The equation that represents the function is [tex]y = 2(\frac 12)^x[/tex]
The graph is an exponential function, and it passes through the points:
[tex](x,y) = (1,1)\ (0,2)[/tex]
An exponential function is represented with:
[tex]y = ab^x[/tex]
At (0,2), we have:
[tex]ab^0 = 2[/tex]
This gives
[tex]a(1) = 2[/tex]
[tex]a = 2[/tex]
At (1,1), we have:
[tex]ab^1 = 1[/tex]
[tex]ab = 1[/tex]
Substitute 2 for (a)
[tex]2b = 1[/tex]
Divide both sides by 2
[tex]b = \frac 12[/tex]
Substitute values for a and b in [tex]y = ab^x[/tex]
[tex]y = 2(\frac 12)^x[/tex]
Hence, the equation that represents the function is [tex]y = 2(\frac 12)^x[/tex]
Read more about exponential functions at:
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x^2 + bx - 4 = 0?
What is b equal to?
[tex]\mathfrak{ x ^ { 2 } + b x - 4 = 0} [/tex]
[tex]\mathfrak{bx-4=-x^{2} } [/tex]
[tex]\mathfrak{bx=-x^{2}+4 } [/tex]
[tex]\mathfrak{xb=4-x^{2} } [/tex]
[tex]\mathfrak{\frac{xb}{x}=\frac{4-x^{2}}{x} } [/tex]
[tex]\mathfrak{ b=\frac{4-x^{2}}{x} } [/tex]
[tex]\mathfrak{b=-x+\frac{4}{x} } [/tex]
AnSwEr
[tex]\boxed{\mathfrak{b=-x+\frac{4}{x},x\neq 0 } }[/tex]
ღ ꪑ꠸᥅ꫀꪊ
Please help!
Having lots of trouble with math :)
Hemp help help math math
Answer:
This is not a linear function, as it isn't any function because 3 has two outputs.
Step-by-step explanation:
Explained above
Fill in the missing values.
151.5 cm =? m
151.5 cm = ? m
(Type an integer or a decimal.)
Answer:
151.5 cm = 1.515 m
151.5 cm = 1515/1000 m
HURRY!! SUPER SUPER QUICK!!
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ILL GIVE CROWN, STARS, and HEARTS if you answer correctly!
Problem:
6.02 Quiz: One-Step Multiplication or Division Inequalities
On k12
PLEASE ANSWER THEM ALL! VERY LEAST IS ALL YOU KNOW BUT PLEASE DO ALL, AMD CORRECTLY FOR CROWN!
Answer: m>-50
x<=3 3/4
at point -2.1 3rd arrow
at 1.33 4th arrow
at 4 2nd arrow
Step-by-step explanation:
Help help help math math
Answer: -1 = (-3/3)
Step-by-step explanation
You go from one point to another, i started from 3,1 and went to 3,0. I got down -3 which is my rise and right 3 for the run. Tell me if this is correct
please help me and solve it
Answer:
Step-by-step explanation:
What is 23/9+17/9 adding fractions
Answer:
[tex]\boxed{\tt \frac{40}{9}} \ \sf or \ \boxed{\tt 4 \frac{4}{9}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to solve for the sum of 2 fractions.}[/tex]
[tex]\large\underline{\textsf{What are Fractions?}}[/tex]
[tex]\textsf{Fractions are representations of rational numbers that can be represented as part}[/tex]
[tex]\textsf{of a whole number.}[/tex]
[tex]\underline{\textsf{What are the parts of a fraction?}}[/tex]
[tex]\textsf{Fractions have 2 parts, they're called the Numerator and the Denominator.}[/tex]
[tex]\frac{\sf Numerator}{\sf Denominator}[/tex]
[tex]\textsf{The Numerator represents the amount of equal parts a certain rational number}[/tex]
[tex]\textsf{has compared to the Denominator. The Denominator represents the total amount}[/tex]
[tex]\textsf{of parts that make a fraction equal to 1. If the Numerator is the same as the}[/tex]
[tex]\textsf{Denominator, then the fraction is just 1. If the Numerator is greater than 1, then}[/tex]
[tex]\textsf{this kind of fraction is considered an Improper Fraction, and improper fractions}[/tex]
[tex]\textsf{are fractions that are improper due to the Numerator being greater than the}[/tex]
[tex]\textsf{Denominator, which means these fractions shouldn't be represented as fractions,}[/tex]
[tex]\textsf{but there's nothing wrong with representing it as a fraction.}[/tex]
[tex]\textsf{Since we know what majority of fractions are, we may begin adding these fractions}[/tex]
[tex]\textsf{which are improper.}[/tex]
[tex]\large\underline{\textsf{How are we able to Add Fractions?}}[/tex]
[tex]\textsf{Adding Fractions is simply adding the Numerators together since the Denominator}[/tex]
[tex]\textsf{can't be changed, if so then the equation won't be equal.}[/tex]
[tex]\textsf{*Remember that when adding fractions we must have common denominators.}[/tex]
[tex]\textsf{This means that we should find the LCM (Least Common Multiple) of the}[/tex]
[tex]\textsf{Denominators.}[/tex]
[tex]\underline{\textsf{For our problem;}}[/tex]
[tex]\textsf{Since we already have Common Denominators, we are able to simply add the}[/tex]
[tex]\textsf{Numerators.}[/tex]
[tex]\large\underline{\textsf{Solving;}}[/tex]
[tex]\textsf{Add the Numerators together.}[/tex]
[tex]\tt \frac{\boxed{\tt 23}}{9} + \frac{\boxed{\tt 17}}{9} =\boxed{\tt \frac{40}9}[/tex]
[tex]\tt \frac{40}{9} \ \textsf{can be our final answer. However, since our sum is an Improper Fraction, it's}[/tex]
[tex]\textsf{greater than 1. Since 40 can divide into 9 about 4 times, our whole number will}[/tex]
[tex]\textsf{be 4, and the remainder will be our fraction.}[/tex]
[tex]\underline{\textsf{Explained in numerical;}}[/tex]
[tex]\tt \frac{40}{9} = \frac{9}{9} + \frac{9}{9} + \frac{9}{9} + \frac{9}{9} + \frac{4}{9} = \boxed{\tt 4 \frac{4}{9}}[/tex]
[tex]*\tt \frac{36}{9} = \frac{4}{1}[/tex]
[tex]\textsf{These are called Whole Number Fractions.}[/tex]
[tex]\large\underline{\textsf{Hence;}}[/tex]
[tex]\tt \frac{23}{9} + \frac{17}{9} = \boxed{\tt \frac{40}{9}} \ \sf or \ \boxed{\tt 4 \frac{4}{9}}[/tex]
[tex]\large\underline{\textsf{Learn more about Fractions;}}[/tex]
https://brainly.com/question/26180542
[tex]\textsf{This answer will give you a great review of how to turn word-form problems into}[/tex]
[tex]\textsf{fractions, and how to simpify those fractions.}[/tex]
Find the equation for the circle with center (8,−8) and radius of length 2
Step-by-step explanation:
(x-8)²+(y--8)²=(2)²
x²-16x+64+y²+16y+64=4
x²+y²-16x+16y+124=0
SOMEBODY HELP ME NO LINKS PLEASE
PLEASE HELP ME please
Answer:
C
Step-by-step explanation:
There isnt rly a lot of information from this question but my best guess would be C. It says "1 drop in each eye bid every 10 days", so assuming that 1 drop equals 1 ml and knowing we have to do it in "each eye bid" we could assume 2ml of eye drops would be used every 10 days.
Sorry if im wrong but i hope this helps have a great day and happy holidays (｢•-•)｢
A girl ran to the store at a speed of 6 miles per hour, and then walked back at a speed of 4 miles per hour. If her round trip took 15 minutes, how far away is the store?
Answer:
.6 miles
Step-by-step explanation:
Answer:
0.6 miles
Step-by-step explanation:
6 × t = 4 × (15 - t)
6t = 60 - 4t
6t + 4t = 60 - 4t + 4t
10t = 60
t = 6
6 × [tex]\frac{1}{10}[/tex] = 0.6
Help help help math math help
x = 27
Step-by-step explanation:
The two angles shown are called co-exterior angles and by definition, their sum is equal to 180° so we can write
[tex](3x - 3) + (4x - 6) = 180[/tex]
[tex]\Rightarrow 7x - 9 = 180[/tex]
Simplifying this further, we get
[tex]7x = 189 \Rightarrow x = 27[/tex]
In one week, a farmer sells pumpkins to 60% of his customers.
If 720 customers purchase pumpkins, how many total customers does the farmer have?
Answer:
1,200
Step-by-step explanation
Multiply 720 and 100 = 72,000
Divide by 60 = 1,200
Answer:
The answer is 1,200
Step-by-step explanation:
First Multiply 720 and 100 which = 72,000
Then Divide 72,000 by 60 = 1,200
Pls help as soon as possible thank you
Answer:
The domain corresponds to the values of the x and the range to the values of the y. So:
D: {-3, 0, 3}
R: {-6, 0, 6}
Answer:
[tex]\huge\boxed{A.}[/tex]
Step-by-step explanation:
Domain:
"Set of values on x-axis"
Domain = {-3,0,3}
Range:
"Set of values on y-axis"
Range = {-6,0,6}
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807y = 3 tan(x2 + 5) [using Chain Rule]
Answer:
6x sec2 (x2+5) the number to are in the top of x a c.
Choose the symbol that correctly compares the fractions below.
Answer:
[tex] \frac{2}{5} > \frac{1}{6} [/tex]
Answer: B. >
#CarryOnLearning
Round 48.079 to the nearest tenth.
A:48.08
B:48.8
C:50
D:48.1
Answer:
48.1
Step-by-step explanation:
Seven rounds up.
Hope this helped! :)
GIVING BRAINLEST!
What is the location of this point?
y-axis
x-axis
5
Answer:
0,0
Step-by-step explanation:
because it is in the centre of the graph
3. Solve the formula A = 1/2 (b1+ b2))h for h. Show your work.
[tex]A = \dfrac 12 (b_1 + b_2)h\\\\\implies 2A = (b_1+b_2) h\\\\\implies h =\dfrac{2A}{b_1+b_2}[/tex]
Help Me someone help
Answer:
5:1
Step-by-step explanation:
divide eatch side
Answer:
It's 1:5
Step-by-step explanation:
As an improper fraction simplified
Answer:
82/63
Step-by-step explanation:
The sum can be found using the formula ...
[tex]\dfrac{a}{b}+\dfrac{c}{d} =\dfrac{ad+bc}{bd}[/tex]
For the given fractions, the sum is ...
[tex]\dfrac{6}{7}+\dfrac{4}{9} =\dfrac{6\cdot9+7\cdot4}{7\cdot9}=\dfrac{54+28}{63}=\boxed{\dfrac{82}{63}}[/tex]
_____
Additional comment
When the denominators have no common factor, the least common denominator is their product, as here.
Answer:
For this question, you can make the denominators the same to get the answer.
LCM of 7 and 9 = 63
[tex]\frac{6}{7} + \frac{4}{9} = \frac{54}{63} + \frac{28}{63} \\[/tex]
= [tex]\frac{82}{63}[/tex]
= 1[tex]\frac{19}{63}[/tex]
The formula below represents the standard form of a quadratic equation,
ax2 + b + c = 0
Solve for b.
Answer:
[tex]b=-a^2-c[/tex]
Step-by-step explanation:
The value of the x intercept for the graph of 4x-5y=40 is
Answer: x=10
Step-by-step explanation:To find the x-intercept, you have to set y=0.
4x-5y=40
4x-5(0)=40
4x-0=40
4x=40
Then divide both sides by 4 to get x=10
Hope this helps! :D
Simplify -6
1
4.
8
3
00w
8
1
A
8
00
00 W
3
8
8
Answer:
4th on should be the correct
The area of Asia is approximately 4.46 × 107 square kilometers. Its population is approximately 3.70 × 109 people. What is the approximate population density (people per square kilometer) of Asia? Write your answer in standard form. If necessary, round your answer to the nearest hundredth.
- 120.54 people/km2
- 82.96 people/km2
- 8.30 x 10 (15th power) people/km2
- 8.30 x 10 (1st power) people/km2
Step-by-step explanation:
you have to be careful what you are typing.
the way you wrote the numbers Asia would be a tiny place with very few people.
but I think you meant to say :
area is 4.46 × 10⁷ km²
with 3.70 × 10⁹ people.
people / km² = 3.70/4.46 × 10⁹/10⁷ =
= 0.829596413... × 10² = 82.9596413... =
= 82.96 people/km²
The population density will be equal to 82.96 people/km2. The correct option is B.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the area is 4.46 × 10⁷ km² with 3.70 × 10⁹ people. The population density will be calculated as below:-
Density = people / km² = ( 3.70 × 10⁹ ) / ( 4.46 x 10⁷ )
Density = 0.829596413... × 10² = 82.9596413
Density = 82.96 people/km²
Therefore, the population density will be equal to 82.96 people/km2. The correct option is B.
To know more about an expression follow
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Write a story that could represent this math problem 4 x 10/15 =
Mathew decided to have a picnic with his 4 friends. They were each assigned to bring 10 different foods. The food were to be brought in 15 bags total. How much food are there in each bag in total?
Divide 3/8 divided by 2/3 and express the answer in the simplest terms.
The manager of a store increases the price of a popular product by 9%. Let t be the original price of the product. The new price is t+0.09t. Write an equivalent expression by combining like terms. If the original price was $15.99, estimate the new price by first rounding the original price to the nearest dollar.
Answer:
new equation : 1.09t = new price
Step-by-step explanation:
1.09(15.99) = 17.4291
it's about $17
in the given figure ,o is the centr of the circle, ab is the diameter and do is perpendicular to ab. prove that angle AEC= ANGLE ODA
The given triangles ΔDOA and ΔABC are right triangles that have a
common vertex at point A.
ΔDOA is similar to ΔABC, and ∠AEC is equal to ∠ABC, therefore, ∠AEC = ∠ODAReasons:
The given parameters are;
The diameter of the circle with center O = AB
DO ⊥ AB (DO is perpendicular to AB)
Required:
Prove that ∠AEC = ∠ODA
A two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. AB is the diameter of circle [tex]{}[/tex] 1. Given
2. DO is perpendicular to AB [tex]{}[/tex] 2. Given
3. ∠DOA = 90° [tex]{}[/tex] 3. Definition of DO ⊥ AB
4. ∠BCA = 90° [tex]{}[/tex] 4. Thales theorem
5. ∠BCA ≅ ∠BCA [tex]{}[/tex] 5. Reflexive property
6. ΔDOA ~ ΔABC [tex]{}[/tex] 6. AA similarity postulate
7. ∠ABC ≅ ∠ODA [tex]{}[/tex] 7. CASTC
8. ∠ABC = ∠ODA [tex]{}[/tex] 8. Definition of congruency
9. ∠AEC ≅ ∠ABC [tex]{}[/tex] 9. Angles in the same segment
10. ∠AEC = ∠ABC [tex]{}[/tex] 10. Definition of congruency
11. ∠AEC = ∠ODA [tex]{}[/tex] 11. Transitive property of equality
In statement 6, ΔDOA is similar to ΔABC by Angle-Angle, AA, similarity
postulate, therefore, the three angles of ΔDOA are congruent to the three
angles of ΔABC.
Therefore ∠ABC ≅ ∠ODA by Corresponding Angles of Similar Triangles
are Congruent, CASTC.
Learn more about circle theorem here:
https://brainly.com/question/16879446