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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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Which of the following options results in a graph that shows exponential growth?
poizon [28]

Answer:

f(x)=0.7(5)^x

Step-by-step explanation:

\text{Exponential function: }y=a\cdot b^x

It is two types of function.

  • Exponential Growth: If function increase as value of x increase.

In this case, a>0 and b>1

  • Exponential decay: If function decrease as value of x increase.

In this case, a>0 and 0<b<1

We need to choose exponential growth function.

\text{Exponential Growth function: }f(x)=0.7(5)^x

Here a=0.75>0 and b=5>1

Therefore, This function is exponential growth.

7 0
3 years ago
Read 2 more answers
The value of a $120,000 house increases by 1.3% per year.
Nitella [24]

Answer:

a. exponential growth

Step-by-step explanation:

the equation is y = 120000(1.03)^x

f(x)=a(1+r)^{x}

5 0
3 years ago
01.01 LC)Which number line best shows how to solve −2 − ( −6)?
liraira [26]

Answer:

-6 - (-8) = 2.

Your number line might have a bubble at 2. Or it may show movement 8 units to the right of -6. Whatever it is, you should end up at the value of 2.

Step-by-step explanation:

4 0
3 years ago
23.82600 round to three significant figures​
fomenos

Answer:

23.8 i think

Step-by-step explanation:

4 0
3 years ago
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Given f(x)=2a^2b+3a^3b^2+2a^2b^4 what is the degree?
lilavasa [31]
We have the following function:
 f (x) = 2a ^ 2b + 3a ^ 3b ^ 2 + 2a ^ 2b ^ 4
 We note that the function depends on x because it is f (x).
 However, there is no variable x in the function.
 Therefore we can assume that the function is constant, since:
 a = constant
 b = constant
 Therefore, the degree of the function is zero
 Answer:
 
The function is zero degree.
7 0
3 years ago
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