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3 years ago

Slope and y intercept y=7/4x-10

Mathematics

2 answers:

Andreas93 [3]3 years ago

7 0

Hi there!

The slope is the number in front of x so it is 7/4 or 1 3/4

The y-intercept is the independent number in the equation, so it is -10

Your friend, ASIAX

ivann1987 [24]3 years ago

5 0

$y=mx+b\\\\m-slope\\b-y-intercept$

$\text{we have}\\\\y=\dfrac{7}{4}x-10\\\\slope=\dfrac{7}{4}\\\\y-intercept=-10$

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Answer:

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B. This is the number of permutaions of 6 from 15:

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Step-by-step explanation:

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3 years ago

Andre has a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Andre hope

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Answer:

C = 25 + 3n

Step-by-step explanation:

Andre has a summer job selling magazine subscriptions.

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n = the number of magazine subscriptions Andre sells this week.

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3 years ago

Find the domain of the function.

timurjin [86]

When taking square roots, you can't take square roots of negative roots of negative numbers. So, what will work for the domain of u(x) is what makes u(x) zero or more. We can make an inequality for that.

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4 years ago

The annual energy consumption of the town where Camilla lives in creases at a rate that is onal at any time to the energy consum

boyakko [2]

Answer:

6.575 trillion BTUs

Step-by-step explanation:

Let represent the annual energy consumption of the town as E

The rate of annual energy consumption * energy consumption at time past

dE/dt * E

dE/dt =K

k = the proportionality constant

c= the integration constant

(dE/dt=) kdt

lnE = kt + c

E(t) = e^kt+c ⇒ e^c e^kt e^c is a constant, and e^c = E₀

E(t) = E₀ e^kt

The initial consumption of energy is E(0)=4.4TBTU

set t = 0 then

4.4 = E₀ e⇒ E₀ (1)

E₀ = 4.4

E (t) = 4.4e^kt

The consumption after 5 years is t = 5, e(5) = 5.5TBTU

so,

E(5) = 5.5 = 4.4e^k(5)

e^5k = 5/4

We now take the log 5kln = ln(5/4)

5k(1) = ln(5/4)

k = 1/5 ln(5/4) = 0.04463

We find the town's annual energy consumption, after 9 years

we set t=9

E(9) = 4.4e^0.04463(9)

= 4.4(1.494301) = 6.5749TBTUs

Therefore the annual energy consumption of the town after 9 years is

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3 years ago

Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smalle

Rus_ich [418]

Answer:

y = negative four-thirds x + StartFraction 31 Over 3 EndFraction

y = 2 x + 7

Step-by-step explanation:

Let x represent the smaller number and y represent the larger number.

Four times a number added to 3 times a larger number is 31.

It is translated as:

4x + 3y = 31

Then, solving for y:

4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3

⇒ y= - 4/3x + 31/3

Correct answer choice for this equation:

y = negative four-thirds x + StartFraction 31 Over 3 EndFraction

Seven subtracted from the larger number is equal to twice the smaller number.

It is translated as:

y-7= 2x

Then, solving for y:

y-7= 2x ⇒ y= 2x+ 7

Correct answer choice for this equation:

y = 2 x + 7

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3 years ago