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taurus [48]
3 years ago
9

What is the discriminant and the roots of 2x² - 10x + 8 = 0?​

Mathematics
2 answers:
Darina [25.2K]3 years ago
8 0

Answer:

D=36, x1=1, x2=4

Step-by-step explanation:

Find the D:

D = b2 - 4ac = (-10)2 - 4·2·8 = 100 - 64 = 36

Since the discriminant is greater than zero, the quadratic equation has two real roots

x1=\frac{10-\sqrt{36} }{2*2} \\x2=\frac{10+\sqrt{36} }{2*2}

Verizon [17]3 years ago
6 0

Discriminant = b^2 - 4ac

= 36

Roots:

Method: Sum and Product

Sum = -10

Product = 16

(2x^2 - 8x) - (2x + 8) = 0

2x(x - 4) - (x - 4) = 0

x = 0 or x = 4

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The Bureau of Labor Statistics1 in the US tells us that, in 2010, the unemployment rate for high school graduates with no colleg
mars1129 [50]

Answer:

p_1 -p_2 = 0.097-0.052 = 0.045

So then the difference between the two proportions is 0.045 and if we convert this into % we got

0.045*100= 4.5%

Step-by-step explanation:

For this case we can define the following notation:

p_1 represent the unemployment rate for high school graduates with no college degree

p_2 represent the unemployment rate for college graduates with a bachelor's degree

And for this case we need to find the difference in proportions of those unemployed between these two groups, we want to find:

p_1 -p_2

From the info given we have p_1 = \frac{9.7}{100}=0.097

p_2 = \frac{5.2}{100}=0.052

And the difference:

p_1 -p_2 = 0.097-0.052 = 0.045

So then the difference between the two proportions is 0.045 and if we convert this into % we got

0.045*100= 4.5%

5 0
3 years ago
3(x^2+4x)+4(y^2-2y)=32
nekit [7.7K]

Answer:

3x^2 + 12x + 4y^2 - 8y = 32

Step-by-step explanation:

3(x^2+4x)+4(y^2-2y)=32

At first we have to break the parenthesis to get the variables in normal position. To break those, we have to multiply each with the help of algebraic expression:

or, (3*x^2) + (3 × 4x) + (4 × y^2) - (4 × 2y) = 32

or, 3x^2 + 12x + 4y^2 - 8y = 32

Since the equation does not have anything to add or deduct, therefore, it is the answer.

5 0
3 years ago
3x+15=3(x+5) help please?
UkoKoshka [18]
3x+15=3(x+5)

3x+15=3x+15

3x-3x=15-15

Therefore x can be equal to any value.
3 0
2 years ago
Read 2 more answers
PLEASE HELP I DONT KNOW
azamat

Answer:

48.56 cm

Step-by-step explanation:

The rectangle: 10+10+8+8

= 36cm

The half circle: 1/2 πd

=1/2x3.14X8

= 12.56

So, the total perimeter will be- 36+12.56

=48.56

Mark me brainliest plss :)) I worked hard for the ans

5 0
3 years ago
Read 2 more answers
It's number 6?its really hard me and my friends have tried but we just don't know.
Elden [556K]
Let n be the amount of points earned in round 5

the goal of the game is to get zero when you add up the point value from all the rounds.

this means
-9 +3 + (-8)+ 2 +n =0

add up all the given numbers, then see which number(n) is required in order to get zero

any questions?
6 0
2 years ago
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