Answers
Answer:
[tex]k=6, k=-1[/tex]
Step-by-step explanation:
[tex]\dfrac{k+3}{3}-\dfrac{2}{k-5}=1[/tex]
[tex]\implies \dfrac{(k+3)(k-5)}{3(k-5)}-\dfrac{3 \cdot 2}{3(k-5)}=1[/tex]
[tex]\implies \dfrac{k^2-2k-15-6}{3(k-5)}=1[/tex]
[tex]\implies k^2-2k-21=3k-15[/tex]
[tex]\implies k^2-5k-6=0[/tex]
[tex]\implies (k-6)(k+1)=0[/tex]
[tex]\implies k=6, k=-1[/tex]
Related Questions
multiplicative inverse of 3.5
Answers
Solve in base 2 1111+1101+101
Answers
Answer:
100001
Step-by-step explanation:
First, convert the three numbers to base 10. 1111=15, 1101=13, and 101=5. Now, add the numbers up in base ten. 15+13+5=33. Lastly, convert 33 to base 2. 33=100001 in base 2.
What is the area of a sector with a central angle of π3 radians and a radius of 12. 4 m? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. M².
Answers
The sector is a part of the circle. Then the area of the sector will be 161 square centimeters.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The central angle of π/3 radians and a radius of 12.4 m.
Then the area of the sector will be given as
[tex]\rm Area\ of\ sector = \dfrac{\theta}{2\pi} \ \pi r^2\\\\\\Area\ of\ sector = \dfrac{\pi / 3}{\pi } *\pi * 12.4^2 \\\\\\Area\ of\ sector = 161.01 \approx 161[/tex]
The area of the sector is 161 square m.
More about the circle link is given below.
https://brainly.com/question/11833983
please help solve this problem evaluate ³√8
Answers
Answer:
the answer is 2
Step-by-step explanation:
re right 8 as [tex]2^3[/tex]= 3 √ [tex]2^3[/tex]
Pull terms out from under the radical, assuming real numbers. =2
Find the equation of the linear function represented by the table below in slope-intercept form.
x y
-4 0
1 5
6 10
11 15
Answers
Answer:
the desired equation is y = x + 4.
Step-by-step explanation:
Slope is defined as m = rise over run. Run is the change (usually an increase) in x, and rise an increase or decrease in y.
We see, in the table, that if x increases from 1 to 6 (a 'run' of 5), y increases from 5 to 10 (a 'rise' of 5). Thus, it's immediately apparent that the slope is m = rise / run = 5 / 5, or just 1.
Using the slope-intercept form of the equation of a straight line, y = mx + b, and the point (1, 5), we calculate b:
5 = 1(1) + b, or b = 4.
Therefore the desired equation is y = x + 4.
Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. some are scented and some are unscented. if she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel. for the events "shower gel" and "scented" to be independent, what must be shown to be true? p(lotion) = 42% p(scented) = 42% p(shower gel | scented) = 42% p(scented | shower gel) = 42%
Answers
The probability of selecting a shower gel given item is scented must be the same as grabbing shower gel which is 42%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Juanita has a storage closet at her shop with extra bottles of lotion and shower gel, some are scented and some are unscented.
If she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel.
For the events "shower gel" and "scented" to be independent.
P(A|B) = P(A)
P(B|A) = P(B)
P(A∩B) = P(A) × P(B)
We know that the probability she selects a shower gel is 42%. Let this event be A. Then we have
P(shower | scented) = P(shower gel) = 42%
This must be true for the events to be independent.
More about the probability link is given below.
https://brainly.com/question/795909
Answer:
The answer is
C - P(shower gel | scented) = 42%
Step-by-step explanation:
Hope this helped!
please help me please bro
Answers
Answer:
point D
Step-by-step explanation:
D because -1 has to be the x value and the only point with the x value of -1 is point D
Determine the number and type of solutions of the quadratic
equation.
4x2 – 3x + 1 = 0
O one real solution
O two imaginary solutions
O one imaginary solution
O two real solutions
Answers
Answer: Choice B
Two imaginary solutions
=======================================================
Explanation:
The given equation is
4x^2 - 3x + 1 = 0
Compare this to the general quadratic
ax^2 + bx + c = 0
to find that a = 4, b = -3, c = 1.
Plug those values into the discriminant formula below.
d = b^2 - 4ac
d = (-3)^2 - 4*4*1
d = 9 - 16
d = -7
Then recall that...
If d > 0, then we have two real solutions.If d = 0, then we have only one real solution.If d < 0, then we have two imaginary solutions.We see that d = -7 fits with the third option highlighted above.
4x2 – 3x + 1 =
0 one real solutiontwo imaginary solutionsone imaginary solutiontwo real solutions→ two imaginary solutionsPLEASE HELP!! ILL MARK BRAINLYEST!!!
Solve the equation.
-5 = b - 2.3
b =
Answers
Answer:
b = -2.7
Step-by-step explanation:
Isolate the variable, b
-5 = b - 2.3
add 2.3 to both sides (to isolate variable b)
-5 + 2.3 = b - 2.3 + 2.3
-2.7 = b + 0
-2.7 = b
Check work:
-5 = -2.7 - 2.3
-5 = -5
Correct
pleas help me with #5 i would really appreciate it !!
Answers
Answer: 1 3 5 7 ADD BY 2
Step-by-step explanation:
welcome
Answer:
Angles 6 & 7 are consecutive interior angles
Step-by-step explanation:
They are both on the same side of the transversal, and on the interior parts of the parallel lines.
Davion Hunt Freeman
A literary agent makes $30,000 a year plus 13% commission on the sales of her clients' books to publishers. The agent sold 4 books for $175,000 each for her
clients this year.
Find her total earnings.
Answers
Answer:
She made $121000.
Step-by-step explanation:
The money the agent sold was:
4*175000=700000 (dollars)
but she only gets 13% of this, so she earned:
700000*0.13=91000 (dollars)
She also makes $30000 per year, so the total income she earned was:
91000+30000=121000
PLEASE HELP Which of the following are statistical questions?
I How many copies of the novel have been sold at each store this month?
II How many siblings do you have?
III How many cars are parked in the parking lot each day?
IV How old is your sister?
A.
I and II
B.
I and III
C.
III and IV
D.
Only I
Answers
Answer:
A.
I and II
is right answer
An employee at a clothing store makes $12.75 per hour plus a 5.75% commission on sales. This week she worked 45 hours and her sales were $12,675. How much did she earn this week?
Answers
Answer:$1,302.56
Step-by-step explanation:
First you must find the amount she made from working her hours.
$12.75 x 45(hours)=$573.75
Next you must find how much she made from her commission on sales.
$12,675 x 0.0575(5.75% converted to a decimal)=728.8125.
Round 728.8125 to the nearest hundredth to get $728.81.
Add these two numbers together.
$728.81+$573.75=$1,302.56
Answer:
$1,302.56
Step-by-step explanation:
You must first determine how much she earned throughout her working hours.
$12.75 multiplied by 45 hours equals $573.75.
The next step is to determine how much she earned from her sales commission.
728.8125 = $12,675 x 0.0575(5.75 percent converted to a decimal).
To get $728.81, round 728.8125 to the nearest hundredth.
These two integers should be added together.
$728.81+$573.75=$1,302.56
what does the called 0.22
Answers
which of the following numeral expressions may represent the probability of a simple event?
Answers
You start at (0, -1). You move left 3 units and right 6 units. Where do you end?
Answers
moving left and right is the x
moving up and down is the y
in archery competition,Lisa hit 2 more than jenny.althogether they hit 82 . how many did Jenny hit ?
Answers
Answer:
40
Step-by-step explanation:
let L be lisa's hit and J be jenny's
given that
L+J = 82 and
L = J+2
equate the two together
J+2+J=82
2J = 82-2
J= 80/2
J=40
1. The product of 3 and a number increased by six is 24.
Answers
Answer:
Y= -14
Step-by-step explanation:
3 X ( y + 6 ) = - 24
y + 6 = - 8
y = - 14
Answer:
Equation: 3x + 6 = 24Solved: x = 6Step-by-step explanation:
Let x be the number
Write it out: 3x + 6 = 24Subtract 6 from each side, so it now looks like this: 3x = 18Divide each side by 3 to cancel out the 3 next to x. It should now look like this: x = 6I hope this helps!
A survey asked a group of adults and youths if they prefer reading books printed on paper or electronic books. Results are shown in the table below, but some values are missing. Fill in the missing values.
Answers
The missing values for the given two-way table are shown in the image attached below (see attachment).
What is a Two-way Table?A two-way table can be described as table that shows the frequencies of two categorical variables in rows and columns respectively.
To find the missing values in the two-way table that is given, simply subtract a known value from the corresponding given total of a row or column.
Thus:
First row total for print and electronics = 33 + 24 = 57
Second row for electronics = 48 - 24 = 24
Second row total for print and electronics = 32 + 24 = 56
Column total for print = 33 + 32 = 65
Third column for grand total = 57 + 56 = 113
Therefore, the missing values for the given two-way table are shown in the image attached below (see attachment).
Learn more about two-way table on:
https://brainly.com/question/20744563
The mean in
2, 2, 3, 5, 7, 7, 9, 10?
Answers
Answer:
5.6
Step-by-step explanation:
add them together and divide by 8 because there are 8 numbers
Have a nice day :)
Answer:
5.625
Step-by-step explanation:
u hv to add it all up and count the amount of numbers then divide
There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars
could be in the parking lot if there are 35 cars?
Answers
35 cars / 5 (ratio of cars) = 7
7 x 4 (ratio of trucks) = 28 total trucks
total cars and trucks = 28 + 35 = 63
Answer:
28 trucks when there are 35 cars
28:35
∠A and ∠B are complementary. The measure of ∠A is 32°. What is the measure of ∠B? Enter your answer in the box. °
Answers
Answer:
∠B = 58°
Step-by-step explanation:
∠A and ∠B are complementary.
-> ∠A + ∠B = 90°
-> 32° + ∠B = 90°
-> ∠B = 90° - 32°
-> ∠B = 58°
Answer:
<B = 58
Step-by-step explanation:
complementary angles are angles that sum up to 90°.
If A and B are angle when added will form 90°, to find B we follow the following steps
A + B = 90
if A = 32°,
32 + B = 90
collect like terms
B = 90 - 32
B = 58
that means
32 + 58 = 90
B = 58
Do mark Brainliest
The vertex form of the function is Choose the equation that shows a step in the process of completing the square on the given quadratic. y = x2 + 8x – 3 y = (x + 2 + RETRY y = x2 + 8x + 8-3-8 y = x2 + 8x + 8 – 3+ 8 ✓ y = x2 + 8x + 16 - 3-16 X y = x2 + 8x + 16 - 3 + 16 COMPLETE
Answers
Answer:
vertex form is y=(x+4)^2-19
Step-by-step explanation:
Answer:
(4,-19)
Step-by-step explanation:
What number has the same absolute value as 47
Answers
Answer:
-47
Step-by-step explanation:
Jane made $108 for 9 hours of work.At the same rate, how many hours would she have to work to make $216?
pls help
Answers
Answer:
18 hours
Step-by-step explanation:
$108 = 9 hours
$216 = x hours
we want to get to $216 from the original equation. one thing we can do to get there is to figure out what we need to multiply 108 by to get 216. to figure this out, we can calculate 216/108 = 2.
therefore, we can multiply both sides of the original equation by 2 to get
$216 = 9 * 2 hours = 18 hours as our answer
ASAP 50 POINTS
Select the correct answer.
Which function has a restricted domain?
Answers
Answer:
Therefore, option B is correct.
[tex]\large\boxed{\sf y=\left(3x\right)^{\frac{1}{5}}-4}[/tex] Has infinity domain
[tex]\large\boxed{\sf y=\left(-x+3\right)^{\frac{1}{2}}}[/tex] Has a domain x < 3
[tex]\large\boxed{\sf y=-\left(x+8\right)^3 }[/tex] Has infinity domain
[tex]\large\boxed{\sf y=\:\left(4x\right)^2-5}[/tex] Has infinity domain
Answer:
2nd one
Step-by-step explanation:
Here if we simplify
[tex]\\ \rm\Rrightarrow (-x+3)^{1/2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{-x+3}[/tex]
So
-x+3>=0-x>=-3x<=3So domain is restricted
Option B
In the three-cell model of the general circulation, areas of surface low pressure should be found at _______________.
a) the equator and 60o latitude
b) 30o latitude and 60o latitude
c) 30o latitude and the poles
d) the equator and 30o latitude
e) the equator and the poles
Answers
In the three-cell model of the general circulation, areas of surface low pressure should be found at the equator and 60° latitude.
What is Surface Low Pressure?
In any environment, geographically speaking, the place with the lowest relative pressure is called the surface low-pressure center.
Surface low-pressure centers are created when the atmospheric circulation of air (vertically) reduces a minuscule amount of atmosphere from a geographical region.
Learn more about Surface Low Pressure at:
https://brainly.com/question/894489
7. Angle A and Angle B are congruent. The measure
of Angle A is 2x + 3. The measure of Angle B is 3x –
5. Solve for x. What is the measure of each Angle?
Answers
=========================================
Work Shown:
angle A = angle B
2x+3 = 3x-5
3+5 = 3x-2x
8 = x
x = 8
angle A = 2x+3
angle A = 2*8+3
angle A = 16+3
angle A = 19
angle B = 3x-5
angle B = 3*8-5
angle B = 24-5
angle B = 19
Both angles are the same measure (19), which confirms our answer.
Answer:
X=8
Step-by-step explanation:
2x+3=3x-5. subtract 2x from both sides
3=x-5. add 5 to both sides
3+5=x
x=8
Alexa has finished her culinary training program and is now working full-time as a chef in a hotel resort restaurant. She has tripled her salary from when she was working part-time to pay her expenses through school. How should this increased income affect her budget? Make comparisons with her previous budget and her current budget. Monthly Budget Previous Budget Current Budget Income Wages $800 $2400 Expenses Rent Utilities Groceries Savings Bus Pass $300 $60 $200 $100 $30 $300 $60 $250 $150 $30 Net Income $110 $1610 a. Alexa is earning quite a bit more money and her expenses reflect the change in income. B. Alexa is earning quite a bit more money than she was previously. She has worked hard and deserves to spend a lot of money on herself. C. Alexa is earning quite a bit more money than she was previously. This would be a good time for her to re-evaluate her budget. Part of the extra money she is making could be put in her savings account. D. Her increased income should have no effect on her financial decisions. Please select the best answer from the choices provided A B C D.
Answers
From the table it is obvious that Alexa is earning quite a bit more money than she was previously.
What is a budget?The term budget refers to an organized plan for income and expenditure. Budget usually helps a person to prioritize certain issues over others when making purchases.
We can see from the question that Alexa is earning quite a bit more money than she was previously. This would be a good time for her to re-evaluate her budget. Part of the extra money she is making could be put in her savings account.
Learn more about budget: https://brainly.com/question/15712390
Answer: C
Step-by-step explanation: I just took the test
Find the area of the rectangle with the given base and height.
3 ft 3 in
The area of the rectangle is it?
(Type an integer or a simplified fraction.)
Plz help
Answers
Answer: Area = 108 in. or 3/4 ft.
Step-by-step explanation: The formula for the area of a rectangle is l•w (length times width).
To get the area, you need to convert the units of measurement to one or the other (either inches or feet) because you cannot multiply them unless they are the same.
To get the area in inches, you convert 3 ft. to inches which is 36 inches, and then multiply it by 3 inches. You will get that the area = 108 inches.
To get the area in feet, you convert 3 inches to feet which is 1/4 (or 0.25) feet and then multiply it by 3 feet which gives you area = 3/4 ft. (or 0.75 ft.). Hope this helps.