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3 years ago

Please help me figure out the answer to this I'm a bit confused

Mathematics

2 answers:

scZoUnD [109]3 years ago

8 0

Answer:

y= 1/2x + 1

Step-by-step explanation:

Refer to y=mx+b, m=slope and b= y-intercept

First, you find the slope: you can find the slope by finding the rise over run between two points. Rise= 1, Run=2. The slope is rise/run (rise over run), so the slope would be 1/2 (one half).

Next, find the y-intercept. It is where the line touches the y-axis. Here, it would be 1.

Finally, put these in y=mx+b form:

y=(slope)x+(y-intercept) ---> y= 1/2x + 1

I tried my best to explain everything, I hope you found this helpful!

Bogdan [553]3 years ago

3 0

The answer is. y = 1/2x + 1

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the runner's time to complete the marathon is 45 minutes. The time to complete the last marathon was 49.5 minutes. What is the p

Lana71 [14]

Answer:

9.09%

Step-by-step explanation:

To find percent decrease you have to use this equation:

$Percent Decrease = \frac{Initial -New}{Initial} x 100$

Initial = 49.5

New = 45

Plug in and solve:

$PD = \frac{49.5-45}{49.5} x 100\\\\PD = \frac{4.5}{49.5} x 100 \\\\PD = 0.0909 x 100\\\\PD = 9.09$

The percent decrease is 9.09%

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3 years ago

Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms

Hunter-Best [27]

Answer:

a) 10th term is 0.051

b) The sum of first 18 terms of given sequence is 51.48

Step-by-step explanation:

We are given the sequence 26, 13, 6.5, ..... we need to find

a) 10th term

b) Sum of first 18 terms

Before solving we need to determine if the sequence is arithmetic or geometric

The sequence is arithmetic if common difference d is same.

The sequence is geometric if common ratio r is same.

Finding common difference d: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5

As common ratio is same so, the sequence is geometric.

a) Finding common difference: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

a) 10th term

The formula to find 10th term is: $a_n=a_1r^{n-1}$

We have a₁=26 and r = 0.5 n=10

$a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051$

So, 10th term is 0.051

b) Sum of first 18 terms

The formula to find sum of geometric series is: $S_n=\frac{a(1-r^n)}{1-r}$

where a= 1st term, r = common ratio and n= number of terms

In the given sequence we have

a=26, r=0.5 and n=18

Finding sum of first 18 terms

$S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48$

So, sum of first 18 terms of given sequence is 51.48

6 0

3 years ago

(3.03 MC)

liberstina [14]

Answer:

Step-by-step explanation:

the following equation to show the height of the plant f(n), in cm, after n days:

f(n) = 8(1.05)^n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.26 cm. What is a reasonable domain to l

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3 years ago

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Use substitution to solve the system. -5x + 3y = 19 x = 3y - 11

telo118 [61]

Answer:

x = -2

y = 3

Step-by-step explanation:

-5x + 3y = 19

x = 3y - 11

-5x + 3y = 19

-5(3y - 11) + 3y = 19

-15y + 55 + 3y = 19

-15y + 3y + 55 = 19

-12y + 55 = 19

-12y = 19 - 55

-12y = -36

y = -36/-12

y = 3

x = 3y - 11

x = 3(3) - 11

x = 9 - 11

x = -2

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3 years ago

Female giraffes reach a height of 4.3 meters, and males reach a height of 5.5 meters. Kendra created a bar diagram and wrote an

RoseWind [281]

Answer:

The purpose of the the bar diagram is to show the difference between the heights of female and male giraffes, in other words, the bar diagram needs to be able to show how much one value is more or less than the other value.

The height of the males can reach 5.5 meters, and the females' height will only reach 4.3 meters, therefore, we can see that the height of the males are larger than the height of the females, so the equation to find the difference in the heights should be: 5.5 - d = 4.3 (or any other way around).

From that, we know that the height of the males is d meters more than the height of females or the height of the females is d meters less than the height of the males.

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3 years ago

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