Answers
Answer:
[tex] y = 0 [/tex]
Step-by-step explanation:
To find the given asymptote of the given function, [tex] f(x) = \frac{x^2 - 2x + 1}{x^3 + x - 7} [/tex], first, compare the degrees of the lead term of the polynomial of the numerator and that of the denominator.
The numerator has a 2nd degree polynomial (x²).
The denominator has a 3rd degree polynomial (x³).
The polynomial of the numerator has a lower degree compared to the denominator, therefore, the horizontal asymptote is y = 0.
Related Questions
Which of these is a trinomial?
Answers
Answer:
D
Step-by-step explanation:
Because trinomial is a expression which consists of three terms
D is the trinomal
On the graph of the equation 3x + 2y = 18, what is the value of the y-intercept? (1 point) a −9 b −6 c 6 d 9
Answers
the y-intercept=6.
because y must not be greater than 6
Please I need help!!!!
10. Examine the following solution to a linear equation. Do you see a mistake? Identify the first line of the solution that is incorrect (if any). Original Equation: 30x = 23(1 + 3) + 12x + 22
A. no mistakes
B. step 5
C. step 3
D. step 6
E. step 1
F. step 4
Answers
Answer:
x = 19/3
Step-by-step explanation:
Solve for x:
30 x = 12 x + 22 + 23 (1 + 3)
Hint: | Evaluate 1 + 3.
1 + 3 = 4:
30 x = 12 x + 22 + 4 23
Hint: | Multiply 23 and 4 together.
23×4 = 92:
30 x = 12 x + 22 + 92
Hint: | Group like terms in 12 x + 22 + 92.
Grouping like terms, 12 x + 22 + 92 = 12 x + (92 + 22):
30 x = 12 x + (92 + 22)
Hint: | Evaluate 92 + 22.
92 + 22 = 114:
30 x = 12 x + 114
Hint: | Move terms with x to the left hand side.
Subtract 12 x from both sides:
30 x - 12 x = (12 x - 12 x) + 114
Hint: | Combine like terms in 30 x - 12 x.
30 x - 12 x = 18 x:
18 x = (12 x - 12 x) + 114
Hint: | Look for the difference of two identical terms.
12 x - 12 x = 0:
18 x = 114
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 18 x = 114 by 18:
(18 x)/18 = 114/18
Hint: | Any nonzero number divided by itself is one.
18/18 = 1:
x = 114/18
Hint: | Reduce 114/18 to lowest terms. Start by finding the GCD of 114 and 18.
The gcd of 114 and 18 is 6, so 114/18 = (6×19)/(6×3) = 6/6×19/3 = 19/3:
Answer: x = 19/3
can someone please help me.
Answers
Answer:
Angle NKO and Angle OKL are adjacent and complementary
Step-by-step explanation:
Adjacent - yes - they have the common vertex K and the common side KO.
Vertical - no - vertical angles are created by two intersecting lines, and angles NKO and OKL are not.
Complementary - yes - since it's given to us that JL and MN are perpendicular, that means that they intersect at 90 degree angles. This means that angles NKO and OKL add up to 90 degrees, and because complementary angles are angles that add up to 90 degrees, NKO and OKL are complementary.
Supplementary - no - supplementary angles are angles that add up to 180 degrees, and since NKO and OKL add up to 90 degrees, they can't be supplementary.
Linear Pair - no - a linear pair is a pair of angles that are adjacent and supplementary. Angles NKO and OKL are adjacent, but since they're not supplementary they can't be a linear pair.
The radioactive substance cesium-137 has a half-life of 30 years. The amount A (t) (in grams) of a sample of cesium-137 remaining after t years is given by the
following exponential function.
t
30
A (t) =621
Answers
Answer:
391, and 98
Step-by-step explanation:
Plug in 20 where t appears:
621 (0.5)^20/30 = 621 x 0.62996 = 391.205
Rounded to 391
Plug in 80 where t appears:
621 (0.5)^80/30 = 621 x 0.6667 = 97.8
Rounded to 98
1. Michael had to pay sales tax on the bike. At 6%, how much sales tax did he pay?
Answers
Answer:
*just rant 6%×273.95 in the calculator.
Step-by-step explanation:
it says there's a borrow, which is a loan. is it plus tax and loan interest? (I invest in real estate so I understand monthly interest.)
What is the surface area of each triangular prism?
Answers
the surface area of the above triangular prism is 156 square inches.
Step-by-step explanation:
multiply the sum of the triangle sides by the height of the prism and add the values together for the answer, remembering to include the correct unit of measurement.
Tutu and Pete go hiking. Tutu brings 7/10 liter of water. Pete brings 500 millimeters of water. How many more millimeters of water did tutu bring than Pete?
Answers
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
1 liter of water equals 1000 milliliters.
To find who has more water, you need to convert (the unit) of each person to either liters or milliliters.
Since it asks for millimeters, I'm going to convert Tutu's 7/10 liters to milliliters. Since there are 1000 milliliters in every liter, you have to multiply 7/10 by 1000. 7/10 multiplied by 1000 is 700.
So Pete has 500 milliliters of water and Tutu has 700 milliliters of water.
Now you need to find the difference of 700 and 500 by subtracting.
700-500=200
Tutu bought 200 more milliliters of water than Pete.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Which of the following shows the rational numbers in order from least to greatest?
Answers
Answer:
H
Step-by-step explanation:
Becuase if you convert all into decimals you will see.
Х
z
Y
Which of these can all be found on the figure?
Answers
Answer:
x
Step-by-step explanation:
the figure always contains an x!;)
How can you tell which decimal is greater 0.0009 or 0.009
Answers
Answer:
0.009
Step-by-step explanation:
you can tell by how many 0 are in front
Answer:
0.009
Step-by-step explanation:
Method 1
we say that they are equal 0.0009=0.009
we can multiply by 10000 both sides
and get
9=90
and that clearly is not true we notice that the right one is the biggest
Method 2
An easy method for this problem
just count how many zeroes are there after the decimal point
the one that has less is the biggest
Solve: 16x2 − 81 = 0
Answers
16 x 2 - 81
32-81
= -49
Answer:
x =±9/4
Step-by-step explanation:
16x^2 − 81 = 0
Add 81 to each side
16x^2 − 81 +81 = 81
16 x^2 =18
Divide by 16
x^2 =81/16
Take the square root of each side
sqrt(x^2) = sqrt(81/16)
x =±9/4
Write the quadratic equation in standard form and then choose the value of "b."
(2x - 1)(x + 5) = 0
O
10
011
pllllllls help me
Answers
[tex](2x-1)(x+5)=2x^2+9x-5=0[/tex].
The quadratic equation has a general form of
[tex]ax^2+bx+c=0[/tex].
So your "b" is 9.
Hope this helps.
Answer: Answer is in the steps
Step-by-step explanation:
(2x-1)(x+5) = 0 First expand the left side by apply the distributive property twice.
(2x -1)(x+5) =0
x(2x -1) = 2x^2 -1x
5(2x -1) = 10x -5
Now rewrite them all together
2x^2 - 1x +10x -5 = 0 combine like terms on the left side.
[tex]2x^{2}[/tex] + 9x -5 = 0 a is the first leading coefficient,b is the second leading coefficient, and c is the constant.
So in this case, the value of b is 9.
If x = 2 and y = -3, then what is -xy2
Answers
Answer:
-18
Step-by-step explanation:
Step 1: Substitute your x and y values in
[tex]-(2)(-3)^{2} \\(-2)9\\-18[/tex]
Therefore the answer when x = 2 and y = 3 is -18
Apply the distributive property to simplify the expression. 8(3x − 6)
Answers
Answer:
[tex]\huge \boxed{24x-48}[/tex]
Step-by-step explanation:
The expression is given:
[tex]8(3x-6)[/tex]
Applying the distributive property.
[tex]8(3x)+8(-6)[/tex]
Simplifying the expression.
[tex]24x+-48[/tex]
Based on the similar triangles shown below, Theodore claims that ∆TUV is transformed to ∆WXY with a scale factor of 32. Is Theodore correct? Yes, the triangles are similar with a scale factor of 32. No, the triangles are similar with a scale factor of 21. No, the triangles are similar with a scale factor of 23. No, the triangles are similar with a scale factor of 43.
Answers
Answer:
No, the triangles are similar with a scale factor of ⅔
Step-by-step explanation:
Given that ∆TUV was transformed to ∆WXY, it means the original lengths of ∆TUV were multiplied by a scale factor that reduced the lengths of ∆TUV to get the lengths of ∆WXY.
AA scale factor of ³/2 will increase the lengths rather than reduce it.
Therefore, the scale factor that was used was ⅔.
Thus, ⅔ of UT will give you the size of XW. Check it out below:
UT = 12, therefore, ⅔*12 = 8.
How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked? Translate into expression, I will award brainiest!
Answers
Answer:
Total distance traveled= 21h miles
Step-by-step explanation:
You biked at 10 mph for h hours
Speed= 10 mpg
Time = h hours
Distance covered= speed*time
Distance covered= 10h miles
walked at 3mph for twice as long as I biked,
Speed= 3 mph
Time= twice as long as biked
Time= 2(h) hours
Distance= 2h*3
Distance= 6h miles
ran at 10mph for one quarter as long as I walked
Speed= 10 mph
Time= 1/4 of(2h)
Time= 1/2h hours
Distance= 1/2h*10
Distance= 5h miles
Total distance traveled
= 10h miles +6h miles+ 5h miles
Total distance traveled= 21h miles
How is the product of 2 and –5 shown on a number line? A number line going from negative 10 to positive 10. An arrow goes from 0 to 5 and from 5 to 10. A number line going from negative 10 to positive 10. An arrow goes from 10 to 5 and from 5 to 0. A number line going from negative 10 to positive 10. An arrow goes from negative 10 to negative 5 and from negative 5 to 0. A number line going from negative 10 to positive 10. An arrow goes from 0 to negative 5 and from negative 5 to negative 10.
Answers
Answer:
D
Step-by-step explanation:
It starts at 0 and goes in the negative direction, whereas the others don't
Answer:
D
Step-by-step explanation:
Jaime Bailey is chair of a department at a college. Jaime has a budget in which
1.4 of the money is for photocopying, 2/5 of the money is for computer-related expenses, and the rest of the money is for student tutors in the foreign languages lab. What fraction of Jaime's budget is for student tutors?
Answers
Answer:
Step-by-step explanation:
7/20
Represent the total budget amount by b.
Then from this b, subtract b/4 and then from the result subtract 2/5:
b - b/4 = (3/4)b; now from this (3/4)b subtract (2/5)b:
Converting these proper fractions to decimal fractions, we get:
0.75b - 0.40b = 0.35b
This tells us that 35/100, or 7/20, of Jaime's budget is for tutors.
what is 5/8 times 5/6
Answers
Answer:
25/48
Step-by-step explanation:
You want to multiply the numerators and the denominators
[tex]5 * 5 = 25\\\\6 * 8 = 48\\\\25/48[/tex]
Answer:25/48
Step-by-step explanation:
Solve the equation. 7b -0.5 = 8b
Answers
Answer:
b = -0.5
Step-by-step explanation:
7b -0.5 = 8b
7b - 0.5 + 0.5 = 8b +0.5
7b -8b = 8b + 0.5 -8b
-x = 0.5
x = -0.5
Suppose that the functions and are defined as follows.
Answers
Answer: (q°r)(4) = 30
(r°q)(4) = 36
Step-by-step explanation:
First, when we have two functions f(x) and g(x), we have that:
(g°f)(x) = g(f(x))
So we are actually evaluating one function with other function.
Now, solving the problem:
q(x) = 2x - 2
r(x) = x^2
we have:
(q°r)(x) = q(r(x)) = 2*r(x) - 2 = 2*(x^2) - 2
(r°q)(x) = r(q(x)) = q(x)^2 = (2*x - 2)^2
Then:
(q°r)(4) = q(r(4)) = 2*r(4) - 2 = 2*(4^2) - 2 = 2*16 - 2 = 32 - 2 = 30.
(r°q)(4) = r(q(4)) = q(4)^2 = (2*4 - 2)^2 = 6^2 = 36.
What is the slope of the line?
Answers
Answer:
2/3
Step-by-step explanation:
Choose two points from the graph; count how far one point is away from the other. Simplify if needed.
PLEASE HELP ME! A) 5/6 B) 17/30 C) 8/15 D) 3/4
Answers
Answer:
[tex] \frac{17}{30} [/tex]
Step-by-step explanation:
[tex] \frac{2b + 4h}{bh} = \frac{2(10) + 4(12)}{10 \times 12} = \frac{20 + 48}{120} = \frac{68}{120} = \frac{34}{60} = \frac{17}{30}[/tex]
Hope this helps ;) ❤❤❤
Answer:
B) 17/30
Step-by-step explanation:
The expression is given to you:
(2b + 4h)/(bh)
The measurements for the variables are also given to you:
b = 10 ft.
h = 12 ft.
Plug in the corresponding numbers to the corresponding variables:
(2(10) + 4(12))/(10 * 12)
Solve. Remember to follow PEMDAS. First, solve for the multiplications within the parenthesis:
((2 * 10) + (4 * 12))/(10 * 12)
((20) + (48))/(120)
Next, Add 20 with 48:
(20 + 48)/120 = (68)/120
Then, divide:
68/120 = 17/30
B) 17/30 is your answer.
~
H varies directly as L. H=18 when L=60, determine H when L=20
Answers
Answer:
6
Step-by-step explanation:
H is proportionate to L, meaning that they can be represented as a ratio, [tex]\frac{h}{l}[/tex].
[tex]\frac{18}{60}[/tex]
If we know that L in the same ratio is 20, we can set these ratio's equal to each other to find H.
[tex]\frac{18}{60} = \frac{x}{20}[/tex].
To find x, we can cross multiply.
[tex]20\cdot18=360\\\\360\div60=6[/tex]
So [tex]x=6[/tex], meaning that when [tex]L=20[/tex], [tex]H=6[/tex].
Hope this helped!
Answer:
H varies directly as L.
H=KL.
18=K60.
K=18/60=0.3.
H=0.3L
when H=?,L=20. then.
H=0.3×20=6.
5x - 8 + {6x – [3(x + 8) + 6]} = 6(x + 5)
Answers
Answer:
x=28
Step-by-step explanation:
PEMDAS
parenthesis first...
5x-8+(6x-3x-24+6)=6x+30 *remember to distribute the negative sign*
5x-8+(3x-18)=6x+30
8x-26=6x+30
2x=56
x=28
On a number line, suppose point E coordinate of -2, and EG=12. what are the possible coordinates of point G?
Answers
Answer:
-14 or 10.
Step-by-step explanation:
It is given that, on a number line, suppose point E coordinate of -2, and EG=12.
We need to find the possible coordinates of point G.
Since EG=12 it means point distance between point E and G is 12 units, therefore point G must be on 12 units left or write from point E.
If point G is 12 units left of E, then
G=-2-12=-14
If point G is 12 units right of E, then
G=-2+12=10
Therefore, the possible coordinates of point G are -14 or 10.
Solve x + x + 2 + 2x = -2. 1 -1 0 -2
Answers
Answer:x=-4+0.1/4
Step-by-step explanation:x+x+2+2x=-2.1-10-2
We move all terms to the left:
x+x+2+2x-(-2.1-10-2)=0
We add all the numbers together, and all the variables
x+x+2x+2-(-14.1)=0
We add all the numbers together, and all the variables
4x+16.1=0
We move all terms containing x to the left, all other terms to the right
4x=-16.1
x=-16.1/4
x=-4+0.1/4
Answer:
-1
Step-by-step explanation:
x + x + 2 + 2x = -24x +2 = -24x = -2 -24x = -4x= -4/4x= -1Answer is - 1
What is the value of u?
Answers
17% of the speech team is also on the debate team rewrite this percent as a fraction in simplest form
Answers
Answer:
[tex]\frac{17}{100}[/tex]
Step-by-step explanation:
A percentage is basically another way of writing a fraction.
If we have a percentage, x%, then it's fraction will be [tex]\frac{x}{100}[/tex].
Since 17 is the percentage here, the fraction is [tex]\frac{17}{100}[/tex].
This can't be simplified any further as 17 is a prime number.
Hope this helped!