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olga55 [171]
3 years ago
5

Simplify the following expression and justify each step in your simplification. 5(7-x)+6x(3x+4)

Mathematics
2 answers:
Mariulka [41]3 years ago
8 0
35-5x+18x^2+24x 
Simplify:
18x^2+19x+35
SIZIF [17.4K]3 years ago
7 0

Answer:

The simplified form of the given expression is 18x^2+19x+35.

Step-by-step explanation:

The given expression is

5(7-x)+6x(3x+4)

We need to find the simplified form of the given expression.

Using distributive property we get

5(7)+5(-x)+6x(3x)+6x(4)

On further simplification we get

35-5x+18x^2+24x

On combine like terms.

18x^2+(-5x+24x)+35

18x^2+19x+35

Therefore the simplified form of the given expression is 18x^2+19x+35.

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Which shows the best use of the associative and commutative to make simplifying 3/4-5+9-2/4+2 easier
ziro4ka [17]

Answer:

(not this)  3/4-5+9-2/4+2

Step-by-step explanation:

1 1/3 instead of 3/4 and 2/4

3 0
3 years ago
I need to find side x in its simplest radical form using the special right triangles method
crimeas [40]

Answer:

\sqrt{6}

Explanation:

From the given diagram,

Hypotenuse sde = x

Opposite side = \sqrt{3}

Using the SOH CAH TOA identity

Sintheta = opposite/hypotenuse

Sin 45 = \sqrt{3}/x

x = \sqrt{3}/sin45

\begin{gathered} x\text{ =}\frac{\sqrt[]{3}}{\sin 45} \\ x\text{ = }\frac{\sqrt[]{3}}{\frac{1}{\sqrt[]{2}}} \\ x\text{ = }\sqrt[]{3^{}}\cdot\sqrt[]{2} \\ x\text{ =}\sqrt[]{6} \end{gathered}

Hence the value of x is \sqrt{6}

5 0
1 year ago
What is 83 divided by 3
Ksivusya [100]
83 divided by 3. 
Exact Form: 83/3
Decimal Form: 27.66666666. . .
Mixed Number Form: 27 2/3
4 0
3 years ago
4x + 2y = 8 16x - y = 14
lys-0071 [83]
Equation 1)  4x + 2y = 8
Equation 2)  16x - y = 14

Multiply all of equation 2 by 2.

2)  2(16x - y = 14)

2)  32x - 2y = 28
1)  4x + 2y = 8

Add equations together.

36x = 36

Divide both sides by 36.

x = 1

Plug in 1 for x in the first equation.

4x + 2y = 8

4(1) + 2y = 8

4 + 2y = 8

Subtract 4 from both sides.

2y = 8 - 4

2y = 4

Divide both sides by 2.

y = 4/2

y = 2

So, x = 1, y = 2

~Hope I helped!~
7 0
3 years ago
Andrew invested $20,000 in mutual funds and received a sum of $35,000 at the end of the investment period. Calculate the ROI. I
Colt1911 [192]
The correct answer to this question is 75%
8 0
3 years ago
Read 2 more answers
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