The cοmplete equatiοn fοr h(x) is h(x)=4
What is an expοnential functiοn?An expοnential functiοn is a mathematical functiοn οf the fοrm f(x) = a^x, where a is a cοnstant and x is the variable. The cοnstant a is called the base οf the expοnential functiοn, and it is typically a pοsitive real number. When a is greater than 1, the functiοn represents expοnential grοwth, while when a is between 0 and 1, the functiοn represents expοnential decay.
Expοnential functiοns have sοme special prοperties, such as the fact that the rate οf change οf the functiοn is prοpοrtiοnal tο its value. In οther wοrds, the larger the value οf the functiοn, the faster it grοws οr decays. Expοnential functiοns alsο have a hοrizοntal asymptοte at y = 0 when a is between 0 and 1, and nο hοrizοntal asymptοte when a is greater than 1.
Expοnential functiοns are widely used in mathematics, science, ecοnοmics, and engineering tο mοdel phenοmena that exhibit expοnential grοwth οr decay, such as pοpulatiοn grοwth, radiοactive decay, and cοmpοund interest. They are alsο used in prοbability theοry tο mοdel the distributiοn οf randοm variables, such as the expοnential distributiοn.
Tο cοmplete the equatiοn fοr h(x), we need tο find the values οf a and b in the expοnential functiοn that cοrrespοnd tο the given table οf values:
x | h(x)
0 | 10
1 | 10
2 | 10
3 | 4
4 | 4
5 | 4
Since the value of h(x) is constant (equal to 10) for x = 0, 1, and 2, we know that [tex]b^0 = b^1 = b^2 = 1[/tex], which implies that b = 1.
Substituting b = 1 into the exponential function, we have:
[tex]h(x) = a * 1^x = a[/tex]
To find the value of a, we can use any of the given values of h(x) for which x > 2. For example, when x = 3, we have:
h(3) = 4 = a
Therefore, the complete equation for h(x) is:
[tex]h(x) = 4 * 1^x = 4[/tex]
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Please help me I need it please please
Answer:
56%
Step-by-step explanation:
This is percentage increase and its calculated with the formula:
C2 = x2 - x1 x 100
x1 1
where x2 = final value (75 inches)
x1 = initial value (48 inches)
c2 = relative value
pecentage increase = 100
so we say, 75 - 48 x 100
48 1
27 x 100
48 = o.5625 x 100 = 56.25%.
approximated to the nearest percent becomes 56%
S is located at (9 -3) point T is located at (4 -3)
what is the distance from point S to point T
Answer:
5
Step-by-step explanation:
The distance formula is:
[tex]d = \sqrt {\left( {x_2 - x_1} \right)^2 + \left( {y_2 - y_1} \right)^2 }[/tex]
We can plug in the given coordinates into the equation:
[tex]d = \sqrt {\left( {4 - 9} \right)^2 + \left( {-3 - (-3)} \right)^2 }\\d = \sqrt {\left( {-5} \right)^2 + \left( {-3+3} \right)^2 }\\d = \sqrt{25 + \left( {0} \right)^2 }\\d=\sqrt{25+0}\\d=\sqrt{25}\\d=5[/tex]
can anyone help me to solve this question
Answer:
D.
Step-by-step explanation:
Use the TOA from SOH CAH TOA.
Your tan(C) is opposite (12) divided by adjacent (5).
Find the distance between the points (-4,1) and ( – 4, -8).
Answer: 9 units
Step-by-step explanation:
If you draw this one out, you should be able to notice that it is only a vertical distance it travels, which means that the difference in y-units should give you the distance.
What 8 letter word can have taken away and it still make a word .Take another letter away and it still make a word .Keep on doing that until you have one letter Left What is the word?
Brainly pls help me this is k12
Answer:
228
Explain your answer:
Answer:
A = 228 ft²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the height and b₁, b₂ the parallel bases
here h = 12 and b₁ = 14, b₂ = 24 , then
A = [tex]\frac{1}{2}[/tex] × 12 × (14 + 24) = 6 × 38 = 228 ft²
Order the steps to solve the equation log(x2 − 15) = log(2x) form 1 to 5.
The order of the steps to solve the provided logarithmic equation is arranged as,
[tex](x^2 - 15) =(2x)[/tex]
[tex]x^2 +2x-15=0[/tex]
[tex](x-5)(x+3)=0[/tex]
[tex]x-5=0,x+3=0[/tex]
Potential solution are -3 and 5.
What is exponent of log rule?The exponent of the log rule says that the raising a logarithm with a number to its base is equal to the number.
When the base is common ion equality equation, then the two log values can be compares using exponent rule of logarithm.
The given logarithmic equation in the problem is,
[tex]\log(x^2 - 15) = \log(2x)[/tex]
The order of solution of the above expression,
Step 1,As the base is common, then the two log values can be compares using exponent rule of logarithm.
[tex](x^2 - 15) =(2x)[/tex]
Step 2,Bring all the terms, one side of the expression as,
[tex]x^2 +2x-15=0[/tex]
Step 3,Find the factors of the above quadratic equation using the split the middle term method as,
[tex]x^2 -5x+3x-15=0\\x(x-5)+3(x-5)=0\\(x-5)(x+3)=0[/tex]
Step 4,Equate the factors to the zero to find out the values of x,
[tex]x-5=0,x+3=0[/tex]
Step 5,The potential solution are,
[tex]x=5,-3[/tex]
Thus, the order of the steps to solve the provided logarithmic equation is arranged as,
[tex](x^2 - 15) =(2x)[/tex]
[tex]x^2 +2x-15=0[/tex]
[tex](x-5)(x+3)=0[/tex]
[tex]x-5=0,x+3=0[/tex]
Potential solution are -3 and 5.
Learn more about the rules of logarithmic function here;
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This question I’m stuck on please help x
Answer: 9
Step-by-step explanation: Root 18 can be broken down into root ( 9 times 2). 9 is a square root & can be taken out as its root. Root 18 equals 3 times root 2. Multiple both 12/root & 3 root 2 by root 2. Leaves 12 + 3 times 2 or 18. Now gotta take that root 2 we multiplied by back out. Break 18 into its parts, 9 times 2. Divide the 2 by root 2, gives you root 2. So 9 times root 2. Don't have to divide 9 as well, because they all the same type of operation, multiplication/division, no adding.
Anna baked 333 batches of cookies with ccc cookies in each batch. She then ate 888 cookies!
How many cookies does Anna have left?
Write your answer as an expression.
Answer:
okay so anna bakes 333 batches of whatever amount of cookies but she be bakin a ton of cookies. Like we got a whole walmart filled with anna cookies.
so we are going to make this into an expression by saying 333n-888
okay so because anna is chronically obese, she eats 888 cookies. this means we subtract 888 cookies from 333(some number) amount of cookies.
your answer?
333n - 888
you can thank me later. Good luck.
Answer:
3c-8
Step-by-step explanation:
khan
System of Linear Equations - Elimination
Given that x and y are real numbers satisfying the equations 32 – 2y = 22 and 7x + 3y =
105, what is the value of x+y
I will mark for brainliest and 100 point
Answer:
the explanation is in the diagram
if you noticed I multiplied the second equation all through by minus so the positive 9 turned negative when multiplied by minus so negative 14 + negative 9 gives negative 23
Step-by-step explanation:
32-2y=22
y=5 because 32 minus 10 is 22 and 2y is 10
7x + 3y= 105
same as
7x + 15 = 105
7x = 90
X = 90/7
X = 12.8571429
X+y= 17.8571429
brainliest?
a __________ is a collection of numbers gathered to give some meaningful information
a data is a collection of numbers gathered to give some meaningful information
Answer:
[tex]data[/tex]
is the correct answer and have a great day bye
Step-by-step explanation:
[tex]kai6417[/tex]
Directions: Simplify each term by factoring.
1. 3rs
2. 12xy
3. 5x2
4. 36x2
5. 25x2
6. 30x2
7. 5x3
8. 24y3
9. 9xy
10. 12x4
Answer/Step-by-step explanation:
[1] [tex]3rs = 3 * r *s[/tex]
[2] [tex]12xy = 2*2*3*x*y[/tex]
[3] [tex]5x^2=5*x*x[/tex]
[4] [tex]36x^2=2*2*3*3*x*x[/tex]
[5] [tex]25^2=5*5*x*x[/tex]
[6] [tex]30x^2=2*3*5*x*x[/tex]
[7] [tex]5x^3=5*x*x*x[/tex]
[8] [tex]24y^3=2*2*2*3*y*y*y[/tex]
[9] [tex]9xy=3*3*x*y[/tex]
[10] [tex]12x^4=2*2*3*x*x*x*x[/tex]
Factoring means to factor a number means to break it up into numbers that can be multiplied together to get the original number.
[tex][RevyBreeze][/tex]
Answer:
[1] 3*r*s
[2] 12ry=2*2*x*y
[3] 5x2=5*x*x
[4] 36x2=2*2*3*3*x*x
(5] 252=5*5*x*x
[6] 30x2=2*3*5*x*x
[7] 5x3=5*x*x*x
[8] 24y3=2*2*2*3*y*y*y
[9]9xy=3*3*x*y
[10] 12x4= 2*2*3*x*x*x*x
Step-by-step explanation:
i rented a gym for $150.00 for 30 students. another time i rented the gym for $270.00 for 70 students. charge for 50 students
Answer:
y = 3x + 60
Step-by-step explanation:
20x + 6 What is the constant?
Answer:
Step-by-step explanation:
The constant is 6
Hope this helps!
10 is to the power of one hundred because it is a factor of itself true or false?
True.
[tex]10^{10}[/tex] = 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000.
Its a factor which can be written in short and simplified form.
Consider the graph of function g.
If f(x) = x2, which equation represents function g?
A. g(x)=f(2x)
B. g(x)=f(4x)
C. g(x)=2f(x)
D. g(x)=f(1/2x)
Answer:
FOR PLATO USERS
The answer is D. g(x) = f(1/2x)
Step-by-step explanation:
A graph with f(x) = x^2 starts at point zero, just like the picture shown below, so we can only predict that the new function was stretched horizontally. The parent function, f(x) = x^2, has the following points
[tex]\left[\begin{array}{ccc}x&&y\\1&&1\\2&&4\end{array}\right][/tex]
terrible table i know (pretend its a table chart) but these are the points of a normal f(x) graph. The points of the NEW graph is:
[tex]\left[\begin{array}{ccc}x&&y\\2&&1\\4&&4\end{array}\right][/tex]
It appears that the x values in the parent function table are half of the x values in the new graph table. So, the new function would be
[tex]g(x)=f(\frac{1}{2} x)[/tex]
#platolivesmatter
I will give you 30points
y = x + 4
5x + 3y = -4
Help please system by substitution
And help with y = 2x and
-8x – 2y = 24
1)
y = x + 4
5x + 3y = -4
5x + 3(x + 4) = -4
5x + 3x + 12 = -4
8x + 12 = -4
8x = -4 -12
8x = -16
x = -2
substitute x into the equation
y = -2 + 4
y = 2
Answers : x = -2 , y = 2
Answer:
1) [tex]{y,x}={2,-2}[/tex]
2) [tex]{y,x} = {-4,-2}[/tex]
Step-by-step explanation:
1) [tex]y=x+4 \\ 5x+3y=-4[/tex] <---------- given linear equations
Equations Simplified or Rearranged :
[tex]y - x = 4 \\3y + 5x = -4[/tex]
Graphic Representation of the Equations : PICTURE #1
[tex]x + y = 4 \\5x + 3y = -4[/tex]
Solve by Substitution :
// Solve equation [1] for the variable y
[tex][1] y = x + 4[/tex]
// Plug this in for variable y in equation [2]
[tex]3*(x +4) + 5x = -4 \\ [2] 8x = -16[/tex]
// Solve equation [2] for the variable x
[tex]8x = - 16 x = - 2[/tex]
// By now we know this much :
[tex]y = x+4\\ x = -2[/tex]
// Use the x value to solve for y
[tex]y = (-2)+4 = 2[/tex]
Solution :
[tex]{y,x} = {2,-2}[/tex]
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2) [tex]y=2x \\-8x-2y=24[/tex] <----- linear equations given
Equations Simplified or Rearranged :
[tex]y - 2x = 0 \\ -2y - 8x = 24[/tex]
Graphic Representation of the Equations : PICTURE #2
[tex]-2x + y = 0 \\\\-8x - 2y = 24[/tex]
Solve by Substitution :
// Solve equation [1] for the variable y
[tex][1] y = 2x[/tex]
// Plug this in for variable y in equation [2]
[tex][2] -2*(2x) - 8x = 24\\ [2] - 12x = 24[/tex]
// Solve equation [2] for the variable x
[tex][2] 12x = - 24 [2] x = - 2[/tex]
// By now we know this much :
[tex]y = 2x \\ x = -2[/tex]
// Use the x value to solve for y
[tex]y = 2(-2) = -4[/tex]
Solution :
[tex]{y,x} = {-4,-2}[/tex]
how do i graph y=-2x - 3
Answer:
graph
Step-by-step explanation:
You would start at -2 then you would go down 3 and right 1, and then you keep doing it until you have no more graph.
50 pht helppppppppppppppppppppppppppppppppppppppp
Answer:
$1620
Step-by-step explanation:
The area of the lawn is a trapezoid.
Area of a trapezoid = [tex]\dfrac12(a+b)h[/tex]
where a and b are the parallel sides (bases) and h is the height
Therefore,
[tex]area=\dfrac12(15+12) \times 10 = 135 \ m^2[/tex]
If the price of sod is $12 per square meter, then
total cost = 135 x 12 = $1620
Answer:
Area=1/2(Sum of parallel sides)×HeightArea:-
[tex]\\ \tt\hookrightarrow \dfrac{1}{2}(15+12)\times 10=1/2(27)(10)=13.5(10)=135m^2[/tex]
Now rate of cost is $12
Total cost=135(12)=1620$Grace biked for 8 miles in 1 hour on Monday. She covered 18 miles in 2 hours the next day. On which day did Grace bike at a faster pace?
Solution:
Note that:
[tex]Speed = \frac{Distance}{Time}[/tex]Find the speed of her bike of both the days and compare.
Speed on Monday = 8 miles/1 hour = 8 m/hSpeed on the next day = 18 miles/2 hours = 9 m/hThis means that:
=> 9 m/h > 8 m/hHence, the day after Monday is the day, she rode her bike faster than on Monday.
Answer:
The next day
Step-by-step explanation:
she covered 8 miles in 1 hour on Monday but on tuesday she covered 9 miles in 1 hour so she biked faster the next day.
Cassie’s broker charges her a commission of $4. 25 for every ten shares of stock bought or sold. Cassie buys 92 shares of Hyren Airlines, 130 of Giaco Household Goods, and 126 of Iwad Records. Hyren Airlines costs $13. 70 per share, Giaco Household Goods costs $3. 28 per share, and Iwad Records costs $8. 06 per share. To the nearest dollar, how much money did Cassie spend in total? a. $3,851 b. $2,850 c. $2,702 d. $2,551 Please select the best answer from the choices provided A B C D.
Answer:
2850
Step-by-step explanation:
Luna drew a scale drawing of the high school. The parking lot, which is 54 meters wide in real life, is 102 centimeters wide in the drawing. What scale did Luna use? 17 centimeters:___meters
Scale drawings are used to draw shapes in a different proportional size
The scale used in the drawing is 17 centimeters : 9 meters
How to determine the scale of the drawingFrom the question, we have:
Real length = 54 metersScale length = 102 centimetersSo, the scale is:
Scale = Scale length : Real length
This gives
Scale = 102 centimeters : 54 meters
Reduce the scale
Scale = 17 centimeters : 9 meters
Hence, the scale used in the drawing is 17 centimeters : 9 meters
Read more about scale drawings at:
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Answer: The answer is 9 meters.
Help me with this please?
Answer:
[tex]\sqrt{51}[/tex] or 7.14
Step-by-step explanation:
Using the Pythagoras theorem, we can conclude the formula that we are going to use here is [tex]a^{2}+b^{2} = c^{2}[/tex]
As we can see, this is a right triangle given that it has the square in the corner there. With this information, we can conclude that the longest side is 10, making it the hypotenuse or [tex]c[/tex]
Now we need to find [tex]b[/tex] in the formula of [tex]a^{2}+b^{2} = c^{2}[/tex] making the equation [tex]b^{2} = c^{2} - a^{2}[/tex] or [tex]b = \sqrt{ c^{2} - a^{2}}[/tex]
Given the provided information, this would be [tex]b^{2} = 10^{2} - 7^{2}[/tex] or [tex]b = \sqrt{ 10^{2} - 7^{2}}[/tex]
Simplifying it would be [tex]b = \sqrt{ 100-49[/tex] = [tex]\sqrt{51}[/tex]
The radical form would be [tex]\sqrt{51}[/tex]
While it's integer would be 7.14
Hope this helps!
Answer:
Step-by-step explanation:
Use Pythagorean theorem,
Let the third side =x
base² + altitude² = hypotenuse²
7² + x² = 10²
49 + x² = 100
x² = 100 - 49
x² = 51
x = √51
What do i type as an answer?
Answer:
g.c.f = 3g²
Step-by-step explanation:
Breakdown:
3g² → 3 * g * g
9g³ → 3 * 3 * g * g * g
3 * g * g is the common between them.Therefore the gcf is 3g²
Area is: 9x^5 - 27x square units
Width is: 9x
What is the length of the rectangle?
A. X^4-14
B. X^5-3
C. 9x^5-27x
D. X^4-3
E.x^5-3x
F. X^4-3x
Answer:
x⁴-3
Step-by-step explanation:
A= L * W
9x⁵-27x = 9x * L
9x(x⁴-3)= 9x * L
L = [9x(x⁴-3)] / 9x
L= x⁴ -3
Help plsss!?!?!??!?!??>...................................
Answer:
A,B,D
Step-by-step explanation:
case A) If the price is marked down by percent, the new price will be
we know that
If the price is marked down by 10 percent
then the new price will be
10%= 10/100=0.10
(1 - 0.10) *$28= 0.90 * $28
=$25.20
therefore The statement case A) is True
case B) If the price is marked down by 25 percent, the new price will be $21
we know that
If the price is marked down by 25 percent
then the new price will be
25%=25/100=0.25
(1-0.25)* $28=0.75*$28
=$21
therefore The statement case B) is True
case C) If the price is marked down by 50 percent, the new price will be $19 we know that
If the price is marked down by 50 percent
then the new price will be
50%=50/100=0.50
(1-0.50)*$28= 0.50*$28
=14
therefore The statement case C) is False
case D) If the price is marked down by 35 percent, the new price will be $18.20
we know that
If the price is marked down by 35 percent
then the new price will be
35%= 35/100=0.35
(1-0.35)* $28=0.65*$28
=18.20
therefore The statement case D) is True
case E) If the price is marked down by 40 percent, the new price will be $29.80 we know that
If the price is marked down by 40 percent
then the new price will be
40%=40/100=0.40
(1-0.40)*$28= 0.60*$28
=$16.80
therefore The statement case E) is False
can anyone help with this
c)29.75
Step-by-step explanation:
sin 24° =12.1/x
x= 12.1/sin24
x=29.75
Which of the following is the graph of y = X + 4
Answer:
x = – 4(i just use app sorry if I'm wrong)
Hi guys
how many is 45÷0,5=
Thanks for this answer
Answer:
See below.
Step-by-step explanation:
45/0.5 can also be written as 45*2.
So, 45/0.5 is 90.
-hope it helps
Find the inverse matrix or type
"none". (Use decimals)
3
2
4
1
? ]
Enter
Answer:
[tex]\left[\begin{array}{cc}-0.2&0.4\\0.8&-0.6\end{array}\right][/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{cc}3&2\\4&1\end{array}\right] ^{-1} =\frac{1}{3*1-2*4} \left[\begin{array}{cc}1&-2\\-4&3\end{array}\right]=(-0.2)*\left[\begin{array}{cc}1&-2\\-4&3\end{array}\right]=\left[\begin{array}{cc}-0.2&0.4\\0.8&-0.6\end{array}\right]\\[/tex]