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3 years ago

Complete the square to rewrite y = x2 - 6x + 3 in vertex form. Then state

Mathematics

1 answer:

Vladimir [108]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

y = x² - 6x + 3

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 3

= (x - 3)² - 6 ← in vertex form

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

Here a = 1 > 0, thus

(3, - 6 ) is a minimum

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Ello awnser this what is 1 area x 649= ??? write in te awnser box

soldier1979 [14.2K]

Answer:

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2 years ago

Bob can paint a fence in 12 hours, and working with Jen can paint a fence in 4 hours. How long would it have taken Jen to paint

butalik [34]

Answer:

6 hours

Step-by-step explanation:

For Bob

12 hours = 1 fence

1 hour = 1/12 fence

Together Bob and Jen

4 hours = 1 fence

1 hour = 1/4 fence

Now, for Jen:

1 hour = 1/4 - 1/12= 3/12 - 1/12 = 2/12=1/6

Find the amount of time Jen will need:

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8 0

2 years ago

Find the value of x and y so that both proportions will be correct:

andrew11 [14]

The values of x and y are 0.2 and 0.4 respectively.

Explanation

The given proportions are.....

$x: 1\frac{2}{3}=y: 3\frac{1}{3}$ and $y:1.5=0.2:0.75$

From the second proportion, we will get....

$y:1.5=0.2:0.75\\ \\ \frac{y}{1.5}=\frac{0.2}{0.75} \\ \\ 0.75y=0.2*1.5\\ \\ 0.75y=0.3\\ \\ y=\frac{0.3}{0.75}=0.4$

Now, we will plug this $y=0.4$ into the first proportion. So we will get....

$x: 1\frac{2}{3}=y: 3\frac{1}{3}\\ \\ x: \frac{5}{3}=0.4:\frac{10}{3} \\ \\ \frac{x}{\frac{5}{3}}= \frac{0.4}{\frac{10}{3}}\\ \\ \frac{3x}{5}=\frac{1.2}{10}\\ \\ 30x=6\\ \\ x= \frac{6}{30}=0.2$

So, the values of x and y are 0.2 and 0.4 respectively.

6 0

3 years ago

The mean amount spent by a family of four on food is $500 per month with a standard deviation of $75. Assuming that the food cos

Alexeev081 [22]

Answer:

$z=\frac{x- \mu}{\sigma}$

And replacing we got:

$z=\frac{425-500}{75}= -1$

And we can calculate this probabilit using the normal standard distribution or excel and we got:

$P(z$

Step-by-step explanation:

If we define the random variable of interest "the amount spent by a family of four of food per month" and we know the following parameter:

$\mu = 500, \sigma = 75$

And we want to find the following probability:

$P(X$

And we can use the z score formula given by:

$z=\frac{x- \mu}{\sigma}$

And replacing we got:

$z=\frac{425-500}{75}= -1$

And we can calculate this probabilit using the normal standard distribution or excel and we got:

$P(z$

5 0

2 years ago

Look at the pic and help if you can thxxxx

givi [52]

Answer:

The 1,3,and 4.

Step-by-step explanation:

6 0

3 years ago