9514 1404 393
Answer:
A(n) = 5 +3(n -1)
Step-by-step explanation:
The first term is ...
A(1) = 5
The common difference is ...
d = 8 - 5 = 3
Then the desired formula is ...
A(n) = A(1) +d(n -1)
A(n) = 5 +3(n -1)
Helpppp what is kp???
Step-by-step explanation:
the equilibrium constant expressed in terms of partial pressures. Kp index, a measure of the global average geomagnetic potential. Kripke–Platek set theory, a mathematical axiom system.
Please help me I don’t understand $!!!!!
9514 1404 393
Answer:
a) f: all real numbers except 1 and 2; g: all real numbers except 2
b) f(x) = 5/(x -2) . . . . x = 2 is a vertical asymptote
c) f(x) = -5/4, -5/3, -5/2, undefined, undefined, 5, 5/2
g(x) = -5/4, -5/3, -5/2, -5, undefined, 5, 5/2
d) f(x) is also undefined at x=1
Step-by-step explanation:
a) Any question about the domain of a function concerns the values of the variable for which the function is defined, or not. A rational function, such as these, will be undefined when its denominator is zero. So the question of domain becomes a question of the values of x that make the denominator zero.
The zeros of the denominator of f(x) can be found by factoring it.
x^2 -3x +2 = (x -1)(x -2)
These factors are zero when x=1 and when x=2. Hence, these values are excluded from the domain of f(x).
domain of f(x): all real numbers except x=1 and x=2
Then, by inspection, the domain of g is similar, but a little different:
domain of g(x): all real numbers except x=2
__
b) Based on our work for part (a), we find that f(x) can be factored and simplified like this.
[tex]f(x)=\dfrac{5x-5}{x^2-3x+2}=\dfrac{5(x-1)}{(x-1)(x-2)}\\\\\boxed{f(x)=\dfrac{5}{x-2}\quad x\ne1}[/tex]
There will be a vertical asymptote at x=2. The attachment shows a graph of f(x) with its vertical asymptote.*
__
c) The difference between the two functions is that f(x) is undefined at x=1.
x = -2, -1, 0, 1, 2, 3, 4
f(x) = -5/4, -5/3, -5/2, undef, undef, 5, 5/2
g(x) = -5/4, -5/3, -5/2, -5, undef, 5, 5/2
__
d) The functions differ in that f(x) is undefined at x=1, whereas g(x) is not.
_____
* The fact that f(x) is undefined at x=1, but there is no vertical asymptote at that point, means the function has a "hole" in its graph there. This is illustrated on the graph by an open circle, meaning the function is not defined at that point.
PLEASE HELP ME I HAVE A SICKNESS CALLED IM DUMB AND I REALLY NEED HELP WITH THESE QUETIONS. IF YOU CAN ANSWER THEM ALL ILL GIVE BRAINLIEST AND 50 POINTS AND PLSS DONT DO IT FOR THE POINTS.PLSSS
Step-by-step explanation:
the answer in the image
Find the slope, please.!!!!!!!!!!!!!!!!!
Answer:
I think it's one.
Step-by-step explanation:
I took this two year ago.
Answer:
the slope is 1
Step-by-step explanation:
up one over one aka 1/1 = 1
What is the factor to this as a expression?
Answer:
The expression is not factorable with rational numbers
Step-by-step explanation:
50 points and Brainliest answer question above
Answer:
12
Step-by-step explanation:
the answer is 12
Answer: 12sq. units
Step-by-step explanation: Because if you take it and say it has 2 for the side and down below it has 6 you times that and you get 12.
Can you mark me brainlest???!!! Please!!!!!
Nicole is making 1,000 bows for people who donate to the library book sale. She needs a piece of ribbon that is o.75 meters long for each bow. How many meters of ribbon does Nicole need to make for the bows? Explain how to find the answer.
Answer:
750 meters
Step-by-step explanation:
In order to calculate the total amount of ribbon that she needs, we need to multiply the amount of ribbon that each bow needs by the total number of bows that need to be made. Since we are given both of these values we simply multiply and solve for x which is the total amount of ribbon that Nicole needs.
1000 * 0.75 = 750 meters
Therefore, Nicole needs a total of 750 meters to make all of the needed bows.
In a survey of 3400 people who owned a certain type of car 2210 people said they would buy the type of car again what percent of the people surveyed were satisfied with the car? Plz help me! :)
sammi used his past health history and information by his doctor visits to create this table to compare health cost with and without insurance what is the expected value of each option
Answer:
W/O insurance: 235.50
with insurance: 1597.94
Step-by-step explanation:
Weighted Average:
annual premium 1 $1,580.00 $0
single doctor visit 0.3 $7.50 $105
two doctor visits 0.18 $9.00 $126
medication 0.06 $1.44 $5
$1,597.94 $235.50
simply : b2 • b3 • b
(• = divide)
Answer:
Step-by-step explanation:
Is it b^2 divided by b^3 divided by b?
If so, the answer is 1/b^2
Will give brainlist if correct.
Answer: [tex]\frac{1}{16}[/tex]
Step-by-step explanation:
1. Original Equation: [tex]4^4(4^-^7)(4)[/tex]
2.Simplify: [tex]4^4(4^-^7)(4) ----> 4^4* 4^-^7 * 4\\[/tex]
3.Apply exponent rule: [tex]4^4^-^7^+^1[/tex]
4. Simplify: [tex]4^-^2\\[/tex]
5.Apply exponent rule: [tex]\frac{1}{4^2}[/tex]
6.Simplify: [tex]\frac{1}{16}[/tex]
Nixon has a square piece of wrapping paper that has a total area of 200 square inches. Which point on the number line below represents the measurement closest to the side length of the piece of wrapping paper
Answer:
x = 14 inches
Step-by-step explanation:
The area of a square piece of paper is 200 square inches.
We need to find the point on the number line below represents the measurement closest to the side length of the piece of wrapping paper. It is shown in the attached figure.
Area of a square = x², x is the side length
[tex]x=\sqrt{A} \\\\x=\sqrt{200} \\\\x=14.142\ \text{inches}[/tex]
or
x = 14 inches
So, the side length of the square is 14 inches. It is shown in point A.
Plz I need help, I’m confused and lost :(
408 = 12x + 16y solve for both x and y?
Answer:
Slope= − 1.500/2.000
= -0.750
x intercept= 102/3
= 34
y−intercept= 102/4
= 51/2
= 25.50000
Step-by-step explanation:
sorry if this is wrong, I tried!
A football team loses an average of 3 yards per play. How many yards
have they lost after 4 plays? Write a number sentence to show your
answer.
The expression would be:
3x
x=number of plays
Insert 4:
3(4)
=12
They would 12 yards after 4 plays if losing 3 yards every play.
The amount of yards the football team loses after 4 plays is given by the equation A = 12 yards
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of yards the football team loses after 4 plays be A
Now , the equation will be
Let the amount of yards the football team loses per play = 3 yards
So , the amount of yards the football team loses after 4 plays = 3 x amount of yards the football team loses per play
Substituting the values in the equation , we get
The amount of yards the football team loses after 4 plays A = 3 x 4
On simplifying the equation , we get
The amount of yards the football team loses after 4 plays A = 12 yards
Hence , the amount of yards is 12 yards
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PLEASE HELP ME ITS VERY URGENT AND I DON'T UNDERSTAND HOW TO DO THIS!!!
Answer:
B and D also intersect at C
Step-by-step explanation: Instructions are unclear but it think that you are supposed to say the other pair that meets in a strait line
Answer:
Step-by-step explanation:
AC² = 25 + 9 - 15 cos120° = 34 - 15(- 0.5) = 41.5 ⇒ AC = √41.5 ≈ 6.442 cm ≠ EC
ΔABC doesn't congruent to ΔEDC
The table shows which equation?
Answer:
C. I think I'm not sure
Step-by-step explanation:
what is the equivalent expression plzz help
I will send u the pic
Answer:
a pic of ur math?
Step-by-step explanation:
What is the equation for the parabola that
has a focus at (-7, 6) and a directrix of x
1?
Answer:
Step-by-step explanation:
Parabola's equation is
y
=
1
16
(
x
−
7
)
2
+
1
and vertex is
(
7
,
1
)
.
Explanation:
Parabola is locus of a point which moves so that its distance from a given point calld focus and a given line ccalled directrix is always constant.
Let the point be
(
x
,
y
)
. Here focus is
(
7
,
5
)
and distance from focus is
√
(
x
−
7
)
2
+
(
y
−
5
)
2
. Its distance from directrix
y
=
−
3
i.e.
y
+
3
=
0
is
|
y
+
3
|
.
Hence equaion of parabola is
(
x
−
7
)
2
+
(
y
−
5
)
2
)
=
|
y
+
3
|
2
or
x
2
−
14
x
+
49
+
y
2
−
10
y
+
25
=
y
2
+
6
y
+
9
or
x
2
−
14
x
+
65
=
16
y
i.e.
y
=
1
16
(
x
2
−
14
x
+
49
−
49
)
+
65
16
or
y
=
1
16
(
x
−
7
)
2
+
65
−
49
16
or
y
=
1
16
(
x
−
7
)
2
+
1
Hence parabola's equation is
y
=
1
16
(
x
−
7
)
2
+
1
and vertex is
(
7
,
1
)
.
graph{(1/16(x-7)^2+1-y)((x-7)^2+(y-1)^2-0.15)((x-7)^2+(y-5)^2-0.15)(y+3)=0 [-12.08, 27.92, -7.36, 12.64]}
what is the proportional realashionship
Answer: "Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"."
Step-by-step explanation: I got this from a website. Hope it works!!!
x2 + 20x +__________
Mrs. Reed spent $34 to buy M&Ms and paper clips for her students. She bought a total
of 10 items. If the M&M bags were $3 each and the paper clips were $4 for each box,
how many of each did she buy?
Answer:
Mrs. Reed bought 4 boxes of paper clips and 6 bags of M&Ms.
Explanation:
4 x 4 = 16
3 x 6 = 18
16 + 18 = 34
Answer:
Step-by-step explanation:
Your roommate's closet is full of skeletons. There are containers full of skeletons which weigh pounds total. If there are containers, how much does each container weigh? Leave your answer in the form a^b.
Answer:
Each container weigh 10^3pounds
Step-by-step explanation:
The question lacks the necessary values. Let's restructure the question and include values.
Your roommate's closet is full of skeletons. There are containers full of skeletons which weigh 100,000 pounds total. If there are 100 containers, how much does each container weigh? Leave your answer in the form a^b.
From the question, we are given the following;
Weight of containers full of skeleton = 100000 pounds
Number of containers = 100
Required
Weight of each container
Let's say:
100containers = 100000pounds
1 container = xpound
Cross multiply
100×x = 100,000
Divide both sides by 100
100x/100 = 100,000/100
x = 10,000/100
x = 10^5/10^2
Using the law of indices
x = 10^{5-2}
x = 10^3
Hence the answer in form of a^b is 10^3 pounds.
Solve
4x - 9 = 6 - x
Answer:
x = 3
Step-by-step explanation:
The solution to the equation 4x - 9 = 6 - x is x = 1.2 in the decimal form.
Given Equation:
4x - 9 = 6 - x
Add both side x of the equation
4x - 9 +x = 6 - x + x
5x = 6
Now, divide both side by 6 gives
5x/ 5 = 6/5
x = 1.2
Thus, the value of x is 1.2.
Learn more about Equation here:
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Travis was attempting to make muffins to take to a neighbor that had just moved in down the street. The recipe that he was using required 3/4 cup of sugar and 1/8 cup of butter.
1. Travis accidentally put a whole cup of butter in the mix.
A. What is the ratio of sugar to butter in the original recipe? What amount of sugar does Travis need to put into the mix to have the same ratio of sugar to butter that the original recipe calls for?
B. If Travis wants to keep the ratios the same as they are in the original recipe, how will the amounts of all the other ingredients for this new mixture compare to the amounts for a single batch of muffins?
C. The original recipe called for 3/8 cup of blueberries. What is the ratio of blueberries to butter in the recipe? How many cups of blueberries are needed in the new enlarged mixture?
Answer:
A. (3/4) : (1/8)
Travis must add 6 cups of sugar to maintain the ratio.
B. Travis must multiply the ratio of all other ingredients by 8.
C. (3/8) : (1/8)
Travis must add 3 cups of blueberries to maintain the ratio.
Step-by-step explanation:
A.
3/4 * 8
24/4
6 cups of sugar to maintain the same ratio.
B. 1/8 turned into 1 so that means it was multiplied by 8
C. 3/8 are blueberries and 1/8 is butter
(3/8) * 8
3
This took a long time to do... reward?
help me on this please it’s due at 11:59 and i have no idea what to do
Fill in the blank.
(45)×(512) = ___ / 5×12
Answer:
x=1382400
this should be right
Answer:
1382400
Step-by-step explanation:
Well, we can first find that 5x12 is 60 so if you substitute it, it would be:
45x512 = ___ / 60
We can also substitute ___ as x:
45x512 = x/60
45x512 is 23040 so, 23040 = x/60.
Bring sixty to the other side and multiply
x= 23040 x 60 = 1382400
A $136,000.00 home with 30yr mortgage with 1.1% fixed rate. 20% down down payment. How much is the down payment, the monthly payments, interest rate and the loan?
Answer:
down payment = home value x 20% = $136,000 x 20% = $27,200
loan = home value - down payment = $136,000 - $27,200 = $108,800
interest rate = 1.1% fixed (given) ≈ 0.09167% per month
duration of loan = 30 years or 360 months
monthly payment = present value of loan / PV annuity factor
PV annuity factor, 360 periods, 0.09167% = 306.5134 (I used an online annuity calculator)
monthly payment = $108,800 / 306.5134 = $354.96
What does the graph of the function represent