The exponential function g, whose graph is given below, can be written as g(x)=a•b^x
Answers
Answer:
g(x) = [tex]8(\frac{1}{2})^x[/tex]
Step-by-step explanation:
Let the equation of the graphed exponential function is,
g(x) = [tex]a(b)^x[/tex]
Two points (0, 8) and (1, 2) lie on this graph.
For (0, 8),
g(0) = [tex]a(b)^0[/tex]
8 = a(1)
a = 8
For other point (1, 2),
g(1) = [tex]a(b)^1[/tex]
2 = ab
2 = 8b
b = [tex]\frac{2}{8}[/tex]
b = [tex]\frac{1}{4}[/tex]
Therefore, given exponential function wiil be,
g(x) = [tex]8(\frac{1}{2})^x[/tex]
Answer:
8⋅(1/4)^x
Step-by-step explanation:
trust me thats the answer
Related Questions
Toilet rolls come in packs of 4 and 9
The 4 pack is priced at £2.04
The 9 pack is priced at £4.68
By calculating the price per toilet roll, determine which pack is better value . Show your working
Answers
Answer:
4 pack priced at £2.04 is better value deal.
Step-by-step explanation:
The 4 pack is priced at £2.04
cost of one pack will be equal total price divided by no. of roll in one pack
cost of one pack will be £2.04 /4 = £0.51
The 9 pack is priced at £4.68
cost of one pack will be £4.68 /9 = £0.52
As price per toilet roll for 4 pack is £0.51 which is less than
price per toilet roll for 9 pack which is £0.52
4 pack priced at £2.04 is better value deal.
Answer:
4 pack priced at £2.04 is better value deal.
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLKIEST!!!!!!!!
Answers
Answer:
a) -x(4[tex]x^{2}[/tex] -x +1)
b) 4[tex]x^{3}[/tex] (x-1)
c) -12[tex]x^{2}[/tex] - 3x + 3
Step-by-step explanation:
Most of it is really just a matter of substituting expressions in. here's how i did it:
f(x) = x-1
g(x) = 4[tex]x^{2}[/tex]
a) (f-g) x [tex]x[/tex]
= (x - 1- 4[tex]x^{2}[/tex]) x [tex]x[/tex]
= x(- 4[tex]x^{2}[/tex]+x-1)
= -x (4[tex]x^{2}[/tex] - x + 1)
*you can take the negative out of the bracket or not, i did though - just makes it neater. They are both right.
b) (fxg) x [tex]x[/tex]
= (4[tex]x^{2}[/tex](x-1)) x [tex]x[/tex]
= 4[tex]x^{3}[/tex] (x-1)
*just bring the x to the front and times it with the 4[tex]x^{2}[/tex]
c) (f+g) x -3
= (x - 1 + 4[tex]x^{2}[/tex]) x -3
= -3 (4[tex]x^{2}[/tex] + x -1)
= -12[tex]x^{2}[/tex] - 3x + 3
*just bring the -3 to the front and times it with the whole bracket to expand since it said evaluate
Hope that helped : )
I need the answer for this: 7y+4/y+2=4/3
Answers
Answer:
Juanita dissolves 46 g of MgBr2 (molar mass: 184.11 g/mol) in 0.5 kg of distilled water. What is the molality of the solution?
Rickie played eight rounds of miniature golf in June and eight rounds of miniature golf in July. He recorded his score for each round. Rickie’s mother asked him if his scores varied more in June or July. Rickie claims that a measure of center will answer his mother’s question. Is Rickie’s claim correct?
Answers
Answer:
The measure of variability should be used.
Step-by-step explanation:
It is provided that Rickie played eight rounds of miniature golf in June and eight rounds of miniature golf in July. He recorded the cores for each round.
Now to determine in which month Rickie's score varied the most the measure of variability would be used and not measure of center.
This is because:
The Measures of Central tendency is a distinct value that describe a data set by recognizing the central location within that data set. The measures of central tendency are every so often are known as measures of central location. They are also known as summary statistics.
Whereas the measure of variability is used to determine the amount of variability in the data set. They represent how far the observations are from the center of the data set.
Thus, to answer his mother's question, the measure of variability should be used.
asif has a bag of 58 sweets he gives 5 of his sweets to each of his 6 friends how many sweets does he have left
Answers
Answer:28 if I’m not mistaken
Step-by-step explanation:
=58 - 30
=28
Which multiplication expression could the area model represent
A: 1.5x4.7
B: 1.5x47
C: 15x0.47
D: 15x4.7
Answers
Answer:
1.5 * 4.7
Step-by-step explanation:
The top adds to 4+.7 = 4.7
The side adds to 1+.5 = 1.5
When they multiply it is
1.5 * 4.7
1.5 x 4.7
Explanation
4 + 0.7 = 4.7
1 + 0.5 = 1.5
1.5 x 4.7
So, the answer is A.
Please help. How can this set be expressed using inequalities?
Answers
Answer:
Its the first one
Step-by-step explanation:
10 and x is Greater than -2
|6-27| how the answer this question
Answers
Answer:
First notice that they’re asking for the absolute value of the equation.
The absolute value is how far that number is from 0.
Basically it’s the number without a negative sign.
ok so 6-27 = -21
The product for 6-27 (21) is 21 spaces away from 0.
|6-27| = 21
21 is the answer to your question.
Hope this helped and pls mark me brainliest if it did :)
Angela just learned the processes of using the distributive property. She learned that when a number is outside the parentheses, it means to that number by everything inside the parentheses.
Answers
Answer:
Angela should multiply the outside number by the numbers in the parenthesis.
Step-by-step explanation:
The rule of distributive property:
[tex]a(b+c)=ab+ac[/tex]
You have to multiply the outside number by numbers in the parentheses.
Example:
[tex]3(2+4)\\\text {Distribute 3 into the parenthesis:}\\\left \{ {{3*2=6} \atop {3*4=12}} \right.\\ \text {So:}\\\boxed{3(2+4)=6+12}[/tex]
Answer:
its muiltiply
Step-by-step explanation:
i promise
Study the coordinate plane below. A certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) What is the best description of this polygon? A. rectangle B. pentagon C. trapezoid D. parallelogram
Answers
Answer:
pentegon
Step-by-step explanation:
The certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) is a trapezoid option (C) is correct.
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We have coordinates of a polygon, the coordinate plane:
points: (1, 1), (1, 8), (4, 7), and (4, 3)
After, connecting the points to each other.
We will see, after joining the points, the polygon will be a trapezoid.
Thus, the certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) is a trapezoid option (C) is correct.
Learn more about the regular polygon here:
brainly.com/question/11810316
#SPJ2
possible answer
5
-5
2.8
-2.8
Answers
Which of the following is a correct representation of the polynomial F(x)=x^4-5x^2+4 as a product of linear factors
Answers
Answer:
C
Step-by-step explanation:
how to find the correct one?
just see on the x² constant number. it's -5 so
from ABCD the only option give -5 is C
A. (-2)(-2) + (-1)(-1) = 5
B. (-2)(-2) + (1)(1) = 5
C. (2)(-2) + (-1)(1) = -5
D. (-2)(2) + (-1)(-1) = -3
A jar contains 7 orange, 3 yellow, and 5 blue marbles. If you pick one without looking, what is the probability that the marble you pick will be neither orange nor yellow?
show work pls tnx!
Answers
Answer:
The probability would be 5/15 or 1/3
Total = 7+3+5
= 15
yellow = 3
orange = 7
blue marbles = 5
Answer:
⇒Pgreen or yellow=5\11
Step-by-step explanation:
Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.
total
=
5
+
3
+
2
+
1
=
11
So there are
11
marbles total. The probability that we pick one of the
3
green marbles out of the
11
is simply that ratio:
P
green
=
3
11
Same idea for yellow:
P
yellow
=
2
11
The probability of picking either of these colors is simply the sum of their probabilities.
P
green or yellow
=
P
green
+
P
yellow
=
3
11
+
2
11
=
5
11
how would i solve this?
Answers
Answer: C
Step-by-step explanation:
The enequality includes x values equal to or greater than -2 and less than(but not equal to) 1.
so the possible integers would be -2 -1 0.
Complete the following: 2197 is the CUBE root of ______
Answers
-3x + 12x how do I simplify that?
Answers
-3x+12x
Divide it all by three
-x+4x
Answer:
The answer is 9x
Step-by-step explanation:
-3x + 12x
12x - 3x = 9x
Write a four-digit whole number that is divisible by 2. Use a divisibility rule and explain how you know that your number is divisible by 2.
Answers
Answer:
2378
Step-by-step explanation:
it is even. plus 8 is a multiple of 2
Answer:
2738
Step-by-step explanation:
2738 divided by 2 is 1369, and 1369 multiplied by 2 is 2738 also I checked on a calculator lol.
What is the value of the expression below?
7-2-4.5x3-8
Answers
Answer:
6.5
Step-by-step explanation:
7-2=5-4.5=0.5
0.5ₓ3=1.5
8-1.5=6.5
A store sells an outfit that consists of a shirt, a tie, and a pair of pants. The store purchases the shirt for $18, the tie for $12, and the pants for $35. The percent of markup is 22%. Find the selling price of the outfit.
Answers
Answer:The selling price of the outfit is $79.3
Step-by-step explanation:
18 + 12 + 35 = $65
65* 22% = 14.3
14.3 + 65 = $79.3
or
100% + 22% = 122%
122% of 65
1.22 * 65 = 79.3
A college's lacrosse team will play 22 games next spring. Each game can result in one of 2 outcomes: a win or a loss. Find the total
possible number of outcomes for the season record.
Answers
Answer: 44 possible outcomes
Step-by-step explanation:
Multiply the number of games by the number of outcomes to find how many possibilities.
22 games * 2 outcomes = 44 possibilities
Interpreting the situation, it is found that there are 23 possible outcomes for the season record.
For each game, there are two possible outcomes.
Hence, if the team plays 1 game, there are two possible outcomes, 0 wins or 1 win.If the team plays 2 games, there are three possible outcomes, 0 wins, 1 win or 2 wins.The same is valid for 3 games, the team can win 0, 1, 2 or 3 games.Hence, for n games, there are n+1 outcomes.In this problem, there are 22 games, hence 23 possible outcomes.
A similar problem is given at https://brainly.com/question/18599661
How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? How can sums and differences of cubes be identified for factoring?
Answers
Answer: I answered most of your question below
Step-by-step explanation:
Well in basic high school math, you prolly will never HAVE to factor square binomials. It becomes more of an issue when you take the limit, and there is a zero in the denominator and blah blah.
But to answer your question. You can pretty much factor any trinomial with the basic rule. Sometimes youll have to complete the square because the trinomial wont be factorable until then. The main use of factoring trinomials tho is to find the value of x. Most trinomials usually equal 0 when youre in high school math. So you factor and make both equations equal 0. Another case where you might need to factor is when you are dividing a trinomial by a binomial. You can factor the numerator and denominator and potentially cross out two terms that divide to equal 1. Overall, its really helpful.
I never really felt the need to actually factor square binomials. Its the thing like a^2 - b^2 = (a + b)(a - b), right? Its basically the same thing with what i said about the dividing stuff. One of those terms might be the exact same as one of the terms from the factored trinomial. Then you can cross out two entire terms
A trinomial is an expression that has three terms.
Square trinomial
A square trinomial is simply a perfect square trinomial, and it is represented as:
[tex]\mathbf{a^2 + 2ab + b^2 = (a + b)^2}[/tex]
Difference of square binomials
This is easily identified because, the terms of the square binomials are perfect squares.
The difference of square binomials is represented as:
[tex]\mathbf{a^2 - b^2 = (a + b)(a - b)}[/tex]
Sums and difference of cubes
When cubes are added or subtracted, they can be expressed using the following
[tex]\mathbf{a^3 + b^3 = (a + b)(a^2 - ab + b^2)}[/tex] --- sum of cubes
[tex]\mathbf{a^3 - b^3 = (a - b)(a^2 + ab + b^2)}[/tex] --- difference of cubes
Read more about binomial and trinomial at:
https://brainly.com/question/12289266
Anyone know the answer ASAP please
Answers
Answer:
x= -9/4 or -3
second one is x=5/6 or -8
Answer:
see explanation
Step-by-step explanation:
Given
4x² + 21x + 27 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 4 × 27 = 108 and sum = 21
The factors are 12 and 9
Use the factors to split the x- term
4x² + 12x + 9x + 27 = 0 ( factor the first/second and third/fourth terms )
4x(x + 3) + 9(x + 3) = 0 ← factor out (x + 3) from each term
(x + 3)(4x + 9) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
4x + 9 = 0 ⇒ 4x = - 9 ⇒ x = - 2.25
--------------------------------------------------------------------
Following the same method as the previous question
Given
6x² + 43x - 40 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × - 40 = - 240 and sum = + 43
The factors are + 48 and - 5, thus
6x² + 48x - 5x - 40 = 0
6x(x + 8) - 5(x + 8) = 0
(x + 8)(6x - 5) = 0
x + 8 = 0 ⇒ x = - 8
6x - 5 = 0 ⇒ 6x = 5 ⇒ x = [tex]\frac{5}{6}[/tex]
Find the
a
circle
circumference of
whose
area is 616 cm
Answers
Answer: 88 cm
Step-by-step explanation:
The area of a circle is A=πr². Since we know the area, we can use find the radius, and use the radius to find the circumference,
616=πr²
196=r²
r=14
Now that we have the radius, we can use it to find the circumference. The formula for circumference is C=2πr.
C=2π(14)
C=28π
C=88 cm
Answer: 87.96 cm
Step-by-step explanation:
Radius = √a/π
=√616 / π = 14 cm
Circumference = 2πr
= 2 x π x 14
= 87.96 cm
Claire is on a business trip. She’ll be traveling from Liverpool, England, to Melbourne, Australia. The latitude value of Liverpool is 53.41 degrees, and the longitude value is -2.99 degrees. The latitude value of Melbourne is -37.81 degrees, and the longitude value is 144.96 degrees. The two cities are degrees apart in latitude. The two cities are degrees apart in longitude.
Answers
Answer:
The change in latitude, Δφ, from Liverpool to Melbourne is 91.22° south
The change in longitude, Δλ, from Liverpool to Melbourne is 147.95° East
Step-by-step explanation:
The parameters given are;
The latitude of Liverpool is 53.41°
The longitude of Liverpool is -2.99°
The latitude of Melbourne is -37.81°
The longitude of Melbourne is 144.96°
The change in latitude from Liverpool to Melbourne = Δφ
Δφ = 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°
The change in latitude, Δφ, from Liverpool to Melbourne = 91.22° south
The change in longitude from Liverpool to Melbourne = Δλ
Δλ = -2.99° - 144.96° = -147.95°
Therefore the change in longitude from Liverpool to Melbourne = 147.95° East.
Answer:
the difference in latitude is 91.22°
the difference in longitude is 147.95°
Explanation:
For Liverpool, London. The latitude is 53.41°, longitude is -2.99°
For Melbourne, Australia. The latitude is -37.81°, longitude is 144.96°
The negative or positive magnitude of their values shows their position on either sides of the origin of the latitude (equator) and the origin of the longitude (prime meridian).
The latitude measures the relative position of a point, north or south of the equator (latitude 0°). The longitude measures the relative position, east or west of the prime meridian (longitude 0°)
the difference in latitude is 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°
the difference in longitude = 144.96° - (-2.99°) = 144.96 + 2.99 = 147.95°
4x+2y=10 5x+3y=12 solve the simultaneous question
Answers
Answer:
x = 3
y = -1
Step-by-step explanation:
→You can use the elimination method. To do this you must have either the x or y-values have the same value, but opposite signs. For this, we can choose y:
4x + 2y = 10
5x + 3y = 12
→Multiply (4x + 2y = 10) by -3, and (5x + 3y = 12) by 2:
-12x - 6y = -30
10x + 6y = 24
____________
-2x = -6
→Divide both sides by -2:
x = 3
→Plug in 3 for x into an equation:
4x + 2y = 10
4(3) + 2y = 10
12 + 2y = 10
2y = -2
y = -1
Which is a property of an angle
Answers
Answer:
it had made of two lines including an angle...
Write an equation to represent the following statement. 33 is 15 less than k. Solve for k. k= ___
Answers
Answer:
k = 48
Step-by-step explanation:
k - 15 = 33
Add 15 to both sides
k - 15 +15 = 33 +15
k = 48
f(x) = x + 2
g(x) = x - 4
(f g)(x) =
0 2x- 2
O x² – 8
o x² – 2x- 8
o x² + 2x - 8
Answers
Answer:
(fg)(x) = x^2 -2x -8
Step-by-step explanation:
(fg)(x) = f(x)·g(x) = (x +2)(x -4)
= x(x -4) +2(x -4) = x^2 -4x +2x -8
= x^2 -2x -8 . . . . matches the 3rd choice
What is the slope of the line shown?
Answers
Answer:
1/2
Step-by-step explanation:
The slope is one half, because every time x increases by 1, y increases by 1/2. You can find the slope using the rise over run strategy. You choose a point, and you also choose the point to the right of the point you first chose. You then count how many units up and to the right the right point is.
Its Up/Right.
This version of rise over run however only works when the line is going up.
Please help! Correct answer only!
Belle got a summer job at a movie theater cleaning the aisles after each film. This Sunday, 9 movies are scheduled to show, 7 of which feature an alien as the one main protagonist.
If Belle is randomly assigned to clean up after 6 movies, what is the probability that all of them feature an alien as the one main protagonist?
Write your answer as a decimal rounded to four decimal places.
Answers
Answer:
Probability ≈ 0.0833
Step-by-step explanation:
Consider steps below;
[tex]Total Possible Outcomes - 9C6,\\\\9! / 6! ( 9 - 6 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 / ( 1 * 2 * 3 * 4 * 5 * 6)( 1 * 2 * 3 ),\\\\362,880 / 720 * 6 = Combinations - 84,\\\\[/tex]
[tex]Number Of Outcomes - 7C6,\\\\7! / 6! ( 7 - 6 )!,\\1 * 2 * 3 * 4 * 5 * 6 *7/ ( 1 * 2 * 3 * 4 * 5 * 6 ) ( 1 ),\\\\Outcomes - 7[/tex]
[tex]Conclusion ; Solution - 7 / 84 = ( About ) 0.0833\\Hope That Helps![/tex]
Solution; Probability ≈ 0.0833
