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Musya8 [376]
3 years ago
5

40 pts! solve the following equation by completing the square. 4x^2 - 16x + 8 = 0

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
4 0

Answer:

B

Step-by-Step

sammy [17]3 years ago
3 0

Step-by-step explanation:

4 {x}^{2}  - 16x + 8 = 0 \\  {(2x)}^{2}  - 2.2x.4 +  {4}^{2}  - 8  = 0 \\  {(2x - 4)}^{2}  - 8 = 0 \\ 2x - 4 =   \sqrt{8}  \:  -  \sqrt{8}  \\ x = 2 +  \sqrt{2}  \\ x = 2 -  \sqrt{2}

..............................................

Plzz mark it as a brilliant answer

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Analyzing a Graph In Exercise, analyze and sketch the graph of the function. Lable any relative extrema, points of inflection, a
Anit [1.1K]

Answer:

Analyzed and Sketched.

Step-by-step explanation:

We are given y=\frac{\ln\left(5x)}{x^2}

To sketch the graph we need to find 2 components.

1) First derivative of y with respect to x to determine the interval where function increases and decreases.

2) Second derivative of y with respect to x to determine the interval where function is concave up and concave down.

y'=\frac{1-2\ln\left(5x)}{x^3}=0

x = \sqrt e/5 is absolute maximum

y''=\frac{6\ln\left(5x)-5}{x^4}=0

x=e^{5/6}/5 is the point concavity changes from down to up.

Here, x = 0 is vertical asymptote and y = 0 is horizontal asymptote.

The graph is given in the attachment.

4 0
3 years ago
Diego is building a kitchen table and a coffee table. The legs of a kitchen table must be twice the height of a coffee table and
GuDViN [60]
B. They are twice as long and there are 4 of them 
7 0
3 years ago
Read 2 more answers
Add the two expressions. 8.9x−5 and −6.8x+8 Enter your answer, in simplified form, in the box.
Verizon [17]
Let's simplify step-by-step.<span><span><span><span>8.9x</span>−5</span>−<span>6.8x</span></span>+8</span><span>=<span><span><span><span><span><span>8.9x</span>+</span>−5</span>+</span>−<span>6.8x</span></span>+<span>8

</span></span></span>Combine Like Terms:<span>=<span><span><span><span>8.9x</span>+<span>−5</span></span>+<span>−<span>6.8x</span></span></span>+8</span></span><span>=<span><span>(<span><span>8.9x</span>+<span>−<span>6.8x</span></span></span>)</span>+<span>(<span><span>−5</span>+8</span>)</span></span></span><span>=<span><span>2.1x</span>+<span>3

The simplified answer is </span></span></span><span><span>2.1x</span>+<span>3</span></span>
8 0
3 years ago
Which equation could represent p? Please please help
Andre45 [30]

Answer:

<h2>P(x) = (x+3)(x-2)^2</h2>

Step-by-step explanation:

Looking at the brackets you can see where the curve will intersect the x-axis.

The graph shows the curve intersecting at (0,-3) and (0,2).

This means:

x = -3

AND

x = 2

Rearrange the equations, equating them to 0.

x + 3 = 0

x - 2 = 0

This will be the values in the brackets.

Because the curve only touches 0,2 and DOES NOT cross it, we know that x - 2 is a repeated root, hence (x-2) is squared.

Therefore your brackets are: (x+3)(x-2)(x-2)

Which can be simplified:

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

Where ^2 means squared.

7 0
3 years ago
The article on the next page from the San Francisco Chronicle, January 27, 1996, describes very serious problems of subsidence,
Mekhanik [1.2K]

Answer:

246.3%

the complete question is found in the attached document

Step-by-step explanation:

1st step:

using 1936 data,

w1= 356% = 3.56(356/100) , H= 79 feet

specific gravity = 2.65

Sₓ= 100%= 1

initial void ratio(e₀)= (w1 x specific gravity)/Sₓ

=3.56 x 2.65/1 = 9.434

2nd step

using 1996 data

ΔH= 22ft

ΔH/H = Δe/(1 + e₀)

22/79 = Δe/(1+9.434)

0.278=Δe/10.434

Δe= 0.278 x 10.434

Δe= 2.905

Δe= e₀ - eₓ

eₓ= e₀-Δe

eₓ= 9.434 - 2.905

eₓ= 6.529

3rd step

calculating water content in 1996

eₓ =6.529, specific gravity= 2.65, Sₓ= 100%

W2 X 2.65 = 1 x 6.529

w2 = 6.529/2.65 = 2.463 = 246.3%

6 0
3 years ago
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