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ICE Princess25 [194]
3 years ago
11

Simplify 2(x + 4) + 3(x - 4

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
3 0
Answer:<span>=<span><span>5x</span>−4      </span></span>=<span><span><span><span><span>(2)</span><span>(x)</span></span>+<span><span>(2)</span><span>(4)</span></span></span>+<span><span>(3)</span><span>(x)</span></span></span>+<span><span>(3)</span><span>(<span>−4</span>)</span></span></span><span>=<span><span><span><span><span>2x</span>+8</span>+<span>3x</span></span>+</span>−12</span></span>Combine Like Terms:<span>=<span><span><span><span>2x</span>+8</span>+<span>3x</span></span>+<span>−12</span></span></span><span>=<span><span>(<span><span>2x</span>+<span>3x</span></span>)</span>+<span>(<span>8+<span>−12</span></span>)</span></span></span>=<span><span>5x</span>+<span>−<span>4</span></span></span><span>  
</span>
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PLEASE HELP WITH THE FIRST 3 parts
PIT_PIT [208]

Answer:

<em>a) x = -2+√3 and -2-√3</em>

<em>b) x = -1 + 2√3/3 and -1 - 2√3/3</em>

<em>c) x = 3.185 and 0.315</em>

Step-by-step explanation:

To solve the following quadratic equation, we will use the general formula

x = -b±√b²-4ac/2a

a) x²+4x+1 = 0

a = 1, b = 4 and c = 1

Substitute into the formula

x = -4±√4²-4(1)(1)/2(1)

x = -4±√16-4/2

x = -4±√12/2

x = -4±2√3/2

x  = (-4+2√3)/2 and  (-4-2√3)/2

<em>x = -2+√3 and -2-√3</em>

b) 3x²+6x-1 = 0

a = 3, b = 6 and c = -1

Substitute into the formula

x = -6±√6²-4(3)(-1)/2(3)

x = -6±√36+12/6

x = -6±√48/6

x = -6±4√3/6

x  = (-6+4√3)/6 and  (-6-4√3)/6

<em>x = -1 + 2√3/3 and -1 - 2√3/3</em>

<em></em>

c) 2x² - 7x + 2 = 0

a = 2, b = -7 and c = 2

x = -(-7)±√(-7)²-4(2)(2)/2(2)

x = 7±√49-16/4

x =7±√33/4

x = 7±5.74/4

x = 7+5.74/4 and 7-5.74/4

x = 12.74/4 and 1.26/4

<em>x = 3.185 and 0.315</em>

<em></em>

4 0
3 years ago
3/5 is 30% of what number?
Daniel [21]
3/5 of what number =15
5 0
3 years ago
a right pyramid with a square base has a base edge length of 24 feet and slant height of 20 feet what is the height of the pyram
Sphinxa [80]

Let

l-------> the slant height of the right pyramid

b------> the length side of the square base of the right pyramid

h------> the height of the right pyramid

we know that

Applying the Pythagorean Theorem

l^{2} =h^{2}+(\frac{b}{2})^{2}

Solve for h

h^{2}=l^{2}-(\frac{b}{2})^{2}

in this problem we have

l=20\ ft\\\frac{b}{2} =\frac{24}{2} =12\ ft

Substitute in the formula

h^{2}=20^{2}-12^{2}

h^{2}=256

h=16\ ft

therefore

<u>the answer is</u>

The height of the right pyramid is 16\ ft

7 0
3 years ago
Read 2 more answers
What are the zeros of the polynomial function? f(x)=x3+2x2−x−2 Select each correct answer. A.−3 B. −2 C. −1D. 0 E. 1F. 2 G. 3
LenaWriter [7]

Answer:

B. −2

C. −1

E.  1

Step-by-step explanation:

He have been given a polynomial function f(x)=x^3+2x^2-x-2. We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our function with zero and solve for x as:

x^3+2x^2-x-2=0

Now, we will factor our equation by grouping method.

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

x^2(x+2)-1(x+2)=0

(x+2)(x^2-1)=0

Now, we will use difference of squares a^b-b^2=(a+b)(a-b)

(x+2)(x^2-1^2)=0

(x+2)(x+1)(x-1)=0

Using zero product property, we will get:

(x+2)=0\text{ or }(x+1)=0\text{ or }(x-1)=0

x=-2\text{ or }x=-1\text{ or }x=1

Since the zeros of our given function are -2,-1\text{ and }1, therefore, options B, C and E are correct choices.

4 0
3 years ago
Joe collects Pokemon cards. He already has 100 and buys a dozen more each week when he goes to the store. Jessica also collects
Tomtit [17]

Answer:

5 weeks

Step-by-step explanation:

To find the answer to this question we have to write an equation for both situation and put them equal to each other.

Let's write an equation for Joe:

12x + 100

Now, for Jessica

6x + 130

Next, put them equal to each other:

12x + 100 = 6x + 130

Solve:

12x + 100 = 6x + 130

6x + 100 = 130

6x = 30

x = 5

Therefore, it will take 5 weeks for Joe and Jessica to have the same amount of cards.

Check:

12(5) + 100 = 6(5) + 130

60 + 100 = 30 + 130

160 = 160

<em>I hope this helps!!</em>

<em>- Kay :)</em>

5 0
3 years ago
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