Answer:
DOMAIN : x ∈ (-∞ , -3 )U (4 , ∞) or {x | x ∈ R where x ≠ -3 and 4}
REAL ZEROS : x = 5/3
Step-by-step explanation:
[tex]f(x) = \frac{3x -5}{x^{2} -x-12}[/tex]
factorize the bottom part
[tex]x^{2} - x - 12[/tex]
product = -12 , sum = -1 , factors = -4 and 3
[tex]x^{2} +3x-4x-12=0[/tex]
x (x + 3) - 4(x + 3) = 0
(x - 4) ( x + 3) = 0
x - 4 = 0 and x + 3 = 0
x = 4 and x = -3
for the function f(x) the domain is all real numbers ( R ) except - 3 and 4
Domain = x ∈ (-∞ , -3 )U (4 , ∞)
TO FIND THE ZEROS LET f(x) be equal to zero
[tex]0 = \frac{3x - 5}{x^{2} - x - 12}[/tex]
cross multiply
0 = 3x - 5
find x
3x = 5
[tex]x = \frac{5}{3}[/tex]
need help solving this please
Answer:
A) x=39
Step-by-step explanation:
117 = 3x
117 divided by 3 = 39
3x = 117
3(39) = 117
117 = 117
A) x = 39
how can a single X input equal multiple Y outputs. Example: -2,1 -2,2 -2,3 -2,4.
75 points up from grabs
What is the value for x?
Answer:
x = 80
Step-by-step explanation:
JKL + JLK = KJX
60° + 40° = (x + 20°)
Substitute KJX = (x + 20)°, JKL = 60°, JLK = 40° into JKL + JLK = KJX
x = 80
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY
step by step please
Solution:
We know that:
Given equation: 1/4(x - 2) = 3 - (x + 1/6)Simplify the distributive property.
1/4(x - 2) = 3 - (x + 1/6)=> x/4 - 2/4 = 3 - x - 1/6Further simplify both sides.
x/4 - 2/4 = 17/6 - xSubtract 17/6 both sides.
x/4 - 2/4 - 17/6 = 17/6 - 17/6 - x=> x/4 - 6/12 - 34/12 = -x=> x/4 - 40/12 = -xSubtract x/4 both sides.
x/4 - x/4 - 40/12 = -x - x/4=> -40/12 = -5x/4Use cross multiplication.
=> -160 = -60xDivide -60 both sides.
-160/-60 = -60x/-60=> x = 160/60 = 2 40/60 = 2 2/3x>10 which answer would work as a solution to this inequality
Answer:
x>10= x11
Step-by-step explanation:
x>10 and 10 or above could be the answer
what’s the relation?
Which of the following fractions is equivalent to 1.68? A. 25/42 B. 17/25 C. 42/25 D. 7/4
Answer:
42/25 or C
Step-by-step explanation:
Just by looking at the answers, we can eliminate A and B because the equivalent decimals of those would result in a number that is less than one.
Then, you can eliminate D because 7/4 is equal to 1.75
Therefore, your answer would be C, 42/25.
I just need help :);
please help me with this question
Master Mason wants to treat all the
Kids at school. How packs of 15 fudge does he need for 151 children?
Answer:
11
Step-by-step explanation:
you would have to divid 15 from 151
151/15= 10.06
since you cant get a part of a pack you would have to round up which is 11 to treat all of the kids
Answer:
he will need 11 packs of fudge
Step-by-step explanation:
to answer this question you will divide 151 by 15 and you will get 10.066. you cannot bring 0.066 packs of fudge so you would bring one extra meaning you would bring 11 packs total.
If you walk 15 miles in 8 hours, how many miles would you walk in 2 hours
Answer: 3.75 miles in 2 hours
Answer:
[tex]\huge\boxed{\sf 3.75 \ miles}[/tex]
Step-by-step explanation:
Given that:
8 hours = 15 miles
Divide both sides by 4
8/4 hours = 15/4 miles
2 hours = 3.75 miles
[tex]\rule[225]{225}{2}[/tex]
what is the number added to 24 and subtracted by 5 the total is 50. find the number
answer it with a explanation pls
Answer:
31
Step-by-step explanation:
When you add 31 + 24 = 55
55 - 5 = 50
can you help me with the answer?
Answer:
11/6
Step-by-step explanation:
- 1/3y + 3/2
1/3 x 2 = 2/6
3/2 x 3 = 9/6
11/6
Have an amazing day!
PLEASE RATE!!!
i tried multiplying but it no work am i missing something?
Answer:
3 3/16 meters
Step-by-step explanation:
The volume of the box is the product of the length and width and height. You are given the length, and you are given a relation for the width. To find the height, you need to use the given relations to create an appropriate equation to solve.
One way you can do it is this:
V = LWH
If we use a value that is (1 9/16)W, then we have ...
(1 9/16)V = L·(1 9/16)W·H . . . . . multiply the above equation by 1 9/16
Putting the given values into this relation, we have ...
(1 9/16)(12 3/4) = (2 1/2)(2 1/2)·H . . . . . . remember, 2 1/2 = (1 9/16)W
H = (1 9/16)(12 3/4)/(2 1/2)² = (1275/64)/(25/4) = 51/16
H = 3 3/16 . . . meters
__
Additional comment
An alternative is to find the actual width:
(1 9/16)W = 2 1/2
W = (5/2)/(25/16) = 8/5 = 1 3/5
Then you would have ...
12 3/4 = (2 1/2)(1 3/5)·H = 4·H
H = (51/4)/4 = 51/16 = 3 3/16 . . . as above
Calculate the probability for the following situation: You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a head AND an odd number on the die AND a card greater than 3 (assume the ace is equal to 1) from the deck?
Answer:
Flipping the coin:
P( H ) = 1/2
---------------------
Rolling the die:
There are 6 numbers
1,2,3,4,5,6
3 of them are odd, so
P( odd ) = 3/6
P( odd ) = 1/2
Step-by-step explanation:
There are 52 cards in a deck
There are +9%2A4+=+36+
cards less than +10+
P( <10 ) = 36/52
P( <10 ) = 9/13
-----------------
Since you want ALL the above,
multiply probabilities
+%281%2F2%29%2A%281%2F2%29%2A%289%2F13%29+=+9%2F52+
A new house is purchased for $150,000. The value of the house depreciates at 7.5% per year. What will the value of the house be after 6 years?
Answer:
$82500
Step-by-step explanation:
150000÷45%=82500
Find the sum of the following arithmetic sequence. 4,10,16,22,28
Answer:
Step-by-step explanation:
This is the formula to find the sum of the first
n
terms of the sequence. To evaluate it, the values of the first and
n
the terms must be found .Sn=n2⋅(a1+an)
This is an arithmetic sequence since there is a common difference between each term. In this case, adding
6
to the previous term in the sequence gives the next term. In other words,
an=a1+d(n−1)x Arithmetic Sequence:
d=6 This is the formula of an arithmetic sequence X an=a1+d(n−1)Substitute in the values of a1=4 and d=6 x an=4+(6)(n−1)Simplify each term.
an=4+6n−6 Subtract 6 from 4 x an=6n−2 Substitute in the value of N to find the N the term x a5=6(5)−2 Multiply 6 by 5 x a5=30−2 Subtract 2 from 30 x a5=28 Replace the variables with the known values to find
S5 x S5=52⋅(4+28)Add 4 and 28 x S5=52⋅32
Cancel the common factor of
2.
S5=5⋅16 Multiply 5 by 16 x S5=80
Convert the fraction to a decimal.
S5=80
here a subtraction problem that has been solved incorrectly what is the right way 74-25=59
Answer:
x+25=74
x=74_25
x=59.
Step-by-step explanation:
this is the right way sir!
Find the exact value of the trigonometric function given that sinU=-7/25 and cosV=-4/5 (Both U and V are in Quadrant III)
sin(V-U)
cos(U-V)
cosU:-
[tex]\\ \rm\longmapsto \sqrt{1-sin^2U}=\sqrt{1-49/625}=24/25[/tex]
As U lies in Q3
cosU=-24/25sinV
[tex]\\ \rm\longmapsto \sqrt{1-cos^2V}=\sqrt{1-16/25}=3/4[/tex]
As V lies in Q3
sinV=-3/5So
sin(V-U)=sinVcosU-cosVsinU=(-3/5)(-24/25)-(-4/5)(-7/25)=72/125-28/125=72-28/125=44/125cos(U-V)=cosUcosV+sinUsinV=(-24/25)(-4/5)+(-7/25)(-3/5)=96/125+21/125=117/125if x+1/x= 3 then x-1/x = ?
Answer:
If x+1/x= 3 Then the answer for this equation (x-1/x=? ) will be...
Step-by-step explanation:
3. Order each set of numbers from least to greatest.
a. 4, 8, -2,-6,0
Answer:
-2,-6,0,4,8
Step-by-step explanation:
-2 is the least because all other numbers are greater than it(i.e any negative number is less than 0)
Just the last question please it is due in 45 minutes!!!
Which of the following functions best describes this graph?
A. y = x^2 + x - 12
B. y = x^2 - 9x + 18
C. y = x^2 + 9x + 18
D. y = x^2 - 5x + 6
Chase found new pants for $35.55 plus 7.5% tax. What is the final price of the new pants?
Answer:
$38.22
Step-by-step explanation:
7.5% of $35.55 = $2.66625
= $2.67
$35.55 + 2.67 = $38.22 after tax
Answer:
$38.22
Step-by-step explanation:
Given the following question:
7.5% of 35.55
To find the answer we must first find 7.5% of 35.55 using the formula to calculate percentages, and then we add that answer to the current price of the pants.
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{7.5\times35.55}{100}[/tex]
[tex]7.5\times35.55=266.625[/tex]
[tex]266.625\div100=2.66625[/tex]
[tex]=2.66625[/tex]
Round the answer to the nearest cent:
[tex]2.66625[/tex]
[tex]6 > 5[/tex]
[tex]=2.67[/tex]
7.5% of 35.55 is "$2.67."
Now we add the answer to the current price:
[tex]35.55[/tex]
[tex]35.55+2.67=38.22[/tex]
[tex]=38.22[/tex]
The cost of the new pants after a 7.5% tax is "$38.22."
Hope this helps.
Pls help me in all of these question
What is the value of X ?
Dario purchased a party size sub, and he decides to share it with 3 of his friends. So, he cuts the sub into 4 equal pieces. However, another one of his friends also showed up, and there are now 5 people in total.
Part A
Now that the sub will be shared equally among 5 people, will each person get more or less sub? Briefly state why you think so.
Part B
Dario decides to take each one of the 4 pieces and share it equally among the 5 of them. First, he divides one piece into 5 equal parts and shares it, then the next one, and so on.
What fraction of the party size sub did each person get after all the parts were shared out? Briefly explain your reasoning.
The fraction illustrates that each person will get less sub since there are more people sharing it.
How to explain the fraction?In this case, Dario purchased a party size sub, and he decides to share it with 3 of his friends but another friend came. This means there will be less in to be shared.
The fraction of the party size sub did each person get after all the parts were shared out will be:
= 1/5 × 4
= 4/5
Therefore, each person gets 4/5.
Learn more about fractions on:
https://brainly.com/question/78672
A phone company offers two monthly plans. Plan A costs $15 plus an additional $0.14 for each minute of calls. Plan B has no initial fee but costs $0.18 for each
minute of calls.
Step-by-step explanation:
x = number of minutes
first cost function :
c(x) = 0.14x + 15
the second cost function :
c(x) = 0.18x
I guess, the question (not written in the description) is after how many minutes call time the first plan breaks even with the second plan and further becomes the better choice ?
0.18x = 0.14x + 15
0.04x = 15
x = 15/0.04 = 375
with 375 minutes calling time per month the first plan costs the same as the second plan.
and starting with 376 minutes per month the first plan becomes the cheaper option.
under 375 minutes per month the second plan is the cheaper option.
0
1 cos 4
lim .
x ( 1) x
x
I
x e
Answer:
Hello, please consider the following.
Evaluate the limit of the numerator and the limit of the denominator.
Tap for more steps...
0
0
Since
0
0
is of indeterminate form, apply L'Hospital's Rule. L'Hospital's Rule states that the limit of a quotient of functions is equal to the limit of the quotient of their derivatives.
lim
x
→
0
e
x
2
−
1
cos
(
x
)
−
1
=
lim
x
→
0
d
d
x
[
e
x
2
−
1
]
d
d
x
[
cos
(
x
)
−
1
]
Find the derivative of the numerator and denominator.
Tap for more steps...
lim
x
→
0
2
e
x
2
x
−
sin
(
x
)
Evaluate the limit of the numerator and the limit of the denominator.
Tap for more steps...
0
0
Since
0
0
is of indeterminate form, apply L'Hospital's Rule. L'Hospital's Rule states that the limit of a quotient of functions is equal to the limit of the quotient of their derivatives.
lim
x
→
0
2
e
x
2
x
−
sin
(
x
)
=
lim
x
→
0
d
d
x
[
2
e
x
2
x
]
d
d
x
[
−
sin
(
x
)
]
Find the derivative of the numerator and denominator.
Tap for more steps...
lim
x
→
0
4
e
x
2
x
2
+
2
e
x
2
−
cos
(
x
)
Take the limit of each term.
Tap for more steps...
4
e
(
lim
x
→
0
x
)
2
⋅
(
lim
x
→
0
x
)
2
+
2
e
(
lim
x
→
0
x
)
2
−
cos
(
lim
x
→
0
x
)
Evaluate the limits by plugging in
0
for all occurrences of
x
.
Tap for more steps...
4
e
0
2
⋅
0
2
+
2
e
0
2
−
cos
(
0
)
Simplify the answer.
Thank you
Step-by-step explanation:
Which line represents a direct variation function?
line b
line a
line d
line c
image added