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3 years ago

A line has a slope of -3/4 and passes through the point (-5,4) which is the equation on the line

Mathematics

2 answers:

MissTica3 years ago

7 0

Answer:

y = -3/4x -2

Step-by-step explanation:

Slope = -3/4

Therefore y = -3/4x + c

We need to find c. Substitute the given point into the equation.

y = -5, x = 4

y = -3/4x + c

-5 = -3/4 (4) + c

-5 = -3 + c

-5 + 3 = c

-2 = c

The equation of the line

y = -3/4x - 2

Jlenok [28]3 years ago

5 0

Answer:

y-4=-3/4(x+5)

Step-by-step explanation:

y-y1=m(x-x1)

y-4=-3/4(x-(-5))

y-4=-3/4(x+5)

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The graph of the function f(x) = -(x+3)(x - 1) is shown below. What is true about the domain and range of the function? у The do

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3 years ago

Samir is trying to decide between two checking account plans. After researching plans at two banks, he finds that Unity Bank off

GREYUIT [131]

Answer:

The monthly compounded interest rate of 0.14% of Unity Bank is a better plan.

Step-by-step explanation:

Step 1 : Write the formula for calculating a monthly compound interest rate and for calculating an annually compounded interest rate.

Monthly compound interest rate = P(1+r/n)^nxt

n=12 (number of months in a year)

t=1 (number of years)

Annually compound interest rate = P(1+r/n)^nxt

n=1 (because it is for 1 year only)

t=1 (number of years=1)

Step 2 : Lets assume that P is $100 in both banks and time is 1 year.

Step 3 : Lets substitute the values to find out which one is better.

Monthly compound interest rate = P(1+r/n)^nxt

Monthly compound interest rate = 100(1+0.14/12)^12x1

Monthly compound interest rate = 114.93

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8 0

4 years ago

Read 2 more answers

For each of the following vector fields F, decide whether it is conservative or not by computing curl F. Type in a potential fun

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Answer:

1,2 and 4 are conservatives

3 is not conservative

Step-by-step explanation:

We calculate the Curl F

Remember that:

Curl F = < $\frac{dFz}{dy} - \frac{dFy}{dz}, \frac{dFz}{dx} - \frac{dFx}{dz}, \frac{dFy}{dx} - \frac{dFx}{dy}$ >

1. Curl F = <0,0,5-5> = <0,0,0>

The potential function f so that ∇f=F

f(x,y,z) = $-3x^{2} +5xy + 5y^{2}$

Then F is conservative

2. Curl F = < 0, 0 ,0>

The potential function f so that ∇f=F

f(x,y,z) = $-3/2x^{2} -y^{2}+z$

Then F is conservative

3. Curl F = <0 ,0, 10+3xsin(y) - (-cos(y))>

= <0 ,0 , 10 +3xsin(y) + cos(y)<

How the field's divergence is not zero the vector field is not conservative

4. Curl F = <0, 0, 0>

The potential function f so that ∇f=F

f(x,y,z) = $x^{3}+(5/3)y^{3}+(5/3)z^{3}$

Then F is conservative

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3 years ago

Which number is an irrational number?

Svetlanka [38]

Answer:

0.1257486

Step-by-step explanation:

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