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Virty [35]
2 years ago
5

Express the product in simplest form.

Mathematics
1 answer:
Dmitry [639]2 years ago
8 0

The product in simplest form is (x - 4)

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

\frac{8}{2x+8} \times \frac{x^2-16}{4}

We have to find the product in simplest form

In the given expression,

2x + 8 = 2(x+ 4)

We know that,

a^2-b^2=(a+b)(a-b)

Therefore,

x^2-16 = x^2-4^2 =(x+4)(x-4)

Substitute these in given expression

\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4}

Cancel the common factors,

\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4} = x - 4

Thus the product in simplest form is (x - 4)

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Help ne with this math
stira [4]

The answer is A,E,G,L,D,and H.

You can check this by doing this:

This is for A

16*4=84

12*7=64

84+64=148

6 0
3 years ago
What are characteristics of nonvascular plants? (Select all that apply.)
igomit [66]

Answer: They have xylem vessels and phloem vessels

Step-by-step explanation:

7 0
1 year ago
A rectangle has a height of 5m^4 and a width of m^2-2m-1.
vovangra [49]

Step-by-step explanation:

Area of rectangle= lw

= 5 {m}^{4}  \times ( {m}^{2}  - 2m - 1) \\  = 5 {m}^{6}  - 10 {m}^{5}   - 5 {m}^{4}  \\

3 0
3 years ago
Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer
Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

0=(3x+2)(x-4)

To solve the given equation, we can use the Zero Product Property according to which if the product <em>A.B = 0</em>, then either A = 0 OR B = 0.

Using this property:

(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply (3x+2)(x-4) i.e. 3x^2-12x+2x-8 = 3x^2-10x-8

So, the equation becomes:

0=3x^2-10x-8

Comparing this equation to standard quadratic equation:

ax^2+bx+c=0

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}

The answer is same from both the approaches.

So, the correct answer is:

C) Both

3 0
2 years ago
Find the amount erica owes at the end of 6 years if $60000 is loaned to her at a rate of 4% compounded monthly
RSB [31]

Answer: $76,244.51

Step-by-step explanation:

You need to use the compound interest formula here.

First of all however, you need to convert the terms to monthly figures because the interest is compounded monthly.

4% in months = 4 / 12 = 4/12%

6 years = 6 * 12 = 72 months

Now use the compound interest formula:

= Amount * (1 + rate) ^ number of years

= 60,000 * ( 1 + 4/12%) ⁷²

= $76,244.51

4 0
2 years ago
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