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3 years ago

How do I solve this equation? 2(x+1) + 3x = 17

Mathematics

2 answers:

kvv77 [185]3 years ago

7 0

2(x + 1) + 3x = 17

Distributive property.

2x + 2 + 3x = 17

Combine like terms.

5x + 2 = 17

Subtract 2 from both sides.

5x = 15

Divide both sides by 5.

Eddi Din [679]3 years ago

5 0

First, you need to use the distributive property and distribute the 2 inside the parentheses.

2(x + 1) + 3x = 17

2(x) + 2(1) + 3x = 17

2x + 2 + 3x = 17 -Combine like terms

2x + 3x + 2 = 17

5x + 2 = 17 -Subtract 2 from both sides of the equation.

5x + 2 - 2 = 17 - 2

5x = 15 -Finally, divide each side by 5 to find your answer

5x/5 = 15/5

x = 3

Hope this helps you!

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Determine whether the given signal is a solution to the difference equation. Then find the general solution to the difference eq

Ulleksa [173]

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

The given equation is:

$y_{k + 2} + 8y_{k +1} - 9y_{k} = 20k + 12..(1)$

put,

$y_k = k^2\\\\y_{k+2}=(k+2)^2\\\\y_{k+1}=(k+1)^2\\\\$

$(k+2)^2+8(K+1)^2-9k^2 = 20k+12\\\\=20k+12= 20K+12\\\\$

hence y_k=k^2 is its solution.

Now,

$\to y_{k+2}+ 8y_k + 1 - 9y_k = 20k + 12$

the symbol form is:

$(E^2+8E-9)_{yk}=20k+12$

$\to m^2+8m-9=0\\\\\to m^2+(9-1)m-9=0\\\\\to m^2+9m-m-9=0\\\\\to m(m+9)-(m+9)=0\\\\\to (m+9)(m-1)=0\\\\\to m=-9 \ \ \ \ \ \ \ m=1\\$

The general solution is:

$y_k = c_1(-9)^k + c_2(`1)^k\\\\y_k =c_1(-9)^k+c_2$

The complete solution is:

$y_k=(y_k)_c+(y_k)_y\\\\y_k= c_1(-9)^k+c_2+k^2$

The answer is option b: $y_k = k^2 + c_1(-9)^k + c_2$

After solve the complete solution is:

$\bold{y_1=c_1(-9)^k+c_2+k^2.....}$

5 0

3 years ago

This grid follows two rules.

fredd [130]

Answer:

a = 4,

b = 12

c = 10

d = 15

Step-by-step explanation:

Since the product of each column is equal, therefore,

b*5 = 60

b = 60 ÷ 5 = 12

c*6 = 60

c = 60 ÷ 6 = 10

Since the sum of each column are equal, therefore,

12 + 10 + a = 5 + 6 + d

22 + a = 11 + d

Think of a number you can add to 22, and another number you can add to 11, which will make both sides equal. Add both numbers, whenmultiplied together should give you 60.

Factors of 60 are:

(a, d)

(1, 60) => 22 + a = 11 + d => 22+1 = 11+60 (incorrect)

(2, 30) => 22 + a = 11 + d => 22+2 = 11+30 (incorrect)

(3, 20) => 22 + a = 11 + d => 22+3 = 21+20 (incorrect)

(4, 15) => 22 + a = 11 + d => 22+4 = 11+15 => 26 = 26 [CORRECT]

(5, 12) => 22 + a = 11 + d => 22+5 = 11+12 (incorrect)

(6, 10) => 22 + a = 11 + d => 22+6 = 11+10 (incorrect)

Therefore,

a = 4,

d = 15

6 0

3 years ago

I need help with this my guys !

luda_lava [24]

Answer:

1/2

Step-by-step explanation:

Slope = rise/run

Rise=1

Run=2

Rise/run=1/2

4 0

3 years ago

Read 2 more answers

Y-9=3/4(x+8) rewrite it in slope intercept form explain your answer.

Angelina_Jolie [31]

Y+-9=3/4x+6 | y=mx+b m=slope b=y-intercept
divide -9÷-9
y=3/4x+6+-9
y=3/4x+-3
m=3/4
b=-3

5 0

3 years ago

What is the slope and y intercept

Vera_Pavlovna [14]

Slope= -2/8
Y-int= -2

5 0

3 years ago