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Fed [463]
3 years ago
7

Solve for x: 4x^2 + 2(2x + 2)^2 = 100

Mathematics
2 answers:
balu736 [363]3 years ago
8 0
Would it be 4(1)^2+2(2(1)+2)^2=100
anastassius [24]3 years ago
4 0
Let's solve your equation step-by-step.<span><span><span>4<span>x2</span></span>+<span>2<span><span>(<span><span>2x</span>+2</span>)</span>2</span></span></span>=100</span>Step 1: Simplify both sides of the equation.<span><span><span><span>12<span>x2</span></span>+<span>16x</span></span>+8</span>=100</span>Step 2: Subtract 100 from both sides.<span><span><span><span><span>12<span>x2</span></span>+<span>16x</span></span>+8</span>−100</span>=<span>100−100</span></span><span><span><span><span>12<span>x2</span></span>+<span>16x</span></span>−92</span>=0</span>Step 3: Use quadratic formula with a=12, b=16, c=-92.<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>x=<span><span><span>−<span>(16)</span></span>±<span>√<span><span><span>(16)</span>2</span>−<span><span>4<span>(12)</span></span><span>(<span>−92</span>)</span></span></span></span></span><span>2<span>(12)</span></span></span></span><span>x=<span><span><span>−16</span>±<span>√4672</span></span>24</span></span><span><span>x=<span><span><span>−2</span>3</span>+<span><span><span><span>13</span><span>√73</span></span><span> or </span></span>x</span></span></span>=<span><span><span>−2</span>3</span>+<span><span><span>−1</span>3</span><span>√73</span></span></span></span>Answer:<span><span>x=<span><span><span>−2</span>3</span>+<span><span><span><span>13</span><span>√73</span></span><span> or </span></span>x</span></span></span>=<span><span><span>−2</span>3</span>+<span><span><span>−1</span>3</span><span>√<span>73</span></span></span></span></span>
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Suppose that a number written as a decimal has an infinite number of non-repeating digits after the decimal point. What is this
emmasim [6.3K]

Answer:

Irrational

Step-by-step explanation:

The number is called an irrational number.

These numbers have some distinct properties. The number of numbers after the decimal point is infinite. What this means is that it does not terminate. It keeps on repeating.

Also, these numbers cannot be represented as a ratio of two integers i.e two whole numbers. This is because they keep on going without termination.

Lastly is that these numbers do not repeat after decimal. What I mean by this is that they do not keep repeating a particular number after the decimal point. For example in cases like 2.33333; these are infinite too, but they can be represented by the ratio of two whole numbers and in such cases, they are not irrational in their own respect

8 0
3 years ago
I need help I forgot how to this <br> AND THANK YOU
zlopas [31]

Answer:

x=-2

Step-by-step explanation:

same on both sides

4 0
3 years ago
Read 2 more answers
What is the y-intercept of f(x) = (-1/4)^x?
Elena-2011 [213]

Answer:

The correct answer is A.

To find the y-intercept, substitute in  0  for  x  and solve for  y .

6 0
3 years ago
Find 2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.<br><br> Is -3 the correct answer?
Ket [755]
We're given the algebraic expression 2x^2 - 2z^4 + y^2 - x^2 + z^4

By hypothesis, x = -4, y = 3 and z = 2

Let's replace each letter by its given value:

2x^2 - 2z^4 + y^2 - x^2 + z^4
2(-4)^2 - 2(2)^4 + (3)^2 - (-4)^2 + (2)^4
(2*16) - 2*16 + 9 - 16 + 16
32 - 32 + 9 - 16 + 16
9

So wrong. The correct answer is not -3, but 9.

Hope this helps! :D
6 0
3 years ago
What is the distance between two points on the globe 30° north and 50° south​
wlad13 [49]

Answer:

The distance between two points on the globe 30° north and 50° south at the equator is the same as latitude, roughly 69 miles. At 45 degrees north or south, the distance between is about 49 miles (79 km). The distance between longitudes reaches zero at the poles as the lines of meridian converge at that point.

Step-by-step explanation:

Sorry If it is wrong.

3 0
3 years ago
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