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julia-pushkina [17]
3 years ago
11

Pls help ASAP due tonight

Mathematics
1 answer:
tatuchka [14]3 years ago
6 0

Answer:

y = -1/2x + 1

Step-by-step explanation:

in order to find the slope, you use rise/run.

for example,the point on (-2,2) and the point on (-4,3) goes UP (rise) by 1, and goes ACROSS (run) by 2.

this means that the slope of the line is -1/2x.

next, you need to find the y-intercept.

the y-intercept is the point on the Y line on the graph.

for this line, that point is 1.

the y-int is 1.

y=mx+b

mx = slope

b = y-int

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Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 5 sin(xy), (0, 2) maximu
Ahat [919]

Answer with Step-by-step explanation:

We are given that

f(x,y)=5 sinxy

Point=(x,y)=(0,2)

We have to find the maximum rate of change of f at given point.

f_x(x,y)=5ycos(xy)

f_x(0,2)=5(2)cos0=10

f_y(x,y)=5xcosxy

f_y(0,2)=5(0)cos0=0

\Delta f(0,2)=f_x(0,2)+f_y(0,2)=10i+0j

Maximum rate of change of f at point (0,2)=\mid \Delta f(0,2)\mid=\sqrt{x^2+y^2}

Where x=Coefficient of i

y=Coefficient of j

By using the formula

Maximum rate of change of f at point (0,2)=\sqrt{(10)^2+0}=10

Direction of maximum rate of change of f=\Delta\har{f}=\frac{\Delta f(0,2)}{\mid\Delta f(0,2)\mid}=\frac{10i}{10}=i

7 0
3 years ago
A building in a city has a rectangular base. the length of the base measures 65 ft less than twice the width. the perimeter of t
dybincka [34]

By solving a system of equations, we will see that the width is 170ft and the length 275 ft.

<h3>How to get the dimensions of the base?</h3>

For a rectangle of length x and width y, the perimeter is:

P = 2*(x + y).

Here we know that:

x = 2y - 65ft

p = 890ft = 2(x + y)

So we have a system of equations.

To solve this, we need to replace the first equation into the second one:

890ft = 2(x + y)

890ft = 2(( 2y - 65ft) + y)

Now we can solve this for y.

890ft = 4y - 130ft + 2y

890ft + 130ft = 6y

1020ft/6 = y = 170ft

So the width is 170ft, and we know that:

x = 2y - 65ft = 2*(170ft) - 65ft = 275ft

So the length is 275 ft.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

5 0
1 year ago
I need help with this I will mark you if right
kodGreya [7K]
I’m pretty sure it’s c
7 0
2 years ago
Stan has made a $125.30 monthly deposit into an account that pays 1.5% interest, compounded monthly, for 35 years. He would now
MissTica
The future value of a monthly deposit A=125.30 at annual interest i=0.015 per annum for n=35 years compounded monthly is given by
FV=A((1+i/12)^(12*n)-1)/(i/12)
=125.30(1+0.015/12)^(12*35)/(0.015/12)
=$69156.05

The annuity formula is given by
Payment = r(PV)/(1-(1+r)^(-n))
where
r=interest rate per period = 0.015/12
PV= $69156.05
n=20*12=240
so
Payment = (0.015/12)<span>69156.05/(1-(1+0.015/12)^(-240))
= $333.71  per month.</span>
7 0
3 years ago
Read 2 more answers
State the solution to the equations f(x) and g(x).
Digiron [165]

Answer:

x = -1

Step-by-step explanation:

f(x) = g(x) when x = -1

3 0
2 years ago
Read 2 more answers
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