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kati45 [8]
3 years ago
15

Write the following quadratic expression in vertex form x^2+4x+10

Mathematics
1 answer:
AysviL [449]3 years ago
7 0

9514 1404 393

Answer:

  (x +2)^2 +6

Step-by-step explanation:

We can add and subtract the square of half the x-coefficient.

  x^2 +4x +10 = (x^2 +4x +2^2) +10 -2^2

  = (x +2)^2 +6

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Explain how the expression 8.3√2+7.9√2 can be simplified using the distributive property.
IceJOKER [234]

Answer:

\sqrt{2}(16.2)

Step-by-step explanation:

The distributive property says that the answer of multiplying two numbers is the same as multiplying the first number by the sum or subtraction of two numbers that result in the second number.

What we have to do is to simpligy the ecuation, this mean, making it shorter.

First we take out the common term of the ecuation: \sqrt{2}.

By distributive property 8.3\sqrt{2} +7.9\sqrt{2} =\sqrt{2}(8.3+7.9)

then \sqrt{2} (16.2).

3 0
3 years ago
a sociologist develops a test to measure attitudes towards public transportation and 27 randomly selected subjects are given the
horsena [70]

Answer:

The 95% confidence interval for the mean score is:

\mu ∈ (67.73,\ \ 84.67)

Step-by-step explanation:

We want to estimate the population mean, that is, the average score of all the subjects.

An estimator for the population mean μ is {\displaystyle {\overline {x}}}

Since the sample size is 27 then we use the  statistic  t_{\frac{\alpha}{2}}  with 27-1 = 26 degrees of freedom

The confidence interval for the mean is:

({\displaystyle {\overline {x}}} + t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}},\ \ {\displaystyle {\overline {x}}} - t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}})

Where

{\displaystyle {\overline {x}}}=76.2 is the average score of the sample

S=21.4 is the standard deviation of the sample

n= 27 is the sample size

t_{\frac{\alpha}{2}} = 2.056 for a confidence level of 95% and 26 degrees of freedom

Then confidence interval is

(76.2 + 2.056\frac{21.4}{\sqrt{27}},\ \ {76.2 - 2.056\frac{21.4}{\sqrt{27}})

(76.2 + 8.467,\ \ 76.2 - 8.467)

\mu ∈ (67.73,\ \ 84.67)

7 0
3 years ago
the mass of a sphere made of gold is proportional to the diameter, d, cubed. express the mass m of the sphere as a function of t
elixir [45]

Answer:

m         =   cd³

Step-by-step explanation:

mass of        is proportional to          the diam

sphere                                                 cubed

Symbolically, this can be written as:

  m         =   cd³

4 0
3 years ago
What’s the Final answer
Gelneren [198K]

Answer:

7) 25

8) 23

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
What is the median of the following data set?
pashok25 [27]

Answer:

The median of the following set of data is 9 since the question is implying, which is the center of the data distribution.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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