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3 years ago

Simplify the following expression and explain your answer. 3x-y+2y+4xy

Mathematics

2 answers:

Andrei [34K]3 years ago

7 0

Answer:

(2x+2y)(2y)+3x-y

Step-by-step explanation:

. . 3x-y+2y+4xy

3x+y+4xy

x²+2xy+y²-x²+2xy-y²+3x-y

(x+y)²-(x²-2xy+y²)+3x-y

(x+y)²-(x-y)²+3x-y

=(x+y+x+y)(x+y-x+y)+3x-y

(2x+2y)(2y)+3x-y

den301095 [7]3 years ago

5 0

Answer:

Step-by-step explanation:

Here you go mate

PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction

Step 1

3x-y+2y+4xy equation/Question

step 2

3x-y+2y+4xy simplify by removing brackets and combining terms

(4xy)+(3x)+(-y+2y)

4xy+3x+y

answer

4xy+3x+y

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JulijaS [17]

Answer:

3.5

Step-by-step explanation:

because I know

6 0

3 years ago

Max points pls help me asap GIVE CORRECT ANSWER I will report if anything ty pls !

kati45 [8]

Answer:

Step-by-step explanation:

½ × base × height

½ × 11 × 14 = 77 units²

8 0

3 years ago

A factory buys 10% of its components from suppliers B and the rest from supplier C. It is known that 6% of the components it buy

Aleks [24]

Answer:

The percentage of the components bought from supplier C that are faulty = 88%

Complete Question:

A factory buys 10% of its components from supplier A, 30% from supplier B,and the rest from supplier C. it is known that 6% of the components it buys are faulty. of the components bought from supplier A, 9% are faulty and of the components bought from supplier B, 3% are faulty.

find the percentage of the components bought from supplier C that are faulty ?

Step-by-step explanation:

Let x be the total components bought by the factory

Components supplied by A = 10% of x

Components supplied by B = 30% of x

The rest supplied by C:

Percentage supplied by C = 100-(30+10) = 100-40 = 60%

Components supplied by C = 60% of x

% of all faulty components = 6%

Amount of faulty component = 6% of x

faulty components from A= 9%

Amount of faulty component from A= 9% × (6% of x) = 0.0054x

faulty components from B= 3%

Amount of faulty component from A= 3% × (6% of x) = 0.0018x

Amount of faulty component from C = (6% of x) - (0.0054x+0.0018x)

= 0.06x - 0.0072x

= 0.0528x

Let the percentage of the components bought from supplier C that are faulty = y%

y% × 6% of x = 0.0528x

y% × 0.06x = 0.0528x

y% = 0.0528x/0.06x

y% = 0.88 = 88%

The percentage of the components bought from supplier C that are faulty = 88%

3 0

4 years ago

What is the area of this triangle in the coordinate plane?

Klio2033 [76]

Hey. Let me help you on this one.

In order for us to solve this problem, we will be needing to find both length and width of the triangle on this coordinate plane. We will also need to know how to use the triangle area formula.

I will be attaching an image containing the shown difference between a rectangle, and a triangle, and on how to understand why the area of a triangle is like this.

First of all, let's find the length of the triangle. It's 11 units, and we can determine that by counting up all of the units, or simply finding the difference between x-point 13 and 2, which is going to be 11.

Same applies to the width of the triangle. We will need to either count up all the units individually, or find a difference between a higher y-point and lower y-point. That difference is going to 5 units, since $9-4=5$ .

Now, let's use the formula for the triangle area and substitute the values.

$S= \frac{a*b}{2}$
$S= \frac{11*5}{2}$
$S= \frac{55}{2}$
$S=27.5$

Answer: Area of the triangle on the coordinate plane is 27.5 units squared.