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Sindrei [870]
3 years ago
11

State the gradient and the y-axis intercept of y=3x+7

Mathematics
2 answers:
Damm [24]3 years ago
8 0
3

The 3 is the gradient in front of the x



Mark brainliest please
evablogger [386]3 years ago
3 0

Step-by-step explanation:

the slope (or gradient) of a line is the factor of x.

in our case here : 3

it is expressed as ratio y/x and represents the amount of units y changes (and via the sign in what direction), when x changes a certain amount of units (again, via the sign in what direction). like when going from a point 1 to a point 2.

so, here we have 3 = 3/1, and that means, when x changes by 1 unit to the right (positive), y changes 3 units up (positive).

the y-axis intercept is simply the point, where x = 0. clearly, any point with the x coordinate being unequal to 0 cannot be on the y axis.

so, here

y = 3×0 + 7 = 7

=>

the y-axis intercept point is (0, 7).

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Step-by-step explanation:

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Is -9.1234567 rational
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The short answer: yes.

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Read 2 more answers
A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the
serious [3.7K]

Answer:

The equation is A=6000e^{-0.23t}  at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation A=A_0e^{rt}. We can find the rate at which it decays by using t=3 hours and A=3000. This means A_0=6000 in this context.

A=A_0e^{rt}\\3000=6000e^{r(3)}

0.5=e^{(24.5)r}

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r

We know lne=1 so we were able to cancel it out and divide both sides by 3.

We solve with a calculator \frac{ln0.5}{3} =r\\-0.23=r

We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.

The equation is A=6000e^{-0.23t}


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3 years ago
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quester [9]

Answer:

well the answer is 0.185

Step-by-step explanation:

5 0
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