Answer:
y=5·3x
Step-by-step explanation:
x=0, y=5:
5=a·b↑0 a=5
x=1, y=15:
15=5·b↑1
b=15/5=3
The equation of the exponential function is y = 5(3)ˣ
What is an exponential function?An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
Given,
x: 0, 1, 2, 3
y: 5, 15, 45, 135
We have to find the exponential equation:
The exponential function in the form:
y = a × b ˣ
y value of x as 0 is 5.
This is the a value in the equation.
The ratio of values between x as 1 and x as 0 is 15/5 which is equal to 3. This is the value of b in the equation.
Therefore, the equation will become:
y = 5 × 3 ˣ
Hence the equation of the exponential function is y = 5(3)ˣ
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-2-(3(x+6)-9-(7-x)-3x
Answer:
- 24 - 5x
Step-by-step explanation:
1) Remove Parentheses
-2 - 3x - 6 - 9 - 7 + x - 3x
2) Collect like terms
( -2 - 6 - 9 - 7) + (-3x+x-3x)
3) Simplify
PLEASE SHOW YOUR WORK!!!
Solve for y: 3^3 + 14 y- (25y - 13) = y + 7y - 9y
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3^3+14*y-(25*y-13)-(y+7*y-9*y)=0
Equation at the end of step 1
((3³ + 14y) - (25y - 13)) - -y = 0
Pull out like factors :
40 - 10y = -10 • (y - 4)
Equation at the end of step3:
-10 • (y - 4) = 0
STEP4:
Equations which are never true:
Solve : -10 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
Solve : y-4 = 0
Add 4 to both sides of the equation :
y = 4
[tex]y = 4[/tex]Lin's family has completed 30% of a trip, they have travelled 45 miles. How far is the trip?
Answer:
2 hours
Step-by-step explanation:
Answer:
150 miles
Step-by-step explanation:
45/3=15
15*7=105 15*3=45
105+45=150
15*10=150
:)
The number 40.8 is what percent of 68?
What are the solutions to this quadratic equation? x2+6x-5 A. B. C. D.
SUBTRACT the given polynomials : (x + 2) - (8x + 4)
A}7x + 2
B}7x - 2
C}-7x - 2
D}-7x + 2
WELP ;-;
The equivalent expression for the subtraction (x + 2) - (8x + 4) is -7x - 2
Option C is correct
The given polynomial expression is:
(x + 2) - (8x + 4)
Expand the expression by removing the parenthesis
x + 2 - 8x - 4
Collect like terms
x - 8x + 2 - 4
-7x - 2
Therefore, the equivalent expression for the subtraction (x + 2) - (8x + 4) is -7x - 2
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Tell whether the pairing is a function.
2.
Input
3
6
9
12
Output
1
2
N
1
Is it a function?
Answer:
I believe that it is function
3/4 x 2 5/8 ÷ 2 + 10/12
Determine which consecutive integers do not have a real zero of f(x) = x3 + 9x2 + 8x – 5 between them.
The difference between the two is 4,5
PLEASE HELP!!
What is the equation that represents the sequence shown below?
7/2, 7/4, 7/8, 7/16, ….
Answer:
7/2(1/2)^(n-1)
Step-by-step explanation:
multiplied by 1/2 each time, and first one is 7/2, so 7/2(1/2)^(n-1)
A substance with a half life is decaying exponentially. If there are initially 12 grams of the substance and after 2 hours there are 7 grams, how many grams will remain after 3 hours? Round your answer to the nearest hundredth, and do not include units.
If there initially 12 grams of the substance, 5.35 grams will remain after 3 hours
The initial amount, a = 12 grams
The amount after 2 hours, y = 7 grams
Time taken, x = 2 hours
First, let us calculate the decay constant, b
The formula for the final value of an exponential decay is:
[tex]y=a(1-b)^x[/tex]
Substitute y = 12, a = 7, and x = 2 into the equation to solve for b
[tex]7=12(1-b)^2\\\\\frac{7}{12} = (1-b)^2\\\\0.583=(1-b)^2\\\\\sqrt{0.583} = 1 - b\\\\0.764=1-b\\\\b=1-0.764\\\\b=0.236[/tex]
The decay constant, b = 0.236
After 3 hours:
Substitute x = 3, a = 12, and b = 0.236 to solve for y
[tex]y=a(1-b)^x\\\\y=12(1-0.236)^3\\\\y = 5.35[/tex]
Therefore, 5.35 grams will remain after 3 hours
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SOmeone help me i'm stuck on thia question
Answer:
17
Step-by-step explanation:
if in a game of glass stepping stones. there are 18 tiles of glass. two in each row. one is tempered and will be fine if you jump on it. and the other will break. if 1 player was to play what are his/her chances of getting across?
(NO links)
Lamis purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Lamis paid.
A circle has diameter 11 cm
Pythagoras theorem
Please answer will mark BRAINELIST:)
Six less than the product of 8 and a number equals 2
Answer:
unknown number = 1
Step-by-step explanation:
Let the unknown number be x.
(8×x)-6=2
8x-6=2
8x=2+6
=8
x=8÷8
=1
Hence, unknown number = 1.
Given f(x) and g(x) are inverse functions. If f(-2)=1 then g(1)=-2
True
False
True.
The y-axis of the f(x) must equal to the x-axis of g(x)
The x-axis of the f(x) must equal to the y-axis of g(x)
20. True or False
When you multiply or divide
by a negative number, you
flip the sign
Answer:
That is true
You must flip the sign when you are multiplying or dividing by a negative number
pls pls pls help!!!!
Determine the simple interest earned when $6, 100 is invested at a rate of 5% for 4 years.
$1,220
$305
$610
$1,525
Answer: I think A 1,220 (I'm not sure)
Step-by-step explanation:
the aswer is A.1,220 si think si correct.
Rewrite as equivalent rational expressions with denominator (c- 9) (c+9)(c + 6):
Answer:
Step-by-step explanation:
as (c + 9)(c - 9) = c² - 81
and (c - 9)(c + 6) = c² - 3c - 54
8(c + 6) = 8c + 48
(c² - 81)(c + 6) (c - 9)(c + 9)(c + 6)
10c(c + 9) = 10c² + 90c
(c² - 3c - 54)(c + 9) (c - 9)(c + 9)(c + 6)
The equivalent rational expressions with denominator (c- 9) (c+9)(c + 6) are;
1. 8 / (c² - 81) = 8 / (c + 9) (c - 9)
2. 10c / (c² - 3c - 54) = 10c / (c + 6) (c - 9)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expressions are,
1. 8 / (c² - 81)
2. 10c / (c² - 3c - 54)
Now,
Solve the expressions for the denominator (c- 9) (c+9)(c + 6) as;
1. 8 / (c² - 81) = 8 / (c² - 9²)
= 8 / (c + 9) (c - 9)
Thus, 8 / (c² - 81) = 8 / (c + 9) (c - 9)
2. 10c / (c² - 3c - 54) = 10c / (c² - (9- 6)c - 54)
= 10c / (c² - 9c + 6c - 54)
= 10c / [c(c-9) + 6(c - 9)]
= 10c / (c + 6) (c - 9)
Thus, 10c / (c² - 3c - 54) = 10c / (c + 6) (c - 9)
Therefore, The equivalent rational expressions with denominator (c- 9) (c+9)(c + 6) are;
1. 8 / (c² - 81) = 8 / (c + 9) (c - 9)
2. 10c / (c² - 3c - 54) = 10c / (c + 6) (c - 9)
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Which equations and/or functions represent the graphed line? Select three options.
i included the graph and choices in the attachment (;
Answer:
1,3,4
Step-by-step explanation:
hope this helped
Graph the image of this figure after a dilation with a scale factor of 12centered at the origin.
Use the polygon tool to graph the dilated figure.
Answer:
1.(-4,2)
2.(2,4)
3.(-2,8)
Answer:
(1,2) (0,4) (-4,2)
Step-by-step explanation:
took the quiz and got it right.
Ben left town a at 22:25 and arrived at Stone b at 2:40 the next morning how long did is Journey take
Answer: The journey took 4 hours and 15 minutes.
Please Help! it's simple!
Answer:
28.27
circumference of finding a circle divided by two.
[tex](2\pi \:r {}^{2} ) \div 2[/tex]
(2×3.14×9)/2
56.55/2
28.27
20 feel from the ground i need a ladder placed 15 feet from the house what is the length
Answer:
helooo
Step-by-p explanation:
Which inequality represents this sentence?
A number is no less than 48.
n < 48
n > 48
n < 48
n>48
The inequality that can be used to represent the information that a number is no less than 48 will be n > 48.
Inequality simply means a mathematical expression that is used in which the sides aren't equal to each other.
It should be noted that the expression that a number is no less than 48 means the number is greater than 48. Therefore, the inequality is n > 48.
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Answer: The correct answer is n≥48
Step-by-step explanation: Give me the brainiest
Select the statements which could describe the graph of a nonproportional relationship.
Answer:
what it says iiiiiiii888i888iiiii
string is 38 cm longer than his desk. Length of his reading book is 26 cm, what is the length of his string?
Answer:
has in lenght of 2 or 5
Step-by-step explanation:
odyssey ware
ig i d k
What do you measure the amount of water in a vase
Rewrite 2/11 and 1/7 so that they have a common denominator
Answer:its 22 and 7...........................
Step-by-step explanation: