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3 years ago

Y=3x²+3x+1,find the value of the discrimination

Mathematics

1 answer:

Rufina [12.5K]3 years ago

5 0

Answer:

Step-by-step explanation:

a = 3

b = 3

c = 1

Discriminate = sqrt(b^2 - 4ac)

Discriminate = sqrt(9 - 4*3*1)

Discriminate = sqrt(9 - 12)

Discriminate = sqrt(-3)

What negative value means that there are no real roots and the y intercept = 1. You should always graph this kind of question, which I am doing for you. I use Desmos which is a very handy program.

You should notice that the minimum is above the x axis. That means there are no real roots, just as the discriminate tells you.

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Does the system shown always, sometimes, or never have a solution when a > b?

AysviL [449]

Answer:

always have a solution

Step-by-step explanation:

A linear equation in standard form is given by:

Ax + By = C, where A,B, C are real numbers and A,B is not equal to zero.

Two linear equations with equations Ax + By = C and Dx + Ey = F

Therefore the first equation becomes: (A/B)x + y = C/B and the second equation becomes (D/E)x + y = F/E ]

Both equations are said have a solution if A/B ≠ D/E, they have no solution if A/B = D/E and they have infinite solutions if A/B = D/E, C/B = F/E.

Given that:

when a > b

ax + y = 8

bx + y = 5

Since a ≠ b, but a > b, the system has a solution

8 0

3 years ago

Find the sum to infinity of a geometric series having a second term of -9 and fifth term of 1/3 g

Eduardwww [97]

Answer:

S infinity= -51/4

Step-by-step explanation:

First term

ar= -9

Fifth term

ar⁴= 1/3

Solving for the value of the r and a

ar= -9

ar⁴= 1/3

Dividing each other

r³=1/3 * -1/9

r³=-1/27

r= 3√-1/27

r= -1/3

Solving for a

ar= -9

a(-1/3)= 9

a= 9*-3

a= -27

Sum of a go to infinity is given by the formula

S infinity= a/(1-r)

S infinity= -27/(1-(-1/3))

S infinity= -27/(1+1/3)

S infinity= -27 * 3/4

S infinity= -51/4

5 0

3 years ago

Find the length of the diameter of a sphere with a surface area of 1890.56 cm^2.

Grace [21]

1890.56 / 4 = 472.64 / pi = 150.4459846
square root of 150.4459846 = 12.26564245 = radius
12.26564245 x 2= 24.53128489
the answer is number 2

3 0

4 years ago

HELP IF RIGHT WILL MARK BRIANLIEST!! NO LINKS!!!!!!!

Brrunno [24]

Answer:

14 is the simplified answer, but the whole answer is 17 + -18/6

Step-by-step explanation:

Divide

−

18 by 6. h (−18) = 17 − 3 Subtract 3 from 17. h (−18)= 14

The final answer is 14.

8 0

3 years ago

Read 2 more answers

Solve the<br>right triangle

Reptile [31]

Answer:

x= 7.41 (3 s.f.)

y= 9.53 (3 s.f.)

∠B= 51°

Step-by-step explanation:

Please see the attached picture for the full solution.

5 0

3 years ago

Y=3x²+3x+1,find the value of the discrimination​

Y=3x²+3x+1,find the value of the discrimination