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Ugo [173]
2 years ago
10

If a+b=10 and ab=24, find the values of a and b.​

Mathematics
1 answer:
Vlad [161]2 years ago
5 0
The values of a and b are 4 & 6
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Which is the graph of a quadratic equation that has a negative discriminant?
Natasha2012 [34]

Answer:

D

Step-by-step explanation:

A negative discriminant indicates that the quadratic equation has no real roots.

Thus the graph does not touch or intersect the x- axis

The only graph that does not touch or intersect the x- axis is the fourth one

5 0
2 years ago
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Solve the following 3 × 3 system. Enter the coordinates of the solution below.
love history [14]
The system is:

i)    <span>2x – 3y – 2z = 4
ii)    </span><span>x + 3y + 2z = –7
</span>iii)   <span>–4x – 4y – 2z = 10 

the last equation can be simplified, by dividing by -2, 

thus we have:

</span>i)    2x – 3y – 2z = 4
ii)    x + 3y + 2z = –7
iii)   2x +2y +z = -5 


The procedure to solve the system is as follows:

first use any pairs of 2 equations (for example i and ii, i and iii) and equalize them by using one of the variables:

i)    2x – 3y – 2z = 4   
iii)   2x +2y +z = -5 

2x can be written as 3y+2z+4 from the first equation, and -2y-z-5 from the third equation.

Equalize:  

3y+2z+4=-2y-z-5, group common terms:
5y+3z=-9   

similarly, using i and ii, eliminate x:

i)    2x – 3y – 2z = 4
ii)    x + 3y + 2z = –7

multiply the second equation by 2:


i)    2x – 3y – 2z = 4
ii)    2x + 6y + 4z = –14

thus 2x=3y+2z+4 from i and 2x=-6y-4z-14 from ii:

3y+2z+4=-6y-4z-14
9y+6z=-18

So we get 2 equations with variables y and z:

a)   5y+3z=-9 
b)   9y+6z=-18

now the aim of the method is clear: We eliminate one of the variables, creating a system of 2 linear equations with 2 variables, which we can solve by any of the standard methods.

Let's use elimination method, multiply the equation a by -2:

a)   -10y-6z=18 
b)   9y+6z=-18
------------------------    add the equations:

-10y+9y-6z+6z=18-18
-y=0
y=0,

thus :
9y+6z=-18 
0+6z=-18
z=-3

Finally to find x, use any of the equations i, ii or iii:

<span>2x – 3y – 2z = 4 
</span>
<span>2x – 3*0 – 2(-3) = 4

2x+6=4

2x=-2

x=-1

Solution: (x, y, z) = (-1, 0, -3 ) 


Remark: it is always a good attitude to check the answer, because often calculations mistakes can be made:

check by substituting x=-1, y=0, z=-3 in each of the 3 equations and see that for these numbers the equalities hold.</span>
3 0
2 years ago
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ALGEBRA 2 HELP PLEASE!
Tanya [424]
Pls. see attachment. I created that table for easy monitoring and understanding. 

Yellow cells are sums that are even.
Orange cell are sums that are multiples of 3.
Yellow cells w/ orange texts are sums that are both even and multiples of 3.

4 0
3 years ago
The Gross Domestic of a country in the first quarter of 2014 was $1.3299×10×8.<br> GPD=$
krek1111 [17]

The GDP of the country for 2014 is $5.3196 × 10⁸.

<h3>What is multiplication?</h3>

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given the Gross Domestic of a country in the first quarter of 2014 was $1.3299×10⁸. Therefore, the GDP of the country for that year will be,

GDP = 4 × (Gross Domestic for a single quarter)

         = 4 × ($1.3299×10⁸)

         = $5.3196 × 10⁸

Hence, the GDP of the country for 2014 is $5.3196 × 10⁸.

Learn more about Multiplication:

brainly.com/question/14059007

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1 year ago
A group of 7 friends each received 5/6 of a pound of candy. How much candy did they receive total?
Vedmedyk [2.9K]

Answer:

A group of seven friends each received one-half of a pound ofcandy. How much candy did they receive total?✓

0.5 pounds x 7= 3.5 poundsStep-by-step explanation:

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1 year ago
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