Answers
Answer: an = a1 +
Step-by-step explanation:
Related Questions
An exponential function is given by the equation y=3x. Using the points xx and x+1x+1, show that the y-values increase by a factor of 3 between any two points separated by x2−x1=1.(4 points)
Answers
Answer:
Here we have the function:
y = f(x) = 3^x
Using the values:
x and (x + 1)
We need to find that the y-value increases by a factor of 3.
So we need to prove that:
f(x + 1) = 3*f(x).
Or we can see the quotient:
f(x + 1)/f(x) = 3
Here we can find the values:
f(x + 1) = y = 3^(x + 1)
f(x) = y' = 3^x
If we take the quotient, we get:
[tex]\frac{f(x + 1)}{f(x)} = \frac{3^{x + 1}}{3^x}[/tex]
Here we can use the properties:
[tex]a^n*a^m = a^{n + m}[/tex]
[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]
Using these in the quotient equation we get:
[tex]\frac{f(x + 1)}{f(x)} = \frac{3^{x + 1}}{3^x} = \frac{3^x*3^1}{3^x} = \frac{3^x}{3^x}*3 = 1*3 = 3[/tex]
Then:
[tex]\frac{f(x + 1)}{f(x)} = 3[/tex]
[tex]f(x + 1) = 3*f(x)[/tex]
So we found that the y-value increases by a factor of 3 between any two points x₂ and x₁ such that: x₂ - x₁ = 1.
In the first quarter of the game,the giants gained 5 yards,lost 13 yards,gained 2 yards,gained 6 yards and,unfortunately,lost 12 yards in their final play.
1.Use a number line to depict the Giants' activity in the first quarter.
2.Use addition only to illustrate the Giants' activity in the first quarter.
3.What was the net yardage for the Giants in the first quarter.
Answers
Answer:
5 + (-13) + 2 + 6 + (-12) ;
-12 yards
Step-by-step explanation:
5 yards gain = + 5
13 yard loss = - 13
2 yards gain = + 2
6 yards gain = + 6
12 yards loss = - 12
Using addition Rule :
5 + (-13) + 2 + 6 + (-12)
The net yardage :
5 - 13 + 2 + 6 - 12 = - 12
Net yardage = - 12 yards
URGENT!! Two students determined the value of this expression. -2.5(1.4+3.1) + 6.9(-4.3)
These are the steps each student used.
Student P Steps:
Step 1: -3.5 + 7.75 + 6.9(-4.3)
Step 2: -3.5 + 7.75 - 29.67
Step 3: 7.75 - 3.5 - 29.67
Step 4: -25.42
Students Q steps:
Step 1: -3.5 - 7.75 + 6.9(-4.3)
Step 2: -3.5 - 7.75 - 29.67
Step 3: -(3.5 - 7.75 - 29.67)
Step 4: -(-33.92)
Step 5: 33.92
Analyze the steps and describe any errors made by Student P and Student Q
Answers
Answer:
student p= added and subtracted wrongs
stident Q= only subtracted
Step-by-step explanation:
The error of student P is the first step and that of student Q is the third step.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is
-2.5 (1.4 + 3.1) + 6.9 (-4.3)
Using the distributive property,
= (-2.5 × 1.4) + (-2.5 × 3.1) + (6.6 × -4.3)
= -3.5 - 7.75 - 29.67
= - (3.5 + 7.75 + 29.67)
= -40.92
This is the correct way to do the operations.
The error of student P is in the step 1, where the student wrote 7.75 instead of -7.75.
The error of student Q is in the step 3, that when the negative sign is taken out all the signs inside the bracket become positive.
Hence the errors of two students are found.
Learn more about Expressions here :
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Which equation is a linear function?
Answers
Answer:
B. y = xStep-by-step explanation:
Linear function has the form of:
y = mx + bOnly one of the choices, B is representing the linear function:
y = xi really need help ASAP!!
answer needs to be in simplest radical form.
find n.
Answers
Answer:
Step-by-step explanation:
You can use sen30° to solve it:
Since Sen=Opposite side / diagonal
Sen30° = OS/D
1 / 2 = x / [tex]2\sqrt{3}[/tex]
2x = [tex]2\sqrt{3}[/tex]
x = [tex]\sqrt{3}[/tex]
The area of the triangle below is 3.19 square inches. What is the length of the base?
Answers
Answer
m<a is 90 and m<b is 40 i don't know which one is da base but i'd go with 40?
Step-by-step explanation:
x+5 I'll give brainiest
Answers
Answer:
X + 5 = X + 5
Step-by-step explanation:
The answer is X + 5 because they both are different simbuls, wich means you cant add them. The answer just stayes x + 5.
Escribir un 1% como decimal
Answers
Answer:
0.01
Step-by-step explanation:
1% = [tex]\frac{1}{100}[/tex]
0.01
Classify this triangle by its sides.
Answers
Step-by-step explanation:
The answer is scalene triangle
Answer:
scalene
Step-by-step explanation:
all the sides of a scalene triangle have different lengths, as shown in the picture :)
If 18 percent of the beads in a bag are green, 25 percent are red and 40 percent are purple. What is the probablity of choosing a green bead then a red bead
Answers
Answer:
[tex]P(G\ then\ R)=0.045[/tex]
Step-by-step explanation:
From the question we are told that:
Percentage of Green beads [tex]P_g=18[/tex]
Percentage of Red beads [tex]P_r=18[/tex]
Percentage of Purple beads [tex]P_p=18[/tex]
Therefore
Probability of choosing a Green bead is
[tex]P(G)=0.18[/tex]
Probability of choosing a Red bead is
[tex]P(R)=0.25[/tex]
Generally the equation for choosing a green bead then a red bead is mathematically given by
Since Outcomes are independent
[tex]P(G\ then\ R)=0.18*0.25[/tex]
[tex]P(G\ then\ R)=0.045[/tex]
A company’s mean salary is $65,000 with a standard deviation of $6,000. What is the probability that an employee makes between $70,000 and $80,000?
Answers
An employee has a probability of 0.19706 to make between $70,000 and $80,000
What is Probability?Probability is the potential for an event to occur or occur, and it indicates the likelihood that a statement is true. It is a field of mathematics where the probabilities of experiments happening are computed. We can determine everything from the likelihood of getting heads or tails when tossing a coin to the likelihood of making a research error, for instance, using a probability. It's formula is = number of favorable outcomes/total number of outcomes
Let X be the annual salary of employees in a large company.
Given the mean salary is $65,000 and the standard deviation is $6,000, the probability of making between $70000 and 80000 can be calculated as:
[tex]P(70000 < X < 80000)[/tex] = [tex]P(\frac{70000 - 65000}{6000} < z < \frac{80000 - 65000}{6000} )[/tex]
[tex]P(0.833 < z < 2.5)[/tex]
= 0.99379 - 0.79673 (from normal distribution table)
= 0.19706
Hence, the probability that an employee makes between $70,000 and $80,000 is 0.19706
Learn more on Probability here:
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If x = 36 when y = 40 and x varies directly as y, what is x when y = 80?
Answers
x = 72
Function g can be thought of as a translated (shifted) version of f(x) = 2?.
Write the equation for g(x).
NEED HELP ASAP
Answers
Answer:
g(x)=(x+5)^2
Step-by-step explanation:
the account looks like this, because you invert the sign 5 is negative to the left, so for the result to be negative in the account it has to be positive
g(x)=(x+5)^2
(x+5)^2=0
x+5=0
x=0-5
x=-5
Good Studies!!!
Select all ratios equivalent to 5:2
A) 25:10
B) 10:4
C) 4:1
Answers
Answer:
A and B
Step-by-step explanation
It is A) because you multiply 5 times 5 which equals 25, and 2 times 5 equals 10.
It’s is B) because you multiply 5 times 2 which equals 10, and 2 times 2 which equals 4.
In conclusion both of these ratios — 25:10 & 10:4 — are proportional, or equal, to 5:2.
I hope this helps!! :)
(5/10)^4 in exponential form
Answers
Answer:
[tex] 6.25 \times {10}^{ - 2} [/tex]
Step-by-step explanation:
[tex] { \bigg( \frac{5}{10} \bigg) }^{4} \\ \\ = {(0.5)}^{4} \\ \\ = 0.0625 \\ \\ = 6.25 \times {10}^{ - 2} [/tex]
Answer:
6.25 x 10-2
Step-by-step explanation:
It takes 4 people 2 days to build a wall.
How long would it take for 2 people to build the same wall.
Give your answer in days.
Answers
Answer:
I believe it would be 8 days.
Step-by-step explanation:
Mason is training for the javelin-throw event. A coach created
a graph that shows the height of the javelin over time for
Mason's best throw.
Height (meters)
ONO O NA
5
3 4
Time (seconds)
How many seconds did it take for the javelin to reach its
greatest height?
4.1 s
B В
1.3 s
C
13 s
2 s
Answers
It needs to be 2s if you look at the graph it should show
Answer:
2 seconds
Step-by-step explanation:
In the circle below, AB=CD. Chord AB = 8x and chord CD = 2x + 3. Find
the value of x.
Answers
Using the digits 1-9 once only fill in the blanks so that you can multiply each column and row to get the answer given on the side.
Answers
Answer:
7 4 9
5 6 1
3 2 8
Step-by-step explanation:
..........................
Answer:
7 4 9
5 6 1
3 2 8
Hope this helps!
write the equation of the line that passes through the points (-9,-5) and (-2,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
(no links please)
Answers
Answer:
y= 8/7x+ 37/7 for the equation that the line passes
Answer:
y+5=8/7(x+9)
Step-by-step explanation:
3x+2y=12 2x-3y=21 elimination please solve with answer and steps
Answers
Answer:
(6,-3)
or
x=6 y= -3
Step-by-step explanation:
Taking a quick look at this question we notice that we simply cannot add/subtract the two equations and eliminate a variable
What we can do is mulitply an equation to make the above true
let's try to get the first equation to have a 3y, and we can do this by multiplying it by 1.5 (this is legal because we do it to both sides)
So our new first equation is
1.5(3x+2y)=12*1.5
which simplifies to
4.5x+3y=18
We then add the two equatiosn
(4.5x+3y)+(2x-3y)=18+21
6.5x=39
x=6
Now that we know x we can plug that in and solve for y
3(6)+2y=12
18+2y=12
-6=2y
y= -3
[tex] \sqrt{4 {}^{4} } [/tex]
Answers
Answer:
16 will be your answer
Step-by-step explanation:
hope it helps..
Thanks again for the points bro!!
please answer it would rly help me out
Answers
four outcomes (bc four colors)
and
a 36% chance of grabbing a blue marble (4blue/11total)
33.333% or 1/3 chance at blue
Show your work to solve me following. Will give Brainliest
Answers
Answer:
X = -32/11
Step-by-step explanation:
Solve: Jackson earns $16 per hour. His expenses are $532 per month. Which
expression shows how much money he has left after his expenses? *
532x - 6
532x + 16
16x - 532
16x + 532
Answers
Answer:He works 40 hours each week at a rate of $16 per hour.
Step-by-step explanation:
There are 1,024 players in a tennis tournament. In each round, half the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?
Answers
Answer:
1,024 ÷ by how many number of rounds= x
Answer:
1,024(0.50)^x That is the answer......................................
Perimeter, Area, and Volume
What is the volume of a
rectangular prism that has a
height of 6 inches, a length
of 2 inches, and a width of 7
inches?
Answers
Answer:
84
Step-by-step explanation:
LengthxWidthxHeight.
6x2x7=84
i need help! would appreciate it
Answers
Answer:
x = 0.6
Step-by-step explanation:
We use tangent because the given numbers are opposite and adjacent from x
So, tangent (x) = opposite/adjacent
tan(x) = 8.78/12
[tex]tan^{-1}(\frac{8.78}{12}) = x[/tex]
x = 0.631664
Round to nearest tenth:
x ~ 0.6
Which power of 10 should be in the to make the equation true?
73.4: = 00.734
Answers
Answer:
-2 power.
Step-by-step explanation:
can someone please answer all 3 parts to this question with work? will give brainliest