Answer:
See below
Step-by-step explanation:
I assume you mean [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex]:
Holes: Since [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex] reduces to [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex], then there is a hole at [tex]x=0[/tex] as [tex]x[/tex] exists in both the numerator and denominator (however, its limit as x approaches 0 is 1/5).
Vertical Asymptotes: If we further reduce [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex] to [tex]f(x)=\frac{x-2}{(x+10)(x-1)}[/tex], then we see that there are vertical asymptotes at [tex]x=-10[/tex] and [tex]x=1[/tex]
Horizontal Asymptotes: As the degree of the numerator is less than the degree of the numerator ([tex]2<3[/tex]), then there is a horizontal asymptote at [tex]y=0[/tex]
im stumped on this question. please help:)
Answer:
(-2,6)
Step-by-step explanation:
the actual solution to the system of equations is (-(64/27),(56/9)).
however, we can estimate by looking at the graph. the solution is where both lines intersect, and that looks to be around (-2,6) as an approximation. hope this helps!
Need help with this one
Four times a number decreased by 5 is 67. Find
the number…
Answer:
288
Step-by-step explanation:
Do the reverse.
67+5= 72
72*4= 288.
hope this helped :)
34z+6= i dont know how to simplify it
Subtract: x2 + 2x + 1 – (x – 3)
Therefore, the answer is 3x - 2.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
FOR 20 POINTS r(x)=−7x−3 and q(x)=r(−3x).
What equation shows the correct rule for the function q?
q(x)=21x
q(x)=21x−3
q(x)=21x+9
q(x)=21x+3
Answer:
last one
Step-by-step explanation:
Answer: the correct answer is B the guy above me is wrong
Step-by-step explanation:
In May, Ali was charging
$20 for individual
basketball lessons and in
August started charging
$25. What percent did
she increase her prices?
Answer:
25%
Step-by-step explanation:
25 - 20 = 5
20/4 = 5
100 / 4 = 25
Answer:
20+25%=25% Ali Has increased 25%
In ΔMNO,
m
∠
M
=
(
6
x
+
1
)
∘
m∠M=(6x+1)
∘
,
m
∠
N
=
(
3
x
−
10
)
∘
m∠N=(3x−10)
∘
, and
m
∠
O
=
(
x
+
19
)
∘
m∠O=(x+19)
∘
. Find
m
∠
N
.
m∠N.
Answer:
Step-by-step explanation:
All the angles in a triangle add up to 180°
So you need to add up all your angles and set them equal to 180°
angleM + angleN + angleO=180
(6x+1) + (3x-10) + (x+19)= 180
We don't actually need all these parentheses; this is all just addition and subtraction.
6x+1+3x-10+x+19 =180
Add all the x terms together. Add all the constants (plain numbers) together.
10x + 10 =180
Subtract 10 from both sides
10x =170
Divide by 10.
x = 17
But you need one more step because if you reread the question, you are being asked for the measure of angle N, which is 3x - 10
3*17 - 10 =
51 - 10 =
41
The measure of angle N is 41°
55) Carl spent 25% of his money for some presents. What percent
did he have left?
Answer:
75%
Step-by-step explanation:
In total it was 100%, but he spent 25%.
100% - 25%=75%
solve similar triangles (advanced)
Answer:
x = 5
Step-by-step explanation:
Thales' theorem
[tex]\frac{9}{3} =\frac{15}{x}[/tex]
[tex]x=\frac{(15)(3)}{9} =\frac{45}{9} =5[/tex]
hope this helps
Calculate the volume of a regular octahedron whose edges are all 10 cm (do not use the formula to find the volume)
Answer:
V≈471.4cm³
Step-by-step explanation:
V =
[tex] \frac{1}{3} \times \sqrt{2} \times {a}^{3} [/tex]
V= 471.4
Answer:
Solution :Here we have given that the all edges if octahedron are 10 cm. We need to find the volume of regular octahedron.
[tex] \rule{300}{1.5}[/tex]
As we know that the formula of volume of octahedron is :
[tex]\longrightarrow{\pmb{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} {a}^{3}}}}[/tex]
Substituting all the given values in the formula to find the volume of regular octahedron :
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} {a}^{3}}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(10)}^{3}}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(10 \times 10 \times 10)}}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(1000)}}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times 1000}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{ \sqrt{2} }{3} \times 1000}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = 0.471404 \times 1000}}}[/tex]
[tex]{\longrightarrow{\sf{\underline{\underline{\red{Volume_{(Octahedron)} \approx 471.404 \: {cm}^{3}}}}}}}[/tex]
Hence, the volume of regular octahedron is 471.404 cm³.
[tex] \rule{300}{1.5}[/tex]
How about: 37×13×78. Simplify this, if you please.
Answer:
37518
Step-by-step explanation:
Clear your calculator. Enter 37, followed by ×, and then 13, followed by ×, and then 78 and the ENTER key. Result: 37518.
Which expressions are equivalent to -2(2h+10)+4h
What is the least positive integer which when divided by 5 gives a remainder of 4, when divided by 6 gives a remainder of 5, when divided by 7 gives a remainder of 6, when divided by 8 gives a remainder of 7, when divided by 9 gives a remainder of 8, and when divided by 10 gives a remainder of 9
Answer:
2519
Step-by-step explanation:
In each case, the remainder is 1 less than the divisor. This means the number of interest will be 1 less than the least common multiple of 5, 6, 7, 8, 9, 10.
The prime factors of these numbers are ...
5 = 5
6 = 2·3
7 = 7
8 = 2³
9 = 3²
10 = 2·5
The unique factors are 2, 3, 5, 7. When they are used to their highest powers, the resulting product is ...
2³·3²·5·7 = 2520
The number of interest is 1 less than this, so is 2519.
2519 is the least positive integer that will give the required remainders.
I need help on this question
x = -7
hope this helps!
On a field trip, there were 5 girls for every 8 boys how many girls attended the 130-student field trip?
Answer:
5 / 13 is the fraction of girls on the field trip
5/13 * 130 = 50 girls on the trip
Or 10 groups of 13 and each group of 13 had 5 girls giving a total of
5 * 10 = 50 girls
The Gonzales family has three children. On summer break they went to an amusement park they bought 3 child tickets for 18.50 and 2 adult tickets If they spent a total of 104.50 how much was the price of the adult ticket?
I need a complete equation and step by step explanation showing the numbers, not how you did it.
Answer:
= 24.5
Step-by-step explanation:
1 child ticket = 18.50 and they bought 3 so 18.50 x 3 = 55.5
55.5 + 2 adult tickets = 104.50
104.50 - 55.5 = 2 adult tickets
= 49 for 2 adult tickets
49/2 = 1 adult tickets
= 24.5
F(x) = 3x2+ 6x - 18 find f (10)
Answer:
f(10) = 342
Step-by-step explanation:
f(x) = 3x² + 6x - 18
f(10 = 3(10)² + 6(10) - 18
f(10) = 3(100) + 60 - 18
f(10) = 300 + 60 - 18
f(10) = 360 - 18
f(10) = 342
PLEASE ANSWER THIS !!!
m>17.2
What word sentence represents this inequality?
3: A number is less than 17.2
2: A number is greater than 17.2
1: A number is at most 17.2
Answer:
2. "a number is greater than 17.2"
Step-by-step explanation:
m > 17.2 can be read by saying "the number m is greater than the number 17.2" which also can be read as 2. "a number is greater than 17.2"
You are going to a private apple orchard to pick apples. There is a one-time entry fee that everyone pays, and you also pay a certain amount per pound of apples you pick. It costs $46 to buy 5 pounds of apples, and it costs $58 to buy 7 pounds of apples.
The one-time entry fee is $6 and the price per pound is $4.
In order to determine the one time entry fee and the cost to pick an apple per pound, two equations would be formed from the question:
x + 5y = 46 equation 1
x + 7y = 58 equation 2
Where:
x = one-time entry fee
y = price per pound
In order to determine the value of y, subtract equation 1 from 2
2y = 12
y = 12 / 2 = 6
In order to determine the value of x, substitute for y in equation 1:
x + 5(6) = 46
x + 30 = 46
x = 40 - 36
x = 4
For more information, please check: https://brainly.com/question/25802822
I’ll give 5 stars but you have to explain how you got 4.
Answer:
.
Step-by-step explanation:
I used the division, 36/9, which has the same end result. It is a similar equation, because of the numbers.
Answer:
4
Step-by-step explanation:
[tex]\frac{0.36}{0.09}[/tex]
Expand [tex]\frac{0.36}{0.09}[/tex] by multiplying both numerator and the denominator by 100.
= [tex]\frac{36}{9}[/tex]
Divide 36 by 9 to get 4.
[tex]4[/tex]
I hope this helps :)
HI CAN YOU PLEASE HELP ME
Answer:
11 C
12 D
13 B
14 E
15 A
Step-by-step explanation:
pure definition case. there is nothing to solve, and not really anything to explain in addition to the assigned texts.
The graph of part of linear function g is shown on the grid.
Which inequality best represents the domain of the part shown?
Answer:
F
Step-by-step explanation:
open circle at (-9,3) means the symbol must be either < or >
closed circle at (2,-6) means the symbol must be either ≤ or ≥
the x-values of each ordered pair above represent the domain {-9 and 2}
A scientist is working with 0.9 of gold wire. How long is the wire in millimeters?
Answer:
9000 is your answer to this question hope it helps
Step-by-step explanation:
9000 es su respuesta a esta pregunta espero que ayude
y = 6x - 4 when x = -7
Answer:
It's - 28
Step-by-step explanation:
6*-7=-42-4=-28
Answer:
y is -46
Step-by-step explanation:
y= 6x -4 ....means
y =6 *x -4......so replace x with -7
y = 6*-7 -4
y=-42 -4
y= -46
Trevor is fishing from a small boat. His fishing hook is 8 meters below him, and a fish is swimming at the same depth as the hook, 5 meters away. How far away is Trevor from the fish? If necessary, round to the nearest tenth.
A ray from Trevor to the fish is the hypotenuse side of a right triangle with
vertices at Trevor's position, the hook and the fish.
The distance from Trevor to the fish is approximately 9.4 meters.Reasons:
The distance of the hook below Trevor, y = 8 meters
The horizontal distance of the fish from the hook, x = 5 meters
Required:
The distance of the fish from Trevor
Solution:
A line drawn from Trevor's position to the fish, h, then to the hook, x, and
then to Trevor, y, forms a right triangle with the distance from Trevor to the
fish being the hypotenuse side, h.
Therefore, by Pythagorean theorem, we have;
h² = y² + x²Which gives;
h² = 8² + 5²
h = √(8² + 5²) = √(89 ≈ 9.4
The distance from Trevor to the fish given to the nearest tenth , d ≈ 9.4 meters
Learn more about Pythagorean theorem here:
https://brainly.com/question/18206420
(BRAINLIEST TO THE PERSON WHO HELPS ME WITH THESE FOUR QUESTIONS)
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable.
2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice.
3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote
4. If Kevin wrote 21 posts, how many did Cheryl write?
Answer:
Cheryl's posts + 7 posts =Kevin Posts
K-C=7 or C+7+K I use them because C is Cheryl and K is Kevin
Operation=subtraction or addition because it could be K-C=7 or C+7+K
Cheryl wrote K-7=C posts
The graph of a function is shown on the grid.
Answer:
B (0, -2)
Step-by-step explanation:
Since the line intercepts at -2 on the y-axis, -2 is the y-intercept.
what's the difference between (F(x))^2 and F^2(x) ?
Answer:
f^2(x) means f(f(x)). [f(x)]^2 means the square of the function.
Step-by-step explanation:
I am sorry to say so, but the other answer is rubbish.
there is no difference.
both mean the same thing : f(x) × f(x).
f(f(x)) is exactly what that expresses (f of f(x)).
another way of writing for this would be (f○f)(x).
but never ever f²(x).
please ignore the other answer.
(7g+2)(5g+4)=
help please !
Answer:
35g^2+38g+8
Step-by-step explanation:
(7g+2)(5g+4)
35g^2+10g+28g+8
35g^2+38g+8