3 years ago

Write an equation for the following: The temperature is was 72° F and then dropped 2° per hour for the next eight hours.

1 answer:

8 0

so every hour it droped 2 degrees and it did this for eight hours you could times 2 by 8 and get 16 then minus it from 72

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Given f(x)= -5x + 1, solve for x when f(x) = 6.

aniked [119]

-29

-5(6) + 1
-30 + 1
-29

hope this helps !

7 0

2 years ago

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Apply Newton’s method to estimate the solution of x3 − x − 1 = 0 by taking x1 = 1 and finding the least n such that xn and xn +

ss7ja [257]

Solution :

Given

$f(x)=x^3-x-1, x_1=1$

$f'(x)=3x^2-1$

Let the initial approximation is $x_1 =1$

So by Newton's method, we get

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)},n=1,2,...$

$x_2=x_1-\frac{f(x_1)}{f'(x_1)}=1-\frac{1^3-1-1}{3(1)^2-1}=1.5$

$x_3=1.5-\frac{(1.5)^3-1.5-1}{3(1.5)^2-1}=1.34782608$

$x_4=1.34782608-\frac{(1.34782608)^3-1.34782608-1}{3(1.34782608)^2-1}=1.32520039$

$x_5=1.32520039-\frac{(1.32520039)^3-1.32520039-1}{3(1.32520039)^2-1}=1.32471817$

$x_6=1.32471817-\frac{(1.32471817)^3-1.32471817-1}{3(1.32471817)^2-1}=1.32471795$

$x_5 \approx x_6$ are identical up to eight decimal places.

The approximate real root is x ≈ 1.32471795

∴ x = 1.32471795

4 0

3 years ago

Write the equation of the line that passes through the point (2,-9)<br> and has a slope of -5.

balu736 [363]

Step-by-step explanation:

Find equation

y - y1 = m(x - x1)

y + 9 = -5(x - 2)

y = -5x + 10 - 9

y = -5x + 1 → Equaton

7 0

2 years ago

In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their

ololo11 [35]

Jim is 6 / Harry is 2

In 4 years Harry will be 6
In 2 years Jim will be 8 and Harry will be 4 which is twice as much Harry's age.

hope this helps!

5 0

2 years ago

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X + 2y - 3z = 11<br> 2x + y + z = -1<br> x - 3y - z=-8

Sav [38]

Answer:

x = -1 y = 3 and z =2

Step-by-step explanation:

that is the solution above

5 0

2 years ago