The process to find the asymptote and zeros of the function is explained below.
The term asymptote is referred as a horizontal/vertical/slant line to which the curve is very close to but the curve doesn't touch the asymptote.
Here we need to find the way to identify the asymptotes and zeros of a function.
The process of finding the asymptote is defined as,
If you want to find the horizontal asymptotes, then apply the limit x→∞ or x→ -∞.
Where as if you want to find the vertical asymptotes, then apply the limit y→∞ or y→ -∞.
Finally, if you want to find the slant asymptote, then divide the numerator by the denominator.
The process of finding the zero of the function is defined as the way to find the values of x where f(x) = 0.
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If 2x• 3x +(2•3 )x +6x= 648, find x.
Answer:
x = -1 ± √109
Step-by-step explanation:
2x • 3x + (2 • 3)x + 6x = 648
According to PEMDAS (parentheses/exponents | multiplication/division | addition/subtraction), we should solve the parentheses first.
(2 • 3) = 6
Now we have:
2x • 3x + (6)x + 6x = 648
Now let's multiply.
2x • 3x = 6x²
6 • x = 6x
Now we have.
6x² + 6x + 6x = 648
Combine like terms.
6x² + 12x = 648
Let's factor out a 6.
6(x² + 2x) = 648
Divide both sides by 6.
x² + 2x = 108
Let's use completing the square.
Our equation is in a² + bx = c form.
Divide b by 2.
2/2 = 1
Then square it.
1² = 1
Add 1 to both sides.
x² + 2x + 1 = 108 + 1
Simplify.
x² + 2x + 1 = 109
Now we want to factor the left side. A shortcut is just to use b/2.
(x + 1)² = 109
Take the square root of both sides.
x + 1 = ±√109
The square root is as simplified as possible.
Subtract 1 from both sides.
x = -1 ± √109
Hope this helps!
BRAINIEST TO WHOEVER RIGHT
Answer:
118, 310, 232, 196, 428
Step-by-step explanation:
-118 students HAVE set academic goals (64+54)
-310 students HAVE NOT set academic goals (168+142)
-232 MALES (64+168)
-196 FEMALES (54+142)
-428 WERE SURVEYED (196+232)
Find the centre focus,vertex,directrix and axis of each parabola and sketch the graph? (x-1)² = y+2
Answer:
Step-by-step explanation:
The equation for a parabola is of the form y = ax^2 + bx + c, where a, b, and c are constants. The graph of a parabola is a U-shaped curve that is symmetrical about a line called the axis of symmetry.
In the equation (x-1)^2 = y+2, we can rewrite it as y = (x-1)^2 - 2. This is the standard form of a parabola with a = 1, b = 0, and c = -2.
The vertex of the parabola is the point on the graph where the parabola reaches its highest or lowest point. For a parabola in standard form, the vertex is always of the form (h,k), where h and k are the values of x and y, respectively, at the vertex. The vertex of this parabola is (1,-2).
The axis of symmetry of the parabola is a line that divides the parabola into two mirror images. For a parabola in standard form, the axis of symmetry is always the line x = h, where h is the value of x at the vertex. The axis of symmetry of this parabola is the line x = 1.
The directrix of a parabola is a line that is used to define the parabola. For a parabola in standard form, the directrix is always the line y = k + p, where k and p are constants and p is the distance from the vertex to the directrix. The directrix of this parabola is the line y = -2 + p, where p is the distance from the vertex to the directrix.
The focus of a parabola is a point on the axis of symmetry that is used to define the parabola. For a parabola in standard form, the focus is always the point F(h,k+p), where h and k are the values of x and y, respectively, at the vertex, and p is the distance from the vertex to the directrix. The focus of this parabola is F(1,-2+p), where p is the distance from the vertex to the directrix.
To sketch the graph of this parabola, we can start by plotting the vertex at (1,-2). Then we can draw the axis of symmetry, which is the line x = 1. Next, we can choose a value for p and draw the directrix y = -2 + p. Finally, we can use the vertex and focus to plot points on either side of the axis of symmetry, and connect these points to form the U-shaped curve of the parabola.
[asy]
unit size(1cm);
real p = 1.5;
pair F, V;
F = (1,-2+p);
V = (1,-2);
draw((-2,0)--(4,0));
draw((0,-4)--(0,4));
draw((-2,V.y)--(4,V.y),dashed);
draw((F.x,p)--(F.x,-4),dashed);
label("$x$", (4,0), E);
label("$y$", (0,4), N);
label("$y = (x - 1)^2 - 2$", (4,-3), E);
a dot("$F$", F, NW);
a dot("$V$", V, S);
label
Colin invests £3300 into his bank account. He receives 3% per year compound interest. How much will Colin have after 4 years? Give your answer to the nearest penny where appropriate
Answer:
Below
Step-by-step explanation:
3% = .03 in decimal 4 (yearly) periods
The effective interest and deposit amount after 3 years compounded yearly will be
3300 (1 +.03)^4 = £ 3714.18
3) Terri and her friends fly 2234 miles to Spain for college. It takes them 9 hours to get there.
How many miles did they travel per hour? Show your thinking.
Answer:
approximately 248 miles per hour if we are taking average speed
Step-by-step explanation:
Which point represents a number whose absolute value is 4?
please no links or files.
and if you were able to, could you please explain how? I’m not good at this :,)
Answer:
N
-4s absolute value or distance from 0 is 4
Step-by-step explanation:
as a example -8s absolute value is 8 , 10s absolute value is 10 basically just make the number positive then that is the absolute value.
Answer:
N
Step-by-step explanation:
how to explain but if any number is given in - the answer will be that numbers +(sorry if this doesn't make sense
Find the volume of the cone. Round your answer to the nearest tenth.
3 m
6 m
The volume of the cone is about
56.55
If you round that up it would be:
56.6
-Have a good day.
Erin has 4 cards, one with the letter A, one with the letter B, one with the letter C, and one with the letter D. She places the cards in a row in random order. What is the probability that either the words BAD or CAB will appear as part of the row? Enter your answer as a percent, to the nearest tenth of a percent, like this: 42.5%
The probability that either the words BAD or CAB will appear as part of the row is 16.7%
How to determine the probability that either the words BAD or CAB?We have 4 places where we can put the cards.
Let's count the number of possible outcomes for each place.
In the first place, we can put one of 4 cards.
In the second place, we can put one of 3 cards (because one card was taken in the first place).
In the third place, we can put one of 2 cards
In the last place, we can put one of one cards.
The total number of different combinations is the product between the number of options for each place, then we have:
4×3×2×1 = 24
Now we need to count the number of combinations such that the words BAD or CAB appear. We have:
BADC
CBAD
CABD
DCAB
That is 4 out of 24.
Thus, the probability that either the words BAD or CAB will appear as part of the row will be:
P(BAD or CAB) = 4/24 = 16.7%
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The probability is 16.7%
x + 2y = -18
-8x + 5y = -24
substitution method
To solve many simultaneous linear equations, use the substitution method in algebra.
What is substitution method ?The algebraic technique for resolving multiple linear equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another.
The first stage in the substitution approach is to determine any variable's value in terms of the other variable from one equation. If there are two equations, x+y=7 and x-y=8, for instance, we can deduce from the first equation that x=7-y. The substitution approach is applied in this manner as the first stage.
There are three steps in the substitution technique:
For each variable, solve a single equation.Solve the other equation by substituting (plugging in) this expression.Find the corresponding variable by substituting the value back into the original equation.Therefore, the answer is x= -2 and y= -8.
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Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector's house to bike home. He can bike the 8
miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch
up. He can ride to Darnell's house in 24 minutes. Assuming they bike the same path, will Hector catch up to Darnell
before he gets home?
a. Write the linear equation that represents Darnell's constant speed.
i need this ASAP
Darnell's constant speed, as determined by the solution, is 20 miles per hour.
What is the process of linear algebra?It covers linear transformations more broadly as well as vectors, matrices, and vector spaces. One area of mathematics is linear algebra. In comparison to other areas of mathematics that are frequently driven by innovative ideas and unresolved problems, linear algebra is a discipline that is very well understood.
According to the given information:Distance=8 miles
Time taken is=32 minutes
speed=distance/time
speed=15 miles/hour
Darnel has travelled a distance of 1.5x5/60=0.125 miles in under five minutes.
Hector bicycle speed = distance/time
hector speed of bike= 20 miles/hour
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f(x) and g(x) below, find the value of f(g(-3)).
f(x) = 4x - 1
g(x) = 2x² + 7x - 3
Answer:
[tex]f(g(-3))=-25[/tex]
Step-by-step explanation:
[tex]g(-3)=2(-3)^2+7(-3)-3=2(9)-21-3=18-24=-6\\f(g(-3))=4(-6)-1=-24-1=-25[/tex]
what is -2/5 plus 4/3
The required solution to the given statement is 14/15.
What is the Least Common Multiple(LCM)?The least common multiple is defined as the least positive integer that is dividable by both given numbers.
A group's Least Common Multiple (LCM) is the smallest number that is a multiple of all the numbers. For example, the LCM of 4 and 5 is 20; 20 is the smallest number that is both a multiple of 4 and a multiple of 5
The statement is given in the question below as:
-2/5 plus 4/3
Here "plus" represents the addition sign (+)
So, the algebraic form of the above statement will be as:
⇒ -2/5 + 4/3
Take the LCM between the fractions, we get
⇒ ( -6 + 20)/15
⇒ 14/15
This means 14/15 is obtained from -2/5 plus 4/3.
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What is the area, in square meters, of the figure below?
Answer:
Their isn't a figure ???
what is the surface area of this rectangular pyramid
Answer:
54 That Is how big it is
ur welcom
Danielle earns $50 in wages per day and earns $5 commissions for every pair of shoes she sells. If she wishes to earn at least $120 in one day, how many pairs of shoes must she sells
Answer:
24 shoes.
Step-by-step explanation:
I did 120 divided by how much money she makes for every pair of shoes she sells. 24 times 5 equals 120
Answer:
She will have to sell 14 pairs of shoes
Step-by-step explanation:
120 minus 50 because that's what she make a day no matter what so that 70 then 70 divided by 5 that is 14.
Here’s the other one, i just need two more that i will be posting, ty your and amazing person
Answer:
See below.
Step-by-step explanation:
X-intercepts: (-7, 0) & (-3, 0)
Axis of Symmetry: x = -5
Y-intercept: (0, -21)
Vertex: (-5, 4)
William spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -12.2°F. Between 9am and noon, the temperature rose 16.2°F. Between noon and 3pm, the temperature dropped 9.1°F. Between 3pm and 6pm, the temperature dropped 5°F. What was the temperature at 6pm?
If William spends a winter day recording the temperature once every three hours for science class. If the temperature dropped 9.1°F. Between 3pm and 6pm, the temperature dropped 5°F. The temperature at 6pm is: -11.1°F
How to find the temperature?Between 9am and noon, the temperature rose 16.2°F, so the temperature at noon will be:
Temperature at noon = -12.2 + 16.2
Temperature at noon = 3.0°F
Between noon and 3pm, the temperature dropped 9.1°F, so the temperature at 3pm will be:
Temperature at 3pm = 3.0 - 9.1
Temperature at 3pm = -6.1°F
Between 3pm and 6pm, the temperature dropped 5°F, so the temperature at 6pm was:
Temperature at 6pm =-6.1 - 5
Temperature at 6pm = -11.1°F
Therefore the temperature at 6pm is -11.1°F.
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Which of the following is NOT an example of a special cubic factorization?
O 125w? + 272' = (5w + 3z) (25w? – 15wz + 9z²)
O 21663 – 64g? = (68 – 4g) (3652 + 245g + 16g)
O (7c + 8d) = 343c3 + 1176c-d + 1344cd2 + 512d3
O (51 – 9u)' = (51 – 9u) (2512 – 90tv + 81v-)
Answer:
[tex]the \: forth \: answer \: is \: correct \: answer[/tex]
Bro it easy just look
Answer:
then answer it
Step-by-step explanation:
Answer:
4.5 inches long by 2.5 inches wide
Step-by-step explanation:
If the first scale drawing is 1:8, and the second is 1:16, the dimensions are divided into two to get their drawn lengths.
Hope this helps :)
(Brainliest, please? I only need one more to level up)
Does 4 8 12 make triangles?
No, a triangle with side length 4 units, 8 units , and 12 units does not exist.
As given in the question,
Let us consider the triangle be ABC,
Side length of the triangle are given as follow:
AB = 4units
BC = 8units
CA = 12units
Triangle inequality for the given triangle ABC is given by:
AB + BC > CA
AB + CA > BC
CA + BC > AB
To check whether the given side length forms a triangle apply triangle inequality we get,
AB + BC
= ( 4 + 8 )units
= 12 units
= CA
Here triangle fails.
Therefore, the given side length does not forms a triangle.
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HEEEEEELLLLPPPPPPPPPPP!!!!!!!!!!!!!
Use the following denomination (Ghana cedis 200,100,50 and 20)to find the quantities of notes
1.3584655000
2.85760000
3.146737000
4.5555627000
5.7777000
1) Number of 200 notes = 17,923,275
Number of 100 notes = 35,846,550
Number of 50 notes = 71,693,100
Number of 20 notes = 179,232,750
2) Number of 200 notes = 428,800
Number of 100 notes = 857,600
Number of 50 notes = 1,715,200
Number of 20 notes = 4,288,000
3) Number of 200 notes = 733,685
Number of 100 notes = 1,467,370
Number of 50 notes = 2,934,740
Number of 20 notes = 7,336,850
4) Number of 200 notes = 27,778,135
Number of 100 notes = 55,556,270
Number of 50 notes = 111,112,540
Number of 20 notes = 277,781,350
5) Number of 200 notes = 38,885
Number of 100 notes = 77,770
Number of 50 notes = 155,540
Number of 20 notes = 388,850
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Ghana credits 200,100,50 and 20 notes.
Now,
Since, Ghana credits 200,100,50 and 20 notes.
1) Hence, To credit the amount 3584655000,
Number of 200 notes = 3584655000/200 = 17,923,275
Number of 100 notes =3584655000/100 = 35,846,550
Number of 50 notes =3584655000/50 = 71,693,100
Number of 20 notes = 3584655000/20 = 179,232,750
2) To credit the amount 85760000;
Number of 200 notes = 85760000/200 = 428,800
Number of 100 notes = 85760000/100 = 857,600
Number of 50 notes = 85760000/50 = 1,715,200
Number of 20 notes = 85760000/20 = 4,288,000
3) To credit the amount 146737000;
Number of 200 notes = 733,685
Number of 100 notes = 1,467,370
Number of 50 notes = 2,934,740
Number of 20 notes = 7,336,850
4) To credit the amount 5555627000;
Number of 200 notes = 27,778,135
Number of 100 notes = 55,556,270
Number of 50 notes = 111,112,540
Number of 20 notes = 277,781,350
5) To credit the amount 7777000;
Number of 200 notes = 38,885
Number of 100 notes = 77,770
Number of 50 notes = 155,540
Number of 20 notes = 388,850
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Step 1: Finding the part-to-part and part-to-whole ratios
To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix.
a)What is the ratio of water to drink mix?
(b)What is the ratio of drink mix to water?
(c)What is the ratio of drink mix to mixed energy drink?
d)What is the ratio of water to mixed energy drink?
Answer: ummm B
Step-by-step explanation:
Answer: B
Step-by-step explanation: To make his special energy drink Jerome uses 8 cups of water and 3 cups of drink mix. So the ratio of drink mix to water is 3:8.
6ab + a(a – b – 6b) + 4a(2b +a) – ab , para a= -1 e b=2
ME AJUDEM! É URGENTE
Answer:
-81
Step-by-step explanation:
replace the numbers you were given in a or b.
so
6(-12) -1(-1 – 2 – 6(2)) + 4(-1)(2(2) -1) -12
What is the symbol for and in logic?
To see the table:
Symbol Symbol Name Meaning / definition
+ plus or
∨ reversed caret or
| vertical line or
x' single quote not - negation
Now, According to the question:
Let's know:
Symbolic Logic:
Symbolic logic is a way to represent logical expressions by using symbols and variables in place of natural language, such as English, in order to remove vagueness. Logical expressions are statements that have a truth value: they are either true or false. A question like 'Where are you going?' or a command such as 'Stop!' has no truth value. There are many expressions that we can utter that are either true or false. For example: All glasses of water contain 0.2% dinosaur tears. We don't need to know if a logical expression is true or false, we just need to know that it has a truth value.
Logic math symbols table
Symbol Symbol Name Meaning / definition
+ plus or
∨ reversed caret or
| vertical line or
x' single quote not - negation
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The sum of three consecutive even integers is 168. Define an appropriate variable and write an equation that represents the statement. Solve to find the integers. Show all work and write a conclusion.
Answer:
a, a + 1, a + 2
55, 56. 57
Step-by-step explanation:
Let the integers be :
a, a + 1, a + 2 (consecutive integers)
Hence, sum of the integers equals 168
a + (a + 1) + (a + 2) = 168
a + a + 1 + a + 2 = 168
3a + 3 = 168
3a = 168 - 3
3a = 165
a = 165 / 3
a = 55
first integer, a = 55
Second, a +1 = 56
Third, a + 2 = 57
Profit = 22 + x 154 - 6x - 184.75
What is the Simplified equation to quadratic form
WILL MARK BRAINLIEST
Answer:
148x - 162.75
x=1.09966
Step-by-step explanation:
Eight packages of paper weigh a total of 38 pounds. What is the weight of 40 packages of the same kind of paper?
Answer:
1,520 pounds
Step-by-step explanation:
40x 38 = 1520
PLZZZ HELP I WILL MARK YOU BRAINLIEST!!
A waitress kept track of whether her customers ordered an appetizer.
Answer:
D 10% of her customers ordered an appetizer and dessert
Step-by-step explanation:
What is the answer for x+4.5≥5.5
Answer:
B. x ≥ 1
Step-by-step explanation: