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3 years ago

What equation results from completing the square and then factoring?

Mathematics

1 answer:

Vinil7 [7]3 years ago

6 0

Answer:

$\large\boxed{D.\ (x-4)^2=55}$

Step-by-step explanation:

$(a-b)^2=a^2-2ab+b^2\qquad(*)\\\\\\x^2-8x=39\\\\x^2-2(x)(4)=39\qquad\text{add}\ 4^2=16\ \text{to both sides}\\\\\underbrace{x^2-2(x)(4)+4^2}_{(*)}=39+16\\\\(x-4)^2=55$

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What 18% more than 200

djyliett [7]

Answer: 236

Explanation:

100% = 200
118% = x

-> x = (118 * 200) / 100

-> x = 236

3 0

3 years ago

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Mr. Altamirano opens an account with a simple interest on an account with $1000 at 3% annually for 9 months. How much interest d

Aleksandr [31]

Answer:

$270

Step-by-step explanation:

Multiply 1000 by .03 or 3%. Then mulrioly that number by 9 because it is that amoint of interest for nine months.

3 0

3 years ago

The value of y varies inversely as the cube of x and y=1 when x=6. Find the value of y when x =2.

ch4aika [34]

Answer:

y=27 when x=2

Step-by-step explanation:

y varies inversely as the cube of x

y=k(1/X^3)

y=1 when x=6

y=k(1/X^3)

1=k(1/6^3)

1=k(1/216)

k=1÷1/216

K=1×216/1

k=216

find y when x=2

y=k(1/X^3)

y=216(1/2^3)

y=216(1/8)

y=216/8

y=27

3 0

3 years ago

An analyst from an energy research institute in California wishes to precisely estimate a 99% confidence interval of the average

Lena [83]

Answer:

190

Step-by-step explanation:

Data provided in the question:

Confidence level = 99%

Therefore,

α = 1% = 0.01

[ from standard normal table ]

z-value for $z_{\frac{\alpha}{2}}= z_{\frac{0.01}{2}}=$ = 2.58

Margin of error, E = $0.06

Standard deviation, σ = $0.32

Now,

n = $(\frac{z_{0.005}\sigma}{E})^2$

Here,

n is the sample size (or the minimum number of gas stations )

on substituting the respective values, we get

= $(\frac{z_{0.005}\sigma}{E})^2$

= $(\frac{2.58\times0.32}{0.06})^2$

= 13.76²

= 189.3376 ≈ 190

Hence,

minimum number of gas stations that she should include in her sample is 190

5 0

3 years ago

Plz answer most point

damaskus [11]

its D or the 4th answer

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3 years ago

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