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stiks02 [169]
2 years ago
14

Find the values of a and b such that x^2-x+5=(x-a)^2+b

Mathematics
1 answer:
Romashka [77]2 years ago
5 0

Answer:

a = 0.5 or 1/2

b = 19/4 or 4.75

Step-by-step explanation:

Step 1: Isolate <em>x</em>'s

x² - x = -5

Step 2: Complete the Square

x² - x + 1/4 = -5 + 1/4

(x - 1/2)² = -19/4

Step 3: Move everything to one side

(x - 0.5)² + 4.75

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Answer:3.75 hours

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a cookie factory uses 1/6 pf a barrel pf oatmeal in each batch of cookies, the factory used 1 1/3 barrels of oatmeal yesterday.
miv72 [106K]

Answer:

5 batches

Step-by-step explanation:

1/6 oatmeal  can make 1 batch, so 5/6 makes 5 batches

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2 years ago
Complete the following statements. In general, % of the values in a data set lie at or below the median. % of the values in a da
ELEN [110]

Answer:

Complete the following statements. In general, 50% of the values in a data set lie at or below the median. 75% of the values in a data set lie at or below the third quartile (Q3). If a sample consists of 500 test scores, of them 0.5*500 = 250 would be at or below the median. If a sample consists of 500 test scores, of them 0.75*500 = 375 would be at or above the first quartile (Q1).

Step-by-step explanation:

The median separates the upper half from the lower half of a set. So 50% of the values in a data set lie at or below the median, and 50% lie at or above the median.

The first quartile(Q1) separates the lower 25% from the upper 75% of a set. So 25% of the values in a data set lie at or below the first quartile, and 75% of the values in a data set lie at or above the first quartile.

The third quartile(Q3) separates the lower 75% from the upper 25% of a set. So 75% of the values in a data set lie at or below the third quartile, and 25% of the values in a data set lie at or the third quartile.

The answer is:

Complete the following statements. In general, 50% of the values in a data set lie at or below the median. 75% of the values in a data set lie at or below the third quartile (Q3). If a sample consists of 500 test scores, of them 0.5*500 = 250 would be at or below the median. If a sample consists of 500 test scores, of them 0.75*500 = 375 would be at or above the first quartile (Q1).

5 0
2 years ago
Identify which of the twelve basic functions listed below fit the description given. 1 ,y1+e y=x,y=xy=*',y = lxl.y = y=e"y= V,y
skelet666 [1.2K]

remember that local minimuns are points in which the function was decreasing and starts increasing.

you can try two ways of doing it, graphing the functions or using derivatives.

since this are twelve functios the easier way is to graph them.

start by function y=x

in this case this function is continously increasing as x increases, which means that it does not have any local maxima or minima.

now do the same for

y=x^2

this graph has a local minima on th

5 0
10 months ago
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The table shows the number of cups of water required when cooking different amounts of rice.
Harman [31]

<u>Answer-</u>

<em>The amount of water is the dependent value.</em>

<u>Solution-</u>

Plotting the graph from the given data points, it comes out to be a straight line with positive slope. So, both the variables i.e amount of rice and amount of water are in a linear relationship. They are directly proportional to each other.

As the amount of rice increases, the water needed to cook the rice also increases. Plotting a graph taking amount of rice in abscissa and amount of water in ordinate, a straight line was obtained.

Here, amount of rice is the independent variable and amount of water is dependent variable as it depends on the amount of rice.

3 0
3 years ago
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