Solve the equation 2x^2 + 3 – 41 = –15 to the nearest tenth.
Hellllpppp
Answers
9514 1404 393
Answer:
x = {-4.4, +2.9}
Step-by-step explanation:
We assume you want to solve ...
2x^2 +3x -41 = -15
Adding 41 and factoring out the leading coefficient gives ...
2(x^2 +3/2x) = 26
Dividing by 2 makes it ...
x^2 +3/2x = 13
We can add the square of half the x-coefficient to "complete the square."
x^2 +3/2x +(3/4)^2 = 13 +(3/4)^2
(x +3/4)^2 = 13.5625 . . . . write the left side as a square
x +3/4 = ±√13.5625 . . . . . take the square root
x = -0.75 ±3.683 = {-4.433, +2.933} . . . . subtract 3/4 and evaluate
The solutions are approximately x = -4.4 and x = 2.9.
Related Questions
Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of
side KL. Round your answer to the nearest tenth if necessary.
N
17
M
52.5
I
K
G
L
37
H
Answers
Answer:
36
Step-by-step explanation:
The shortest route from London to Edinburgh is 400 miles.
A lorry is expected to take 10 hours to travel this route.
The lorry actually travels by a different route which increases the distance by 15%, but it still arrives in 10 hours.
By how many more mph than the expected speed does the lorry travel?
Answers
Answer:
The lorry travels by 6 mph more than the expected speed.
Step-by-step explanation:
Velocity formula:
Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
Shortest route:
400 miles in 10 hours, which means that [tex]d = 400, v = 10[/tex]. So
[tex]v = \frac{d}{t} = \frac{400}{10} = 40[/tex]
In mph.
The lorry actually travels by a different route which increases the distance by 15%, but it still arrives in 10 hours.
Distance is multiplied by 100% + 15% = 115% = 1.15, so:
[tex]d = 1.15*400 = 460[/tex]
Then
[tex]v = \frac{d}{t} = \frac{460}{10} = 46[/tex]
46 mph
By how many more mph than the expected speed does the lorry travel?
46 - 40 = 6 mph
The lorry travels by 6 mph more than the expected speed.
what is a 36% markup to $150 dallors
Answers
Answer:
Markup amount: $54
New price with markup: $204
Step-by-step explanation:
36% markup to $150
We can find the amount of markup by finding 36% of 150.
36% of $150
Write 36% as a decimal and multiply it by the price
0.36(150) = $54
The amount of markup (36%) is equal to $54
When this is added to the original price, the new price is $150 + $54 = $204
Let me know if you have any questions!
What is the probability of spinning a natural number and a number less than 5?
Answers
Answer:
The probability of spinning a 5 or less is 1/8 or, you can say ⅛
Really Hope I helped! ♡♡♤♤♧♧
The probability of spinning a natural number and a number less than 5 would be 2/3.
What is probability?The probability exists the branch of mathematics involving numerical descriptions of how likely an event is to happen, or how likely it exists that a proposition is true. The probability of an event exists in a number between 0 and 1, where, roughly speaking, 0 demonstrates the impossibility of the event and 1 demonstrates certainty.
No of total outcomes =6
No of favorable outcomes=4 {1,2,3,4}
Therefore, Probability of getting a number less than 5 is= 4/6 = 2/3.
To learn more about probability refer to:
https://brainly.com/question/13604758
#SPJ2
Find P(0), P(1) and P(2) for each of the following polynomial.
[tex]p(y) = 2 + y + 2 {y}^{2} - {y}^{3} [/tex]
Answers
[tex] \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]
[tex] \sf \: p(y) = 2 + y + 2y {}^{2} - y {}^{3} [/tex]
[tex] \sf \: p(o) = 2 + (o) + 2(o) {}^{2} - (o) {}^{3} = 2 + 0 + 0 - 0 = 2 [/tex]
[tex] \sf \: p(1) = 2 + (1) + 2(1) {}^{2} - 1 {}^{3} = 2 + 1 + 2 - 1 = 4 [/tex]
[tex] \sf \: p(2) = 2 + 2 + 2(2) {}^{2} - 2 {}^{3} = 4 + 8 - 8 = 4 [/tex]
what does $42,690e(0.03)×(20) equal
Answers
Answer:
77,786.251
Step-by-step explanation:
Answer:
77,786.251 is the answer that equals $42,690e(0.03)×(20)
Step-by-step explanation:
hey mate hope this help you...!
The height of Ahmed is 30 inches . Convert his height to centimeters
Answers
Answer:
height is 76.2 centimeters
1. The set of ordered pairs {(-2, 4), (0,3), (4,11), (7. - 1)}| defined y as a function of x. Which of the following
output of the function when its input is 4?
A) -1
B)-2
C) 0
D) 11
Answers
Answer:d
Step-by-step explanation:because it is i think
HELP ASAP
The highest Common Factor of two prime numbers is 1. *
Is that true or false???
Answers
Answer:
True
Step-by-step explanation:
For example:
HCF of 2 and 3 is 1
Answer:
true
Also i need help with
https://brainly.com/question/24136412?answeringSource=feedPublic%2FhomePage%2F1
A book has a front and a back and 400 pages.
The front and back cover are each 0.9mm thick measured to 1 decimal place.
Each page is 0.13mm thick measured to 2 decimal places.
What is the minimum thickness of the book?
Answers
Answer:
53.8mm
Step-by-step explanation:
(.9*2)+400(1.3)=53.8
branliest please...
What's the area of the trapezoid
Answers
Answer:
i dont know just study hard bro
Step-by-step explanation:
Answer:
A =36 ft^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 ( b1+b2)h where b1 and b2 are the lengths of the bases
A = 1/2 ( 13+5) *4
A = 1/2 ( 18)*4
A =36 ft^2
Which of the following is the square of a binomial?
Answers
Answer:
[tex]16 {x}^{2} + 24xy + 9 {y}^{2} [/tex]
Step-by-step explanation:
U can reduce this into
[tex](4x + 3y) {}^{2} [/tex]
Which is a square.
Now,
16x^2 + 24xy + 9y^2
16x^2 + 12xy + 12xy + 9y^2
4x ( 4x + 3y ) + 3y ( 4x + 3y )
( 4x + 3y ) ( 4x + 3y )
( 4x + 3y )^2
I hope you understand...
Mark me as brainliest...
What equation can you write to solve for x?
Answers
Answer:
(3x) ° + (x+ 10)° = 90°
Step-by-step explanation:
(3x) ° + (x+ 10)° = 90°
3x + x + 10 = 90
4x = 90 - 10
4x = 80
x = 20
(3x) ° = 3 x 20 = 60°
(x + 10)° = 20 + 10 = 30°
Answer: you can either do 3x°(x+10)° or (x+10)°+3x°
the choice is yours. Hope this helps
A dilation has center (0,0). Find the image of the point B (7/4,-3/4) for the scale factor 1/4.
Answers
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Answer:
B'(7/16, -3/16)
Step-by-step explanation:
The scale factor multiplies each coordinate.
B' = 1/4B = 1/4(7/4, -3/4)
B' = (7/16, -3/16)
PLEASEEE HELP ME I WILL MARK YOU JF YOU HELP ME PLEASE
Answers
Given:
A figure of a construction.
To find:
The correct option that represent the given construction.
Solution:
We know that, if a transversal line intersect two parallel lines, then the corresponding angles are equal.
In the given figure, two corresponding angles are constructed by using the compass.
Since the corresponding angles are equal, therefore the construction represents the parallel lines through a point.
Therefore, the correct option is B.
Razon trigonometría que se requiere para calcular la altura de la torre si desde una distancia de 50 m se observa su punto mas alto con un ángulo de 48
Answers
Answer:
se supone que debes usar el SINE RATIO ya que se trata del lado opuesto y la hipotenusa.
This is confusing I need help!
Answers
Answer:
B. The dependent variable is the amount of of money he earns and the independent variable is the number of hours he babysits.
Step-by-step explanation:
The amount of money he earns depends upon the amount of time he babysits.
What is the equation of the directrix of the parabola?
Y=3
Y=-3
X=3
X=-3
Answers
Answer:
its x=-3
Step-by-step explanation:
PLEASE HELP ASAP!!
Q: Use the graph of f below. Assume the entire function is graphed below. Find where f(x)<0.
(graph and answers pictured.)
Answers
Answer:
Option (4)
Step-by-step explanation:
From the graph attached,
We have to find the interval in which the function is less than zero or negative.
Value of the function are along the y-axis and negative value of the function means negative side of the y-axis.
In the graph, function is below the x-axis in the interval x > 4 and x = 6 only.
Therefore, in the interval (4, 6] function f(x) < 0.
Option (4) is the correct option.
How do I factor this equation fully?
Answers
hope that answers your question and best of wishes!!
What is ratio 1 hour and 15 minutes to 50 minutes in lowest terms?
Answers
Answer:
First, convert the hour to minutes.
1 hr = 60 mins
15 mins: 60 mins
1:4
Oh wait I read the question wrong, give me 5 minutes lol. Edit: Nvm, I read it right :). This is the answer.
Answer:
3:2
Step-by-step explanation:
1 hour and 15 minutes can be seen as 75 minutes so it would be
75:50
The highest common mutiple of 75 and 50 are 25. Divide both (75&50) by 25.
The answer would be 3:2
W
Which triangle has 0 reflectional symmetries?
1
Next
Submit
Save and Exit
Answers
Answer:
Step-by-step explanation:
Must be the scalene triangles because they do not have a line of symmetry.
The sides of a scalene triangle are different measurements and there is no line along which you can fold the triangle and get a perfect overlapping.
EXPAND AND SIMPLIFY
Answers
Answer:
5⁴a²
Step-by-step explanation:
(5³a³)÷5a-¹×5-²a²
5³a³÷5a-¹×5-²a²
5³a³÷5¹-²×a-¹+²
5³a³÷5-¹a
5³a³/5-¹a
5³-(-¹)a³-¹
5⁴a²
Find x. Round to the nearest tenth: 29° 500ft
X=[?]ft
Answers
9514 1404 393
Answer:
437.3 ft
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(29°) = x/(500 ft)
x = (500 ft)cos(29°)
x ≈ 437.3 ft
A bag contains 9 red marbles, 6 white marbles, and 8 blue marbles. You draw 4 marbles out at random, without replacement. Find the following probabilities and round to 4 decimal places.
a. The probability that all the marbles are red is
b. The probability that none of the marbles are red is
Answers
Step-by-step explanation:
here are the answers bae. Feel free to ask for more
Triangle ABC is translated to create triangle DFG, as shown below.
2y + 12 cm
212y - 3) cm
312x + 10) cm
12x + 12 cm
G
In these triangles, side AB is congruent to side DF, and side BC is congruent to side FG. Determine the values of x
andy
Show your work
Answers
Answer:
[tex]x=3[/tex]
[tex]y = 9[/tex]
Step-by-step explanation:
Given
The translated triangles
Required
Find x and y
We have:
[tex]AB = DF[/tex]
[tex]BC = FG[/tex]
[tex]AB = DF[/tex] means:
[tex]3(2x + 10) = 12x + 12[/tex]
Open bracket
[tex]6x + 30 = 12x + 12[/tex]
Collect like terms
[tex]12x - 6x = 30 -12[/tex]
[tex]6x = 18[/tex]
Divide by 6
[tex]x=3[/tex]
[tex]BC = FG[/tex] means
[tex]2y + 12 = 2(2y - 3)[/tex]
Open bracket
[tex]2y + 12 = 4y - 6[/tex]
Collect like terms
[tex]4y - 2y = 12+6[/tex]
[tex]2y = 18[/tex]
Divide by 2
[tex]y = 9[/tex]
A veterinary assistant is working at a shelter that houses 53 animals. The shelter uses 1,484 pounds of food each month. How much on average does each animal consume per day in a 28-day month
Answers
Answer:
Each = 1 lb per animal
Step-by-step explanation:
Given
[tex]Animals = 53[/tex]
[tex]Food = 1484lb[/tex]
Required
Daily consumption of each animal in a 28-day month
First, we calculate the daily consumption of all animals
[tex]All = \frac{Food}{28}[/tex]
[tex]All = \frac{1484lb}{28}[/tex]
[tex]All = 53 lb[/tex]
The consumption of each animal is then calculated as:
[tex]Each = \frac{All}{Animals}[/tex]
[tex]Each = \frac{53lb}{53}[/tex]
Each = 1 lb per animal
Kenneth did of 1/3 of his laundry on Sunday and 7/15 of his laundry on monday. what fraction of laundry did kenneth do in total?
Answers
4/5
Therefore the answer is 4/5. So Kenneth did 4/5 of his laundry in total.
Hope this helps!
It is 15. 1/3 turns into 5/15, because
3x5 = 15 & 5x1 = 5
There equaling 5/15
5/15 + 7/15 = 12/15
Both are divisible by 3
3 goes into 12, 4 times
3 goes into 15, 5 times
Giving you the final answer of 4/5
i need help w this pls
Answers
Answer and Step-by-step explanation:
The answer is the second answer choice. y = 2x + 1
By looking at the graph, we see that there is a y-intercept at (0, 1), and it has a positive slope of 2.
#teamtrees #PAW (Plant and Water)
!PLS HELP I WILL GIVE BRAINLEST!
The net of a rectangular prism is shown
What is the surface area of this prism?
Answers
The answer would be 18 square units
Step-by-step explanation:
When talking about surface area, just add up all the units that is listed in the question. - just a tip ;)
Anyways, Hope this helps!! If it's wrong, feel free to curse me out.. haha...