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3 years ago

Use the graph of the line to answer each question

Mathematics

1 answer:

scoundrel [369]3 years ago

3 0

Hello!

A) y-intercept is 5 x-intercept is 5
B) Slope=1
C) y=mx+b
=1(4)+ 6

Hope this Helps! Have A Wonderful Day! :)

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Y varies directly as x. y=50 when x=5 find y when x=11????

olasank [31]

Step-by-step explanation:

given

y is directly to x

to remove directly we use constant let constant be k

y=k x. (1)

let calculate value of k

as it is given

y=50 when x=5

so put in above equation (1)

50=k(5)

50/5=k

10=k

now let find y when x =11

in above equation put the value of x and k

y=10×11

y= 110

5 0

3 years ago

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visi

olasank [31]

Given :

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.

He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.

To Find :

Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.

Solution :

Let, after x years Abraham visited y countries.

It is mathematically given as :

$10 + 5x=y$

Now, it is given that his goal is minimum of 50 countries.

So,

$10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8$

Therefore, minimum years required to meet his goals are 8.

Hence, this is the required solution.

4 0

3 years ago

Plutonium-240 decays according to the function L where o

PIT_PIT [208]

Answer:

$\boxed{\textbf{1700 yr}}$

Step-by-step explanation:

$-\dfrac{\text{d}L}{\text{d}t} = kL\\\\\dfrac{dL}{L}=-kdt\\\\\ln L = -kt + C\\\text{At t = 0, L = L$_{0}$, so C = $\ln L_{0}$}\\\ln L = -kt + \ln L_{0}\\\ln L_{0} - \ln L = kt\\\\\ln \dfrac{L_{0}}{L} =kt$

Data:

L₀ = 24 g

L = 20 g

k = 0.000 11 yr⁻¹

Calculation:

$\ln \dfrac{24}{20} =0.000 11t\\\\\ln 1.2 = 0.000 11t\\\\0.1823 = 0.000 11t\\\\t = \dfrac{0.1823}{0.000 11} = \textbf{1700 yr}\\\\\text{It will take } \boxed{\textbf{1700 yr}}\text{ for the polonium to decay to 20 g}$

8 0

3 years ago

Resultado de esta cuenta Explicada cuenta completa:<br><br>(6+3)²=

Mumz [18]

81 is the correct answer

hope it helps you have a good day

7 0

3 years ago

How many more monthly payments are made for a 5 year loan than a 2 year loan

Mekhanik [1.2K]

Answer:

36 more loans

Step-by-step explanation:

4 0

3 years ago