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3 years ago

What is -3(4x+3)+4(6x+1)? What is X when the answer is 41?

2 answers:

7 0

First distribute the -3 to 4x + 3
It'll be -12x - 9

Then distribute 4 to 6x+1
It'll be 24x+4

-12x - 9 + 24x + 4 = 41
Add the like terms
12 x -5 = 41
12 x = 46
x = 46/ 12

In fractions the answer is 23/6
In decimals the answer is 3.84

Let me know if you need more help :)

Sergio [31]3 years ago

7 0

-12x - 9 + 24x + 4 = 41
12x - 5 = 41
12x = 41 + 5
12x = 46
x = 46/12
x = 23/6.

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vladimir1956 [14]

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3 answer to 7+(-4)

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3 years ago

Please help me with this, image attached.

Ainat [17]

Answer: x = 9 (choice D)

Assuming this is a geometric kite, then this means that triangle ABD is a reflection over the line BD to get triangle BCD. Furthermore, this points to AB and BC being the same length

AB = BC

3x - 5 = 22 .... substitution

3x - 5+5 = 22+5 .... add 5 to both sides

3x = 27

3x/3 = 27/3 ..... divide both sides by 3

x = 9

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3 years ago

Two sets of equatic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2: x

kherson [118]

Answer: The correct line is

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:

$\textup{Line 1: }x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25,\\\\\textup{Line 2 :}x^2+5x+6=(x+2)(x+3)=(x+2.5)^2+6.25.$

We are to select one of the lines from above that represent three equivalent expressions.

We can see that there are three different forms of a quadratic expression in each of the lines:

First one is the simplified form, second is the factorised form and third one is the vertex form.

So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.

We have

$\textup{Line 1: }\\\\x^2+3x+2\\\\=x^2+2x+x+2\\\\=x(x+2)+1(x+2)\\\\=(x+1)(x+2),$

and

$x^2+3x+2\\\\=x^2+2\times x\times 1.5+(1.5)^2-(1.5)^2+2\\\\=(x+1.5)^2-2.25+2\\\\=(x+1.5)^2-0.25.$

So,

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Thus, Line 1 contains three equivalent expressions.

Now,

$\textup{Line 2: }\\\\x^2+5x+6\\\\=x^2+3x+2x+6\\\\=x(x+3)+2(x+3)\\\\=(x+2)(x+3),$

and

$x^2+5x+6\\\\=x^2+2\times x\times 2.5+(2.5)^2-(2.5)^2+6\\\\=(x+2.5)^2-6.25+6\\\\=(x+2.5)^2-0.25\neq (x+2.5)^2+6.25.$

So,

$\textup{Line 2 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2+6.25.$

Thus, Line 2 does not contain three equivalent expressions.

Hence, Line 1 is correct.

7 0

4 years ago

Solve for x.

cluponka [151]

The correct answer is none of the ones listed. The correct answer is 18/5.

In order to find this, follow the order of operations.

−(−2−5x)+(−2)=18 ---> Distribute the negative

2 + 5x - 2 = 18 ----> Combine like terms

5x = 18 -----> Divide by 5

x = 18/5

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4 years ago

Match the equation with the step needed to solve it.

ivanzaharov [21]

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3 years ago