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Nesterboy [21]
3 years ago
12

If Discriminant > 0 :What is "m" in ( 2x^2 + 4x + 1 - 3m=0) ?​

Mathematics
1 answer:
Nataly [62]3 years ago
4 0

The given equation is in the form ax^2+bx+c = 0 with

  • a = 2
  • b = 4
  • c = 1-3m

D = discriminant

D = b^2 - 4ac

D = 4^2 - 4(2)(1-3m)

D = 16 - 8(1-3m)

D = 16 - 8 + 24m

D = 24m + 8

D > 0

24m + 8 > 0

24m > -8

m > -8/24

m > -1/3

As long as m is larger than -1/3, then the discriminant is positive. There are infinitely many solutions to pick from.

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Factorise fully the following:<br>a) x² + 2x<br>b) 2x² - 6x<br>c) 15x - 10x³<br>d) 9x² + 3x³​
Lostsunrise [7]

Answer:

a) x(x+2)

b) 2x(x-3)

c) 5x(3-2x^2)

d) 3x^2(3+x)

Step-by-step explanation:

a) x^2+2x

When factoring a binomial (a polynomial with two terms), what we will be looking for are the terms that are shared between them.

In this problem, it can be seen that both of these terms have and x. This means that we can factor it out to get

x(x+2)

b) 2x^2-6x

What are the common terms here?

It can be seen that each of these share a 2x, so our factored form would be

2x(x-3)

c) 15x-10x^3

What about this one?

The common factor of this one is 5x, so our factored form would be

5x(3-2x^2)

d) 9x^2+3x^3

The common factor of this one is 3x^2, so our factored form would be

3x^2(3+x)

6 0
4 years ago
Is the function ƒ(x) = (–7)x an exponential function? If so, identify the base. If not, why not?
Neko [114]

Answer:No it's not an exponential equation in which f(x)is not qualified to an exponential number. no number from 1 - 20 can be used and get subtracted by 2 to give a square number.

eg-

4×2-2≠ square number

Step-by-step explanation:

5 0
3 years ago
A semicircle has a radius of 8.2cm and pi=3.142 work out the area of the semicircle to 1 decimal place
Pepsi [2]
Is there a picture ?
7 0
3 years ago
Which of the following phrases are inequalities?
Wewaii [24]

Answer:

11 > (w- 4)

y < 3

5 + 9 < 5.9

So these are the phrases which are inequalities.

6 0
4 years ago
Please help me please!<br> Also, please show your work image shown below in attachment
WINSTONCH [101]

Answer:

see below

Step-by-step explanation:

some of your answers that you currently have are wrong, I'll note those mistakes below

- when factoring (ie 5x+15) only factor out things that can divide both numbers into a whole number ratio

5x+15 = 5(x+3), not (x+3)(x+5)

ie  \frac{10x^2+20x}{x+2}

we see that 10x can divide the numerator in a whole number ratio

10x^2+20x = 10x(x+2), not (x+2)(x+10)

second mistake: the first binomial expansion is incorrect.

you have the expansion formula right, but you added terms wrong, go look at it again

3. x^2+3x+2/ x^2+5x+6

(x+1)(x+2)/(x+3)(x+2)

(x+1)/(x+3)

4. (x^2+6x+8)/(x^2-16)

(x+4)(x+2)/(x+4)(x-4)

(x+2)/(x-4)

5. we can't simplify that any more, x and y are different variables so therefore we cannot cross out stuff on numerator and denominator

6. (x^4y^6)^2

(x^4y^6)(x^4y^6) = x^8y^{12}

remember that (x^a)(x^b) = x^(a+b)

or remember that (x^a)^b = x^ab

6 0
3 years ago
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