Answers
Answer:
1) f(x) = 500·(1.1)ˣ
2) f(x) = 500·(0.9)ˣ
Step-by-step explanation:
1) The given values in the table are;
x; 0, 1, 2, 3
f(x); 500, 550, 605, 665.5
By observation, we have that each two subsequent term of f(x) have a common ratio, given as follows;
550/500 = 11/10 = 1.1 = 605/550 = 665.5/605
From which we have;
The values of f(x) are in a geometric progression
The nth of a geometric progression = a·rⁿ
The common ratio, r = 1.1
The first term, a = 500
The number of terms, n = x
Therefore, xth term, f(x) = a×(r)ˣ
Substituting the values gives;
The equation for the data shown in the table is f(x) = 500·(1.1)ˣ
2) The given table of values is presented as follows;
x; 0, 1, 2, 3
f(x); 500, 450, 405, 364.5
The common ratio, f(xₙ)/f(xₙ₋₁) = 450/500 = 9/10 = 0.9 = 405/450 = 364.5/405
The terms of f(x) are in a geometric progression
The first term. a = 500
The common ratio, r = 9/10 = 0.9
The nth term of a geometric progression, G.P. = a·rⁿ
By plugging in the values of 'a', 'r', and 'n', the value of the xth term, f(x), therefore;
The equation for the data shown in the table is f(x) = 500·(0.9)ˣ.
Related Questions
. Which of the following is equal to
3
?
)
6 −
3 )
6 ×
3
)
6
3
)(
6
)
Answers
Answer:
(6-3)=3..............................
Please help I’ll give brainliest
Answers
Answer:
- a + 18bStep-by-step explanation:
2(a + 6b) - 3(a - 2b)
= 2a + 12b - 3a + 6b
= 2a - 3a + 12b + 6b
= - a + 18b (Ans)
Answer:
-a + 18b
Step-by-step explanation:
2(a + 6b) - 3(a - 2b)
Distribute the 2
2a + 12b - 3(a - 2b)
Distribute the 3
2a + 12b - 3a + 6b
Combine like terms
-a + 18b
Findfind the value of each variable used in the figures if your answer is an integer express it in simples radical form
Answers
Answer:
c=2
Step-by-step explanation:
the sides of a 30-60-90 right triangle are in the ratio 1:[tex]\sqrt{3}[/tex]:2
xy to the power of -4
show as positive exponent
explain
Answers
Answer:
[tex]\frac{1}{(xy)^4}[/tex]
Step-by-step explanation:
*Question interpreted as "Write [tex](xy)^{-4}[/tex] with a positive exponent."
Recall the following exponent property:
[tex]a^{-b}=\frac{1}{a^b}[/tex]
Therefore, we have [tex](xy)^{-4}\implies \boxed{\frac{1}{(xy)^4}}[/tex]
please help!!! i’ll give brainliest.
no links
do not comment random things
i need asap!!
ill give as many points as i can
Answers
Answer:
a,d,e
Step-by-step explanation:
75+a1 = 180
so a1=105
a1=x-15
105=x-15
x=120
then using rules of parallel lines with commone intersecting line gives the others.
what is the vaule (x + y)(x + y)
Answers
Answer:
x^2+2xy+y^2
Step-by-step explanation:
(x + y)(x + y)
FOIL
first x*x = x^2
Outer x*y = xy
inner: y*x = xy
last y*y = y^2
add together
x^2+xy+xy+y^2
Combine like terms
x^2+2xy+y^2
Answer:
[tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]
Step-by-step explanation:
(x + y)(x + y)
= (x + y)(x + y)
=(x)(x) + (x)(y) + (y)(x) + (y)(y)
= [tex]x^{2}[/tex] + xy + xy + [tex]y^{2}[/tex]
= [tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]
Hope this helps, please mark brainliest. :)
Maria has made $28 selling bracelets at a craft fair. She spends $52 on supplies to make the bracelets. She sells each bracelet for $3. Which inequality can Maria use to find how many more bracelets she needs to sell to make more money than she spent on supplies. A. 3x + 52 < 28 B. 28x +3 >52 C. 3x + 28 < 52 D. 3x +28 > 52
Answers
Answer: D. 3x +28 > 52
Step-by-step explanation:
Based on the information given, the inequality that Maria can use to find how many more bracelets she needs to sell to make more money than she spent on supplies will be calculated thus:
With the question above, the total sales must be greater than the amount spent on supplies. Let the number of bracelets that needs to be sold be represented by x.
Therefore, (3 × x) + 28 > 52
= 3x + 28 > 52.
We can calculate further
3x > 52 - 28
3x > 24
x > 24/3
x > 8
Therefore, 9 or more bracelets needs to be sold since x is greater than 8.
Therefore, the correct option is D 3x +28 > 52
Answer:
D. 3x + 28 > 52
Step-by-step explanation:
The sum of three numbers is 86. The third number is 4 times the first. The first number is 10 more than the second. What are the numbers?
Answers
Answer:
The first number is 16
The second number is 6
The third number is 64
Step-by-step explanation:
The information from the word problem are;
The count of the numbers in the sum = 3 numbers
The value of the sum of the three numbers = 86
The value of the third number = 4 × The value of the first number
The value of the first number = 10 + The value of the second
Let 'x' represent the first number, let 'y' represent the second number and let 'z' represent the third number, we have;
x + y + z = 86...(1)
z = 4 × x...(2)
x = y + 10...(3)
From equation (3), we get;
x = y + 10
∴ y = x - 10...(4)
Substituting the value of z from equation (2) and the value of y from equation (4) in equation (1) gives;
x + y + z = 86
z = 4 × x = 4·x
y = x - 10
∴ x + y + z = x + (x - 10) + 4·x = 86
x + (x - 10) + 4·x = x + x - 10 + 4·x = 6·x - 10 = 86
6·x = 86 + 10 = 96
∴ x = 96/6 = 16
x = 16
From equation (2), we get;
z = 4 × x
∴ z = 4 × 16 = 64
z = 64
From equation (4), we get
y = x - 10
∴ y = 16 - 10 = 6
y = 6
Therefore; x = 16, y = 6, and z = 64
The numbers are 16, 6, and 64
Help plz this is really hard for me
Answers
Answer:
Improper fraction: 13/10
Mixed number: 1 3/10
Decimal: 1.3
Step-by-step explanation:
Find common denominator: which is 30
Make each denominator equal 30, affecting the whole fraction:
6•2/15•2 + 3•3/10•3 + 3•6/5•6 =
12/30 + 9/30 + 18/30 = 39/30
Simplify: 39/30, divide both by 3: 13/10
And there is our answer!
Hope this helps, good luck! :D
Answer:
39/30
Step-by-step explanation:
Which is the graph of y – 3 =-2/3 (x + 6)?
Answers
Answer:
see graph below
Need help with this
Answers
6/h −1= −3 again.......
Answers
6/h = -2
6=-2h
h= -3
Answer:
ℎ = −3
Step-by-step explanation:
6
ℎ
−
1
=
−
3
\frac{6}{h}-1=-3
h6−1=−3
6
ℎ
+
ℎ
(
−
1
)
ℎ
=
−
3
\frac{6}{h}+\frac{h\left(-1\right)}{h}=-3
h6+hh(−1)=−3
2
Combine fractions with common denominator
6
ℎ
+
ℎ
(
−
1
)
ℎ
=
−
3
\frac{6}{h}+\frac{h\left(-1\right)}{h}=-3
h6+hh(−1)=−3
6
+
ℎ
(
−
1
)
ℎ
=
−
3
\frac{6+h\left(-1\right)}{h}=-3
h6+h(−1)=−3
3
Re-order terms so constants are on the left
6
+
ℎ
(
−
1
)
ℎ
=
−
3
\frac{6+h\left(-1\right)}{h}=-3
h6+h(−1)=−3
6
−
ℎ
ℎ
=
−3
verify that :- 2/7 x (-3/5 +4/10)=2/7x-3/5 +2/7 x 4/10
please help me fast please
Answers
Answer:
hope it helps you............
Answer:
-2/35.....................
It takes you 45 minutes to wash a car
alone. Your friend can wash a car in 30
minutes. How long will it take you and
your friend to wash a car together? You
can use the work principle to find out!
Answers
Answer:
37.5 minutes
Step-by-step explanation:
45+30=75
=75 =37.5
2
This might help you!!!!
So someone else had gave the correct answer, but I thought it wasn’t clear enough so I hope this helps.
Step-by-step explanation:
45 + 30 = 75.
But 75 cannot be a total of minutes... so therefore we divide 75 by 2
75 ÷ 2 = 37. 5
So it will take you and your friend a total of 37. 5 minutes to wash a car together.
Hope this helped
write 17.275102 correct to 3 decimal places
Answers
Step-by-step explanation:
17.275 3 decimal plalcesl
please please someone help!! im confused on the parentheses part. i will give brainliest and 20 points
Answers
Answer:(first term)
a=27(4th term)
T4= a x r^3 = 64
substituting a as 27 in T4
27 x r^3 = 64
r^3 = 64/27
r=4/3
so; a=27, r=4/3
using the general formula of geometric progression,
a x r^n-1
substitute:.
27 x 4/3^n-1
= 27(4/3)^n-1
Answer: (C) HOPE THIS HELPS!
6. Is this a relation? Is this a function? Why or why not?
Answers
Answer:
the given relation is function because all elements of domain is mapped with the elements of range
Can someone help me with this.
:)
Answers
25+h²=100
h²=75
h=sqrt(75)
Use a calculator to approximate the height
And I think it is irrational because square roots are not exact rational numbers
Please help me
Which has a larger area , a 4:3 aspect ratio 32 inch Tv or a 16:9 aspect ratio 32 inch Tv? Find the side lengths of each of the TV’s and the area of each Tv to compare. Explain Your reasoning and show all mathematical calculations.
Answers
Step-by-step explanation:
please see my work as attached
For the following system, use the second equation to make a substitution for x in the first equation.
3x + 2y = 7
x - y + 3 = 0
What is the resulting equation?
Answers
Step-by-step explanation:
x value is 0.2
y value is 3.2
Nicole is looking at a map of her neighborhood she notices the mall is 30 miles south of your house and that the grocery stores 40 miles east of her house how far apart are the mall and the grocery store?
Answers
Answer:
Distance of grocery stores from mailbox = 50 miles
Step-by-step explanation:
Given:
Distance of grocery stores = 40 miles east
Distance of mailbox = 30 miles south
Find:
Distance of grocery stores from mailbox
Computation:
Hypotenuse² = Perpendicular² + Base²
Distance of grocery stores from mailbox = √30² + 40²
Distance of grocery stores from mailbox = √900 + 1600
Distance of grocery stores from mailbox = √2500
Distance of grocery stores from mailbox = 50 miles
How many mLs are in 1300mG
Answers
Answer:
1.3 mL
Step-by-step explanation:
1 mg = 0.001 mL
1300 mg * 0.001 mL/mg = 1.3 mL
1 mg = 0.001000 ml 1 ml = 1,000 mg so 1.3 is the correct answer How many Milliliters in 1300 Milligram?
The answer is 1.300000
Please fill the blanks
Answers
Answer:
First box
8pi-(7pi/4)= pi/4
Second Box:
Tan 7pi/4= 0.09625006863
Step-by-step explanation:
PLEASE HELP!!!
a. segment AB congruent
segment CD
b. segment AB congruent d. segment BC
c. segment AD congruent segment BC
d. segment AC congruent segment BD
Answers
Answer:
A. Segment AB congruent segment CD
C. Segment AD congruent segment BC
Step-by-step explanation:
These are both true because a characteristic of a rhombus is that all four sides are congruent. Therefore we must prove that AB is congruent to CD and AD is congruent to BC.
If f(x) = x2 and g(x) = x + 1, what is (fºg)(2)?
1.
5
2.
7
3.
9
4.
12
Answers
Answer:
f(x)=x² , g(x)= x+1. f(g(2))?
g(2)
2+1=3
g(2)=3
f(3)
3²=9
f(3)=9
the answer is 9
Answer:
9
Step-by-step explanation:
To find (f ￮ g)(2) , evaluate g(2) then substitute the value obtained into f(x)
g(2) = 2 + 1 = 3 , then
f(3) = 3² = 9
Write the equations of two lines passing through (4,8)
Answers
Answer:
Two lines that pass through the point (4, 8) are y = 3·x - 4 and y = -5·x + 28
Step-by-step explanation:
The equation of two lines that passes through the point (4, 8) are found using the general form of a straight line equation, y = m·x + c, where;
m = The slope of the line
c = The y-intercept
Therefore, two distinct line pass through a given point if they have a different slope, m, and a different y-intercept, c, as follows;
Fot the given point, the x-value = 4, and the y-value = 8, we get;
8 = m₁·4 + c₁...Line 1 and
8 = m₂·4 + c₂...Line 2
m₁ ≠ m₂
If we set m₁ = 3, for line 1, we get;
8 = 3 × 4 + c₁ = 8 = 12 + c₁
∴ c₁ = 8 - 12 = -4
c₁ = -4
The equation for Line 1 for all x and y-values, where, m₁ = 3, c₁ = -4, becomes;
y = 3·x - 4
The equation for Line 2 where m₂ = -5 for example, we have;
8 = -5 × 4 + c₂
∴ c₂ = 8 + 5 × 4 = 28
c₂ = 28
The general form for the equation for Line 2 becomes;
y = -5·x + 28
Therefore;
The equation of the two formed lines that pass through the point (4, 8) are;
y = 3·x - 4 and y = -5·x + 28
Is anyone free to help me? It's a picture .
Answers
Answer:
1. 8 units downwards and 2 units left
2.7 units right and 4 units upwards
3. 5 units right and 4 units downwards
Step-by-step explanation:
That how it goes
helppppppppppppppppp
Answers
Answer:
Click the third one.
Answer:
3rd one
Step-by-step explanation:
Mark me brainliest pls
Hope this helps!
Helpppp with this math
Answers
9514 1404 393
Answer:
x = 8 1/3
Step-by-step explanation:
Put the known values into the equation and solve for x.
f(x) = 3x -1
24 = 3x -1 . . . . . use 24 for f(x)
25 = 3x . . . . . . . add 1 to both sides
25/3 = x . . . . . . divide both sides by 3
The input is x = 8 1/3.
1. The length of the container is 16.3 m , breadth 8 m and height 6. 2 m. Calculate the volume of this container.
2. Damarie and Breanna share a reward of $117 at a ratio 1:8. What was Breanna's share?
3. A circle has a circumference of 44 cm, given that π 22/7, calculate the its diameter. *
Answers
Answer:
1)
[tex]808.48 \: cubic \: meter[/tex]
2)
[tex]104 \: shiling[/tex]
3)
[tex]14cm[/tex]
Step-by-step explanation:
Length = 16.3m
breadth = 8m
height = 6.2m
volume= Lbh
=(16.3×8×6.2)m
= 808.48 cubic meter