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Makovka662 [10]
3 years ago
9

 what would be the equation of a line that passes through (3,-4) with slope 2/3

Mathematics
1 answer:
Len [333]3 years ago
7 0

Answer:

y = 2/3x - 6

Step-by-step explanation:

Use the slope intercept equation, y = mx + b

Plug in the slope and given point, then solve for b

y = mx + b

-4 = 2/3(3) + b

-4 = 2 + b

-6 = b

Plug in the slope and b into the equation

y = 2/3x - 6

So, the equation of the line is y = 2/3x - 6

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Can someone explain this differentiation question to me? I can differentiate but then I'm not sure what I am doing
weeeeeb [17]

note that gradient = \frac{dy}{dx} at x = a

calculate \frac{dy}{dx} for each pair of functions and compare gradient

(a)

\frac{dy}{dx} = 2x and \frac{dy}{dx} = - 1

at x = 4 : gradient = 8 and - 1 : 8 > - 1

(b)

\frac{dy}{dx} = 2x + 3 and \frac{dy}{dx} = - 2

at x = 2 : gradient = 7 and - 2 and 7 > - 2

(c)

\frac{dy}{dx} = 4x + 13 and \frac{dy}{dx} = 2

at x = - 7 : gradient = - 15 and 2 and 2 > - 15

(d)

\frac{dy}{dx} = 6x - 5 and \frac{dy}{dx} = 2x - 2

at x = - 1 : gradient = - 11 and - 4 and - 4 > - 11

(e)

y = √x = x^{\frac{1}{2} }

\frac{dy}{dx} = 1/(2√x) and \frac{dy}{dx} = 2

at x = 9 : gradient = \frac{1}{6} and 2 and 2 > \frac{1}{6}


4 0
3 years ago
Suppose you have $100 in a savings account earning 2 percent interest a year. After five years, would you have more than $102, e
pentagon [3]
You would have more than $102.

Earning 2% a year in interest would get you $2 in interest the very first year:

100(0.02) = 2

Adding this to the amount in the account, you would have 100+2 = 102 after the first year.
6 0
3 years ago
Hello! i need help with this really bad
gizmo_the_mogwai [7]
A is not linear A linear equation is an equation of a straight line, which means that the degree of a linear equation must be

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Not Linear
7 0
2 years ago
Read 45 pages of her book in 2 hours .at that rate how many would she read in 12 hours?
8_murik_8 [283]
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5 0
3 years ago
A cell phone company $500 for a new phone and $60 for a monthly plan. If C(t) is a rational function that represents the average
lisov135 [29]

The range of a function is the set of possible values that can be obtained from the dependent variable. The range of the function is: R: (500, \infty)

Given that:

Phone = \$500

Monthly\ Plan = \$60

Let the number of months be t. So, the function C(t) is calculated as follows:

C(t) = Phone + Monthly\ Plan \times t

C(t) = 500 + 60 \times t

C(t) = 500 + 60t

The range is calculated as follows:

The smallest possible value of t is 0 i.e. when no monthly subscription is done.

So, we have:

C(0) = 500 + 60\times 0= 500 + 0 = 500

And the highest is \infty i.e. for a large value of t

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C(\infty) = 500 + 60\times \infty= 500 + \infty = \infty

Hence, the range of the function is:

R: (500, \infty)

Read more about range of functions at:

brainly.com/question/13824428

5 0
3 years ago
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