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Sergio [31]
3 years ago
15

Please help me ASAP please please thank you so much

Mathematics
1 answer:
pickupchik [31]3 years ago
3 0

Answer: a

Step-by-step explanation:

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The graph shows the number of new houses built from 1970 to 2000. The mayor used the graph to claim the number built increased a
Pachacha [2.7K]

Answer:

D.

Step-by-step explanation:

The x-axis of the graph isn't constant with the years. It cannot be consistent if the first twenty years are scaled together and the last 10 are put in increments of 2 years.

4 0
3 years ago
What is the sum of the infinite geometric series 1 - 1/2 + 1/4 - 1/8 + 1/16​
mina [271]

Answer: The answer is 11/16

Step-by-step explanation:

PEMDAS theres only addition and subtraction so we figure out this equation left to right.

1-1/2=1/2

1/2+1/4=3/4

3/4-1/8=5/8

5/8+1/16=11/16

6 0
3 years ago
Given the function () = $
elena-s [515]

The inverse of the function f(x) = 1/3x^2 - 3x + 5 is  f-1(x) = 9/2 + √[3(x + 7/4)], the sum of the arithmetic series is 1078 and the common ratio of the sequence is 2

<h3>The inverse of the function?</h3>

The function is given as:

f(x) = 1/3x^2 - 3x + 5

Next, we rewrite the function as in vertex form

Using a graphing calculator, the vertex form of the function f(x) = 1/3x^2 - 3x + 5 is

f(x) = 1/3(x - 9/2)^2 - 7/4

Express f(x) as y

y = 1/3(x - 9/2)^2 - 7/4


Swap x and y

x = 1/3(y - 9/2)^2 - 7/4

Add 7/4 to both sides

1/3(y - 9/2)^2 = x + 7/4

Multiply through  by 3

(y - 9/2)^2 = 3(x + 7/4)

Take the square root of both sides

y - 9/2 = √[3(x + 7/4)]

Add 9/2 to both sides

y = 9/2 + √[3(x + 7/4)]

Rewrite as an inverse function

f-1(x) = 9/2 + √[3(x + 7/4)]

<h3>Sum of arithmetic series</h3>

Here, we have:

5 + 18 + 31 + 44 + ... 161

Calculate the number of terms using:

L = a + (n -1)d

So, we have:

161 = 5 + (n - 1) * 13

This gives

(n - 1) * 13 = 156

Divide by 13

n - 1 = 12

Add 1

n = 13

The sum is then calculated as:

Sn = n/2 * [a + L]

This gives

Sn =13/2 * (5 + 161)

Evaluate

Sn = 1078

Hence, the sum of the arithmetic series is 1078

<h3>The common ratio of the sequence</h3>

Here, we have:

T11  = 32 * T6

The nth term of a geometric sequence is

Tn = ar^(n-1)

This gives

ar^10 = 32 * ar^5

Divide by ar^5

r^5 = 32

Take the fifth root

r = 2

Hence, the common ratio of the sequence is 2


Read more about sequence at:

brainly.com/question/7882626

#SPJ1

6 0
1 year ago
What is the distance bewteen -7 and 41
Gala2k [10]
To find distance, subtract the largest number from smaller

41 - (-7)

41 + 7 = 48

the distance is 48

hope this helps
3 0
3 years ago
PHOTO HERE^<br> help????????
Dmitrij [34]
Please put a thanks so i know your question was answered. It helps since im new here and really boosts my morale :D

if x =4 and y =-3

F = \frac{ x^{2}-4y }{2}  =  \frac{ (4)^{2}-4(-3) }{2}  =  \frac{ 16+12 }{2}  = 14


3 0
3 years ago
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