All categories

1 year ago

Can I find a tutor to help me bro ?

Mathematics

1 answer:

nignag [31]1 year ago

3 0

Solution

Given the quadratic equation:

x² + 2x + 7 = 21

x² + 2x + 7 - 21 = 0

x² + 2x - 14 = 0

a = 1, b = 2, c = - 14

(1) The number of solutions of a given quadratic equation is determine by the discriminant.

From the given values;

(2)² - 4(1 x -14) = 4 + 56 = 60

60 > 0 ( 2 solutions)

1 positive solution and 1 negative solution

Thus, number of positive solutions to this equation is one

(2) The greatest solution or positive solution to the equation is calculated as;

You might be interested in

What Numbers Go Into The Venn Diagram

antiseptic1488 [7]

Answer:

(a)The total number of outcomes where the sum is 9 or

greater than 9 is 10

(b)Total number of outcomes where the sum is odd = 18

(c)Total number of outcomes where the sum greater or equal to 9 and is

also odd = 6

Step-by-step explanation:

Here, Sample Space = { Sum of the two digits when two dices are thrown together}

or, S = {2,3,4,5,6,7,8,9,10,11,12}

(a) The number of ordered pairs where sum is 9 or greater than 9

= { sum is 9 , Sum is 10 , Sum is 11, Sum is 12}

= {(6,3)(3,6),(4,5)(5,4) , (5,5), (6,4),(4,6) , (6,5)(5,6), (6,6)}

Hence the total number of outcomes where the sum is 9 or

greater than 9 is 10

(b) The number of ordered pairs where sum is odd.

= { Sum is 3 , Sum is 5, Sum is 7, Sum is 9, Sum is 11}

= {(1,2)(2,1), (4,1)(1,4),(2,3)(3,2) , (6,1), (1,6),(5,2),(2,5),(4,3)(3,4) ,

(6,3)(3,6), (4,5)(5,4), (6,5),(5,6)} = 18

Hence total number of outcomes where the sum is odd = 18

Here, the possible outcomes are = { Sum is 9 , Sum is 11}

={ (6,3)(3,6), (4,5)(5,4), (6,5),(5,6)} = 6

Hence total number of outcomes where the sum greater or equal to 9 and is also odd = 6

6 0

3 years ago

Factor the following polynomial.<br> 98x3 – 18x

grigory [225]

Answer:

2x(7x - 3)(7x +3)

Step-by-step explanation:

Find common factors between the 2 numbers:

98x^3 - 18x

2x(49x^2 - 9)

now find what numbers multiplied together is 49, and find what numbers added together equals 0 and the product is 3, 7 times 7 is 49 and 3(-3) = 9 while 3 - 3 = 0 so:

2x(7x - 3)(7x +3)

3 0

3 years ago

Read 2 more answers

7a-4=3(a+9)+4a plz help

sweet [91]

7a-4=3a+27+4a
7a-4=7a+27

you sure you type the right question?

7 0

3 years ago

Jamal wants to find the sum of 6/10 and 17/100. He says the sum is twenty-three hundreths. What was his mistake?

Veseljchak [2.6K]

His mistake is he didn't make 6/10 to 60/100 he added them without changing the 6/10

5 0

3 years ago

Em 1 Graph the system of equations. { x−y=6 ,4x+y=4

muminat

Graphing the system of equations is shown in figure attached.

Solution set is (2,-4). The lines will intersect at (2,-4)

Step-by-step explanation:

We need to graph the system of equations. $x-y=6 ,4x+y=4$

First we will find value of x and y

Let:

$x-y=6\,\,eq(1)\\4x+y=4\,\,eq(2)$

Add eq(1) and eq(2)

$x-y=6\,\,\\4x+y=4\,\,\\------\\5x=10\\x=10/5\\x=2$

Putting value of x in eq(1) and finding y

$x-y=6\\2-y=6\\-y=6-2\\-y=4\\y=-4$

So, y=-4

Graphing the system of equations is shown in figure attached.

Solution set is (2,-4). The lines will intersect at (2,-4)

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

8 0

3 years ago