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Anuta_ua [19.1K]
3 years ago
15

Given the trinomial 2x2 + 4x + 4, predict the type of solutions

Mathematics
2 answers:
ss7ja [257]3 years ago
5 0

To solve this problem, we make use of the discriminant. The discriminant is a value which reveals the type of solution or roots and equation has. It has the formula:

D = b^2 – 4 a c

where the coefficients are taken from the equation ax^2 + bx + c. The conditions are:

<span>D < 0      no real roots = two roots that are complex conjugates</span>

<span>D = 0      one real zero</span>

<span>D > 0      two distinct real roots</span>

 

Given the equation 2x^2 + 4x + 4, the coefficients are therefore:

a = 2

b = 4

c = 4

Plugging these values into the formula:

D = 4^2 – 4 (2) (4)

D = -16

 

<span>Therefore the solutions or the roots are complex conjugates or imaginary. Hence there is no real root.</span>

BARSIC [14]3 years ago
5 0

Answer:

GG

Step-by-step explanation:

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Ratling [72]

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"is" in this context almost always means "equals".

"the sum" we know we will be adding.

"twice the length l" gives us a variable and a coefficient.

"twice the width w" gives us a variable and a coefficient.

The equation for this is P=2l+2w

I hope in the future you can remember these tips! :)

8 0
4 years ago
Solve for x. Show the equation you used and your work.
nasty-shy [4]
Here, You need to apply "Proportionality Theorem"
According to this theorem, the ratio of components of a leg would be equal to the ratio of corresponding components of another leg.

In mathematical form, 
AB/BD = AC/CD

Substitute their values, 
36/24 = x/18
2/3 = x/18
x = 18*3 / 2
x = 54 / 2
x = 27

In short, Your Answer would be 27

Hope this helps!
5 0
4 years ago
Robin was just hired at Groceries &amp; More as a cashier. She is paid $9 an hour. She works 30 hours a week and is going to sav
Tpy6a [65]

Answer:

5 weeks

Step-by-step explanation:

$ 9 an hr for 30 hrs.....(9 * 30) = $270

they deduct $ 27 from her weekly check

so she clears (270 - 27) = $ 243 per week

she wants to get to $ 1200...

1200 / 243 = 4.94 weeks......we are gonna have to round up to 5 weeks because 4 weeks is just a little short.

6 0
4 years ago
pls hurry what is the area if the parallelogram that has a base of 10 cm longer and a height of 7 inches taller than the paralle
Len [333]

Answer:

Area=bh

10.5 in^2 =(3/4 in) (h in)

h=10.5/(3/4)=10.5/.75=14 in

Height = 14 in.

7 0
3 years ago
Solve 2 - 12/x = 6 with a step by step process<br><br>I'll give brainliest to whoever answers best!​
jarptica [38.1K]

Answer:

x=-3

Step-by-step explanation:

2

−

1

⋅

1

2

=

6

2-1 \cdot \frac{12}{x}=6

2−1⋅x12​=6

Solve

1

Combine multiplied terms into a single fraction

2

−

1

⋅

1

2

=

6

2

+

−

1

⋅

1

2

=

6

2

Multiply the numbers

2

+

−

1

⋅

1

2

=

6

2

+

−

1

2

=

6

3

Subtract

2

2

2

from both sides of the equation

2

+

−

1

2

=

6

2

+

−

1

2

−

2

=

6

−

2

4

Simplify

Subtract the numbers

Subtract the numbers

−

1

2

=

4

5

Multiply all terms by the same value to eliminate fraction denominators

−

1

2

=

4

⋅

−

1

2

=

⋅

4

6

Simplify

Cancel multiplied terms that are in the denominator

Re-order terms so constants are on the left

−

1

2

=

⋅

4

-12=x \cdot 4

−12=x⋅4

−

1

2

=

4

-12=4x

−12=4x

−

1

2

=

4

7

Divide both sides of the equation by the same term

−

1

2

=

4

−

1

2

4

=

4

4

8

Simplify

Divide the numbers

Cancel terms that are in both the numerator and denominator

Move the variable to the left

=

−

3

Show less

Solution

=

−

3

4 0
3 years ago
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