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sesenic [268]
3 years ago
9

Which expression is equal to (6x−4)(3x−1)?

Mathematics
1 answer:
Natali5045456 [20]3 years ago
3 0

Answer:

(6x-4)(3x-1)  = 18x^2  - 18x + 4  is the required simplification.

Step-by-step explanation:

Here, the given expression is (6x−4)(3x−1).

By DISTRIBUTIVE PROPERTY of numbers:

A ( B + C ) =  AB + AC

Simplifying the given expression, we get:

(6x-4)(3x-1) = 6x(3x-1)-4(3x-1)\\= 6x(3x)  -1(6x)  -4(3x)  +4\\=18x^2  - 6x - 12x + 4\\18x^2  - 18x + 4

or, (6x-4)(3x-1)  = 18x^2  - 18x + 4

Hence the given expression is simplified.

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3 years ago
When a teacher divided her students into groups of four, she had three students remaining. when she divided them into groups of
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. In Problem 2, how many lateral faces would there be if the base had
Alla [95]

The number of lateral faces for a hexagonal prism or pyramid is 6.

<h3>What is a prism?</h3>

A prism is a three dimensional figure consisting of pair of opposite bases and lateral faces which are parallelogram.

Given that the base off the prism has two sides of length 3 inches and four sides of length 2 inches. Hence the base is hexagonal. The lateral faces would be 6.

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2 years ago
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3 years ago
The function g(x) = 12,500(0.91)x represents the value of a piece of farm equipment after x years. Approximately when will its v
topjm [15]

Answer:

B. 7.3 years

Step-by-step explanation:

The question is wrong. The correct function is :

g(x)=12500(0.91)^{x}

We have the function g(x) that represents the value of a piece of farm equipment after x years.

This means that when x=0 its original value is :

g(0)=12500(0.91)^{0}=12500

Now we want to calculate approximately when will its value be half its original value. Then, we write :

\frac{12500}{2}=6250

6250 is half of its original value. We need to find x that satisfies the following equation :

g(x)=6250=12500(0.91)^{x}

Solving for x :

6250=12500(0.91)^{x} ⇒

0.5=(0.91)^{x}

Now we apply natural logarithm to each side of the equation :

ln(0.5)=ln[(0.91)^{x}]

Using logarithm properties :

ln(0.5)=ln[(0.91)^{x}] ⇒

ln(0.5)=x[ln(0.91)]

x=\frac{ln(0.5)}{ln(0.91)} ⇒

x ≅ 7.3496

The correct option is B. 7.3 years

4 0
3 years ago
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