Answer:
The roots are [tex]x = (\frac{3}{2}, -2)[/tex], which is given by option C.
Step-by-step explanation:
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{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
In this question, we have that:
[tex]2x^2 + x - 6 = 0[/tex]
Which is a quadratic equation with [tex]a = 2, b = 1, c = -6[/tex]. So
[tex]\Delta = 1^{2} - 4*2(-6) = 1 + 48 = 49[/tex]
[tex]x_{1} = \frac{-1 + \sqrt{49}}{2*2} = \frac{6}{4} = \frac{3}{2}[/tex]
[tex]x_{2} = \frac{-1 - \sqrt{49}}{2*2} = \frac{-8}{4} = -2[/tex]
So the roots are [tex]x = (\frac{3}{2}, -2)[/tex], which is given by option C.
May someone help me pls. I’m not to good at geometry
Answer:it’s A
Step-by-step explanation: it is tangent because it is adjacent side and opposite. the equation is 50°tan90
Answer:
A: 50°tan 90
Step-by-step explanation:
It is tangent because it is adjacent side and opposite the equation is 50°tan 90
Dwayne plays five games of rock-paper-scissors. In order to seem unpredictable, he never chooses the same move (rock, paper, or scissors) twice in a row. How many different sequences of moves can Dwayne go through?
Answer:
48
Step-by-step explanation:
First, in this problem, you would assume that there are five numbers to multiply since Dwayne played 5 games.
In the first blank, he could choose any move, and there are three, rock, paper, and scissors. In the first blank, you would put 3. Then, since you already picked one, you can't repeat it, so you would end up with 2 for the second blank. Continuing with the next blanks, the third, fourth, and fifth spaces would be 2 choices because you cannot have the one choice you chose previously. In the end, the blanks would look somewhat like this:
3 2 2 2 2
And you would multiply all the numbers.
3 x 2 x 2 x 2 x 2
= 6 x 8
= 48
.11 A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, and 1.03 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximately normal distribution.
Answer:
The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.
Step-by-step explanation:
Sample mean:
Sum of all values divided by the number of values. So
[tex]M = \frac{1.01+0.97+1.03+1.04+0.99+0.98+0.99+1.01+1.03}{9} = 1[/tex]
Sample standard deviation:
Square root of the sum of the differences between each value and the mean, divided by the 1 less than the sample size. So
[tex]s = \sqrt{\frac{(1.01-1)^2+(0.97-1)^2+(1.03-1)^2+(1.04-1)^2+(0.99-1)^2+(0.98-1)^2+(0.99-1)^2+(1.01-1)^2+(1.03-1)^2}{8}} = 0.0657[/tex]
Confidence interval:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 9 - 1 = 8
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.355
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.355\frac{0.0657}{\sqrt{9}} = 0.07[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1 - 0.07 = 0.93
The upper end of the interval is the sample mean added to M. So it is 1 + 0.07 = 1.07
The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.
which one is a polynomial ? it’s not B!!
A card is drawn from a deck of 52 cards. Find the probability of drawing a black card.
14) Find the probability of drawing a red card.
15) Find the probability of drawing a red or black.
16) Find the probability of drawing an ace.
17) Find the probability of drawing either a jack or queen or king.
Answer: See below
Step-by-step explanation:
14) 26/52 of the cards are red, 1/2
15) All of the cards are red or black, 1/1
16) 4/52 of the cards are aces, 1/13
17) 12/52 of the cards are J/Q/K, 3/13
Convert the fractions to whatever unit is needed.
Answer:
14) 26/52
15) 52/52
16) 4/52
17) 24/52
Step-by-step explanation:
Answer ASAP for BRAINLIEST (NO LINKS OR I REPORT)
Answer:
radius = 3 feet
Step-by-step explanation:
V = 1/3πr²h
15π = 1/3πr²·5
you can divide each side by 5π to get:
3 = r²/3
r² = 9
r = [tex]\sqrt{9}[/tex] which is 3
Answer:
3
Step-by-step explanation:
((r^2)h[tex]\pi[/tex] )/3=volume of a cone
[tex]15\pi =((r^2)h\pi )/3[/tex]
they say that the height is 5 so insert 5 for h
[tex]15\pi =\frac{r^2(5)\pi } {3}[/tex]
solve for r
multiply both sides by 3
[tex]45\pi =r^25\pi[/tex]
divide both sides by 5
[tex]9\pi =r^2\pi[/tex]
[tex]r=3[/tex]
Hope that helps :)
Divide. (3x⁴ - 3x³ - 6x -10) ÷ (x - 2)
Please help I can't find a proper answer
angle measure of 36 and 57?
Answer: 7767788877787887+-77-7
In a set of three lines, a pair of parallel lines is intersected by a transversal. The intersection forms eight special angles. Two of the special angles, A and B, are corresponding angles.
For the set of parallel lines intersected by a transversal, A=4x and B=-5(x-18).
Part A: Write an equation to represent the corresponding relationship betweenA andB.
Part B: Use the equation to find the measures of A and B.
Answer:
Part A: 4x = -5(x-18)
Part B: A and B both = 40 degrees
Step-by-step explanation:
Ok, corresponding angles are in the same position on the two parallel lines cut by the transversal. And they are equal in measure. So, upper right = upper right.
So A = B
4x = -5(x -18)
4x = -5x + 90
9x = 90
x = 10
Angle A = 4x = 40 degrees, which means angle B is also 40, but let's show the work:
Angle B = -5(x - 18) = -50 + 90 = 40
11
5. What is the volume of a cuboid that is 8cm long, 4cm
wide and 3cm high.
Answer:
Volume = 96 cm³Step-by-step explanation:
Length (L) = 8cm
Breadth (B) = 4cm
Height (H) = 3cm
........................................
Volume = L × B × H
= 8 × 4 × 3
= 96cm³
I GIVE BRAINLIEST! LOOK AT THE IMAGE BELOW.
vertex of y = x³ + x² - 4x - 4
Answer:
(-2,0)
Step-by-step explanation:
plzz help im in class RIGHT NOW
Answer:
i have no answer
Step-by-step explanation:
Answer:
You're a really fungi
Step-by-step explanation:
PLS HELP FAST NO LINKS
Use the trapezoid to answer the question.
Choose all the attributes that describe the trapezoid.
A. It has four acute angles,
B. It has two obtuse angles.
C. It has no perpendicular sides.
D. It has one pair of parallel sides.
E. It has two pairs of parallel sides.
Answer:
D and B would be your answer
jannie recieves 150 pocket money per month in the new year his mother decided to increase his pocket money in the ratio 6 is to 5 calculate jannies adjusted monthly pocket money
Answer:
Answer and steps are in picture.
Please help this is important
Answer:
x = 18.8
Step-by-step explanation:
(6x + 19) is in linear pair vertically so,
it's value will be 180 - 6x + 19. ......( angles in linear pair are supplementary)
now, 180 - 6x + 19 is corresponding with (4x + 11)
therefore, 4x + 11 = 180 - 6x + 19
4x + 6x = 180 + 19 - 11
10 x. = 180 + 8
10 x. = 188
x = 188/10
x. = 18.8
Cross - check:-
4x + 11 = 180 - 6x + 19
4 * 18.8 + 11 = 180 - ( 6 * 18.8 +19)
86.2. = 86.2
therefore, x = 18.8 is the correct answer
WILL GIVE BRAINLIEST!!
If N is the plane of symmetry, click on the graphic to find the figure that is symmetrical with respect to plane N.
Answer:
thrid one looks right
Step-by-step explanation:
Answer:
The 4th cone
Step-by-step explanation:
Hello, the answer to your question is the 4th cone; the cone with its bottom half facing skyward. If you are familiar with plane symmetry, this question is fairly simple. Since the topmost cone has its bottom half facing downward, it would only be logical to choose the cone that forms mirror halves (superimpose) when paired.
Hope this helps.
Just in case my explanation was too confusing, I'll attach the image of the answer here.
Feel free to give me brainliest.
Please please help me please please help please
Branliest to correct answer explain how you got your answer please
Helppp pleaseeeeeeweeeeeeee
Answer:
55°
Step-by-step explanation:
The angle is part of a 90° angle, so you do 90°-35° to get 55°.
Give branliest please. :)
Answer:
90 degrees - 35 degrees = x degrees, this will give you 55 degrees
Question below in photo!! Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇
Answer (chose the right one):
-100°
-90°
-50°
-30°
Answer:
50 degrees
Step-by-step explanation:
It is opposite of angle CGD so therefore it is congruent to CGD which makes it 50 degrees
If f varies inversely as g, find f when g= -6.
F= 4 when g= -6
F=
Step-by-step explanation:
f=gf=1/g
4=1/-6
=-24
find f
f=1/-6
2. You have 15 nickels and dimes. The coins are worth $1.20. How many of each coin do you have?
Answer:
9 dimes and 6 nickles
Step-by-step explanation:
What is the range of possible sizes for side 3.2 5.5 x?
Answer:
the range is :
10 , 74 , 78 , 102
3 , 4 , 4 , 5 , 17
1.2, 1.2 , 3.2 , 3.5 , 3.6 , 6.5 , 8.2 , 9.2
Step-by-step explanation:
answer the question!!!!!!!!!!!!!!
Answer:
Im not sure im sorry if i got it wrong but my guess is 1234 :/
Step-by-step explanation:
Answer:
4132
Step-by-step explanation:
1).4,132 (four thousand one hundred thirty-two) is an even four-digits composite number
2). 4 + 1 + 3 + 2 = 10
3). each number is greater than 0
4). 4+1= 5 3+2= 5
5). 4 is the gretes number in 4132
Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.
-3, 9, -27, 81
Answer:
-243, 729
Step-by-step explanation:
pattern is to multiply by -3 to get next number
A stream is flowing down a slope into a larger river. The elevation of the head of the stream is 2,200 feet above sea level. The elevation of the mouth of the stream is 1,000 feet. The horizontal distance along the stream between those two points is 63,360 feet. What is the gradient of the slope the stream is flowing over in ft/mi
Answer:
[tex]100\ \text{ft/mi}[/tex]
Step-by-step explanation:
Elevation of the head of the stream is 2,200 feet above sea level
Elevation of the mouth of the stream is 1,000 feet
Rise = [tex]2200-1000=1200\ \text{ft}[/tex]
Distance between the two points = [tex]63360\ \text{ft}=\dfrac{63360}{5280}=12\ \text{mi}[/tex] = Run
Gradient is given by
[tex]\dfrac{\text{Rise}}{\text{Run}}=\dfrac{1200}{12}\\ =100\ \text{ft/mi}[/tex]
The gradient of the slope the stream is flowing over is [tex]100\ \text{ft/mi}[/tex].
please explain why. In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18 compete in the tango competition, and 6 compete in both the fox-trot and tango competitions. How many dancers compete in the fox-trot or tango competitions?
Answer: 34 of them do
Step-by-step explanation: It says that 22 of them compete in the fox-trot and then it says 18 compete in the tango and then at the end it says that 6 compete in both. Based on what that said I can confirm that it's 36 because the question they want us to answer is only the ones who do fox-trot or tango not both
Hope this helps :)
Answer:
22+18-6=34
Step-by-step explanation:
Let's call F the set of dancers who dance fox-trot (not necessarily just that, they may also dance something else, what's important is that, amongst other things, they also dance fox-trot), and T the set of dancers who dance tango.
We know that F has 22 elements, T has 18, and the intersection of sets F and T (e. g. those who dance both tango and fox trot) has 6 ones.
Now, let's take a further look at how those sets are made up.
Let's take set F, for example. In it, there is some number of dancers who dance only fox trot, and some others who dance both fox trot and tango.
Similarly, set T is made up of those who dance only tango and those who dance both fix trot and tango.
Therefore, if we were to add those sets together, we would get the number of those who only dance tango, plus the number of those who only dance fox trot, plus two times the number of those who dance both.
We can make up for that, and get the desired result, by subtracting the union of sets F and T from their sum.
Hope this was a clear explanation :)
Which graph represents y as a function of x?
Answer:
D
Step-by-step explanation:
Has only one point on the x- axis.
Please help ill mark brainliest if correct
I attached a photo of the problem
Answer:
12.8
Step-by-step explanation:
imagine a right triangle in the middle,
base: 16 ÷ 2 = 8 cm, height: 10 cm, side: s
10² + 8² = s²
=> s = √(10² + 8²)
=> s = √(100 + 64)
=> s = √164
=> s ≈ 12.8