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maw [93]
3 years ago
6

Using the completing-the-square method, rewrite f(x) = x2 - 8x + 3 in vertex form.

Mathematics
1 answer:
Leto [7]3 years ago
5 0

Answer:

B

Step-by-step explanation:

Given

f(x) = x² - 8x + 3

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 8x

x² + 2(- 4)x + 16 - 16 + 3

(x - 4)² - 13 ← in vertex form → B

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Georgia ran a 5-kilometer race. How many meters did she run?
kumpel [21]

Answer:

Georgia ran 5000 meters

Step-by-step explanation:

1 kilometer = 1000 meter

4 0
3 years ago
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A truck travels 2,400 miles in 60 hours, going the same distance each hour.
expeople1 [14]
2400miles/60hours
40miles/hour
Answer is D
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If ABCDE is reflected over the x-axis and then translated 3 units left, what are the
Aloiza [94]

Answer:

(-6,1)

Step-by-step explanation:

A. Reflection

When you reflect a point (x, y) across the x-axis, the x-coordinate remains the same, but the y-coordinate gets the opposite sign.

Thus, D (-3,-1) ⟶ D' (-3, 1)

B. Translation

When you translate a point horizontally, its x-coordinate changes, but the y-coordinate. remains unchanged.

You translated the point 3 units to the left.

D'(-3, 1) ⟶ D"(-6,1)

7 0
3 years ago
What is the solution to the equation below?<br><br><br><br> 0.5n = 6
Tcecarenko [31]

It's 12 because if you divide 6 by 0.5 you should get 12, so basically use the opposite operation.

Hope that helps!

3 0
3 years ago
(Small sample confidence intervals for a population mean) suppose you are taking a sampling of 15 measurements. you find that x=
Luda [366]

Answer:

The 99% confidence interval is  71.67 < \mu < 78.33

Step-by-step explanation:

From the question we are told that

     The sample  size  is  n  =  15

      The  sample  mean is  \= x  =  75

        The  standard deviation is  s =  5

 Given that confidence is  99%  then the level of significance is mathematically represented as

              \alpha  =  100 -  99

             \alpha  =  1\%

             \alpha  =  0.01

Next we obtain the critical values of  \frac{ \alpha }{2} from the normal distribution table

   The  value is

                  Z_{\frac{ \alpha }{2} } = 2.58

Generally the margin for error is mathematically represented as

            E =  Z_{\frac{ \alpha }{2} } *  \frac{ s}{ \sqrt{n} }

=>         E =  2.58  *  \frac{ 5}{ \sqrt{15} }

=>         E =  3.3307

   The  99% confidence interval is mathematically represented as

             \= x  -E  <  \mu  <  \= x  +E

=>          75 -  3.3307 <  \mu

=>          71.67 < \mu < 78.33

3 0
3 years ago
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