Answer:
determine the limit as x → ±∞
Step-by-step explanation:
If the function is a rational function, the horizontal asymptote will be the value of the ratio of the highest-degree terms in the numerator and denominator.
If the function is an exponential function, the horizontal asymptote will be the function value when the exponential factor is zero.
In the general case, you will need to determine the limit(s) of the function as the magnitude of the value of the independent variable gets large (tends toward infinity).
Answer:
To find horizontal asymptotes: If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0). If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.
Step-by-step explanation:
I need help with number 3 plzzz fast
Step-by-step explanation:
the domain is the interval of the x (input) values.
in other words, is g(x) invalid for certain x ?
it does not look like it. it looks like g(x) is valid for every possible value of x from -infinite to +infinite.
the range is the interval of possible y (functional) values.
and that is clearly valid for every y between -1 and +infinity.
The quotient of a number and -7, decreased by 2, is 10
Answer:
Let the required number be x
The quotient of a number and -7, decreased by 2, is 10
According to the above problem, we get
[tex] \frac{x}{( -7)} - 2 = 10 \\ \frac{x}{( - 7)} = 10 + 2 \\ \frac{x}{( - 7)} = 12 \\ x = ( - 7) \times 12 \\ \boxed{x = - 84}[/tex]
Therefore, the required number is -84.
-84 is the right answer.Simplify the expression by using the properties of rational exponents. Write the final answer using positive exponents only.
Answer:
A. [tex] {h}^{7} [/tex]
Step-by-step explanation:
[tex] {h}^{ \frac{7}{3} } \times {h}^{ \frac{14}{3} } [/tex]
[tex] {h}^{ \frac{7}{3} + \frac{14}{3} } = \frac{7}{3} + \frac{14}{3} [/tex]
[tex] \frac{7 + 14}{3 } = \frac{21}{3} [/tex]
[tex] 21÷3 = 7[/tex]
[tex] = {h}^{7} [/tex]
a community center is trying to raise $1680 to purchase exercise equipment. the center is hoping to receive equal contributions from members of the community. write and algebraic expression to determine how much will be needed from each person if n people contribute. Then evaluate the expression for 10, 12, 14, or 16 people.
Answer:
Required expression would be:
c(n) = 1680/n, where c(n) - is the contribution amount, n- number of contributors.For different values of n we get:
c(10) = 1680/10 = 168c(12) = 1680/12 = 140c(14) = 1680/14 = 120c(16) = 1680/16 = 105Lets find f(n) formula
[tex]\boxed{\sf f(n)=\dfrac{1680}{n}}[/tex]
Now
[tex]\\ \sf\longmapsto f(10)=\dfrac{1680}{10}=168[/tex]
[tex]\\ \sf\longmapsto f(12)=\dfrac{1680}{12}=140[/tex]
[tex]\\ \sf\longmapsto f(16)=\dfrac{1680}{16}=105[/tex]
[tex]\\ \sf\longmapsto f(14)=\dfrac{1680}{14}=120[/tex]
Automobile license plates in Massachusetts usually consists of 3 digits followed by 3 letters. The first digits is never zero. How many different plates of this type could be made
Answer:
Step-by-step explanation:
There are 10 possible digits from 0 to 9.
Since the first number cannot be 1 there are 9 possibilities to choose from.
Also there are 26 possible letters.
So the number of plates are
9 x 10 x 10 x 26 x 26 x 26
Plss help I need this for my algebra class and have no idea what to do
Answer:
30t if t ≤ 2
25(t-2) + 60 if 2 < t ≤ 6
160 if 6 < t ≤ 10
Step-by-step explanation:
Six less than four times a number is twenty-two. Find the number
Answer:
6-2×n=22
2×n=22
Since it is multiplication we have to take opposite side which is Division
So We divide both sides with 2
2÷2×n=22÷2
n=11
Evaluate 4a for a = 5 . Express your answer in simplest form.
20
22
45
20
[tex]\\ \sf\longmapsto 4(5\dfrac{2}{3})[/tex]
[tex]\\ \sf\longmapsto 4\times \dfrac{17}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{68}{3}[/tex]
[tex]\\ \sf\longmapsto 22\dfrac{2}{3}[/tex]
Answer: [tex]\large \boldsymbol {\sf 22\dfrac{2}{3} }[/tex]
Step-by-step explanation:
[tex]\displaystyle \large \boldsymbol {} \sf Find \ \ 4 a \ \ ; \ \ if \ a=5\frac{2}{3} \\\\1-st \ method \\\\ 5\frac{2}{3} =5+\frac{2}{3} \ \ then \\\\ 4\cdot \bigg(5+\frac{2}{3} \bigg)=4\cdot 5+ \frac{4\cdot 2}{3} =20+\frac{8}{3} =20+2\frac{2}{3} =\boldsymbol {\sf 22 \frac{2}{3} } \\\\\\ 2-nd \ \ method \\\\ 5\frac{2}{3} =\frac{5\cdot 3+2}{3} =\frac{17}{3} \\\\\\ 4\cdot \bigg( \frac{17}{3} \bigg) =\frac{4\cdot 17}{3} =\frac{68}{3} =\boldsymbol {\sf 22 \frac{2}{3}}[/tex]
Given: F(x) = 3x^2+ 1, G(x) = 2x - 3, H(x) = x
F(x) + G(x) =
Answer:
(FoG) -1 (x) = x/5 + 26/5
Step-by-step explanation:
math integers....represent the following on number line(a) -5 (b)4
Step-by-step explanation:
Please refer to the picture above.
A truck driver drove 48 miles in 45 minutes. At this rate, how many miles can the truck driver drive in one hour?
__ miles in one hour
Answer:
I am almost positive that the answer is 64 miles in one hour.
Step-by-step explanation:
In an hour the truck driver will cover the distance of 64 miles.
What is speed?Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. The speed is a scalar quantity and does not require direction to represent it.
Given that a truck driver drove 48 miles in 45 minutes. The distance covered by the truck in an hour will be calculated as below:-
45 minutes ⇒ 48 miles
1 minute ⇒ 48 / 45
60 minute ⇒ ( 48 x 60 ) / 45
1 hour ⇒ 64 miles
Therefore, in an hour the truck driver will cover the distance of 64 miles.
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24 19/20 write in word form
twenty four and nineteen twentieths
what is the arithmetic sequence for 128,96,64,32 fraction form
--------------------
4n-1Step-by-step explanation:
128 and r = 3 over 4 (127,) . (3 over 4) apply the product rule to 3 over 4 and I don't kno the rest but that's itFind the distance between -15 and 12 on a number line.
Answer:
27
Step-by-step explanation:
|x-15|=12
Referring to the figure, is the transformation a
a. reflection
b. not a reflection
Answer:
reflection
Step-by-step explanation:
a.reflection
3.568409 rounded to the nearest hundredth
The equation 2(5 + 7) = (2•5) + (2•7) illustrates what
property?
A) associative property
B) commutative property
C) distributive property
D) identity property
Answer:
It's C) distributive property
Step-by-step explanation:
You are distributing 2 to 5 and 7
Please help me answer this question
Answer:
Step-by-step explanation:
ten students are chosen from a statistics class of 300 let x be the number who got an a in the class
A calculator which was bought for Rs.450,was sold at Rs.495.What was the gain percent?
Answer:
10%
Step-by-step explanation:
495-450=45
45x100/450=10
Answer:
Profit made by reselling = 495 - 450 = ₹45
So, percentage =
[tex] \frac{45}{450} \times 100 = 10\%[/tex]
So, gain percentage is 10%
PLEASE MARK ME BRAINLIEST.How does the value of the digit 2 in 2000 compare with the value of the digit 2 in 200
Answer:
The value of 2 in 2000 is 10 times greater than the value of 2 in 200
Step-by-step explanation:
from the value of 2 in 200 to reach 2000, it takes 10 times as much because we're moving only one place (which is the thousand's digit).
Find the distance between the pair of points. E(9,-4) F(-3,5)
Answer:
5
Step-by-step explanation:
√
(
−
3
−
9
)
2
+
(
5
−
−
4
)
2
=
√
(
−
12
)
2
+
9
2
=
√
144
+
81
=
√
225
= 15
Distance between points (9, -4) and (-3, 5) is 15
Suppose g(x) = f(x - 1) - 5. Which statement best compares the graph of g(x) with the graph of f(x)
Answer:
g will be shifted down 5 units and right 1 unit on the x- y plane
What is the best estimate of the sum of $14.30, $143.08, and $19.74?
A. about $170.00
B. about $187.12
C. about $190.00
D. about $200.00
HELP !!!
What is the center of the circle? A. (-2,0) B. (3,-1) C. (-3,4) D. (2,-5)
Answer:
3, -1
Step-by-step explanation:
because that is the point that is at the center :)
Theodore invests a total of $19,500 in two accounts paying 8% and 15% simple interest, respectively. How much was invested in each account if, after one year, the total interest was $2,400.00
A) Enter an equation that uses the information as it is given that can be used to solve this problem. Use x as your variable to represent the amount of money invested in the account paying 8% simple interest.
Answer:
[tex]x+y=19500,\:0.08x+0.15y=2400\quad :\quad x=7500,\:y=12000[/tex]
Step-by-step explanation:
x + y = 19500
.08x + .15y = 2400
Jorge is confused about how the teacher decided to set up the graph. “Why is it a 1st-quadrant graph instead of a 4-quadrant graph?”
Answer:
if the first and fourth are swapped, then the teacher graphed x, -y vs x,y
Step-by-step explanation:
Algebra 1 Prerequisites
8.EE.3.7a
What is the solution to the equatlon 2(3x + 1) + 2x = 8x + 1?
A. 1
B. 2
C. no solution
D. all real numbers
3x + y = 5 + 5x, for x
ax-by=c I need help solving this problem
the cost of purchasing a fishing rod and reel if the rod costs $7 more than twice the cost of the reel
Answer:r+(2r+7)
Step-by-step explanation:
