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3 years ago

Solve y=-x+2 and y=-2x-1 as a graph, substitution, or elimination?

Mathematics

1 answer:

kotegsom [21]3 years ago

8 0

Answer:

(- 3, 5 )

Step-by-step explanation:

Given the 2 equations

y = - x + 2 → (1)

y = - 2x - 1 → (2)

Using substitution method.

Substitute y = - x + 2 into (2)

- x + 2 = - 2x - 1 ( add 2x to both sides )

x + 2 = - 1 ( subtract 2 from both sides )

x = - 3

Substitute x = - 3 into (1)

y = - (- 3) + 2 = 3 + 2 = 5

Solution is (- 3, 5 )

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Change 3/8 to a decimal using long divison

sveta [45]

Answer:

.375

Step-by-step explanation:

8 0

3 years ago

The volume of a rectangular prism is given by the expression 2x^4+2x^3-4x^2-4x. Write the volume as the product its dimensions.

telo118 [61]

<h3>Answer: 2x(x^2-2)(x+1)</h3>

=========================================================

Explanation:

First factor out the GCF 2x

2x^4+2x^3-4x^2-4x

2x*x^3+2x*x^2-2x*2x-2x*2

2x(x^3 + x^2 - 2x - 2)

Then let's factor the expression inside the parenthesis using the factor by grouping method

x^3 + x^2 - 2x - 2

(x^3 + x^2) + (- 2x - 2)

x^2(x + 1) - 2(x + 1)

(x^2 - 2)(x+1)

We see that x^3 + x^2 - 2x - 2 factors to (x^2-2)(x+1)

Overall, the original expression fully factors to 2x(x^2-2)(x+1)

length = 2x

width = x^2-2

height = x+1

The order of length, width, and height doesn't matter.

7 0

2 years ago

The diagram below shows a triangle with base (x+5) and height 2x inside a shaded rectangle with length (3x+1) and width (3x-5).

Ilya [14]

Answer:

3 for the first one 2ed one is 5

Step-by-step explanation:

6 0

2 years ago

The difference of three times a number and two is twelve more than the number. Find the number. pls help

NeTakaya

I may be wrong but I got x³- 2 + 12.

4 0

3 years ago

46.Find the quotient and remainder

sleet_krkn [62]

Answer:

30624; 1514,6; a1,6.

4 0

2 years ago