Answers
Answer:
The answer is "The discriminant is positive"
Step-by-step explanation:
When the discriminant is positive there is two real solutions.
When the discriminant is equal to 0, there is one real solution.
When the discriminant is negative, there is no real number solutions.
Related Questions
Identify the solid figure below.
rectangular prism
triangular prism
rectangular pyramid
triangular pyramid
Answers
Answer:
triangular prism
Step-by-step explanation:
triangular prism is a prism in the shape of a triangle at 2 opposing faces
Answer:
that is a triangular prism
Determine the horizontal asymptote for the rational function.
Answer choices:
A.) y= 1
B.) y= -5
C.) y= 1
D.) y= -1
Answers
Answer:
[tex]\text{C) } y=1[/tex]
Step-by-step explanation:
A asymptote represents a control for a function where the function will never touch. We see that as the [tex]y[/tex] approaches 1, [tex]x[/tex] approaches infinity, from either direction. However, the function never touches nor crosses the line [tex]y=1[/tex], and never will. Thus, the horizontal asymptote is located at [tex]y=1[/tex].
y=0 is correct answer but is not in the selection.
Step-by-step explanation:
SOLUTION
For these solutions, we will use \displaystyle f\left(x\right)=\frac{p\left(x\right)}{q\left(x\right)}, q\left(x\right)\ne 0f(x)=
q(x)
p(x)
,q(x)≠0.
\displaystyle g\left(x\right)=\frac{6{x}^{3}-10x}{2{x}^{3}+5{x}^{2}}g(x)=
2x
3
+5x
2
6x
3
−10x
: The degree of \displaystyle p=\text{degree of } q=3p=degree of q=3, so we can find the horizontal asymptote by taking the ratio of the leading terms. There is a horizontal asymptote at \displaystyle y=\frac{6}{2}y=
2
6
or \displaystyle y=3y=3.
\displaystyle h\left(x\right)=\frac{{x}^{2}-4x+1}{x+2}h(x)=
x+2
x
2
−4x+1
: The degree of \displaystyle p=2p=2 and degree of \displaystyle q=1q=1. Since \displaystyle p>qp>q by 1, there is a slant asymptote found at \displaystyle \frac{{x}^{2}-4x+1}{x+2}
x+2
x
2
−4x+1
.
Synthetic division of the polynomial x^2-4x+1 by x+2 in which it only contains the coefficients of each polynomial.
The quotient is \displaystyle x - 6x−6 and the remainder is 13. There is a slant asymptote at \displaystyle y=x - 6y=x−6.
\displaystyle k\left(x\right)=\frac{{x}^{2}+4x}{{x}^{3}-8}k(x)=
x
3
−8
x
2
+4x
: The degree of \displaystyle p=2\text{ }<p=2 < degree of \displaystyle q=3q=3, so there is a horizontal asymptote y = 0.
What's the probability of randomly selecting an odd number from the numbers 1-10?
Answers
Answer:
There is a 50% chance of getting a odd number.
Step-by-step explanation:
1-10 have 5 old numbers and they are 1, 3, 5, 7, and 9.
5/10 = 0.5 = 50%
5 out of 10
Help me find B asap!
Answers
Answer:
11)
complimentary angle
b = 90 - 65
b = 25º
12)
supplementary angle
b = 180 - 117
b = 63º
13)
360º in a circle
b = 360 - 244 -23
b = 93º
14)
vertical angle
b = 46º
Which statements are true? Select all that apply.
A. The amplitude of y = 2 sin(12x) is 12.
B. The period of y = 2 sin(12x) is π.
C. The amplitude of y = 2 sin(12x) is π2.
D. The period of y = 2 sin(12x) is 4π.
E. The period of y = 2 sin(12x) is 12.
F. The amplitude of y = 2 sin(12x) is 2.
Answers
I REALLY NEED HELP, PLEASE!
EXPLAINING UR ANSWER = BRAINLIEST
A prism with volume 7750 cm³ is dilated by a factor of 1/5.
The volume of the dilated prism is ___ cubic centimeters.
Answers
Answer:
1550m^3
Step-by-step explanation:
Volume of the prism= 7750m^3
Factor of dilated prism= 1/5
7750×1/5= 1550m^3
What is the value of b in the equation below?
9^-6 . 9^-2= a^b
A. -10, B. -6, C. 9, D. 16
Answers
Answer:
-10
Step-by-step explanation:
In a fruit cocktail, for every 25 ml of orange juice you need 30 ml of apple juice and 45 ml of coconut milk. What proportion of the cocktail is orange juice?
Give your answer as a fraction in its simplest form.
Answers
Answer:
1/4
Step-by-step explanation:
Add the three amounts:
25 ml + 30 ml + 45 ml = 100 ml
These three amounts make 100 ml of fruit cocktail.
The amount of orange juice is 25 ml.
The fraction of orange juice is
(25 ml)/(100 ml) = 25/100 = 1/4
Answer: 1/4
in the equation 50=2y-5y^2 what is the value of c
Answers
Answer:
No solution because there is no c variable
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
PLEASE HELPPP TEST TMR PROBLEM ISW IN PHOTO BELOW
Answers
Answer:
AB = A'B', AD = A'D', CD = C'D', CB = C'B'
Step-by-step explanation:
There is more then one way to give this problem a solution. The point of the question is to explain or provide an argument that will prove that the square ABCD is the same as A'B'C'D.
The way to prove it is by saying that the sides are equal, meaning the answer I provided above, by claiming that side AB is also equal to A'B', and so forth with all four sides.
Use the substitution method to solve the system of equations. Write your answer as an order pair. y=x-2 and y=-2x+7
Answers
i hope this helps
Answer:
The Coordinates are (3, 1)
Step-by-step explanation:
Use the substitution method to solve the system of equations.
Let y = x - 2 be Equation 1
Let y = -2x + 7 be Equation 2
We know that the coordinates are (3, 1) because we graphed the slope intercept equations in part one. Its asking to use the substitution method to prove that the coordinates (3, 1) are viable or satisfies both Equation 1 and 2.
The substitution method is nothing but substituting x and y back into the equation to prove that the coordinates are viable.
For this I'll use equation 1 first,
y = x - 2
1 = 3 - 2
So yes, the coordinates (3, 1) satisfy Equation 1
Lets check equation 2 now,
y = -2x + 7
1 = -2*3 + 7
1 = -6 + 7
This is also another equation where the coordinates (3, 1) satisfy equation 2
So this means that the coordinates (3, 1) are viable for both equations
Hope this helps!
Y-intersect of the liner function
Answers
Answer:
15
Step-by-step explanation:
The y- intercept is the value of y on the y-axis where the line crosses.
The line crosses the y- axis at 15 ← y- intercept
How do you solve for x in this using trignometric ratios
Answers
Answer:
[tex]x= 23.775.[/tex]
Step-by-step explanation:
[tex]\text{We have} \\\cos(18\textdegree) = \frac{x}{25} \\\Rightarrow x= 25\cos(18\textdegree)\\\Rightarrow x= 25 \times 0.951\\\Rightarrow x= 23.775.[/tex]
does anyone know how to solve this? asap please:((
Answers
Answer:
D)
Step-by-step explanation:
All sides are congruent because all sides are the same.
Hope this helps!
-kiniwih426
Evaluate 9t when t=5.
ITS NOT 95 already tryed that
Answers
Answer:
45
Step-by-step explanation:
9x5=45
Answer:
45
Step-by-step explanation:
9t
substitute 5 for t
9(5)
9(5) is the same as 9 * 5
9 * 5 = 45
so when t = 5 the output is 45
Two points, a and b, are graphed on the number line below. Maynard says there is not enough information to write an inequality statement comparing a and b. Which statement explains whether or not Maynard is correct? a b -10 0 10 Maynard is correct. There is no way to tell which exact numbers a and b represent, so he cannot write an inequality. Maynard is correct. There is no way to tell if a and b are positive or negative, so he cannot write an inequality Maynard is incorrect. On the number line, a is to the left of b. so a Maynard is incorrect. On the number line, a is to the left of b. So a > b.
Answers
Answer:
c
Step-by-step explanation:
The Royal Flush, a plumbing service, charges $65 for a service call (just to come to the house) plus $30 per hour to do the repair job. The Leaky Faucet, another plurbing service, charges $35 for a service call plus $45 per hour to do the repair job. How many hours would a job have to take for the bills of both repair services to be the same?
Answers
Answer:
Two hours
Step-by-step explanation:
The Royal Flush:
$65 + $30(per hour) = $95(for one hour)
$95 + $30 = $125(for two hours
The Leaky Faucet:
$35 + $45(per hour) = $80(for one hour)
$80 + $45 = $125(for two hours)
Therefore, it would take two hours for both of the repair services to have the same total.
What is the value of s in the equation 3r=10+5s , when r=10 ?
4
8
100
200
Answers
Answer:
4
Step-by-step explanation:
when r = 10
3r = 10 + 5s
3(10) = 10 + 5s
30 = 10 + 5s
30 - 10 = 10 + 5s -10
20 = 5s
20/5 = 5s/5
4 = s
Find a equation of a line that is perpendicular to y=-4x+3 and passes through the point (4,-1).
Answers
Given:
The given equation is:
[tex]y=-4x+3[/tex]
A line is perpendicular to the given line and passes through the point (4,-1).
To find:
The equation of required line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
We have,
[tex]y=-4x+3[/tex]
Here, the slope of the line is -4 and the y-intercept is 3.
Let the slope of required line be m.
We know that the product of slopes of two perpendicular lines is -1. So,
[tex]m\times (-4)=-1[/tex]
[tex]m=\dfrac{-1}{-4}[/tex]
[tex]m=\dfrac{1}{4}[/tex]
The slope of required line is [tex]m=\dfrac{1}{4}[/tex] and it passes through the point (4,-1). So, the equation of the line is:
[tex]y-(-1)=\dfrac{1}{4}(x-4)[/tex]
[tex]y+1=\dfrac{1}{4}(x)-\dfrac{4}{4}[/tex]
[tex]y=\dfrac{1}{4}x-1-1[/tex]
[tex]y=\dfrac{1}{4}x-2[/tex]
Therefore, the equation of the required line is [tex]y=\dfrac{1}{4}x-2[/tex].
12 Here are two equations.
y = 5x - 9 and x + y = 7
a Use this graph to find an
approximate solution of
the equations.
b Use algebra to find exact
solutions of the equations,
Helpppp
Answers
Answer:x=8/3 ; y=13/3
Step-by-step explanation: to find the intersection point or the solution of the graph, you need to equate these equations 1) y=5x-9 2) x+y=7 => y=7-x x equating the equations 5x-9=7-x => 6x=16 => x=8/3 ; y=13/3
Find mean, median, mode, range
Answers
Answer:
Mean= 44.2
Median=45
Mode=6
Range=50
Step-by-step explanation:
Mean= (10x1 +30x2 + 40x3 +50x2 +60x4)/12
= 530/12
=44.17
=44.2
Median= 40+50 /2
=45
Mode= 6
Range= 60-10
=50
A pizza shop has 6 kinds of cheese, and 13 different toppings. How many ways are there for a customer to select a pizza with 2 cheeses and 4 toppings?
Answers
Answer:
10725
Step-by-step explanation:
C [tex]\frac{2}{c}[/tex] [tex].[/tex] C [tex]\frac{4}{13}[/tex] = [tex]\frac{6x5}{2}[/tex] ° [tex]\frac{13x12x11x10}{4x3x2x1}[/tex]
= 10725
how many edges does a rectangular have
Answers
hope this helps
At a pet store, Rhonda paid $55 for 8 dog bowls and 6 bones. Kelly paid $32.50 for 2 dog bowls and 9 bones. Determine the cost of one dog bowl (x) and one bone (y). Write a system of linear equations that models this situation.
Answers
Answer:
8d + 6b = 55
2d + 9b = 32.50
Step-by-step explanation:
let 'd' = # dog bowls
let 'b' + # bones
Rhonda: 8d + 6b = 55
Kelly: 2d + 9b = 32.50
we can multiply Kelly's equation by -4 to eliminate the 'd' terms:
Kelly: -4(2d + 9b) = 32.5(-4)
-8d - 36b = -130
now add the above equation to Rhonda's equation:
-8d - 36b = -130
+ 8d + 6b = 55
-30b = -75
b = 2.50
now we can use either equation and substitute 2.5 for 'b' to find 'd'
2d + 9(2.5) = 32.5
2d + 22.5 = 32.5
2d = 10
d = 5
Cho alpha+ beta+ gamma = pi. Chứng minh A) sin alpha + sin beta + sin gamma = 4cos alpha/2*cos beta/2*cos gamma /2
Answers
Answer:
It is proved .
Step-by-step explanation:
[tex]\alpha +\beta +\gamma =\pi.....(1)\\\\sin\alpha + sin\beta +sin\gamma=4 cos\frac{\alpha}{2}cos\frac{\beta}{2}cos\frac{\gamma}{2}[/tex]
Take LHS
[tex]=sin\alpha + sin\beta +sin\gamma\\\\=2 sin \frac{\alpha +\beta }{2} cos\frac{\alpha -\beta }{2} + sin\gamma\\\\=2 sin\frac{180-\gamma}{2}cos \frac{\alpha - \beta}{2}+2 sin\frac{\gamma}{2}cos\frac{\gamma}{2}\\\\=2 cos\frac{\gamma}{2}cos \frac{\alpha - \beta}{2}+2 sin\frac{\gamma}{2}cos\frac{\gamma}{2}\\\\=2 cos\frac{\gamma}{2}\left [ cos \frac{\alpha - \beta}{2}+sin\frac{180-\alpha-\beta}{2}\\ \right ]\\\\=2 cos\frac{\gamma}{2}\times 2 cos\frac{\alpha}{2}cos\frac{\beta}{2}\\[/tex]
[tex]=4 cos\frac{\alpha}{2}cos\frac{\beta}{2}cos\frac{\gamma}{2}[/tex]
Hence proved.
A window cleaning service charges under $75 to clean all of the windows of a house. Write an inequality to represent the amount charged.
Answers
Answer:
C < $75.
Step-by-step explanation:
Let C be the charge of a window cleaning service, that cleans all the windows of the house.
Since it charges less than $75. this means
C < $75.
So, this is the required inequality equation.
Need help ASAP please
Answers
Answer:
17.2 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 73 = x /18
18 sin 73 =x
17.21348561 =x
To the nearest tenth
17.2 =x
Find an area of a circle if the diameter of the circle is 40 cm
Answers
Answer:
1256cm^2
Step-by-step explanation:
The area of a circle is πr^2.
The radius is half of the diameter, so it's 20 cm.
A=3.14*(20cm)^2
A=3.14*400cm^2
A=1256cm^2
PLEASE HELP ME PLS PLS!
i need help please i’m confused
Answers
Area as a product: (x^2 + 3x) • (2x + 1)
(I hope I’m correct)
HELLPPPPPPPPPPP PLEASSSEE IM BEGGING " Which linear function has a greatery-intercept than the function depicted in the graph." ***will mark brainliest*
Answers
Answer:
x y
-1 2
0 3
1 1
2 -1
Step-by-step explanation: