Answers
Hi there! In the quadratic function, there are three types of solutions.
two real rootsone real rootno real roots (complex roots)To find the solution by graph, what we have to do is to see if a graph intersects a x-axis plane or not. If it doesn't, that means a graph clearly doesn't have solutions.
As we see in the picture, the graph of function doesn't intersect x-axis and thus there are no real roots.
Answer
No rootsWe need to tell the roots of the equation of graph plotted above . The condition of roots for a quadratic equation is ,
On real root if the graph touches the X axis at one point .Two real distinct roots , if the graph cuts x axis at two points. Complex roots / Imaginary roots if it don't intersect X axis.Here we can see that the graph doesn't cuts x axis. So , the equation don't have any roots.
[tex]\large\boxed{\sf No \ Roots }[/tex]
Related Questions
12 bars of soap for $8.69
Answers
Anthony can either play 4 hours of video games or read 12 chapters of a book. What is Anthony's opportunity cost of playing one hour of video games?
Answers
Answer:
The opportunity cost of playing an hour of video games is not reading 3 chapters of a book.
Step-by-step explanation:
Given that Anthony can either play 4 hours of video games or read 12 chapters of a book, to determine what is Anthony's opportunity cost of playing one hour of video games, the following calculation must be performed:
4 = 12
1 = X
1 x 12/4 = X
12/4 = X
3 = X
Therefore, the opportunity cost of playing an hour of video games is not reading 3 chapters of a book.
One pile of cards contains the number 2 through 6 in red hearts. A second pile of cards contains the numbers 4 through 8 in black spades. Each pile of cards has been randomly shuffled. If one card from each pile is chosen at the same time, what is the probability that the sum will be less than 12?
Answers
Answer:
19/25.
Step-by-step explanation:
The total possible number of combinations of 2 cards from the 2 piles = 5*5 = 25.
Possible ways to get sum of 12 or more =
4,8 5,7 5,8 6,6 6,7 6,8 = 6 ways.
So the number of ways to get sum of < 12 = 25 - 6 = 19.
So the required probability = 19/25.
Answer:
I think the probability is 19 out of 25 = 19/25, but I am not sure so please check by step by step solution.
Step-by-step explanation: 5 29 12 38
Hearts 2, 3, 4, 5, 6
Spades 4, 5, 6, 7, 8
Find the probability that the sum of any two randomly cards is less than 12.
I count 5² = 25 possibilites
I found 5 + 5 + 4 + 3 + 2 combinaitons of cards whose sum is less than 12
sum of 19 combinations less than 12
19 /25 is the probability of the sum being less than 12
hearts.... + spade < 12
the 2 + any shade 5
the 3 + any spade 5
the 4 + the four lowest spades 4
the 5 + the three lowest spades 3
the 6 + the four lowest spades 2
someone plz help and explain how you got an answer! will give brainlest
what is the equation of the line that is parallel to 3x-y=4 and goes through the point (3,2).
Answers
Answer:
Step-by-step explanation:
In parallel lines gradient are the same so first re-arrange the given equation.
1. Ax+By=C
2. The equation is given in standard format [tex]3x-y=4[/tex]
Solve for m.
1. [tex]3x-y=4[/tex]
2. [tex]\frac{3x}{3} =\frac{4}{3}+\frac{y}{3}[/tex]
3. [tex]x=\frac{4}{3}+\frac{y}{3}[/tex]
Find the value of b using the formula for the equation of line.
[tex]y=mx+b[/tex]
Substitute the value of m into the equation.
[tex]y=(\frac{4}{3}+\frac{y}{3}) . x+b[/tex]
Substitute the value of x into the equation
[tex]y=(\frac{4}{3}+\frac{y}{3}).(3)+b[/tex]
Substitute the value of y into the equation
[tex]2=(\frac{4}{3}+\frac{2}{3}).(3)+b[/tex]
Find B
[tex]b= -4[/tex]
Now we know the value of m and b. Substitute them into y=mx+b to find the equation of the line.
[tex]y=\frac{4}{3} x+\frac{1}{3} yx-4[/tex]
-Please Mark As Brainliest
What’s the answer for this please I need it
Answers
Step-by-step explanation:
each week kyle saves $5.00
... your welcome...
If you rolled two dice, what is the probability
that you would roll a sum of 6?
Give your answer as a simplified fraction. Enter
the number that belongs in the green box.
second
first
1 2 3 4 5 6
1 1,1 1,2 1,3 1,4 1,5 1,6
2 2,1 2,2 2,3 2,4 2,5 2,6
33,1 3,2 3,3 3,4 3,5 3,6
4 4,1 4,2 4,3 4,4 4,5 4,6
5 5,1 5,2 5,3 5,4 5,5 5,6
6 6,1 6,2 6,3 6,4 6,5 6,6
Enter
Answers
Answer:
[tex]\frac{5}{36}[/tex]
Step-by-step explanation:
probability of desired outcome:
Number of desired outcomes/number of total outcomes
To find the numerator just count the number of times the condition is satisfied
I get 5
1,5
2,4
3,3
4,2
5,1
The number of total outcomes is just 6² or 36
So the final answer is just 5/36
(PLEASE HELP! NO SPAM!) On the following triangle, sin〖θ=15/17〗. What is cosθ?
Answers
Answer:
Cos(θ) = 8 / 17
Step-by-step explanation:
Cos = Adjacent / Hypotenuse
Side that is adjacent to θ = 8
hypotenuse of the triangle = 17
Cos(θ) = 8 / 17
Hope this helps!
Determine the value of x.
Answers
Answer:50
Step-by-step explanation:
14^2+48^2=2500
a^2+b^2=c^2
c^2=2500
c=50
find the sin of whixh angles equak 5/6
Answers
Answer:
arcsin(5/6) = 56.44 degrees, or 0.99 radian
Step-by-step explanation:
Write out sin x = 5/6.
Then write out the inverse function: arcsin 5/6 = x.
Use a calculator's 'arcsin' function to determine the angle x:
arcsin(5/6) = 56.44 degrees, or 0.99 radian
The point G(-5, -4) is translated 1 unit left. What are the coordinates of the resulting point, G′?
Answers
X- intercept: right/left
Y- intercepy: up/down
Since it is translated 1 unit left, you need to subtract 1 from the x-intercept:
(-5-1,-4)
Solve, and you get
(-6,-4) for your final answer.
. Let X and Y be random variables of possible percent returns (0%, 10%,
15%, and 20%) for stock A and, with the joint probability distribution given
in the Table below:
Joint Probability Distribution for Random Variables X and Y
Y Return
X Return 0 5 10 15
0 0.0625 0.0625 0.0625 0.0625
5 0.0625 0.0625 0.0625 0.0625
10 0.0625 0.0625 0.0625 0.0625
15 0.0625 0.0625 0.0625 0.0625
(a) Find the marginal probabilities.
(b) Determine if X and Y are independent.
(c) Find the means and variances of both X and Y.
Answers
(a) The marginal distribution of X is
Pr(X = x) = ∑ Pr(X = x, Y = y)
… = 0.0625 + 0.0625 + 0.0625 + 0.0625
… = 0.25
That is, the first equality follows from the law of total probability, with the sum taken over y from {0, 5, 10, 15}. Each probability Pr(X = x, Y = y) is given in the table to be 0.0625.
Similarly, the marginal distribution of Y is
Pr(Y = y) = 0.25
(b) Yes, they're independent because
Pr(X = x, Y = y) = 0.0625,
and
Pr(X = x) Pr(Y = y) = 0.25 • 0.25 = 0.0625.
(c) The mean of X is
E[X] = ∑ x Pr(X = x)
… = 0.25 ∑ x
… = 0.25 (0 + 5 + 10 + 15)
… = 7.5
and you would find the same mean for Y,
E[Y] = 7.5
The variance of X is
V[X] = E[X^2] - E[X]^2
… = (∑ x^2 Pr(X = x)) - 7.5^2
… = 0.25 (∑ x^2) - 56.25
… = 0.25 (0^2 + 5^2 + 10^2 + 15^2) - 56.25
… = 31.25
and similarly,
V[Y] = 31.25
(each sum is taken with x and y from {0, 5, 10, 15})
PLS HELP WILL GIVE BRAINLIEST
Answers
Answer:
C:Flipping a coin twelve times
Step-by-step explanation:
HOPE IT HELPS YOU!!
Help Please. Can't seem to understand how to do this. I have tried and watch over 5 videos. Can't seem to get it.
Answers
Answer:
The solutions are the following:
z=2(cos(π6)+isin(π6))=√3+12iz=2(cos(2π3)+isin(2π3))=−1+i√3z=2(cos(7π6)+isin(7π6))=−√3−12iz=2(cos(5π3)+isin(5π3))=1−i√3hope this helps!! :) --Siveth
Answer this question pls!! (Will give Brainliest)
Answers
Answer:
1. Not equivalent
2. Not equivalent
3. Equivalent
4. Equivalent
5. Equivalent
Step-by-step explanation:
I will prove the ones that are equivalent, since the ones that aren't are pretty straightforward.
2(3h + 7) = 6h + 14
3. 6h + 7 + 7 = 6h + 14
4. 3h + 3h + 14 = 6h + 14
5. (3h + 7) + (3h + 7) = 6h + 14
use the double-angle formulas for sine and cosine to verify these identities:
tan(2theta) = 2tan(theta) / 1 - tan^2 (theta)
Answers
sin
(
2
θ
)
=
2
(
3
5
)
(
−
4
5
)
=
−
24
25
Write the double-angle formula for cosine.
\displaystyle \cos \left(2\theta \right)={\cos }^{2}\theta -{\sin }^{2}\thetacos(2θ)=cos
2
θ−sin
2
θ
Again, substitute the values of the sine and cosine into the equation, and simplify.
)Answer:
In the previous section, we used addition and subtraction formulas for trigonometric functions. Now, we take another look at those same formulas. The double-angle formulas are a special case of the sum formulas, where \displaystyle \alpha =\betaα=β. Deriving the double-angle formula for sine begins with the sum formula,
\displaystyle \sin \left(\alpha +\beta \right)=\sin \alpha \cos \beta +\cos \alpha \sin \betasin(α+β)=sinαcosβ+cosαsinβ
If we let \displaystyle \alpha =\beta =\thetaα=β=θ, then we have
Deriving the double-angle for cosine gives us three options. First, starting from the sum formula, \displaystyle \cos \left(\alpha +\beta \right)=\cos \alpha \cos \beta -\sin \alpha \sin \betacos(α+β)=cosαcosβ−sinαsinβ, and letting \displaystyle \alpha =\beta =\thetaα=β=θ, we have
Using the Pythagorean properties, we can expand this double-angle formula for cosine and get two more interpretations. The first one is:
Similarly, to derive the double-angle formula for tangent, replacing \displaystyle \alpha =\beta =\thetaα=β=θ in the sum formula gives
\displaystyle \begin{array}{c}\tan \left(\alpha +\beta \right)=\frac{\tan \alpha +\tan \beta }{1-\tan \alpha \tan \beta }\\ \tan \left(\theta +\theta \right)=\frac{\tan \theta +\tan \theta }{1-\tan \theta \tan \theta }\\ \tan \left(2\theta \right)=\frac{2\tan \theta }{1-{\tan }^{2}\theta }\end{array}
tan(α+β)=
1−tanαtanβ
tanα+tanβ
tan(θ+θ)=
1−tanθtanθ
tanθ+tanθ
tan(2θ)=
1−tan
2
θ
2tanθ
A GENERAL NOTE: DOUBLE-ANGLE FORMULAS
The double-angle formulas are summarized as follows:
\displaystyle \sin \left(2\theta \right)=2\sin \theta \cos \thetasin(2θ)=2sinθcosθ
\displaystyle \tan \left(2\theta \right)=\frac{2\tan \theta }{1-{\tan }^{2}\theta }tan(2θ)=
1−tan
2
θ
2tanθ
HOW TO: GIVEN THE TANGENT OF AN ANGLE AND THE QUADRANT IN WHICH IT IS LOCATED, USE THE DOUBLE-ANGLE FORMULAS TO FIND THE EXACT VALUE.
Draw a triangle to reflect the given information.
Determine the correct double-angle formula.
Substitute values into the formula based on the triangle.
Simplify.
EXAMPLE 1: USING A DOUBLE-ANGLE FORMULA TO FIND THE EXACT VALUE INVOLVING TANGENT
Given that
and \displaystyle \thetaθ is in quadrant II, find the following:
\displaystyle \sin \left(2\theta \right)sin(2θ)
\displaystyle \cos \left(2\theta \right)cos(2θ)
\displaystyle \tan \left(2\theta \right)tan(2θ)
SOLUTION
If we draw a triangle to reflect the information given, we can find the values needed to solve the problems on the image. We are given \displaystyle \tan \theta =-\frac{3}{4}tanθ=−
4
3
, such that \displaystyle \thetaθ is in quadrant II. The tangent of an angle is equal to the opposite side over the adjacent side, and because \displaystyle \thetaθ is in the second quadrant, the adjacent side is on the x-axis and is negative. Use the Pythagorean Theorem to find the length of the hypotenuse:
Now we can draw a triangle similar to the one shown in Figure 2.
Diagram of a triangle in the x,y-plane. The vertices are at the origin, (-4,0), and (-4,3). The angle at the origin is theta. The angle formed by the side (-4,3) to (-4,0) forms a right angle with the x axis. The hypotenuse across from the right angle is length 5.
Figure 2
Let’s begin by writing the double-angle formula for sine.
\displaystyle \sin \left(2\theta \right)=2\sin \theta \cos \thetasin(2θ)=2sinθcosθ
We see that we to need to find \displaystyle \sin \thetasinθ and \displaystyle \cos \thetacosθ. Based on Figure 2, we see that the hypotenuse equals 5, so \displaystyle \sin \theta =\frac{3}{5}sinθ=
. Substitute these values into the equation, and simplify.
Thus,
Solution
EXAMPLE 2: USING THE DOUBLE-ANGLE FORMULA FOR COSINE WITHOUT EXACT VALUES
Use the double-angle formula for cosine to write \displaystyle \cos \left(6x\right)cos(6x) in terms of \displaystyle \cos \left(3x\right)cos(3x).
SOLUTION
c
Analysis of the Solution
This example illustrates that we can use the double-angle formula without having exact values. It emphasizes that the pattern is what we need to remember and that identities are true for all values in the domain of the trigonometric function.
Using Double-Angle Formulas to Verify Identities
Establishing identities using the double-angle formulas is performed using the same steps we used to derive the sum and difference formulas. Choose the more complicated side of the equation and rewrite it until it matches the other side.
EXAMPLE 3: USING THE DOUBLE-ANGLE FORMULAS TO ESTABLISH AN IDENTITY
Establish the following identity using double-angle formulas:
\displaystyle 1+\sin \left(2\theta \right)={\left(\sin \theta +\cos \theta \right)}^{2}1+sin(2θ)=(sinθ+cosθ)
2
θ
)
Step-by-step explanation:
Can I please get some help on this pretty please
Answers
Answer:
Score with 6 questions wrong :
= 40 - (6×2)
= 40 - 12
= 28
Score with x questions wrong :
= 40 - (x×2)
= 40 - 2x
NEED HELP DUE IN 2 MINUTES!!!!
A cube has a volume of 64 cubic feet. What is the length of one side of the cube in feet?
Answers
Answer:
4 feetStep-by-step explanation:
s³ = 64
Take the cube root of both sides
s = 4
10. Last year, a state university received 3.560 applications from boys. Of
those applications, 35% were from boys who lived in other states. Part A
How many applications did the university receive from boys who lived in
other states? Show how you found the answer for full credit
Answers
Answer:
1.246
Step-by-step explanation:
First, you divide 3.560 by 100%, which gives you 3.56. Now since you have the number of applications received each, you now multiply 3.56 by 35%, or 0.35, which then gives you 1.246.
A train can accommodate at most 80 passengers, economy class (x) and firstclass (y) passengers. To avoid making a loss the train must carry at least ten
economy class passengers and at least twenty first class passengers. Due to the
number of complementary items the first-class passengers receive, the number
of first-class passengers should be at most three times the number of economy
class passengers.
First class tickets cost N$5000 while economy class tickets cost N$3000.
i) State/ describe what the variables x and y represent.
ii) State the objective function.
iii) List the constraints.
Answers
Answer:
Step-by-step explanation:
1) (x) is economy class and (y) is first class
2) The objective function is to avoid making a loss in prophet making the train have the avalibility for 10 economy class passengers and at least 20 first class passengers.
3) The constraints are that there are only 10 spots for economy class and at least 20 for first-class passengers.
The cost price of article is Rs400 and selling price is Rs500 . Find profit?
Answers
Answer:
100
Step-by-step explanation:
Rs500-Rs400=Rs100.
Which of the following represents a coefficient from the expression given?
Answers
Answer:
The 5 in "5x"
Step-by-step explanation:
A coefficient is the number attached to a variable.
Hope this helped.
Need help fast will give brainiest
Answers
Answer:
[tex]\text{1. }\triangle IJH\cong \triangle LKM, \\\text{2. }\triangle RST\cong \triangle YXZ, \\\text{3a. Reflexive Property}, \\\text{3b. ASA (Angle-Side-Angle)}[/tex]
Step-by-step explanation:
ASA (Angle-Side-Angle) is a proof of congruence that states if two triangles share two angles and the side between those two angles, the triangles are congruent. In problems 1 and 2, the following demonstrate this:
[tex]\text{1. }\triangle IJH\cong \triangle LKM, \\\text{2. }\triangle RST\cong \triangle YXZ[/tex]
In problem 3, [tex]\overline{IJ}\cong \overline{IJ}[/tex] is known in geometry as the Reflexive Property. Because of this, the two triangles in the diagram for problem 3 now share two angles and the side between them, thus they are congruent from ASA (Angle-Side-Angle).
Can someone please please help me with my math , english and health questions. im failing in all these classes and extremely need help. Some already have one answer but it isnt correct or someone just wrote down stuff just to get points. ( Will Mark Brainliest for each correct answer).
Answers
Answer:
okie we will try our best
evaluate without using a calculator sin(90-x)cos(180-x)+tanx.cos(-x)sin(180+x)
Answers
1000000
Step-by-step explanation:
son mil ovhomil
The diagram shows the locations of Gabe’s house, a library, and a gymnasium. Each unit on the grid represents 1 kilometer.
Part A: What is the distance between Gabe’s house and the library?
A. 4 kilometers
B. 5 kilometers
C. 3 kilometers
D. 6 kilometers
Answers
The distance between gab's house and library will be 4km
What is Distance?
Distance is a numerical measurement of how far apart object or point are or it may also refer as the physical length.
From graph we can see that Gabe's house is 3 km on positive x axis in respect to the origin
Whereas library is 1 km apart from origin on negative x axis
Since we are calculating distance , we simply add both the above mentioned distances irrespective of their direction since distance is a scaler quantity.
Distance between Gab's house and library will be :
D = |3| + |-1|
D = 3+1 = 4 km option A)
Learn more about distance
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you have a list of 600 random, normally distributed numbers with a mean of 10 and a standard deviation of 2.Which of these statements is true?
Answers
You have a list of 600 random, normally distributed numbers with a mean of 10 and a standard deviation of 2. Which of th... https://brainly.com/question/11505120
Answer:
c
Step-by-step explanation:
right on plato
Brian is building a fence around his rectangular garden which is 10 ft x 15 ft. If he leave a 3 ft gap for an entrance he will need _ ft of fencing.
Answers
Answer:
147
Step-by-step explanation: because first you have to time 10 x 15 then you have to subtract 3 from 150 and you will get 147 so that's why I thinks its 147
Please guys help me.
Answers
Answer:
Option B
Step-by-step explanation:
For the polygons to be similar, the dilation ratio must be uniform for all sides.
>> In option A, each side of the bigger hexagon is 8cm while each side of the smaller one is 5 cm. Thus, the dilation ratio is uniform at 8:5. Thus, they are similar polygons.
>> In option B, the longer side of the big rectangle is 12 inches and reduces to 10 inches. Which means a ratio of 6:5 whereas, the shorter side reduces from 7 to 6 which is a ratio 7:6. Since both ratios are different, then it means that both rectangles are not similar.
>> In option C, the hypotenuse of the big triangle is 15 m and reduces to 10 m in the small triangle. This gives a ratio of 3:2.
The perpendicular side of the big triangle is 9m which reduces to 6 m in the small one. This is a ratio of 3:2.
The horizontal side of the big triangle 12m which reduces to 8m in the small triangle. This is a ratio of 3:2.
Since all the ratios are same, then they are similar triangles.
>> In option D, each side of the bigger polygon is 7ft while each side of the smaller one is 4ft. Thus, the dilation ratio is uniform at 7:4. Thus, they are similar polygons.
Classify each number below as a rational number or an irrational number.
rational irrational
Answers
Irrational
Rational
Rational
Irrational
-√25 rational
[tex]\frac{14}{19}[/tex] irrational
9π irrational
2√2 irrational
87.39... rational
A sphere has a radius of 9 in, which means its volume is 972π in3. The sphere is dilated by 2⁄3. What is the volume of the new sphere?
Answers
Answer:
08-Oct-2009 — If a spherical balloon has a volume of 972 pi cubic centimeters, what is ... is 4.pi.r^2 (its area remember not volume) as 4/3.pi.r^3=972pi r=9 ... and it is good to know the squares of the next 10 numbers.
Answer:
I have this same question on my math test.
Since the radius is 9, the diameter is 18.
The shape is being dilated by 2/3, so the new radius is 6.
Volume formula: V = 4/3πr^3
So now we plug in the values.
V = 4/3 x π x (6)^3
V = 4/3 x π x 216
V = 288π
If the answers do not have the pi symbol present, then it has been multiplied into the answer.
288 x 3.14 = 904.32
The new volume of the sphere is 904.32 in^3