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3 years ago

Help!!! ---- The graph of a function is a line that passes through the points (1,4), (3,8), and (6,y). What is the value of y?

Mathematics

1 answer:

natima [27]3 years ago

5 0

Answer:

y = 14

Step-by-step explanation:

First find the slope of the line. To find the slope of the line, use the slope formula:

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{8-4}{3-1} =\frac{4}{2}=2$

The slope of the line is 2.

Repeat this same process instead with points (1,4) and (6,y). Substitute m = 2.

$2 = \frac{y-4}{6-1} \\\\ 2=\frac{y-4}{5}\\\\ 10=y-4\\\\14b= y$

So y = 14.

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Round your answer to the nearest hundredth.

nika2105 [10]

Answer:

5.52umit

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2 years ago

Jeremy was saving $8 per week.<br>How many weeks would it take him to save $124?

zaharov [31]

set n as the value of weeks jeremey needs to save

so jeremy needs to save 8n = 128

so n = $\frac{128}{8}$ = 16 weeks

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3 years ago

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raina is riding on a bike that is 40 miles long. so far, she has ridden 28 miles of the course. What percentage of yhe course ha

notsponge [240]

Raina has ridden 70% of the course so far.

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3 years ago

Which statement about the functions f(x)=2x+5 and g(x)=6x+15 is true?

Varvara68 [4.7K]

The true statement is g(x) = 3.f(x) ⇒ 1st answer

Step-by-step explanation:

f(x) = 2x + 5
g(x) = 6x + 15

We need to find which statement is true

Let us compare between the x term in the two function and the numerical terms in the two function

∵ The x terms are 2x and 6x

∵ 6x ÷ 2x = 3

∵ The numerical terms are 5 and 15

∵ 15 ÷ 5 = 3

- That means each term of f(x) is multiplied by 3 to give g(x)

∴ g(x) = 3(2x + 5)

∴ g(x) = 3.f(x)

The true statement is g(x) = 3.f(x)

<em>V.I.Notes:</em>

f(3x) means we multiply x only by 3, then g(x) = 6x + 5
f(x + 3) means we add x only by 3, then g(x) = 2(x + 3) + 5, when simplify it g(x) = 2x + 11
f(x) + 3 means we add 3 to (2x + 5), then g(x) = 2x + 8

Learn more:

You can learn more about the functions in brainly.com/question/4326955

#Learnwithbrainly

4 0

3 years ago

The number of fish in a lake decreases by x% each year.

Temka [501]

The number of fish decreases by x% each year. x% can also be written as 0.01x.

If the total number of fish in a lake is A, after one year the number of fish will be:

$A_{1}=A(1-0.01x)$

After two years the number of fish will be:

$A_{2}=A(1-0.01x)^{2}$

So, the general formula for the number of fish after n years can be written as:

$A_{n}=A(1-0.01x)^{n}$

It is given that after 8 years, the number of fish is reduced to half. So we can write:

$0.5A=A(1-0.01x)^{8} \\ \\ 
0.5=(1-0.01x)^{8} \\ \\ 
0.917=1-0.01x \\ \\ 
0.01x=0.083 \\ \\ 
x=8.3$

This means the value of x is 8.3%. So, the number of fish in a lake decreases by 8.3% each year

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3 years ago

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