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drek231 [11]
3 years ago
14

Write the quadratic equation in standard form: y=ax^2+bc+c that has the given solutions:

Mathematics
2 answers:
Snezhnost [94]3 years ago
7 0

Answer:

x=-b±√b²-4ac

--------------

2a

weqwewe [10]3 years ago
4 0

<u>Answer</u>:

x² -3x + 1.5

<u>Explanation</u>:

Here using the formula: \left[\begin{array}{ccc}x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \end{array}\right]

we can determine a

2a = 2

a = 1

we can determine b

-b = 3

b = -3

we can determine that b = -3

<em>then using a = 1 , b = -3</em>

find c:

(-3)²-4*1*c = 3

9-4c = 3

-4c = -6

c = 3/2

so the quadratic formula is x² -3x + 1.5

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The median of a data set 8, 21, 17, and 13 is 15. If 17 is changed to 18, what will be the new median? a. 15.5 c. 50 b. 17.5 d.
lubasha [3.4K]

Answer:

Option A) 15.5 is correct

The new median for the new data set is 15.5

Step-by-step explanation:

Given data set is 8,21,17,13

To find the median :

First order the given set of data into least to greatest

The ordered set is 8,13,17,21

Since the given set of data is even

We can take midvalues of data in the set

Median is the mean of two middle values in the data set

Median=\frac{13+17}{2}

=\frac{30}{2}

=15

Therefore Median=15 ( given )

Given that if 17 is changed to 18 then the given set of data  8,21,17,13 is changed into new set  8,21,18,13

To find the median :

First order the new set of data into least to greatest

The ordered set is 8,13,18,21

Since the given set of data is even

We can take two midvalues of new data in the set

Median is the mean of two middle values in the data set

Median=\frac{13+18}{2}

=\frac{31}{2}

=15.5

Therefore New Median=15.5

Therefore option A) 15.5 is correct

The new median for the new data set is 15.5

5 0
3 years ago
Should you flip the inequality sign in this problem?<br> -9x + 27 = -13<br> Yes no
Angelina_Jolie [31]

Answer:

Step-by-step explanation:no you should not

-9x+27=-13

-9x-27=13

-9x=18

-2=x

3 0
3 years ago
Read 2 more answers
Help in math plzzddddddddddddddddd
melomori [17]

Answer:

first one: 3 1/3 = 7/3 second: 2 3/4 = 11/4

third one: 3 1/3 + 2 3/4 = 10/3 + 11/4 = 40/12 + 44/12

there fore the answer is: 84/12 or 7

this may help you the first one question only.

3 0
3 years ago
Concider the functions: f(x)= (2/3)x and g(x)=(2/3)x-3+2. Which statement is true regarding the vertical and horizontal translat
ioda

The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.

<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>

For a given function f(x), we can write a vertical translation of n units as:

g(x) = f(x) + n

  • If n < 0, the translation is downwards.
  • if n > 0, the translation is upwards.

And a horizontal translation of n units as:

g(x) = f(x + n).

  • if n > 0, the translation is to the left.
  • if n < 0, the translation is to the right.

Here we have:

f(x) = (2/3)*x

g(x) = (2/3)*(x - 3) + 2

By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.

So the correct option is B.

If you want to learn more about translations:

brainly.com/question/24850937

#SPJ1

4 0
2 years ago
A vehicle uses 1 1/8 gallons of gasoline to travel 13 1/2 miles. At this rate, how many miles can the vehicle travel per gallon
Vesna [10]
We know that
<span>1 1/8 gallons----------> (1*8+1)/8-------> 9/8 gallons
</span><span>13 1/2  miles----------> (13*2+1)/2-------> 27/2 miles

if 9/8 gallons-------------------> 27/2 miles
 1 gallons----------------------> X
X=(27/2)/(9/8)---------> 216/18--------> 12 miles

the answer is 12 miles</span>
6 0
3 years ago
Read 2 more answers
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