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3 years ago

Shikita borrowed money from her brother and paid back a set amount each week. The table shows how much she owed in a given week.

Mathematics

1 answer:

Tresset [83]3 years ago

8 0

Answer:

y= -2.5x+40

Step-by-step explanation:

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Consider the following.3x + 3y = 8(a) Find y' by implicit differentiation.(b) Solve the equation explicitly for y and differenti

ludmilkaskok [199]

Answer:

a.y'=-1

b.y'=-1

c.Yes

Step-by-step explanation:

We are given that consider a function

$3x+3y=8$

Implicit function: That function is a relation in which dependent variable can not be expressed in terms of independent variable

Explicit function: It is that function in which dependent variable can be expressed in terms of independent variable.

a. $3x+3y=8$

Differentiate w.r.t x then we get

$3+3\frac{dy}{dx}=0$

$3\frac{dy}{dx}=-3$

$\frac{dy}[dx}=\frac{-3}{3}=-1$

$\frac{dy}{dx}=y'=-1$

b. $3x+3y=8$

$3y=8-3x$

$y=\frac{8-3x}{3}$

Differentiate w.r.t x then we get

$\frac{dy}{dx}=\frac{-3}{3}=-1$

$\frac{dy}{dx}=y'=-1$

When we substituting the value of y obtained from part b into a solution of part a then we get

$y'=-1$

Hence, solutions are consistent.

8 0

3 years ago

Five more than n is equal to 9

dedylja [7]

n+5=9 is the answer for this

4 0

4 years ago

A colony of 50 bacteria doubles in size every 170 minutes. What will the population be 680 minutes from now?

kkurt [141]

800 bacteria.
________

8 0

3 years ago

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Please help to solve this.<br> Find sin5x,if sinx+cosx=1,4

MrMuchimi

Answer:

Hello,

Step-by-step explanation:

we must first remember that:

$\boxed{sin(5x)=5sin(x)-20*sin^3(x)+16*sin^5(x)}\\\\$

Let say t=sin(x)

$sin(x)+cos(x)=1.4\\\\t+\sqrt{1-t^2}=1.4\\\sqrt{1-t^2}=1.4-t\ we\ square\\1-t^2=1.4^2+t^2-2.8*t\\2t^2-2.8*t+0.96=0\\\Delta=2.8^2-4*2*0.96=0.16=0.4^2\\\\t=\dfrac{2.8-0.4}{4} =0.6\ or\ t=\dfrac{2.8+0.4}{4}=0.8\\\\t^3=0,216\ or\ t^3=0,512\\\\t^5=0,07776\ or\ t^5=0,32768\\\\\boxed{sin(5x)=5*0.6-20*0.216+16*0.07776=-0,07584}\\\\or\\\\\boxed{sin(5x)=5*0.8-20*0.512+16*0.32768=-0,99712}$

8 0

3 years ago

Jose rides his bicycle for 5 minutes to travel 8 blocks .He rides for 10 minutes to travel 16 blocks

professor190 [17]

It not is a question
15 = 24
20= 32
25=40

8 0

3 years ago

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