground (14ft) is the rise, we then use sin to get the angle as the angle of elevation is the angle between the ladder and the ground hence sin^-1 (14/17) and you get your angle.
To make his energy drink, Jerome used 8 cups of water and 3 cups of drink mix. What is the ratio of water to drink mix?
Answer:
I believe the answer is 3:11.
Which graph represents the function f(x) = −|x − 2| − 1?
Answer:
Graph C
Step-by-step explanation:
is this correct ? if not what’s the correct answer?
Answer:
YES 68 is the correct answer