Answer:
[tex]x^2 - 2x + 10[/tex], option B
Step-by-step explanation:
Complex numbers:
The most important relation that involves complex numbers is given by:
[tex]i^2 = -1[/tex]
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
In this question:
The solutions are:
[tex]x_1 = 1 - 3i, x_2 = 1 + 3i[/tex]
We have to find the polynomial. All option have [tex]a = 1[/tex]. So
[tex](x - (1 - 3i))(x - (1 + 3i)) = x^2 - x(1 + 3i) - x(1 - 3i) + (1 - 3i)(1 + 3i) = x^2 - x -3ix - x + 3ix + 1^2 - (3i^2) = x^2 - 2x + 1 - 9i^2 = x^2 - 2x + 1 - 9(-1) = x^2 - 2x + 10[/tex]
The correct answer is given by option b.
What is the correct answer
Answer:
i think 3rd
Step-by-step explanation:
Bar Model for for this problem
58+37-16
Obtuse angles are greater than 90 degrees.
True or false
Answer:
true
Step-by-step explanation:
An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees. However, A reflex angle measures more than 180 degrees but less than 360 degrees.
-6(y + 15) = -3y + 6
What value of y makes the equation true? Enter the answer in the box.
Answer:
y = −32
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8 a car, to raise more money. Tony solved the inequality 8x + 200 Greater-than-or-equal-to 500, and determined that if they wash 37 cars, they will have enough money. Is he correct? Explain
Answer:
No, he is going to have $496, which is $4 dollars less than what he wanted.
Step-by-step explanation:
I need this ASAP.
preschool has a student to teacher ratio of 5:2 which of the following ratios is equivalent to this ratio?
A 45 teachers to 18 students
B 45 students to 18 teachers
C 35 students to 10 teachers
D 10 students 7 teachers
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
First you do 5/2 to solve the ratio! That equals 2.5 btw. Then you have to selected the answer choice that is equivalent to that. So I just divided all them until I got a radio equal to 2.5! 45/18 equals 2.5 also! Therefore A (45 teachers to 18 students) was the correct choice!
If Joe had 2 apples and his friend gave him 5 more how many apples would Joe have?
Answer: Joe would have 7 apples.
Step-by-step explanation:
Joe had 2 apples, and he got 5 more. Because of this, we have to do 2 + 5.
2 + 5 = 7
Joe would have 7 apples.
What is the slope of the line connecting the points (10, 5) and (20, 25)?
Answer:
2
Step-by-step explanation:
20-10=10
25-5=20
20÷10=2
Answer:
2
Step-by-step explanation:
y-y/x-x
25-5/20-10=20/10=2
Mr. Ailey gave his class 45 minutes to read. Davida reads 27 3/4 pages in that time. At what rate, in pages per hour, did Davida read?
A 42
B 36
C 34
D 37
Answer:
37 pages per hour
Step-by-step explanation:
Given that :
Time Given to read = 45 minutes ; 45 / 60 = 0.75
Number of pages readable ad by Davida within the given time frame = 27 3/4 pages
David's reading rate in pages per hour :
Number of pages read / time taken (hrs)
[27 3/4] ÷ (45/60)
[111 / 4] ÷ (45/60)
(111 / 4 ) * (60/45)
(111 * 60) / (4 * 45)
6660 / 180
= 37 pages per hour
Given the sequence 2, 3, 4, 5, ...., where x = 0, 1, 2, 3, ...., what is the first term in the sequence?
2
3
4
5
Answer:4
Step-by-step explanation:
Answer:
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gjekk ñunvfjm hglvfhmngbk
Hi, a recipe calls for 1/2 cups of flour. How much flour should be used if only half of the recipe is to be made. Thank You.
Answer:
¼ cup of flour
Step-by-step explanation:
½ of ½ cup = ½×½ cup = ¼ cup
Answer:
1/4 cup of flour
Step-by-step explanation:
If you are doing half the recipe, and the recipe calls for 1/4 cup of flour, you divide the recipe (And portions), in two. So, half of 1/2 is 1/4,
1/8 times 4/4 pls hurry
Answer:
its .125
edit: .125 = 1/8th
Step-by-step explanation:
4/4 is 1 times .125=1/8th
the house on one side of Elm Street follows a pattern the first five houses are numbers 41, 47 53, 59 and 65 if the pattern continues which of the following could be a house number on Elm Street. A- 75, B- 77, C- 81, D- 87
Step-by-step explanation:
Notice that:
47 - 41 = 6,53 - 47 = 6,59 - 53 = 6, 65 - 59 = 6.Every house number on the side of Elm Street is 6 more than the previous one.
If we continue this pattern, we will see the following house numbers:
65 + 6 = 71,71 + 6 = 77,77 + 6 = 83,83 + 86 = 89.Out of the options given, the only one whose number is on the side of Elm Street is 77. (B)
If 24 is increased to 60. Find the percent increase.
Find the value of x to the nearest tenth
34
59°
х
Answer:
66.0is your answer.
cos59=34/x
x=34/cos59=66.01
Lydia sold pumpkin seeds at the County Fair. She used a graph to document
her sales. On the graph, what point represents the unit price?
Answer:
dang it can someone pls do this
Step-by-step explanation:
Solve for x: 1 over 3 (2x − 8) = 4. (10 points)
2
6
10
10 over 3
Answer:
10
Step-by-step explanation:
i got an 100 on my quiz
I need some help and can you please show your work? Thank you have a good day
Helppppp pleaseeee xxxx
Answer: a) one central angle is QPR
b) arc QTS is a semicircle
c) arc QR is a major arc
d) arc QTR = 235
e) arc QR = 125
Step-by-step explanation:
A central angle is an angle with its vertex as the midpoint of the circle.
A semicircle is half of a circle. Segment QS goes through the midpoint P splitting the circle in half : arc QTS and arc QRS are both semicircles.
The degree of a central angle is equal to the arc it encompasses. Central angle QPR is equal to 125, therefore arc QR is equal to 125 as well.
Given this information we can now find the remaining arc QTR. A circle is equal to 360 degrees. We know part of the circle is 125 degrees which means the remaking portion must be 235 degrees.
360 - 125 = 235
Kandice can bake 48 cakes in 6 days. How many cakes can she make in 4 days?
Answer:
32 cakes
Step-by-step explanation:
Divide 48 by 6 = 8
8 x 4 = 32
Look at the figure below:
An image of a right triangle is shown with an angle labeled y.
If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?
cos y° = 6 divided by b
cos y° = 6a
cos y° = 6b
cos y° = b divided by 6
Answer:
The third one is the answer
Building B; it is around 16.35 feet taller than building A
Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?
cos y° = 6 divided by b cos y° = 6a cos
If sin f° = 8/9 and the measure of YW is 24 units, what is the measure of YX?
24 units
Using the understanding of trigonometric ratios, cos y = b/6.
What are trigonometric ratios?The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
tan y = a/b
sin y = a/6
tan y = sin y/ cos y
cos y = sin y /tan y = (a/6)/(a/b) = b/6
Learn more about trigonometric ratios here
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What is £108.72 rounded to the nearest pound?
Answer:
£109
Step-by-step explanation:
Anything at or above 50 gets rounded up.
49 and below gets rounded down.
Answer: is, £109, rounded to the nearest pound.
What is round off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
here, given that,
£108.72 has to be rounded off.
we know,
Anything at or above 50 gets rounded up.
49 and below gets rounded down.
hence, Answer: is, £109, rounded to the nearest pound.
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The wheels on an adult size 4-wheeler has a radius of 14 inches. What is the distance the wheel will travel in one full rotation?
Distance cover in full rotation is 87.92 inches
Full rotation distance:Given that;
Radius of wheel = 14 inches
Find:
Distance cover in full rotation
Computation:
Distance cover in full rotation = Circumference of wheel
Distance cover in full rotation = 2πr
Distance cover in full rotation = 2(3.14)(14)
Distance cover in full rotation = (6.28)(14)
Distance cover in full rotation = 87.92 inches
Find out more information about 'Circumference'
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The ratio of red jellybeans to purple jellybeans is 9:5. What fraction of the jellybeans are red?
Please the first person who does it gets brainliest!
the answer is 4/5 i don't know
Angle MNO measures 112°. What is the measure of angle LMN?
34°
45°
56°
68°
Answer:
68°
Step-by-step explanation:
A complete angle is 180 degrees, if MNO is 112 degrees, then you will subtract the two numbers to find the angle measure for LMN
180 - 112 = 68
The value of the angle LMN is [tex]68^{0}[/tex]
What is rhombus?A rhombus is a special case of a parallelogram. In a rhombus, opposite sides are parallel and the opposite angles are equal. Moreover, all the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles. The rhombus is also called a diamond or rhombus diamond.
It is given that a rhombus LMNO with one angle MNO measures [tex]112^{0}[/tex].
We need to determine the value of the angle LMN.
Now, we know that the sum of the corresponding angles in the rhombus is always equals to [tex]180^{0}[/tex].
Therefore, angle MNO and angle LMN are the corresponding angles of the rhombus LMNO.
Thus,
Angle MNO + Angle LMN = [tex]180^{0}[/tex]
[tex]112^{0}+Angle LMN = 180^{0}[/tex]
Angle LMN = [tex]180^{0} -112^{0}[/tex]
Angle LMN = [tex]68^{0}[/tex]
Hence, the value of the angle LMN is [tex]68^{0}[/tex].
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Need help and explain please!!
Answer:
[tex]x=-4\text{ and } x=3[/tex]
Step-by-step explanation:
We are given the second derivative:
[tex]g''(x)=(x-3)^2(x+4)(x-6)[/tex]
And we want to find its inflection points.
To do so, we will first determine possible inflection points. These occur whenever g''(x) = 0 or is undefined.
Next, we will test values for the intervals. Inflection points occur if and only if the sign changes before and after the point.
So first, finding the zeros, we see that:
[tex]0=(x-3)^2(x+4)(x-6)\Rightarrow x=-4, 3, 6[/tex]
So, we can draw the following number-line:
<----(-4)--------------(3)----(6)---->
Now, we will test values for the intervals x < -4, -4 < x < 3, 3 < x < 6, and x > 6.
Testing for x < -4, we can use -5. So:
[tex]g^\prime^\prime(-5)=(-5-3)^2(-5+4)(-5-6)=704>0[/tex]
Since we acquired a positive result, g(x) is concave up for x < -4.
For -4 < x < 3, we can use 0. So:
[tex]g^\prime^\prime(0)=(0-3)^2(0+4)(0-6)=-216<0[/tex]
Since we acquired a negative result, g(x) is concave down for -4 < x < 3.
And since the sign changed before and after the possible inflection point at x = -4, x = -4 is indeed an inflection point.
For 3 < x < 6, we can use 4. So:
[tex]g^\prime^\prime(4)=(4-3)^2(4+4)(4-6)=-16<0[/tex]
Since we acquired a negative result, g(x) is concave down for 3 < x < 6.
Since the sign didn't change before and after the possible inflection point at x = 3 (it stayed negative both times), x = -3 is not a inflection point.
And finally, for x > 6, we can use 7. So:
[tex]g^\prime^\prime(7)=(7-3)^2(7+4)(7-6)=176>0[/tex]
So, g(x) is concave up for x > 6.
And since we changed signs before and after the inflection point at x = 6, x = 6 is indeed an inflection point.
3(x+6)-x=86
what is x?
pLS hELP
Answer:
x = 34
Step-by-step explanation:
3(x+6)-x=86
3x+18-x =86
2x+18 =86
2x =68
x=34
Compara las unidades de volumen, rodea la opción correcta y contesta. I 19
Camilo y Amara harán un mural. Cuentan con varios botes de pintura Galon
de diferentes colores, pero las etiquetas difieren en las unidades
que representan su contenido.
Unidad de
del Sister
que equiv
a 3.79 lit
2 galones
V2 galón
2.5 litros
2 litros
1 1/4 litros
V2 litro
¿Cuál de las siguientes opciones representa medio galón?
a) 18.95 litros
b) 1.895 litros
c) 1 895 litros
b09
¿Cuál equivale a dos galones?
SUSU BUDIS
b) 7.58 litros
c) 75.8 litros
a) 758 litros
Answer:
hola jugas free mi id si juegas 542233308
Evaluate 4x-6y when x=-3 y=-1
Answer:
First we substitute
4(-3) - 6(-1)
-7 -6
-13
Step-by-step explanation:
John is 12 years older than Miles. Five years ago, John was two times as old as Miles was back then. How old are John and Miles now?
Answer:
John is 29, Myles is 17.
Step-by-step explanation:
Answer:
same thing as other guy ty
Step-by-step explanation: