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3 years ago

Solve this question using the substitution method.

1 answer:

8 0

Y=1-2x
-4x+3y=-17

Plug in y into -4x+3y=-17
-4x+3 (1-2x)=-17
-4x+3-6x=-17
-10x+3=-17
-3 both sides
-10x=-20
÷-10 both sides
x=2
plug in x to find y
y=1-2 (2)
y=1-4
y=-3

x+3y=9
2x+3y=15

make first equation into x= form
-3y both sides
x=-3y+9
2x+3y=15
plug in x into 2x+3y=15
2 (-3y+9)+3y=15
-6y+18+3y=15
-3y+18=15
-18 both sides
-3y=-3
÷-3 both sides
y=1
plug in y
x+3 (1)=9
x+3=9
-3 both sides
x=6

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Use simpson's rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. compare y

Lubov Fominskaja [6]

y = ln x , 1 <= x <= 3, about x axis and n = 10, dy/dx = 1/ x

S = (b a) ∫ 2π y √( 1 + (dy/dx) ^2) dx

so our f(x) is 2π y √( 1 + (dy/dx) ^2)

(b - a) / n = / 3 = (3-1) / 30 = 1/15

x0 = 1 , x1 = 1.2, x2 = 1.4, x3 = 1.6 ....... x(10) = 3

So we have , using Simpsons rule:-

S10 = (1/15) ( f(x0) + 4 f(x1) + 2 f)x2) +.... + f(x10) )

= (1/15) f(1) + f(3) + 4(f(1.2) + f(1.6) + f(2) + f(2.4) + f(2.8)) + 2(f(1.4) + f(1.8) + f(2.2) + f(2.6) )

( Note f(1) = 2 * π * ln 1 * √(1 + (1/1)^2) = 0 and f(3) = 2π ln3√(1+(1/3^2) = 7,276)

so we have S(10)

= 1/15 ( 0 + 7.2761738 + 4(1.4911851 +

5 0

4 years ago

The side length of a cube is represented by s as shown in the equation below.

Gekata [30.6K]

Answer:

7 and -7

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

write an equation that represents the following sentence? the sum of a number and two is twice the number.

Bogdan [553]

The sum of a number and 2
x + 2
is twice the number
2x
answer
<span>x + 2 = 2x</span>

5 0

4 years ago

Of the 50 people who started a math class meeting at 10:00 each morning, only 37 finished the class. What fraction of people fin

saveliy_v [14]

Answer:

37/50

Step-by-step explanation:

So 37 out of 50 who finished the class, so 37/50 .

And you can't simplify it.

6 0

3 years ago

1. When you measure the length of an object to the eighth of an inch and again to the fourth of an inch, which measurement is mo

sladkih [1.3K]

Answer:

The eighth of an inch scale measures more precisely.

Step-by-step explanation:

An eighth of an inch means that one inch is divided into 8 equal lengths on the scale i.e. the minimum length that can be measured is $\frac{1}{8} =0.125$ inch.

Again a fourth of an inch means that one inch is divided into 4 equal lengths on the scale i.e. the minimum length that can be measured is $\frac{1}{4} =0.25$ inch.

Therefore, the eighth of an inch scale measures more precisely as it can measure more small measurements. (Answer)

6 0

3 years ago