Answer:
b + 24
Step-by-step explanation:
b and 24 would be b + 24
For what value of k does the equation (2k+1)x^2+2x=10x-6 have two real and equal roots?
Answer:
[tex]\displaystyle k = \frac{5}{6}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle (2k+1)x^2 + 2x = 10x - 6[/tex]
And we want to find the value of k such that the equation has two real and equivalent roots.
Since the equation is a quadartic, we can find its discriminant (symbolized by Δ). Recall that:
If Δ < 0, we have no real roots (two complex roots). If Δ > 0, we have two real roots. And if Δ = 0, we have one real root, or two equivalent ones.First, rewrite our equation:
[tex](2k+1)x^2 -8x + 6 =0[/tex]
The discriminant is given by:
[tex]\displaystyle \Delta = b^2 -4ac[/tex]
In this case, b = -8, a = (2k + 1), and c = 6.
Therefore, the discriminant is given by:
[tex]\displaystyle \Delta = (-8)^2 - 4(2k+1)(6)[/tex]
For it to have two equal roots, the discriminant must be zero. Hence:
[tex]\displaystyle 0 = (-8)^2 - 4(2k+1)(6)[/tex]
Solve for k:
[tex]\displaystyle \begin{aligned} \displaystyle 0 &= (-8)^2 - 4(2k+1)(6) \\ 0 &= 64 - 48k - 24 \\ 0 &= 40 - 48k \\ -40 &= -48k \\ \\ k &= \frac{5}{6} \end{aligned}[/tex]
Hence, the value of k is 5/6.
10 = z + 6 (show work)
Answer:
4
Step-by-step explanation:
10=z+6
or, z+6=10
or, z=10-6
or,z=4
May this help you
Please hurry I will mark you brainliest
Answer:
the answer is 120
Step-by-step explanation:
a trapezoid should measure 360 when all sides are added together
180-125=55
65+55=120
360-120=240
240÷2=120
ASAP!! can i get some help on this question please, and can i get a step by step explanation, thank you.
Answer:
2xy^2
Step-by-step explanation:
8/4=2
x^3/x^2=x
y^5/y^3=y^2
Answer:
2xy^2
Step-by-step explanation:
First, 8/4 is 2.
2x^3y^5 / 4x^2y^3
Then, we can bring the x^2 up. It becomes the -x^2. Combined with the x^3, we have x. Finally, we can bring the y^3 up, where it becomes -y^3. Combined with the y^5, we get y^2.
Our final answer is 2xy^2.
f(x)=square root 2x and g(x)=square root 50x find (f/g)(x)
Answer:
1/5
Step-by-step explanation:
(f/g)(x) = f(x)/g(x) = sqrt(2x)/sqrt(50x) = 1/5
Graph the inequality on the axes below.
-5x + 4y > -24
Step-by-step explanation:
-5x + 4y > -24
Plot and draw a graph that's it
Answer this question, if anyone just posts an answer that is not relevant to this question will be reported.
Answer:
A is the correct answer
Step-by-step explanation:
I have looked at your bar graph.
What about B?
B is wrong because the first bar doesn't reach 5.8 billion
And C & D are wrong for the same reason. I hope this helps you:)
Note:
My answer WAS relevant to your question.
Answer:
tysm have a great day! Go rose!
Step-by-step explanation:
Which of the following equations has roots r = -1, x = -2, and x = 3i?
Find the vertices and foxi of the hyperbola y^2/25 - x^2/144=1
Answer:
Step-by-step explanation:
[tex]\dfrac{y^2}{b^2} -\dfrac{x^2}{a^2} =1\\a=12\\b=5\\f^2=a^2+b^2=13^2\\Vertices:(0,5), (0,-5)\\Foci: (0,13),(0,-13)\\[/tex]
SIN TRIG PLEASE HELP 50 POINTS
If sin y° = s/8 and tan y° = s/t what is the value of sec y°
a. sec y° = 8s
b. sec y° = 8t
c. sec y° = 8/t
d. sec y° = t/8
Answer:
C
Step-by-step explanation:
We are given that:
[tex]\displaystyle \sin y^\circ = \frac{s}{8}\text{ and } \tan y^\circ = \frac{s}{t}[/tex]
And we want to find the value of:
[tex]\displaystyle \sec y^\circ[/tex]
Recall that tan(θ) = sin(θ) / cos(θ). Since sec(θ) = 1 / cos(θ), tan(θ) = sin(θ)sec(θ). Substitute:
[tex]\displaystyle \sin y^\circ \sec y^\circ = \frac{s}{t}[/tex]
Substitute:
[tex]\displaystyle \frac{s}{8}\sec y^\circ =\frac{s}{t}[/tex]
Solve for secant:
[tex]\displaystyle \sec y^\circ = \frac{8}{t}[/tex]
Hence, our answer is C.
Answer:
c. sec y° = 8/t
Step-by-step explanation:
I took the test
Please help me please and thank you
Answer:
3x² + 2x - 9 = 0
Step-by-step explanation:
Standard form of a quadratic: ax² + bx + c
Move all terms to one side of the equation:
[tex]3x^2-9=-2x\\3x^2-9+2x=-2x+2x\\3x^2+2x-9=0[/tex]
The table shows the relationship between the number of white shells and the number of pink beads that Aliz uses to decorate 6 different
jewelry box. Which of the following equations relates the number of pink beads, p, to the number of white shells, w? �� p = 25w �� w = 52p �� 5w = 2p �� p = 52w
Answer:
p = 5/2w
Step-by-step explanation:
We want the ratio of pink beads to white shells
p: w
5: 2
Cross multiply
2p = 5w
Divide by 2
p = 5/2w
You will be marked brainliest if you tell me how step by step.
A. 92x + 280 < 1,108
B. 280x + 92 > 1,108
C. 280x + 92 < 1,108
D. 92x + 280 > 1,108
Answer:
whats the question
Step-by-step explanation:
for me to help
Graph the line that has a slope of -7/4 and includes the point (0,10).
Answer:
y=-7/4x +10
Step-by-step explanation:
that the graph, you can plug the equation in desmos,
hope it helps! :)
Jeremy is buying a new car. The total cost, including tax, is $18275. If the tax rate is 7.5% , what is the sticker price of the car?
Answer:
$17000
Step-by-step explanation:
Given
[tex]Total = 18275[/tex]
[tex]Tax = 7.5\%[/tex]
Required
The original price
This is calculated using:
[tex]Price(1 + Tax) = Total[/tex]
Make Price the subject
[tex]Price = \frac{Total}{(1 + Tax)}[/tex]
So, we have:
[tex]Price = \frac{18275}{(1 + 7.5\%)}[/tex]
[tex]Price = \frac{18275}{1.075}[/tex]
[tex]Price = 17000[/tex]
What is the domain of the relation (8, -2), (4,-2), (3, 2), (-5, -3)?
A. {8,4,3, -5}
B. {-8, -4, 3, 5)
C. 2-5, -3, 4, 8}
D. 2-3, -2, 2}
Answer:
A. {8, 4, 3, -5}
Step-by-step explanation:
The domain is the list of x values in a given function. Therefore, the domain is {8, 4, 3, -5}.
Select the expression that represents the following statement: find the sum of 6 and 14 and divide by 4.
a (6 + 14) ÷ 4
b 14 ÷ 4 + 6
c 4 x 4 – 6
d 14 x 6 ÷ 4
Answer:
A
Step-by-step explanation:
which of the following represents 10 on a number line
Answer:
don't understand....................
How many solutions exist for the mixed-degree system graphed below?
Answer:
The answer is one.
a grocer mixes 20.25 kg of green tea with 35.10 kg of ordinary tea and repacks all tea in 45 packets of equal weight. how much does each packet weigh?
Answer:
1.23 kg
Step-by-step explanation:
(20.25 kg + 35.10 kg) : 45 = 1.23 kg
cho tam giác ABC vuông tại A, đường cao AH, cho biết AH= 2cm, BC= 5cm. Tính các cạnh AB, AC, CH, BH và tính diện tích tam giác ABC
Answer:
Step-by-step explanation:
SABC= 1/2 AH.BC = 1/2 .2.5 = 5
Ta co: HC = 5 – BH
Mat khac: AH2 = HB.HC 22 = HB(5-HB) HB = 4 hoac HB = 1
Ta co cong thuc: AB2 = HB.BC
AC2 = HC.BC
Voi HB = 4 => HC = 1. Vay ta co: AB = 2√5 va AC = √5
Voi HB = 1 => HC = 4. Vay ta co: AB = √5 va AC = 2√5
Type the equation for the graph
below.
Answer:
Step-by-step explanation:
This is a "regular" sin graph that's "taller" than the original. The amplitude is 3; other than that, its period is the same and it has not shifted to the right or left, so the equation, judging from the graph, is
[tex]y=3sin(x)[/tex]
ILL GIVE POINTS!! PLS HELP !!!
Which set of polar coordinates describes the same location as the
rectangular coordinates (1. - 1)?
A. (sqrt2,315°)
B. (-1,135°) C. (sqrt2,225°)
D. (1,45°)
Answer:
The polar coordinates appear in the form (r, θ), where r is the the radius from the center and θ is the angle. To get the radius, do the following.
[tex]r = \sqrt{x^2 + y^2} = \sqrt{1^2 + (-1)^2} = \sqrt{2}\\[/tex]
You can get the angle visually by drawing a point (1, -1) on a graph and seeing that it is 45 degrees from the top right quadrant (you can tell its 45 because both x and y have the same magnitude). Since there are 360 degrees, 360 - 45 = 315.
If you would like to find it mathematically, this is the way to do it
[tex]\theta = atan(y/x) = -45[/tex]
Notice that -45 degrees is just 360 - 45 = 315
Your answer would be
[tex](\sqrt{2}, 315)[/tex]
The following ordered pairs represent a function: {(-3, 1), (1, -2), (3, 0), (4, 5)}.
True or False
Answer:
false
Step-by-step explanation:
this is because there is no function of an unknown in this set
4. 19 feet to inches
18
The length of a rectangle is twice as long as the width of the rectangle.
The area of the rectangle is 32 cm.
Draw the rectangle on the centimetre grid.
.
4
54
B2
%
I did it wrong can someone help me
Answer:
Width = 4 cm
Length = 8 cm
Step-by-step explanation:
Hi there!
Let [tex]l[/tex] be equal to the length of the rectangle.
Let [tex]w[/tex] be equal to the width of the rectangle.
1) Determine equations to find the length and width
We're given that the length is two times the length of the width:
[tex]l=2w[/tex]
We're also given that the area of the rectangle is 32 cm². Recall that the area of a rectangle is [tex]A=lw[/tex]:
[tex]A=lw\\32=lw[/tex]
Now, we have our two equations:
[tex]\displaystyle \left \{ {{l=2w} \atop {32=lw}} \right.[/tex]
2) Solve for the width using substitution
[tex]\displaystyle \left \{ {{l=2w} \atop {32=lw}} \right.[/tex]
Replace [tex]l[/tex] in the second equation with [tex]2w[/tex] from the first equation:
[tex]32=(2w)w\\32=2w^2[/tex]
Divide both sides by 2 to isolate w²:
[tex]16=w^2[/tex]
Take the square root of both sides to isolate w:
[tex]\pm4=w[/tex]
Because width cannot be negative, w=4. Therefore, the width of the rectangle is 4 cm.
3) Solve for the length
[tex]\displaystyle \left \{ {{l=2w} \atop {32=lw}} \right.[/tex]
Now, that we have the width (4 cm), we can solve for the length by plugging it back into one of the equations. Either of the equations work, but we can use the first:
[tex]l=2w\\l=2(4)\\l=8[/tex]
Therefore, the length of the rectangle is 8 cm.
3) Draw the rectangle
We can use what you had before as a foundation. You drew a rectangle with width 4 cm and length 7 cm. To draw the correct rectangle, add another row on top to make it 4 cm by 8 cm.
I hope this helps!
What is the probability of a red on this spinner?
Be sure to reduce.
Answer:
2/8 or 1/4 simplified
Step-by-step explanation:
If you count how many equal sections there are, you will see there are 8, and 2 or those 8 sections are red so that would easily give you your answer, 2/8.
And to simplify it divide both the top and the bottom by 2 and that gives you 1/4.
Hope the helps! :)
The probability of a red on this spinner would be 1/4.
Used the concept of probability that states,
The term probability refers to the likelihood of an event occurring. Probability means possibility.
Given that,
A spinner is shown in the image.
Since there are a total of 8 parts with different colors.
And, the number of red colors on this spinner is 2.
Hence, the probability of a red on this spinner would be,
P = 2 / 8
P = 1 / 4
Therefore, the probability is 1/4.
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ4
A pendulum's height is modeled by the function h(t) = 4 cos(pi/4*t) + 8 where h is the
measure of the pendulum's height in feet and t is the number of seconds since the
maximum height. How many seconds does it take the pendulum to complete one
full swing?
===========================================================
Explanation:
The general cosine template is
y = A*cos(B(t - C)) + D
where in this case
A = 4B = pi/4C = 0D = 8We only really need to worry about the B value. To get the period T, we do the following
T = 2pi/B
T = (2pi)/(pi/4)
T = 2pi * (4/pi)
T = 8
Note how the pi terms canceled. The period is 8 seconds, which is the length of one full cycle. This is the time it takes for the pendulum to do one full swing (eg: start at the right, swing to the left all the way, then swing back to the right again).
The result of 8 we got has nothing to do with the D = 8 value (this D value could be any other number and T = 8 would still be the case as long as B doesn't change of course).
helppppppppppppppp me
Answer:
42
Step-by-step explanation:
5²+3(2)+5+6
25+6+5+6
31+11
42
Hope it helps
given that a random variable X has a geometric distribution that X- Geometry 0.67. Find the mean
Answer:
Hello,
0,4925...
Step-by-step explanation:
A geometric random variable X with parameter p has probability function:
[tex]f(x)=p*(1-p)^x\ where\ x=0,1,2,3....\\\\mean=\dfrac{1-p}{p} =\dfrac{1-0.67}{0.67} =0.4925...[/tex]
Answer
hey my friend ur answer is 0,4925.
hope it is helpful
