Answer: B)-4
Step-by-step explanation:
The given equation: [tex]\dfrac{6}{x^2-9}-\dfrac{1}{x-3}=1[/tex]
Using identity: [tex]a^2-b^2=(a-b)(a+b)[/tex]
[tex]\dfrac{6}{(x-3)(x+3)}-\dfrac{1}{x-3}=1\\\\\Rightarrow\ \dfrac{6-(x+3)}{(x-3)(x+3)}=1\\\\\Rightarrow\ \dfrac{6-x-3}{(x-3)(x+3)}=1\\\\\Rightarrow\ 3-x=(x-3)(x+3)\\\\\Rightarrow\ (-1)(x-3)=(x-3)(x+3)\\\\\Rightarrow\ -1=x+3\\\\\Rightarrow\ x=-1-3=-4 \ \ \ [x\neq3][/tex]
Hence, the solution is : x=-4
The correct option is B.
how many square inches are needed to cover a square foot????? Please help me?!?!?!??!?!
Answer:
144
Step-by-step explanation:
12 inches by 12 inches is 144. quick mafs
Answer:
144
Step-by-step explanation:
b ^ 2 - 4b - 14 = 0
Creative Logic: Kevin is hiking on the trail and has to cross a rope bridge. He looks down at the raging river below and is suddenly very nervous. The bridge has 20 planks on it and every time he steps forwards five planks, he then steps backwards four planks. How many times must he do this to reach the other side?
Answer: 40 times
Step-by-step explanation:
Given: Total planks = 20
By using integers, Steps forward is represented by +5, Steps backward s represented by -4.
After first set of two steps ( one forward another backward), 5-4 =1 step forward is captured.
For 20 planks , we require 20 such sets, i.e. he will do this 2x 20 times i.e. 40 times.
Hence, he will do this 40 times to reach the other side.
If Judy uses 400 chocolate chips to make x cookies, write an expression that represents the number of chocolate chips in each cookie.
Answer:
y=[tex]\frac{400}{x}[/tex]
Step-by-step explanation:
Answer: 400/x (over x} = Y {amount on each cookie}
Step-by-step explanation:
Please Help
Will give brainiest
Stay safe and healthy
Answer:
No, because not all of the pairs represent the same ratio. ...
A homeowner wishes to put a fence around a space in her yard to create a dog pen. The space that she wants to fence in is shown below where
6
4
2
-8
-6
-4
-2
2
6
8
-2
-6
How many feet of fencing will the homeowner need to build the dog pen?
Answer:52
Step-by-step explanation:
PLS ANSWER ITS DUE IN 5 MINUTES
Pi is the ratio of the circumference of a circle to its diameter, D
Answer:
D.
Step-by-step explanation:
is the ratio of the circumference of any circle to the diameter of that circle
f(x)=x²+4 What is the value of when f(x)=4
1. What is the equation of the line?*
Answer:
1
Step-by-step explanation:
HELPPP NEED THIS IN THE NEXT 10 MINSSS!!!!
HELP I NEED HELP ASAP
Answer:
Step-by-step explanation:
1). Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through two points (2, -10) and (-2, 18) will be,
m = [tex]\frac{-10-18}{2+2}[/tex]
m = -7
2). From the table attached,
Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of line passing through (4, -6) and (0, -2) will be,
Slope = [tex]\frac{-6+2}{4-0}[/tex]
Slope = -1
What is the slope of the line in the graph?
-4/3
-3/4
3/4
4/3
Shelly kelso's gross pay this month is $6,223. Her earnings to date for this year are $23,631. How much does her employer deduct from her paycheck this month for (a) social security and (b) medicare? 1. A. Find the social security amount
Answer:
Social Security = $385.83
Medicare = $90.23
Step-by-step explanation:
Social security rate in 2021 is 6.2% on your first $142,800 for the year. Shelly has not reached that threshold so her Social security tax is:
= 6.2% * 6,223
= $385.83
Medicare has no threshold and the rate in 2021 is 1.45%:
= 1.45% * 6,223
= $90.23
Evaluate the expectations for the given value of x
3x-2forx=2
what is the answer to this
9514 1404 393
Answer:
36
Step-by-step explanation:
The sum of the tangent segments shown is ...
6 + 3 + 9 = 18
The unmarked tangent segments will have the same measure to the same vertex as the marked tangent segments. The perimeter is ...
2 × 18 = 36 units
PLEASE IM BEGGING MAN I DONT WANNA FAIL MATH PLEASE HELP ME
HELP ME I FORGOT HOW TO DO THIS please explain
Answer:
Y = 40
X = 101
W = 20
Step-by-step explanation:
All of the triangles Angles should equal 180!
POSSIBLE POINTS: 100 A theater has group prices for tickets. The first ticket will cost $8 while each additional ticket will cost $5. Write a rule to model the situation. Then use the rule to find how the total cost of 13 tickets. Let n represent the number of tickets and c represent the total cost
Answer:
c = 8+5n
total cost of 13 tickets = $68
Step-by-step explanation:
c = 8 + 5(12)
c = 8 + 60
c = 68
(i put 12 because were already adding 8 for that ONE ticket)
Anyone know how to do this I really don’t understand
Answer:
slope of AB = 4
slope of CD = 4
Step-by-step explanation:
We simply use the slope formula for this;
The slope formula is;
m = (y2-y1)/(x2-x1)
for AB, we have;
m = (3+1)/(6-5) = 4
For CD, we have
m = (-1-3)/(1-2) = -4/-1 = 4
help me please geometry is starting to make me mad.
Answer:
48
Step-by-step explanation:
4x=148+44
4x=192
x=48
Answer:
Step-by-step explanation:
there are 360 degrees inside any 4-sided polygon
so add all four angle measures and set equal to 360:
3x + x + 44 + 148 = 360
4x + 192 = 360
4x = 168
x = 42
check:
3(42) + 42 + 44 + 148 should equal 360
126 + 42 + 192 = 360
168 + 192 = 360
360 = 360
please help ill mark first eho answers brainliest
ejejnAn equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side?
Help solve for x please
Please helppppp it’s due soon and I’m already failing my class!!!
Answer:
For an equation like:
y = a*x + b
a is the slope, and this is the rate of change of the function.
For the case of the problem, we know that the equation represents the amount of oxygen in the spaceship as a function of time. Where as the time passes, the quantity of oxygen decreases.
Then the slope is the rate of change that tells how the quantity of oxygen changes as time passes. Then the slope is the amount of oxygen that is consumed per unit of time.
Write and solve an inequality which can be used to determine x, the number of gigabyte Jose can use while staying in his budget
cant see the numbers
Dexter has 40 dimes and quarters. He has $5.20. How many quarters does he have?
How many dimes does he have?
Answer:
dimes = 32
quarters = 8
Step-by-step explanation:
set up a system of equations:
let d = # of dimes
let q = # of quarters
d + q = 40
.10d + .25q = 5.2
substitution method; let 'q' = 40 - d
.10d + .25(40 - d) = 5.2
.10d + 10 - .25d = 5.2
-.15d = -4.8
d = 32
q = 40 - 32 = 8
Answer:
Step-by-step explanation:
32 dimes
8 quarters
You can use a root to undo...
A. An exponent
B. An equation
C. A multiplication problem
D.A division problem
Answer:
multiplucation problem
Step-by-step explanation:.
I really need help with this question thanks
Answer:
The answer is A
Step-by-step example:
I just took the test and got it right hope this helps you!!!
BRAINLIEST! URGENT! Please help, I've been stuck on this problem for a while now. If you know the answer, please provide an explanation. Thank you.
The manager of an amusement park is setting the price of a wookend admission to the
park based on a summer membership of $78. Sho wants the summer membership to bo
$12 loss than 3 times the cost of a wookend pass to the park. Which equation can the
amusement park manager use to find, x, the cost of the wookend admission?
I NEED THIS ANSWER RNN
PLEASEEEEEE 30 points 30 points 30 points
Step-by-step explanation:
We have
Summer membership + $12 = 3(Weekend pass).
=> ($78) + ($12) = 3x
=> 3x = $90
=> x = $30.
Hence the weekend admission is $30.
Answer:
3x-12=78
Step-by-step explanation:
This is my thinking:
So because x is the cost of the weekend admission, the problem says 12 less than 3 times the cost of the weekend admission. The 3 times the cost of the weekend admission is the 3x, and the problem says 12 less than and that is the -12. And the whole equation is being taken from 78, so
3x-12=78.
Diana received $675.00 as an incentive for winning the
7th grade writing competition. She spent $405.00 for a
new phone. What percentage of her incentive did she
use for her phone?
Answer:
she used 60% of her money on the phone
Step-by-step explanation: