Find the domain of the function. (Enter your answer using interval notation.) f(x) = 1 /(x2 + 3x − 4)
Answers
Step-by-step explanation:
The domain of a function is the range of x such that the function is defined.
Now we know the function
[tex]f(x) = \frac{1}{ {x}^{2} + 3x - 4 }[/tex]
is only defined when the denominator is not zero, in other words, when
[tex] {x}^{2} +3x - 4 \neq \: 0[/tex]
or
[tex](x + 4)(x - 1) \neq0[/tex]
[tex]x \ne-4 [/tex]
and
[tex]x \neq +1[/tex]
1/(x^2+3x-4)
1/(x+4)(x-1)
{x|x≠1,-4}
Answer:
(negative infinity, -4) U (-4,1) U (1, infinity)
Related Questions
Which statement compares the two numbers correctly?
0.799 ________ 0.8 I need help thanks if you will ill give you 70 points but you have to help me before 4:00 thanks soo much if you do
Answers
Answer:
the statements are missing can you post them please
Answer:
C. 0.799 < 0.8Step-by-step explanation:
0.799 ________ 0.8
Choices:
0.799 > 0.8 0.799 = 0.8 0.799 < 0.8 0.8 < 0.799Comparing this two, compare 0.799 and 0.800 and if you ignore the decimals, it will be same as comparing 799 and 800.
We know 799 < 800, so apply the same here to get:
0.799 < 0.8Correct choice is C
2ja bag has 3 red and 6 green balls. Two
balls are drawn from the bag one after the
other without replacement. What's the
probability of having a green ball drawn
both times
Answers
Answer:
5/12
Step-by-step explanation:
Probability of drawing green ball on the first time=6/9=2/3
Probability of drawing green ball on the second time=5/8
Probability of having a green ball drawn
both times=(2/3)*(5/8)=10/24=5/12
A savings account with $1,000 has no other
deposits or withdrawals made. The account earns
2.5% annual interest t years after the $1,000 was
deposited. The function f(t) = 1,000(1.025)* can
be used to represent the balance, in dollars, in
the savings account.
Which amount is closest to f(5), the balance, in
dollars, in the account at the end of 5 years?
A 5,125
B 5,000
C 1,362
D 1,131
E 1,064
Answers
Answer:
A = P (1 + i)^n where the principal P equals amount A after n periods
P = 1000 and i = .025 / yr
A1 = A (1.025) = 1025
A2 = A1 (1.025) = A (1.025)^2 etc
A5 = A (1.025)^5 = 1000 * (1.025)^5 = 1131 after 5 years
Find the circumference of this circle
Answers
Answer:
81.64 cm
Step-by-step explanation:
c = 2(3.14) x 13
c = 6.28 x 13
c = 81.64
If a >b, then A must be positive number.
Answers
Step-by-step explanation:
NO,IT DEPENDS UPON SITUATIONS
IF B IS -5 THEN A CAN BE -2,-4,-3 OR 1 ,2,3,4,......
Please help! will mark brainliest.
only answer if you truly know
Find (ƒ – g)(x) where ƒ(x) = –x^2, g(x) = –(x + 4)^2
(ƒ – g)(x) = –8x – 16
(ƒ – g)(x) = –2x2 + 8x + 16
(ƒ – g)(x) = –2x2 – 8x – 16
(ƒ – g)(x) = 8x + 16
Answers
Answer:
D
Step-by-step explanation:
We are given the two functions:
[tex]f(x) = -x^2 \text{ and } g(x) = -(x+4)^2[/tex]
And we want to find:
[tex](f - g)(x)[/tex]
Recall that this is equivalent to:
[tex]= f(x) - g(x)[/tex]
Substitute:
[tex]\displaystyle = (-x^2) - (-(x + 4)^2)[/tex]
Simplify:
[tex]= -x^2 + (x+4)^2[/tex]
Perfect square trinomial:
[tex]= -x^2 + (x^2 + 8x + 16)[/tex]
Combine like terms. Therefore:
[tex]= 8x + 16[/tex]
In conclusion:
[tex](f - g)(x) = 8x + 16[/tex]
Our answer is D.
Find the value of x.
Answers
EXPLANATION: the sides are the same length, put x-1 equal to 7 and solve.
Simplify: (5x² – 3x + 7x) + (9x² + 2x² + 7x)
O 14x2 – x2 + 14x
O 14x2 + 13x
O 16x4 + x3
O 16x2 + 11x
O 16x2 – 11x
Answers
Answer:
16x^2+11x
Step-by-step explanation:
(5x² – 3x + 7x) + (9x² + 2x² + 7x)
Combine like terms
5x^2+9x^2+2x^2-3x+7x+7x
16x^2+11x
Jordan has $20 to share among three people Jordan types 20÷3 into his calculator and gets 6.666666667 where should Jordan round
Answers
Answer: to the nearest tenth i believe, 6.8
Step-by-step explanation:
The round off should be ones place.
What is Rounding Off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
Given:
20÷3
The resulting value is 6.666666667.
So, divide the money it should be round off to ones place to get a whole number which can make it easy to divide.
Hence, the round off should be ones place = 7
Learn more about rounding off here:
https://brainly.com/question/13391706
#SPJ4
Plz solve the following with steps (people who just come by without answering the question and taking the points may end up as ban)
Answers
Answer:
12) 3/5=534 students
13) 2151 kg
14)a)7.1 US$
b)total=10.2 US$
Step-by-step explanation:
12)students who had lunch=2/5*890
=356 students
students who did not have lunch=5/5-2/5
=3/5*890
=534 students
14)a)4pens=180 cents
2 books=5.3$
total=7.1 US$
b)5 pens=225 cnets
3 books=7.95 US$
total=10.2 US$
10)ate=1 over 8
remaining=8/8-1/8
=7/8
after six hours=7/8*2/5
=7 over 20
total ate=1/8+7/20
=14+5 over 40
=19 over 40
remaining=40 over 40 - 19 over 40
= 21 over 40
to dog=21/40 *1/4
=21 over 160
total=19 over 40 +21 over 160
=152+21 over 160
=173 over 160
Sorry I am stucked from here.
What is the fraction or mixed number and write in its simplest form.
3.8416
3.8416=—- (type an integer,proper fraction, or mixed number.)
Answers
Answer:
38416/10000
plss mark me brainliestt
Step-by-step explanation:
3.8416=38416/10000
What is the absolute value of 6.4?
Answers
Absolute value of 6.4 is 6.4 itself.
What is the number line?A horizontal line with evenly spaced numerical increments is called a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that if corresponds to, such as when graphing a point.
Since, Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.
Thus, the absolute value of a positive number is always positive
Therefore, the Absolute value of 6.4 is 6.4.
Learn more about number line here:
https://brainly.com/question/28625166
#SPJ1
write 1000 as a product using 10 as a factor
Answers
Answer:
-
Step-by-step explanation:
Answer:
The answer is right here for you!
Here it is:10x100
Determine the sum by suitable re arrangement .
a) 6254 + 1297 + 446 + 103 Ans:
b) 1983 + 647 + 217 + 353 2.
Answers
Answer:
a.8100
b.3200
Step-by-step explanation:
hope you're okay
Which describes the relationship between the distance and the difference?\
Answers
Answer:
The distance is always the opposite of the difference.The distance is the absolute value of the difference.
Hope it helps you.Have a nice day!!Answer:
The distance is the absolute value of the difference
Step-by-step explanation:
Sum is the when 2 or more numbers are added . Difference is the quantity at which 2 numbers differ i.e difference between 9 and 7 is 2. If you are talking about distance in reference to segment the distance ishow far apart two points are.
Assume that an investment of $7000 earns an APR of 6% compounded monthly for 18 months.
How much interest has been earned?
Answers
Answer: sorry I wasn’t able to tell u the exact number but check out this link it should help u
Step-by-step explanation:
https://www.wyzant.com/match
hi can someone help me with this problem!!
Answers
Answer:
f(x) | 5 | - 1 | - 3 | - 1 | 5 |
Step-by-step explanation:
So first you'll say "-2" into function
Replace x with negative 2
f(x) =2(-2) ^2 - 3
8 - 3 = 5
Secondly place "- 1" into function
Replace x with negative 1
f(x) = 2(-1)^2 - 3
2 - 3 = - 1
Thirdly place "0" into function
Replace x with 0
f(x) = 2(0)^2-3
0 - 3 = - 3
Then place "1" into function
Replace x with 1
f(x) = 2(1)^2 - 3
2 - 3 = - 1
Lastly place "2" into function
Replace x with 2
f(x) = 2(2)^2 - 3
8 - 3 = 5
{ hope this helps}
Natalie reads an average of 205 minutes a week. A year has 52 weeks.
How many minutes does Natalie read in a year?
Answers
Multiply weeks by minutes per week:
52 x 205 = 10,660 total minutes per year
Work Shown:
205 minutes: 1 week
52*(205 minutes) : 52*(1 week)
10660 minutes : 52 weeks
10660 minutes : 1 year
¾ + ½ =
Plz help me
I neeeeed help
Answers
answer
1.25Step-by-step explanation:
[tex] \frac{3}{4} + \frac{1}{2} [/tex]
[tex] \frac{3 \times 1 + 1 \times 2}{4} [/tex]
[tex] \frac{3 + 2}{4} [/tex]
[tex] \frac{5}{4} [/tex]
[tex]1.25[/tex]
I hope this will help you..please mark my answer as BRAINLIEST....The Runwell Company has 8 employees. Five of
the employees earn $12 an hour, two earn $9 an
hour and 1 earns $11 an hour. What is the average
amount per hour that the employees are paid?
Answers
Answer:
41
Step-by-step explanation:
i think i dont know that much
Help me with both of you, please, I'll give you more points
Answers
Answer:
1. 80 or D
2. 18 or A
Step-by-step explanation:
well if a triangle is 400 square inches that mean the area is 400 and we know that the formula for area of a triangle is 1/2bh. we can do 400 = 10h/2 and now we solve for h. so times by 2 to get 800 = 10h and divide by 10 to get 80 inches. now substitute 80 in the equation and you get 400. so the answer is true.
for the second one the area of a trapezoid is (b_1+b_2)/2 • h so we substitute again to get 342 = 38h/2. now we can times by 2 to get 684 and divide by 38 to get 18. or you can do 19h = 342 and get 18.
now if you substitute the 18 in the equation you end up with 342. so the answer is true
Pls pls pls helpp , im begging you , will mark the brainliest
Answers
c: 33 degrees (supplementary angles add to 180)
Answer:
angle f=147 degrees (alternate angles)
angle e= 33 degrees
Step-by-step explanation:
angle d =147 degrees
angle f=147 degrees (alternate angles)
angle e +angle d=180 (allied angles)
e+ 147 =180
e =180-147
e = 33 degrees
log 3x^3-log x^2= log 27 - log x
Answers
Answer:
First of all, this equation is defined on ]3,+∞[ because you need x+3>0 and x−3>0 at the same time or the log won't be defined.
The log function maps a sum into a product, hence log(x+3)+log(x−3)=27⇔log[(x+3)(x−3)]=log27.
You now apply the exponential function on both sides of the equation : log[(x+3)(x−3)]=log27⇔(x+3)(x−3)=27⇔x2−9=27⇔x2−36=30. This is a quadratic equation that has 2 real roots because Δ=−4⋅(−36)=144>0
You know apply the quadratic formula x=−b±√Δ2a with a=1 and b=0, hence the 2 solutions of this equation : x=±6
−6∉]3,+∞[ so we can't keep this one. The only solution is x=6.
Step-by-step explanation:
I THINK IT HELP U
Is that the right answer..?
Answers
9514 1404 393
Answer:
the correct answer is 47
Step-by-step explanation:
You are correct down to the part where you're adding the numbers.
50 -10 +7 = 40 +7 = 47
__
The sign of the 7 is positive. The minus sign only applies to 10.
_____
Additional comment
Here, 50 -10 is an easy sum. Sometimes it is easier to add all the positive numbers, then subtract the sum of the negative numbers. Here, that would look like ...
(50 +7) -(10) = 57 -10 = 47
PLS HELP SHOW ME HOW TO DO THIS
A polynomial function h(x) has a zero of x = 2 – 5i with a multiplicity of one. Certain values of h(x) are given in the following table.
x h(x)
–5 0
–2 3
–1 –1
1 2
4 0
7 6
10 5
If every real x-intercept of h(x) is shown in the table and each has a multiplicity of one, what is the degree of h(x)?
A. 2
B. 3
C. 4
D. 5
Answers
Using function concepts, it is found that the degree of the function is: 4, option C.
----------------------------------------
The x-intercepts of a function are the values of the function for which the output is zero.The degree of a function is the sum of the multiplicities of the x-intercepts of the function.If a function has a complex root, it means that the conjugate is also a root.----------------------------------------
When [tex]x = -5, h(x) = 0[/tex], thus, x = -5 is one x-intercept.When [tex]x = 4, h(x) = 0[/tex], thus, x = 4 is one x-intercept.There is also a x-intercept(zero) at [tex]x = 2 - 5i[/tex]. There will also be a x-intercept at the conjugate, which is [tex]x = 2 + 5i[/tex].Thus, there are 4 x-intercepts, all with multiplicity 1, which means that the degree of h(x) is 4, option C.A similar problem is given at https://brainly.com/question/10539060
I apologize for asking this again but I need help finding the complementary angles, ASAP
Answers
Answer:
2nd option is correct
∠AEF and ∠FED , ∠AEG and ∠CEG
Step-by-step explanation:
1st option is a supplementary and even 3rd and 4th options
a line passes through the points 3, 0 and 4, 1. what is the y-intercept of the line
Answers
9514 1404 393
Answer:
(0, -3)
Step-by-step explanation:
The slope is the same for any segment of the line. The slope from (0, y) to (3, 0) is the same as from (4, 1) to (3, 0).
Δy/Δx = (y -0)/(0 -3) = (1 -0)/(4 -3)
y = -3(1/1) = -3 . . . . . multiply by -3
The y-intercept is (0, -3).
Help!
Which expression is equivalent to—
Answers
Answer:
2a
Step-by-step explanation:
[tex] \frac{4a + 4}{2a} \times \frac{ {a}^{2} }{a + 1} [/tex]
➡️ [tex] \frac{4(a + 1)}{2} \times \frac{a}{a + 1} [/tex]
➡️ [tex] = 2a[/tex] ✅
Simplify the following expression and show your work in details please .
Answers
Answer:
-2
Step-by-step explanation:
First you distribute:
= 6t + (3) (1) + (3) (-2t) + -5
= 6t + 3 + -6t - 5
Then combine like terms
(6t + -6t) + 3 + -5)
= -2
Points A and B are represented on the number line.
А
B
-ht
-2
-1
0
1
2
Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.
Statement True or False?
IAI > IBI
True
False
IAI > 0
True
False
A>B
True
False
Answers
Answer:
Points A and B are represented on the number line.
А
B
-ht
-2
-1
0
1
2
Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.
Statement True or False?
IAI > IBI
False
IAI > 0
False
A>B
true
