Without any more information, the first term can be any number.
Let a be the first term in the geometric progression, and let r be the common ratio between consecutive terms. Then
a + ar + ar ² + ar ³ + ar ⁴ + ar ⁵ = 9 (a + ar + ar ²)
ar ³ + ar ⁴ + ar ⁵ = 8 (a + ar + ar ²)
r ³ + r ⁴ + r ⁵ = 8 (1 + r + r ²)
r ³ (1 + r + r ²) = 8 (1 + r + r ²)
r ³ = 8
r = 2
Now with this ratio, the sum of the first six terms is
a (1 + r + r ² + r ³ + r ⁴ + r ⁵) = a (1 - r ⁶)/(1 - r) = 63a
while the sum of the first three terms is
a (1 + r + r ²) = a (1 - r ³)/(1 - r) = 7a
and of course 63a = 9 • 7a, and this is true for any a.
Find the slope of the line that passes through
points (7,-5) and (-1,-3).
a.) 4.
b.) 1/4
c.) -4
d.) -1/4
plz help! will give brainliest!!!
Answer:
C
Step-by-step explanation:
I took a guess
Given the function h(t)=2f^2+9 evaluate h(5)
Answer:
Concept: Evaluating Functions
h(5) is equivalently h(t)Hence 2(5)^2+9So the answer is 59Answer:
h(5)=59
Step-by-step explanation:
The function h(t) should be h(t)=2t²+9 NOT 2f²+9
With that said,h(5)=2(5²)+9
h(5)=50+9=59
you have 10 eggs you crack 2 cook 2 and eat 2 how many eggs do you have left?
Answer:
Wouldn't it be 8?
Step-by-step explanation:
You crack 2 eggs and cook them, then eat them. If we cracked 2 eggs, cooked 2 different eggs, and ate 2 different eggs, that doesn't make sense.
Answer:
8
Step-by-step explanation: you can crack, cook, and eat with 1 egg
so if you cracked 2 cooked 2 and ate 2, it means that you only used 2
PLEASE HELP problem is in the picture, algebra 2 will mark BRAINLIEST
Answer:
a) x^(2) + 2x + 1
b) x^(2) + 1
c) 16
d) 1
Step-by-step explanation:
f(x) = x^(2)
g(x) = x + 1
a)
f(g(x))
input g(x) into f(x)
f(x+1) = (x+1)^(2)
= x^(2) + 2x + 1
b)
g(f(x))
input f(x) into g(x)
g(x^(2))
x^(2) + 1
c)
f(g(3))
Use the equation found in part a, substitute in 3 for x
(3)^(2) + 2(3) + 1
= 9 + 6 + 1
= 16
d)
Use the equation found in part a, substitute in 0 for x
(0)^(2) + 2(0) + 1
= 0 + 0 + 1
= 1
The set of integers from -3 to 3
Answer:
-3, -2, -1, 0, 1, 2, 3
Step-by-step explanation:
I am pretty sure you are trying to ask this but don't mind if it's not. If it's not just ignore it.
-3 is the smallest, so you go see the integers above it that are equal or less than 3.
Integers are numbers that can be negative or positive, but cannot be a decimal, square root, X and more.
So then the answer should be
-3, -2, -1, 0, 1, 2, 3
what is the slope on
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
The slope is the rise over run or the change in y over the change in x. In this case, the y decreases by 3 while the x increases by 1. Since one value increases while the other decreases the slope must be negative. So if we put the 3 over 1 and make it negative the answer is -3/1, which simplifies to -3.
Help!! Im stuck on this!
(2x + 3) + (3x + 5)
(8x^2 - 3x +3) + (2x^2 -4x +6)
3 * (2x - 6)
2x * (5x + 11)
*****
(2x + 8) - (4y + 1)
-5x * (3x^2 - 2x - 1)
What do we need to watch for in problems like this?
Answer:
when doing questions like these you need to do pemdas and do it in order
Step-by-step explanation:
p- parenthesis
e- exponents
m- multipication
d- division
a- adding
s- subtracting
What is the value of g(f(x))
Answer:
3x^2+24
Step-by-step explanation:
i got it right on plato
Derek unpacked 126 kilograms of grapefruits and lemons. The grapefruits came in 10-kilogram bags and the lemons came in 8-kilogram bags. In all, Derek unpacked 13 bags of fruit. How many bags of grapefruits and bags of lemons did he unpack?
Answer:
11 bags of grapefruits; 2 bags of lemons
Step-by-step explanation:
Create a system of equations.
Let x be the number of grapefruit bags. Let y be the number of lemon bags.
x + y = 13
10x + 8y = 126
Rearrange the first equation to solve for x:
x = 13 - y
Substitute x in for x in the second equation:
10(13 - y) + 8y = 126
130 - 10y + 8y = 126
-2y = -4
y = 2
Plug y back into the first equation to solve for x.
x = 13 - 2
x = 11
The graph below shows the relationship between the number of dollars a worker earns and the number of hours worked.
Which statement best describes the rate of change for this situation?
A. The worker earns $40 per hour.
B. The worker earns $8 per hour.
C. The worker earns $10 per hour.
D. The worker earns $320 per hour.
Option B - The worker earns $8 per hour is the correct alternative.
We have a graph that shows the relationship between the number of dollars a worker earns and the number of hours worked.
We have to select the statement which best describes the rate of change for this situation.
How do you calculate the Slope of Line ?The slope of a line can be calculated using -
[tex]$m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
According to the question, we have two coordinate points marked on the graph -
P(20, 60)
Q(40, 320)
Using the formula to calculate the slope of a line, we get -
[tex]$m = \frac{320-160 }{40 -20 }[/tex]
m = 8
We know that the slope of the line represents the rate of change of y with respect to x. Therefore, the worker earns $8 per hour.
Hence, Option B is correct.
To solve more questions on Rate of change, visit the link below-
https://brainly.com/question/13057847
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PLEASE I NEED HELP I NEED THIS TO GET MY GRADE UP HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Second one
Step-by-step explanation:
Because if we divide third and forth column can both divided by 5. When x is is increased by one the y increases by 5
Answer:
Second chart
Step-by-step explanation:
What is the quotient of 28 divided by 7 increased by 4
Answer:
8 beacaus the seven increased from 4
The quotient after increased by 4 is 8.
To calculate the quotient of 28 divided by 7, we perform the division and get:
28 ÷ 7
= 28/7
= (7 x 4)/ 7
= 4
Next, we are asked to increase this quotient by 4. Adding 4 to the quotient:
= 4 + 4
= 8.
Therefore, the quotient after increased by 4 is 8.
Learn more about Division here:
https://brainly.com/question/2273245
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what digit is in hundreds place 25437
Answer:
4
Step-by-step explanation:
25,437 --> twenty-five thousand, four hundred and thirty seven
Please hurry I need this fast
Answer:
Fourth choice (9,-2)
Step-by-step explanation:
Fourth choice (9,-2)
A bedroom measures 13.62 feet long and 11.5 feet wide. What is the most accurate measure of the area of the bedroom, in square feet?
Answer:
156.63 ft squared
Step-by-step explanation:
The bedroom is a rectangle.
Area of a rectangle- A=length times width
multiply the two numbers and you will get 156.63.
Be sure to add the units (feet).
The sum of two numbers is 21. One of the numbers squared plus 1 is equal to the other number. Given that both numbers are positive, what are the two numbers?
Answer:
4 and 17
Step-by-step explanation:
4 because 4^2 is 16 + 1 = 17 and the other # is 17 because 21-4 is 17
URGENT 25 POINTS MATH EQUATION PLEASE NO POINT STEAL!
Answer:
it is diff because o the parentheses
Step-by-step explanation:
g(x)=3x-5 find g(-2)
Answer:
g(2) = -11
Step-by-step explanation:
So, g(-2), basically meaning that x = -2.
Since we know that, we need to plug -2 into all of the x's.
g(2) = 3(-2) - 5
g(2) = -6 - 5
g(2) = -11
The required value of g(2) would be -11.
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The function is given in the question following as:
g(x) = 3x-5
We have to determine the value of g(2) to the given function.
As per the given question, we have
⇒ g(x) = 3x-5
So, g(-2), this meaning that x = -2.
Now, substitute the value of x = -2 in the given function,
⇒ g(2) = 3(-2) - 5
⇒ g(2) = -6 - 5
Apply the addition operation, and we get
⇒ g(2) = -11
Therefore, the required value of g(2) would be -11.
Learn more about the functions here:
brainly.com/question/12431044
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Solve for y.
4y2 +9y=-2
Maria earns $2,000 a month, plus 3% commission on everything she sells. 2
Her sales totaled x dollars this month. Which amount represents the
amount of money Maria earns this month?
Answer:
2,000 + 0.03x
Step-by-step explanation:
Which of the following statements are not proportional?
5/4 = 10/8
7/5 = 35/25
2/3 = 12/18
4/6 = 9/12
Answer:
4/6 = 9/12 is not proportional
Step-by-step explanation:
Does the graph represent a function?
Yes or No
Answer:
Yes, the graph is a function because the lines do not overlap one another (vertical line test)
- I hope this helps have a great night
What’s the answer??? Look at the picture for the question
Answer:
Step-by-step explanation:
35
I WILL GIVE BRAINLIST!!
Showthat (2x+i)(2x−i) = 4x2 +1
(2x + I) (2x-I) = 4x^2 + 1
Using the complex arithmetic rule:
(A + bi)(a-bi) = a^2 + b^2
A would be the 2x and b would be the i
So you would have:
(2x)^2 + (i)^2
(2x)^2 = 2x times 2x = 4x^2
i ^2 = 1
Final answer is 4x^2 + 1
Pleeeeeease help, I’m just trying to pass the class lol
Answer:
the answer is B
Step-by-step explanation:
Answer is B
What is the volume of the rectangular prism?
8 is what percent of 24?
What is 63% of 130?
36 is 15% of what number?
A farmer decides to sell 32 pounds of his small 96 pound potato crop. What percent of the crop did he sell?
A university has 480 female students. This represents 64% of the student body. How many students are enrolled in the university?
Answer:
1, 33.3
2, 81.9
3, 240
4, the farmer sold 33.3 of his crops
5, 750 students are enrolled.
Answer:
1. 8 is 33.3333333% of 24. 2. 63% of 130 is 81.9. 3. 36 is 15% of 240. 4. 30.72% of crops. 5. 750 students
Step-by-step explanation:
Hope this helped you!! Give brainliest.
my question is down there
Answer:
are 10 hours
Step-by-step explanation:
The reason its 10 hours is because on the lower right of the document it says 10.
What is the area of this kite?
L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVwNHJBVjU5YmlNNWhaTGZXMmhRVnNJTVJTSWFCSUVGQW5aQTBLVEhDWjEzdGxuY2xyRF9zcHhmVGxqV0ZBbl9IZXl3dlBvcW5SM01XZlFVVnNhNldHUjBmNzVmQS5jZV9xLXlWdzVyXzFWQ1pB?w=400&h=400
a
29 square meters
b
49 square meters
c
39 square meters
d
19 square meters
Answer:
39 square meters.
Step-by-step explanation:
9 times 3 is 27. You have two triangles with length and width of 9 and 3 so you multiply it and get 27. You also have two smaller triangles of 3 and 4 and if you combine them it is really just a square. It is 3 times 4 which is 12. Now, the answer is 12 + 27 and you get 39 square meters. Hope it helps. Brainliest would be cool