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3 years ago

State the value of the discriminant for the equation, 3x^2 + 7x + 3 = 0

Mathematics

1 answer:

Irina-Kira [14]3 years ago

7 0

Answer: 13

Step-by-step explanation:

If you remember the quadratic equation formula;

$x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}$

You can easily extract what is under the root to find the discriminant.

$b^2-4ac=?\\$

a = 3

b = 7

c = 3

$(7)^2-4(3)(3)\\49-36=13$

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Suppose that the functions s and t are defined for all real numbers x as follows.

jeka94

Answer:

$(s.t)(x) = 4x^2+24x^2\\(s-t)(x) = x+6-4x^2\\(s+t)(-3) = 39$

Step-by-step explanation:

Given functions are:

$s(x)= x+6\\t(x)= 4x^2$

We have to find:

(s.t)(x) => this means we have to multiply the two functions to get the result.

So,

$(s.t)(x) = s(x)*t(x)\\= (x+6)(4x^2)\\=4x^2.x+4x^2.6\\=4x^3+24x^2$

Also we have to find

(s-t)(x) => we have to subtract function t from function s

$(s-t)(x) = s(x) - t(x)\\= (x+6) - (4x^2)\\=x+6-4x^2$

Also we have to find,

(s+t)(-3) => first we have to find sum of both functions and then put -3 in place of x

$(s+t)(x) = s(x)+t(x)\\= x+6+4x^2$

Putting x = -3

$= -3+6+4(-3)^2\\=-3+6+4(9)\\=3+36\\=39$

Hence,

$(s.t)(x) = 4x^2+24x^2\\(s-t)(x) = x+6-4x^2\\(s+t)(-3) = 39$

8 0

2 years ago

Simplify: 6x-7-11x+x show all work if possible

Lady_Fox [76]

Just matter of combining like terms
6x - 7 - 11x + x =
(6x + x - 11x) - 7 =
(7x - 11x) - 7 =
- 4x - 7 <===

3 0

3 years ago

You can run 3 3/5 miles in 40 minutes. What is your unit rate?

fiasKO [112]

Unit rate is how many units of work can you do in 1 unit of time

3 and 3/5=3+3/5=15/5+3/5=18/5

(18/5mi)/40mins
divide by 40
aka times 1/40
(18/5)(1/40)=18/200=9/100=0.9/10=0.09/1
0.09 miles per minute

3 0

2 years ago

Hich correctly describes how the graph of the inequality 4x − 2y > 20 is shaded?

joja [24]

Answer:

First we need to express y in this inequality:

-2y > -4x + 20

-y > -2x + 10

y < 2x - 10

The line isn't solid because the "less" sign doesn't include equal in it.

Because the sign is "less than" the shaded part is Below the line.

Merging these 2 conclusion we get the answer:

below the dashed line.

Step-by-step explanation:

6 0

2 years ago

Please I need help on this one

zhannawk [14.2K]

Answer:

270 cm

Step-by-step explanation:

LA = (6+6+6)15

LA = 18(15)

LA = 270

7 0

3 years ago