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Katarina [22]
2 years ago
12

Complete the square to re-write the quadratic function in vertex form: y=x2-x+3

Mathematics
1 answer:
Anna [14]2 years ago
5 0

Answer:

Step-by-step explanation:

hello :

note : the vertex form is :

ax²+bx+c = a(x+(b)/(2a))²-  delta/4a²   and   delta = b²- 4ac

in this exercice you have : a =1    b = -1   and  c= 3

continu ..........

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Help plsss!! I’d rlly appreciate it :]
Lena [83]

The volume of the Apple iPad Mini 2 is 12.561 in³.

The new volume of the  Pear-Apple is  24.53 in³.

The new volume of the  Pear-Apple is 5.3in³.

The scale factor to have a volume that is half that of the iPad Mini is 0.79.

The scale factor to have a volume that is double that of the iPad Mini is 1.26

<h3 /><h3>What is the volume of the Apple iPad Mini 2?</h3>

Volume = length x width x height

7.9 x 5.30 x 0.30 = 12.561 in³

<h3>What is the volume after the scale factors are applied?</h3>

Dimensions after the 1.25 scale factor is applied: (1.25 x 7.9) x (1.25 x 5.30) x (1.25 x 0.3)

= 9.875 x 6.625 x0.375 = 24.53 in³

Dimensions after the 0.75 scale factor is applied: (0.75 x 7.9) x (0.75 x 5.30) x (0.75 x 0.3)

= 5.925 x 3.975 x 0.225 = 5.3in³

Scale factor to have a volume that is double that of the iPad Mini : 2^{1/3} = 1.26

Scale factor to have a volume that is half that of the iPad Mini : 0.5^{1/3} = 0.79

To learn more about scale drawings, please check: brainly.com/question/26388230

#SPJ1

4 0
2 years ago
Hi. I need some help on 15 and 16! Thank you!
Alenkinab [10]

Answer:

MN = 34, x = 7

Step-by-step explanation:

look at the file, cut off numbers are:

37

37

36

7 0
3 years ago
what are the minimum first quartile median third quartile and the maximum of the data set? 9,20,4,18,4,18,20,9
den301095 [7]
<u>Answers</u>
1. Minimum = 4
2. First quartile = 6.5
3. Median = 13.5
4. Third quartile = 19
5. Maximum = 20

<u>Explanation</u>
To calculate the measure of central tendency, you first arrange the set of the data in ascending order.  
The set of data given will be;
4, 4, 9, 9, 18, 18, 20, 20.

Part 1:
The minimum value of the data is 4.

Part 2:
The first quatile is the median of the lower half which is comprised by:
4, 4, 9, 9

1st quartile = (4+9)÷2
                  = 13÷2
                  = 6.5

Part 3:
Median of the data is;

Median = (9+18)÷2
              =27÷2
            = 13.5

Part 4:
3rd quartile is the median of the upper half which comprises of; 
18, 18, 20, 20.

3rd quartile = (18+20)÷2
                  = 48÷2
                   = 19

Part 5
The maximum of the set of data is 20.
7 0
3 years ago
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!
mrs_skeptik [129]

Answer:

See below.

Step-by-step explanation:

Just make a line that doesn't have a pattern like 2, 4, 6, 8 or like 6, 12, 18, 24.

99.9% sure just spamming the keyboard with random numbers will work.

5 0
2 years ago
Triangle ABC has been rotated 90° to create triangle DEF. Write the equation, in slope-intercept form, of the side of triangle A
Ket [755]

the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1

<h3>How to determine the equation</h3>

From the figure given, we can deduce the coordinates of the sides

For A

A ( 4,2)

For B

B ( 4, 5)

C ( 1, 2)

D ( 2, -4 )

E  ( 5, -4)

F ( 2, -1)

The slope for BC

Slope = \frac{y2 - y1}{x2 - x1}

Substitute the values for both B and C coordinates, we have

Slope = \frac{2- 5}{1 - 4}

Find the difference for both the numerator and denominator

Slope = \frac{-3}{-3}

Slope = 1

We have the rotation for both point ( 0, 1)

y - y1 = m ( x - x1)

The values for y1 and x1 are 1 and 0 respectively and the slope m is 1

Substitute the values

y - 1 = 1 ( x - 0)

y - 1 = x

Make 'y' the subject of formula

y = x + 1

Thus, the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1

Learn more about linear graphs here:

brainly.com/question/4074386

#SPJ1

4 0
2 years ago
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