Given:
The expression is
[tex]\dfrac{x-5}{3x^2-10x-25}[/tex]
To find:
The restricted value of given expression.
Solution:
We have,
[tex]\dfrac{x-5}{3x^2-10x-25}[/tex]
Equate the denominate equal to 0, to find the restricted value.
[tex]3x^2-10x-25=0[/tex]
[tex]3x^2-15x+5x-25=0[/tex]
[tex]3x(x-5)+5(x-5)=0[/tex]
[tex](x-5)(3x+5)=0[/tex]
Using zero product property, we get
[tex]x-5=0\text{ and }3x+5=0[/tex]
[tex]x=5\text{ and }x=-\dfrac{5}{3}[/tex]
Therefore, the restricted values are [tex]x=5\text{ and }x=-\dfrac{5}{3}[/tex].
Can someone help
- wrote an equation of the line in slope intercept form
Answer:
y=-2x+8
Step-by-step explanation:
Hope this helps!
What is the answer to this: f(x) = -1/3x -6
Answer:
x=0
x=1
The table already give us a hint, which is a set of values that are telling us what is the value of every function f(x) and g(x) for a given value for 'x' variable.
From the table we know that f(x) decreases when x>0 and goes in the other direction when x<0.
g(x) goes on a different direction, when x>0, it gets bigger, and when x<0, the function decreases.
So the two functions do not have too much space for being equal.
So, you can use the points given in the table to start your test.
f(0)= 0,25 ^ 0=1 since a number raised to 0 is always 0.
g(0)=-0.75 * 0 + 1 = 1
f(1)=0.25^1=0.25 since a number raised to 1 is always equals to itself
g(1)=-0.75*1+1=0.25
So f(x)=g(x), when x=1 and when x=0
sorry this is the picture help me please I only have 5 minutes to do this
Answer:
a. f(-1) = 17
b. x= 6/5
2a c(45) =360 means Antonio burned 45 calories in 360 mins
Answer:
a. (f(-1) = 17)
b. x=6/5
2a c(45) = 360 means that Antonio burned 45 calories in 360 minutes.
Step-by-step explanation:
The depth of water near a boat dock is collected by a buoy. The data shows that the water level reached 11 feet during high tide at 2:00am and a level of 8 feet during low tide at 9:00am. The depth can be modeled by a sinusoidal function. How deep will the water be at noon? Round your answer to the nearest hundredth. HINT: The equation that models this is y=1.5sin (25.72(x+1.5))+9.5
9514 1404 393
Answer:
9.17 ft
Step-by-step explanation:
Put x=12 in the equation and evaluate. (The sine argument is in degrees.)
y = 1.5·sin(25.72(12 +1.5)) +9.5 = 1.5·sin(347.22) +9.5
y = -0.33 +9.5 = 9.17
The water will be 9.17 feet deep at noon.
Write and equivalent addition expression to 25 - 8.
Answer:
gt
Step-by-step explanation:
Answer:
Step-by-step explanation:
25 - 8 is 17
so you just need to come up with an expression that equals 16 like 4x4 +1 or 8 +9
I don’t understand this please help
Answer:
C
Step-by-step explanation:
Because that's how many her uncle gave her
25x-43=207 what is x equal to?
Answer:
x=10
Step-by-step explanation:
First we need to use the addition property of equality to try to get 25x isolated. So we will add 43 to both sides
25x = 250
Now we will use the division property of equality to divide both sides by 25 to get x isolated or by itself.
x=10
If you plug it back into the equation it will remain a true statement.
Answer:
x=10
Step-by-step explanation:
First take -43 and add it to 207 because if your moving to one side you have to do the opposite of what it tells you so that gives you the equasion of...
25x=250
Then from there you take your 250 and divide it by 25 which gives you an answer of x=10
#4: STEM While resting, a human takes in about 5 liters of air In 30 seconds. At this rate, how many liters of air does he take in during 150 seconds?
Original Ratio Final Equivalent Ratio Meaning:
Answer:
25
Step-by-step explanation:
divide 150 by 30 to find how many times 30 goes into 150. Your answer should be 5. Then times 5 by 5 to get 25. a resting human can take in 25 liters of air in 150 seconds.
hope this helps :3
if it did pls mark brainliest
Plz help me, can't figure this out:
Answer:
y= -2/5x - 6
Step-by-step explanation:
Use Rise/Run with any of the given points! You go up two, left 5. That proves the slope is -2/5. The line hits the Y axis at -6, so the y-intercept is -6!
I hope this helps!!
I need help with this
Answer:
They are on the 31 yard line.
Step-by-step explanation:
Kenson and Shelly are each saving money. • Kenson has $60 in savings and will save an additional $12 every week. • Shelly has $85 in savings and will save an additional $7 every week. Which equation can be used to determine w, the number of weeks it will take Kenson and Shelly to save the same amount of money?
Answer:
$2.30
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
brooooooooooooooo i missed it post somthing else like that
Answer:
lol
Step-by-step explanation:
The transformation multilateral ABCD undergoes is a [ ]
Answer:
133
Step-by-step explanation:
I don’t really understand this can someone help please?
Answer:
23 degrees
Step-by-step explanation:
So basically you plug in -10x + 58 = 111 and then solve for x. You then plug x into 6x +41. Thats how you find the angle measure. Plz award brainliest
Answer:
23
Step-by-step explanation:
Ans is in attachment
hope it helps :)
plz mark as brainliest
anyone know the answer for this?
Answer:
imma say the third on
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
Since 2 is the common factor, 2 goes into 4, 2 times; 2 goes into 6, 3 times
PLEASE HELP!!!!
ill give you brainliest
NO FAKES!
Take your time. if you don't know just don't answer it wrong!
Answer:
1 bracelet 8 red 15 yellow
2 bracelet 16 red 30 yellow
3 bracelets 24 red 45 yellow
12 bracelets 96 red 180 yellow
Step-by-step explanation:
Multiply bracelet times 8 red and 15 yellow
How many soap cakes can be placed in a box of size 56 cm x 0.4 m 0.26 m, if the size
of a soap cake is 7 cm x 5 cm x 2.5 cm?
Answer:
length of box = 56cm
breadth = 0.4m = 40cm
height = o.25m = 25cm
Volume of Box = Volume of soap × n
n = number of soaps.
LBH = lbh × n
56 × 40 × 25 = 7 × 5 × 2.5 × n
n = 56×40×25/35×2.5
n = 56000/87.5
n = 640
so, 640 soaps can be placed in the box.
Which fraction is equivalent to 2/6?
Answer:
1/3, 2/6, 3/9, 4/12
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
if you simlpify 2/6 you would get one third times that by three its 3 ninths
What value of w makes 19 – (–10) = w a true sentence?
Eleanor recently visited a bank to get a car loan. Upon reviewing her credit score, the bank decided to deny her request for a car loan. Eleanor decided to check her credit report herself. There, she found three accounts that she didn't open, and they were all past due for payment. Eleanor was a victim of ______ (a. bank fraud / b. identity theft) and should check her (a. credit card disclosure agreement / b. credit report) more often to avoid being surprised in the future.
Answer:
victim of identity theft and credit report
Step-by-step explanation:
got it right on my test
At the city museum, child admission is 6.10 and adult admission is 9.40. On wednesday, 125 tickets were sold for a total sales of 944.00. How many adult tickets were sold that day?
When Melissa was born, her parents put $28,000 into a college fund account that earned 11.5% simple interest. Find the total amount in the account after 240 months.
9514 1404 393
Answer:
$92,400
Step-by-step explanation:
The amount in the account after t years is ...
A = P(1+rt)
where P is the principal invested, r is the annual interest rate, and t is the number of years.
Here, the number of years is (240 months)/(12 months/year) = 20 years, so the formula tells you the amount is ...
A = $28,000(1+0.115*20) = $28000(3.3) = $92400
The total amount in the account after 240 months is $92,400.
hope this pic helps. enjoy
What is the answer????
Answer:
9 or 12
Step-by-step explanation:
There are 16 girls and 20 boys in school band what is the ratio of girls to boys in simplest form
Answer:
4/5
Step-by-step explanation:
Since we know that the first ratio that we have is 16:20, all you have to do is simplify by dividing and you get 4/5.
There you go.
You are 6 feet tall and cast a 8 foot shadow. At the same time of day your friend casts 7 foot shadow how tall is your friend?
Answer:
4
Step-by-step explanation:
HELP THIS IS IMPORTANT!!! The range of the following relation R {(3.-5), (1, 2), (-1,-4),(-1, 2)} is (1 point) Oa ng 1-1.1.3) Ob {-5. -4, 2} oc {-4. - 5. 2. 2)
Answer:
The range is -5,2,-4,
Step-by-step explanation:
hope that helps
Solve the equation
6-x-x = 18
a: -6
b: 6
c: 9
d: -9
Answer:
x = -6
I hope this helps!
If A pizza has 8 slices and sells for $12. At this rate, how much would 15 slices cost?
Answer:the answer is 11
Step-by-step explanation:
pls give brianlyist
Answer:
$22.50
Step-by-step explanation:
8 slices = $12
8/4 = 2
$12/4 = $3
8 + 6 = 14
14 s = $21
1 slice = $1.50
* 15 = $22.50
2x + 5y = -5
x + 3y = 3
Find the solution to the system algebraically
Answer:
-2y=-5x=3
Step-by-step explanation:
Make sure every variable is on one side of the equation and you get the answer.
Lisa earns 4.75% on her sales.
She averages $50,000 in sales monthly.
Additionally, she earns $500 biweekly.
What is her annual pay (including commissions)?