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3 years ago

Determine the value of b so that the equation has no solution.

Mathematics

1 answer:

pav-90 [236]3 years ago

8 0

Answer:

c. b < 0

Step-by-step explanation:

l (x - 3)^2 - 4 l = l x^2 -6x + 9 - 4l

l x^2 - 6x + 5 l = b

If b < 0, the equation cannot be factored, there will not be real solution.

Therefore, answer is c. b< 0

Hope this will helpful.

Thank you.

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What's a simplified form of x-1+4+7x-3

Dovator [93]

Ok so right now leave the x's alone. Now add/subtract the numbers without variables which would equal to 0 since -1+4 = 3 and 3-3 =0

now 7x+x =8x so 8x is answer

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3 years ago

Factorise 24e^2-28e-12

Helga [31]

Answer:

4(2e - 3)(3e + 1)

Step-by-step explanation:

Given

24e² - 28e - 12 ← factor out 4 from each term

= 4(6e² - 7e - 3) ← factor the quadratic

Consider the factors of the product of the e² term and the constant term which sum to give the coefficient of the e- term.

product = 6 × - 3 = - 18 and sum = - 7

The factors are - 9 and + 2

Use these factors to split the e- term

6e² - 9e + 2e - 3 ( factor the first/second and third/fourth terms )

= 3e(2e - 3) + 1 (2e - 3) ← factor out (2e - 3) from each term

= (2e - 3)(3e + 1)

Then

24e² - 28e - 12 = 4(2e - 3)(3e + 1) ← in factored form

8 0

3 years ago

Given the two functions, which statement is true?

tia_tia [17]

Answer:

Option D

Step-by-step explanation:

f(x) = $\text{log}_{15}x$

Transformed form of the function 'f' is 'g'.

g(x) = $\frac{1}{2}\text{log}_{15}(x+4)$

Property of vertical stretch or compression of a function,

k(x) = x

Transformed function → m(x) = kx

Here, k = scale factor

1). If k > 1, function is vertically stretched.

2). If 0 < k < 1, function is vertically compressed.

From the given functions, k = $\frac{1}{2}$

Since, k is between 0 and $\frac{1}{2}$ , function f(x) is vertically compressed by a scale factor $\frac{1}{2}$ .

g(x) = f(x + 4) represents a shift of function 'f' by 4 units left.

g(x) = f(x - 4) represents a shift of function 'f' by 4 units right.

g(x) = $\frac{1}{2}\text{log}_{15}(x+4)$

Therefore, function f(x) has been shifted by 4 units left to form image function g(x).

Option D is the answer.

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3 years ago

At Jefferson Middle School, eighty-two students were asked which sports they plan to participate in for the coming year. Twenty

Ad libitum [116K]

I believe the answer is 4.

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