The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
The given equation is:
[tex]3-k=\sqrt{3k+1}[/tex]
Square both sides of the equation
[tex](3-k)^2=3k+1[/tex]
Expand the left side of the equation above
[tex](3-k)^2=3k+1\\\\(3-k)(3-k)=3k+1\\\\3^2-3k-3k+k^2=3k+1\\\\9-6k+k^2=3k+1[/tex]
Write the quadratic equation in standard form
[tex]k^2-6k-3k+9-1=0\\\\k^2-9k+8=0\\\\[/tex]
Factor the quadratic equation
[tex](k-8)(k-1)=0[/tex]
Use the zero product property
k - 8 = 0
k = 8
k - 1 = 0
k = 1
The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
Learn more here: https://brainly.com/question/25840704
answer
first one: 8 and 1
second one: is 1
Step-by-step explanation:
slay
2,38 x 5,6 + 9,52 hljkjkk
Answer:
22.848
Step-by-step explanation:
just type it into a calculator dawg
what is greater -5 1/2 or -6.5
Answer:
-5 1/2
Step-by-step explanation:
-5 1/2=-5.5 which is closer to 0
Hey there!
GUIDE:
> is greater than
• is the GREATER THAN the other number
< is less than
• your number is LESS THAN the other number
≥ is greater than or equal to
• it means that either a number is greater or equal to the other number
≤ Is less than or equal to
• it means that either a number is less or equal to the other number
= is equal
• it means that it is equal to the other number
SOLVING FOR YOUR ANSWER!
-5 1/2 __?__ -6.5
-5 1/2
= -5 * 2 + 1 / 2
= -10 + 1 / 2
= -11 / 2
= -5.5
= -5.5 > -6.5
Therefore, your answer should be:
-5 1/2 > -6.5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
identify the coefficient in the term 7x^2y^3
The coefficient in the term 7x^2y^3 is 7
The term of the expression or equation is given as:
7x^2y^3
For an expression represented as 2x, the coefficient is 2.
Similarly, the coefficient in the term 7x^2y^3 would be 7
Hence, the coefficient in the term 7x^2y^3 is 7
Read more about terms and coefficients at:
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(-4+2)•(-5+3)/-3 please help
Answer:
-4/3
Step-by-step explanation:
(-4 + 2) • (-5 + 3)/-3
=> -2 • (-2)/-3
=> -2 • 2/3
=> -4/3
Therefore, -4/3 is your answer.
Hoped this helped.
Answer:
The answer is -4/3.
Step-by-step explanation:
(-4+2) = -2
x (-5+3) = -2
-2 x -2 = 4.
=-4/3
May I please receive help?
Answer:
Length of the shadow = 20.5 cm
Step-by-step explanation:
Given the 32-meter height of a tall building, and its casted shadow of 38 meters, we can find the unknown length of the shadow by using the Pythagorean Theorem.
Definition:The Pythagorean Theorem states that the squared length of the hypotenuse of a right triangle is equal to the sum of the squared lengths of the legs.
The algebraic representation of the Pythagorean Theorem is:
c² (hypotenuse) = a² (leg₁) + b² (leg₂)
SolutionTo solve for the given problem:
Let c = 38 m (distance from the top of the building to the tip of the shadow)
a = unknown length of the shadow
b = 32m (height of the building)
Since we have to solve for the value of a (unknown length of the shadow), we must algebraically solve for a:
c² = a² + b²
Subtract b² from both sides:
c² - b² = a² + b² - b²
a² = c² - b²
Substitute the given values into the formula for solving a :
a² = c² - b²
a² = (38)² - (32)²
a² = 1444 - 1024
a² = 1444 - 1024
Next, take the square root of both sides to solve for a:
[tex]\displaystyle\mathsf{\sqrt{(a)^2}\:=\:\sqrt{420}}[/tex]
a = 20.49 or 20.5 cm
Therefore, the length of the shadow is 20.5 cm.
what is .072 divided by 345.00
Answer:
Step-by-step explanation: if its .072
or if it 0.72/345.00
0.00208695652
HELP PLEASE!!!!!!!!!
Answer:
-1/4
Step-by-step explanation:
please mark brainliest
Among 420 randomly selected employees at a company, the mean number of hours of overtime worked per month is 10 hours and the standard deviation is 1. 6. What is the margin of error, assuming a 99% confidence level? 4. 12 0. 01 0. 20 20. 5.
The margin of error of the random selection is 0.20
The given parameters are:
[tex]n = 420[/tex] --- the sample size
[tex]\sigma = 1.6[/tex] --- the standard deviation
[tex]\bar x = 10[/tex] --- the mean
[tex]\alpha = 99\%[/tex] --- the confidence level.
The margin of error (E) is calculated as follows:
[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]
So, we have:
[tex]E = z \times \sqrt{\frac{1.6^2}{420}}[/tex]
[tex]E = z \times \sqrt{\frac{2.56}{420}}[/tex]
The z-value for 99% confidence level is 2.576.
Substitute 2.576 for z
[tex]E = 2.576 \times \sqrt{\frac{2.56}{420}}[/tex]
[tex]E = 2.576 \times \sqrt{0.006095}[/tex]
Take square roots
[tex]E = 2.576 \times 0.0781[/tex]
Multiply
[tex]E = 0.2012[/tex]
Approximate
[tex]E = 0.20[/tex]
Hence, the margin of error is 0.20
Read more about margin of error at:
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Divide 120ml into the ratio 3:7
Answer:
Step-by-step explanation:
sum of ratio=3+7=10
total=120 ml
first part=3/10×120=36 ml
second part=7/10×120=84 ml
WILL GIVE BRAINLIEST! what are the values of a and b so the system of equations has infinitely many solutions?
y=6x+b
y=ax+3/4
Answer:
a = 6
b = 3/4
Step-by-step explanation:
They both need to have the same slope.
The slope in the first equation is 6
That means that the second equation must have a = 6
They both need to have the same y intercept
The second equation has a y intercept of 3/4
Therefore b in the first equation, must be 3/4
what is the tangent ratio of angle x°
Answer:
tan x = 3/4
Step-by-step explanation:
The hypotenuse of the triangle is 10 ft.
For angle x, the opposite leg is 6 ft, and the adjacent leg is 8 ft.
tan A = opp/adj
tan x = 6 ft / 8 ft
tan x = 3/4
Which pairs of angles are alternate interior angles? Select all that apply.
A. 3 and 6
B. 3 and 8
C. 4 and 5
D. 4 and 7
E. 1 and 8
PLEASE HURRY!!
heeeeeelllllppppppp please
Answer: D. <Q ≅ <T
Step-by-step explanation:
This satisfies the ASA Congruency Theorem.
Can somebody please help me
Answer:
b is 62 a is 118 c is 59 I have to get 20 characters
Evaluate 5−1/−90. Write your answer as a fraction in simplest form.
Answer:
2/-45
Step-by-step explanation:
5-1 = 4
4/-90 = 2/-45
Hope that helps
Help for points! please
Answer:
B 5/12
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
i just did it
have a nice dayyyyyyyyyyyyyyyy
Pls pls I just need the equation to this thank you so much!
Answer:
5.00+5.5+5.10+5.15+5.20+5.25= x
x is whatever the cost is.
if you want x, it is.... 31.2
or
y=5.00+5.5+5.10+5.15+5.20+5.25
If you want the equation in linear form (as in y= _x+b), then it is:
y=0.001x
sorry if im wrong! :D
Step-by-step explanation:
Just ask!
Hope this helps... :)
does 7x+3x-8 = 2(5x-4) have one solution, no solution, or infinitely many solutions?
Answer: only has one solution
Step-by-step explanation: If you find the answer for 7x+3x-8, youll get 10x+8. This will be the same answer for 2(5x-4). Making them equal and having only one solution
Answer:
x has infinite values.
Step-by-step explanation:
7x+3x-8 = 2(5x-4) = 7x+3x-8 = ||10x-8 = 10x-8||
In this case this we have the same eqations on both sides, x = anything.
In other words, x have infinite values.
At a restaurant your total bill is $45. Sales tax is 5%. What is your total bill after tax?
Answer:
47.25
Step-by-step explanation:
Heres how I found the answer:
if sales tax is 5%, then we need to find 5% of 45 and add it to 45!
5% of 45= 2.25
(I found this by doing 45*5%, or 45*.05)
Now, add 2.25 to 45!
Total bill=47.25 dollars
Hope I could help!
HELP ME PLEASE!
Find the value of the discriminant for the quadratic equation. Then, describe the number and type of roots for the equation.
25x^2 -20x + 4 = 0
Answer:
real and equal roots
Step-by-step explanation:
because at end of calculation,0=0
The _________ setting in the option profile automatically closes any open vulnerabilities on ports that are no longer targeted in your scan job.
The name which is given to the setting in the option profile which automatically closes any open vulnerabilities on ports that are no longer targeted in your scan job is:
Vulnerability DetectionBased on the given question, we can see that in network security, there are certain protocols which has to be followed to ensure that there is security and that unauthorised access does not occur.
As a result of this, the Vulnerability Detection is used to set in the option profile to help to close the open vulnerability on the ports which are not targeted in the scan job.
Therefore, the correct answer is Vulnerability Detection
Read more about vulnerabilities here:
https://brainly.com/question/18088367
Mrs phillubum has $200 in her bank account and is saving at a rate of $25 each week.
10x1+2x60/10
Hi! Um I have only four questions on an assignment thats due Friday, this is one of them and I keep getting stuck, can someone please help me out?
Answer:
2
Step-by-step explanation:
In the figure shown below find the value of a, round to the nearest tenth.
What Pic or Figure Lol
please help me!
ty :D
Answer:
x = 3,0 y = 0, -4
Step-by-step explanation:
Answer:
x - intercept (0, 3)
y - intercept (-4, 0)
Hope you could get an idea from here.
Doubt clarification - use comment section.
Use the function z=7c to find the value of z when c=8.
Answer:
z = 56
Step-by-step explanation:
z = 7(8)
Deshaun has 38 carnival tickets.
It costs 5 tickets to ride the roller coaster.
How many rides can he take?
Answer:
7 rides
Step-by-step explanation:
38/5=7 with a remainder of 3. He need 5 tickets to ride so he can only take 7 rides.
What did the wall say to the bookcase 4. 2 puzzle time answers.
Answer:
meet you at the corner
Step-by-step explanation:
(WILL GIVE BRAINLIEST)
The points (2, -4), (x,y), A and B all lie on the line in the applet below. Find an equation relating x and y
Answer:
y=3/4x-5.5 this should be your answer
Step-by-step explanation:
sorry of im wrong
have a wonderfull day!
14.) Which numbers are in order from least to greatest?
O 79%, 0.55, 1/4
O 1/4, 0.55, 79%
0.55, 1/4, 79%
O 79%, 1/4,0.55
Answer:
The second one or B
Step-by-step explanation:
1/4 = 0.25 then 0.55 then 79% = 0.79