7. Work out the gradient of the line y + 7x = 8 Is anyone able to help much appreciated

Mathematics

2 answers:

dedylja [7]3 years ago

6 0

Answer:

$gradient \: = - 7$

Step-by-step explanation:

$y + 7x = 8 \\ y = - 7x + 8$

According to,

$y = mx + c \\$

m = gradient

So,

 $y = - 7x + 8$ 

 $m = - 7$ 

DENIUS [597]3 years ago

3 0

Answer:

-7

Step-by-step explanation:

equation=y+7x=8

y=-7x+8

the gradient is always the x co-efficient

therefore the gradient is -7

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The number of a particular fish in thousands x years after 1972 can be modeled by f(x)=230(0.886)x. Estimate the year when the n

sashaice [31]

Answer:

The year is 1979.

Step-by-step explanation:

Given:

The function relating fish population and number of years since 1972 is:

$f(x)=230(0.886)^x\\Where,\ f(x)\rightarrow \textrm{fish population}\\x\rightarrow \textrm{number of years passed after 1972}$

Now, when the fish population reaches 99 thousand, it means that $f(x)=99$ . Now, plugging in $f(x)=99$ in the above equation and solving for $x$ . This gives,

$99=230(0.886)^x\\\frac{99}{230}=0.886^x\\\\\textrm{Taking natural log on both sides}\\\ln(0.886)^x=\ln(\frac{99}{230})\\\\\textrm{Using log property: }\log a^b=b\log a\\x\ln (0.886)=\ln(0.43)\\x\times (-0.12)=-0.84\\x=\frac{-0.84}{-0.12}=7\ years$