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2 years ago

Expand and simplify (x + 5)(x-9)

Mathematics

1 answer:

aev [14]2 years ago

7 0

Answer:is

=x(x-4)-45

Step-by-step explanation:q= (x+5) (x-9)

in the mathematical rules when the variables are in the brackets it means we have to remove the brackets by,multiplying the first variable to the second variable in another bracket, and then so on.

=x^2-9x+5x-45

=x^2-4x-45

by simplifying completely it will become,

=x(x-4) -45

that's the answer.

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How do I expand the following equation with the binomial theorem?

Vsevolod [243]

Answer:

16x^4+32x^3+24x^2+8x+1

Step-by-step explanation:

(2x+1)^4

(2x+1)*(2x+1)*(2x+1)*(2x+1)

4 0

2 years ago

8x - (2x - 13) = 42 solve and check the equation

pantera1 [17]

Answer:

x = 29/6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

8x - (2x - 13) = 42

Step 2: Solve for x

[Distributive Property] Distribute negative: 8x - 2x + 13 = 42
[Subtraction] Combine like terms: 6x + 13 = 42
[Subtraction Property of Equality] Subtract 13 on both sides: 6x = 29
[Division Property of Equality] Divide 6 on both sides: x = 29/6

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 8(29/6) - [2(29/6) - 13] = 42
Multiply: 116/3 - [29/3 - 13] = 42
[Brackets] Subtract: 116/3 - -10/3 = 42
Subtract: 42 = 42

Here we see 42 does indeed equal 42.

∴ x = 29/6 is the solution.

7 0

3 years ago

Read 2 more answers

If FH = 9x + 15 and GH = 5x + 4, then FG = ?

Tatiana [17]

Answer:

FG = 39

Step-by-step explanation:

From the question given:

FH = 9x + 15

GH = 5x + 4

FG = ?

From the question given above, we can say that G is the midpoint of FH. This implies that:

FH = FG + GH

With the above idea in mind, we can obtain FG as follow:

FH = 9x + 15

GH = 5x + 4

FG = ?

FH = FG + GH

9x + 15 = FG + 5x + 4

Rearrange

FG = 9x + 15 - 5x - 4

FG = 9x - 5x + 15 - 4

FG = 4x + 11

Next, we shall determine the value of x. This can be obtained as follow:

Since G is the midpoint of FH, it therefore means that FG and GH are equal i.e

FG = GH

With the above idea in mind, we can obtain the value of x as follow:

FG = 4x + 11

GH = 5x + 4

FG = GH

4x + 11 = 5x + 4

Collect like terms

11 - 4 = 5x - 4

7 = x

x = 7

Thus, we can obtain the value of FG as follow:

FG = 4x + 11

x = 7

FG = 4x + 11

FG = 4(7) + 11

FG = 28 + 11

FG = 39

***Check ***

FH = 9x + 15

x = 7

FH = 9(7) + 15 = 63 + 15 = 78

GH = 5x + 4

x = 7

GH = 5(7) + 4 = 35 + 4 = 39

FG = 4x + 11

x = 7

FG = 4(7) + 11 = 28 + 11 = 39

FH = FG + GH

FH = 78

FG = 39

GH = 39

FH = FG + GH

78 = 39 + 39

78 = 78

4 0

3 years ago

What's the lowest term of 6 over 10

andriy [413]

They both can be divided by 2, so the simplest form would be 3 over 5

5 0

3 years ago

Read 2 more answers

Graph the quadratic function y = 2x2 − 6x − 140. What are the solutions of the quadratic equation 0 = 2x2 − 6x − 140?

enyata [817]

Answer:

Step-by-step explanation:

just did the test on edg 2020

hope this helped

5 0

3 years ago