Answers
Answer: [tex]x =\dfrac{\fbox{-3}+i \sqrt{} \fbox{11} }{\fbox{10}}\: \: \: \: or\: \: \: \: x =\dfrac{\fbox{-3}-i\sqrt{} \fbox{11} }{\fbox{10}}[/tex]
Step-by-step explanation:
Find the discriminant.
-5x² - 3x - 1 = 0
D = b² - 4a · c
a = - 5
b = - 3
c = - 1
[tex]D=(-3)^{2} -4 \cdot (-5) \cdot (-1) = -11 < 0\\\\D=-11=- 1 \cdot 11 = i^{2} \cdot 11\\\\\sqrt{D} =\sqrt{i^{2} \cdot 11} =i\sqrt{11}\\\\ x_{1} =\dfrac{3+i\sqrt{11} }{2 \cdot (- 5)} =\dfrac{3+i\sqrt{11} }{-10}=\dfrac{-3-i\sqrt{11} }{10}\\\\x_{2} =\dfrac{3-i\sqrt{11} }{2 \cdot (- 5)} =\dfrac{3-i\sqrt{11} }{-10}=\dfrac{-3+i\sqrt{11} }{10}[/tex]
Related Questions
A chemist is conducting an experiment which involves a certain chemical reaction. He begins the experiment with 666 milliliters of the chemical, which is consumed by the reaction at a varying rate that is no more than 13 milliliters per minute. Partway through the experiment, the chemist measures the amount of chemical remaining. If there are 562 milliliters of the chemical left, what is the smallest number of minutes that could have passed?
Answers
Answer:
8 Minutes
Step-by-step explanation:
since we are trying to find how many minutes have passed we first need to find how much substance was used during the time. we can do that by subtracting the leftover substance from the amount we started with.
666-562 = 104
Now that we know how much substance was used we can then use our conversion rate (13 per minute) and find how many minutes have passed by dividing.
104 / 13 = 8
1/(x+1) + 1/a(x+1) find the lcm
Answers
Answer:
See below.
Step-by-step explanation:
1/(x + 1) consists of 1 factor, 1/(x + 1)
1/[a(x + 1)] consists of two factors, 1/a and 1/(x + 1)
The LCM is 1/[a(x + 1)]
The LCD is a(x + 1)
What is the domain of the function y=sqrt x+6-7
Answers
Answer:
[tex]x \geqslant 1[/tex]
Step-by-step explanation:
[tex] \sqrt{x + 6 - 7} = \sqrt{x - 1} \\ \\ x - 1 \geqslant 0 \\ x \geqslant 1[/tex]
what is the quotient in simpilst form? 4 1/2 ÷ 1 1/4
Answers
Answer:
Step-by-step explanation:
Convert mixed fraction to improper fraction.
[tex]4\frac{1}{2}[/tex] ÷ [tex]1\frac{1}{4} =[/tex] [tex]\frac{9}{2}[/tex] ÷ [tex]\frac{5}{4}[/tex]
In fraction division, Use KCF method
K - Keep the first fraction
C - Change the ÷ operation to * operation
F - Flip the second fraction
[tex]= \frac{9}{2}*\frac{4}{5}\\\\= \frac{9}{1}*\frac{2}{5}\\\\=\frac{18}{5}\\\\= 3\frac{3}{5}[/tex]
Charlie wants to order lunch for his friends. He'll order 5 sandwiches and a $3
kid's meal for his little brother. Charlie has $28. How much can he spend on
each sandwich if they are all the same price?
Choosqtwo answers: one for the inequality that models this situation and
one for the correct answer,
A. Inequality: 5x+3 = 28
B. Answer: $7.66 or less
C. Inequality: 3x+ 5 <28
D. Answer: $5 or less
E, Inequality: 3x + 5 5 28
F, Inequality 5x + 3 5 28
Answers
Step-by-step explanation:
some of your answer options were not copied well in here.
so, I tell you the right information and how would sure it, and you need to pick the right option on your end :
the inequality is
5x + 3 <= 28
and based on that
5x <= 25
x <= 5
he can spend $5 or less on each sandwich.
Let V(x)=−x2+2x−4 and W(x)=−x3+2x2+x+5. Find V(x)−W(x).
Answers
Answer:
Step-by-step explanation:
v(x) - W(x) = x² + 2x - 4 - [x³ + 2x² + x + 5]
= x² + 2x - 4 - x³ - 2x² -x - 5
= x² - 2x² - x³ + 2x - x -4 - 5
= -x² - x³ + x - 9
Answer:
x³ - 3x² + x - 9
Step-by-step explanation:
V(x) - W(x) =
- x² + 2x - 4 - (- x³ + 2x² + x + 5) ← distribute parenthesis by - 1
= - x² + 2x - 4 + x³ - 2x² - x - 5 ← collect like terms
= x³ - 3x² + x - 9
Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel’s savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin’s account, at the same time, is modeled by function k.
j(x) = 25 + 3x
k(x) = 15 + 2x
Which function correctly represents how much more money, in dollars, is in Joel’s account than in Kevin’s account x weeks after the start of the year?
A.
(j − k)(x) = 40 + 5x
B.
(j − k)(x) = 40 + x
C.
(j − k)(x) = 10 + 5x
D.
(j − k)(x) = 10 + x
Answers
Given:
The amount of money in Joel’s account is:
[tex]j(x)=25+3x[/tex]
The amount of money in Kevin’s account is:
[tex]k(x)=15+2x[/tex]
To find:
The function that correctly represents how much more money, in dollars, is in Joel’s account than in Kevin’s account x weeks after the start of the year.
Solution:
We need to find the difference between the function j(x) and function k(x).
[tex]j(x)-k(x)=(25+3x)-(15+2x)[/tex]
[tex](j-k)(x)=25+3x-15-2x[/tex]
[tex](j-k)(x)=(25-15)+(3x-2x)[/tex]
[tex](j-k)(x)=10+x[/tex]
Therefore, the correct option is D.
find the value if x that will make A||B
Answers
Answer:
x=11
Step-by-step explanation:
The angles given are alternate exterior angles and alternate exterior angles are equal if the lines are parallel
5x+9 = 6x-2
Subtract 5x from each side
5x+9-5x = 6x-2-5x
9 = x-2
Add 2 to each side
9+2 =x-2+2
11=x
Now,
5x + 9 ( vertically opposite angle )
Then,
5x + 9 = 6x - 2 ( corresponding angle )
x = 11
I hope you understand...
Mark me as brainliest...♡♡
What is the x-coordinate of the red point?
A. 3
B. 2
C. -2
D. -3
Answers
Question 3
Find FS If BS =16 .
Answers
Answer:
FS = 48
Step-by-step explanation:
The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, so
FB = 2 BS = 2 × 16 = 32
Then
FS = FB + BS = 32 + 16 = 48
find x, plzz helpp only have an hour to do this
Answers
Answer:
E. None of these
Step-by-step explanation:
Using the angle 43, we see that we will use Cos to find x.
This is because the sides are the adjacent and the hypotenuse
Cos (43) = 14/x
Multiply both sides by x
X (cos (43)) = 14
Then divide both sides by (cos(43))
x = 14 / cos(43)
Plug it into the calculator you get:
x = 25.22
Since this is not an answer choice, the answer is E. None of these
Which equation can be represented using the number line?
A number line going from to 1 in increments of one-eighths. Arrows go from each mark on the line to the next up to three-fourths.
Three-fourths divided by one-eighth = 6
One-eighth divided by three-fourths = 6
6 divided by three-fourths = one-eighth
6 divided by one-eighth = three-fourths
Answers
Answer:
A number line going from to 1 in increments of one-eighths. Arrows go from each mark on the line to the next up to three-fourths.
Step-by-step explanation:
Hope this helps!
Answer:
I'm pretty sure its 6 divided by 1/8=3/4 (D)
Step-by-step explanation:
IF B=
3 4 8
4 2 1
find b12, b21, b22 and b23
Answers
Answer:
since b is 348421 and we are looking for b21 it is 348421(12)
What phrase describes an unknown or changeable quantity. A. 2 times the number of pages. B. 15 years of schooling. C. 60 seconds multiplied by 5. D. 3 dollars and 76 cents.
Answers
Answer:
A. 2 times the number of pages.
Step-by-step explanation:
We do not know the number of pages in A. 2 times the number of pages.
We know the number of years of schooling the number of seconds and the number of dollars and cents
B. 15 years of schooling. C. 60 seconds multiplied by 5. D. 3 dollars and 76 cents.
What number is 33% of 264?
Answers
Answer:
87.12
Step-by-step explanation:
Answer:
12.5
Step-by-step explanation:
Im not exactly understanding this question. Can someone please help me and possibly explain this to me?
Answers
Answer:
From the graph, when x=-6, y=1
so, your answer is A) f(x)=∛(x-6)+1
OAmalOHopeO
Show all work when answering the question for full credit. Do it as best as you can.
Solve the equation: 7(2x + 3) = 12x - 13
Answers
Answer:
x = -17
Step-by-step explanation:
7(2x + 3) = 12x - 13
Distribute
7*2x +7*3 = 12x-13
14x +21 = 12x-13
Subtract 12x from each side
14x-12x+21 = 12x-12x-13
2x+21 = -13
Subtract 21 from each side
2x+21-21 = -13-21
2x = -34
Divide by 2
2x/2 = -34/2
x = -17
What are the coordinates of point A?
(8, –6)
(–6, 8)
(–5, 7)
(7, –5)
Answers
Answer:
(7, - 5 )
Step-by-step explanation:
A is positioned at (7, - 5 )
Help this is due in 10 mins
Answers
Answer:
Only A is true
for sure
....................
Instructions: Find the measure of the indicated angle to the nearest degree.
Answers
Answer:
? =30
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin ? = 25/50
Taking the inverse sin of each side
sin ^-1( sin ?) = sin^-1 ( 1/2)
? =30
Three vertices of a parallelogram are shown. If the fourth vertex, D, lies on a node of the grid, then how many parallelograms have vertices A, B, C, or D?
Answers
Answer:
3 parallelograms
Step-by-step explanation:
A farmer needs to cross the river with his fox, his chicken and a bag of corn. However, the boat can only fit the farmer and one other thing at a time. The problem is, the fox and the chicken are both hungry, so if he leaves the fox and chicken together, the fox might eat the chicken. If he leaves the chicken and corn together, the chicken might eat the corn. So how can the farmer get everyone across the river safely
Answers
first send the fox alone to the other side then send the corn, the fox wont eat the corn so that should be fine then lastly go with the farmer and the chicken, hope this helps!
Algebra 1 proportional relationships
Answers
Answer:
It always pass through the origin.(0,0)
Gloria forgot to account for two walkways. Using the work from Plan A,
subtract the two walkways to find the new perimeter. The width of each
walkways is x + ½ .
Show work here (put in simplest form)
Answers
Step-by-step explanation:
w
Please help me out . Find ? please
Answers
Answer:
Cos Θ= 21/34
Θ=cos^-1(21/36)
= 54°
OAmalOHopeO
How do you figure this out?
Answers
He estado dos días de viaje, gastandome el primer día 1/3 de dinero que tenia y el segundo 1/5 ¿Qué parte del dinero que tenia me ha sobrado?
find the cost of four score of plate at 50k each and three dozens of spoon at 20k each
Answers
= 260K
Where do you enjoy eating hamburgers? Group of answer choices This survey question is bad/biased. This survey question is good/unbiased.
Answers
Answer:
This survey question is good/unbiased.
A'B'C' is a dilation image of ABC. Which is the correct description of the dilation?
Answers
Answer:
The second option is the answer.
Step-by-step explanation:
The center of a dilation makes all the corresponding vertices coincide at one point if we draw a straight line including that pre image and new image point. All coordinates correspond about Point C. So the first two options are the viable answers.
The blue triangles right side measure is 10 while the smaller triangle right side measure is 5. This means the scale factor is
[tex]p = kx[/tex]
[tex]10 = 5x[/tex]
[tex]x = 2[/tex]
So our scale factor is 2.
The second option is the answer.
PLEASE HELP
Find the indicated side of the
triangle.
b
7.
45°
a
a =
= [?]
Answers
Answer:
a =7
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side/ adj side
tan 45 = 7/a
a tan 45 = 7
a = 7/ tan 45
a = 7 / (1)
a = 7
