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4 years ago

7

What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?

1 answer:

Elis [28]4 years ago

6 0

The formula to find the discriminant equals D = b^2-4ac.
(Quadratic equations have the formula ax^2+bx+c. A = -1, B = +4, C = -2.)

D = 4^2-4(-1)(-2). 8-8 = 0.

0 = 1 solution
-D = 0 solutions
+D = 2 solutions

The discriminant equals 0, also establishing that if you were asked to find the solutions, there would only be one.

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9 degrees Celsius or Fahrenheit? and what’s the question?

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3 years ago

A department store surveyed 428 shoppers, and the following information was obtained: 216 shoppers made a purchase, and 294 were

Maurinko [17]

Answer:

(a) 169

(b) 341

(c) 125

(d) 87

Step-by-step explanation:

Consider the Venn diagram below.

The total number of shoppers surveyed is, <em>N</em> = 428.

Number of shoppers who made a purchase, <em>n</em> (P) = 216

Number of shoppers who were satisfied with the service they received,

<em>n</em> (S) = 294

Number of shoppers who made a purchase but were not satisfied with the service, $n(S^{c}\cap P)$ = 47

(a)

The number of shoppers who made a purchase and were satisfied with the service = <em>n</em> (S ∩ P)

$n(S\cap P)=n(P)-n(S^{c}\cap P)\\=216-47\\=169$

(b)

The numbers of shoppers who made a purchase or were satisfied with the service = <em>n</em> (P ∪ S)

$n(P\cup S)=n(P)+n(S)-n(P\cap S)\\=n(P)+n(S)-n(S\cap P)\\=216+294-169\\=341$

(c)

The numbers of shoppers who were satisfied with the service but did not make a purchase = $n(S\cap P^{c})$

$n (S\cap P^{c} ) = n (S) - n (S \cap P)\\=294-169\\=125$

(d)

The number of shoppers who were not satisfied and did not make a purchase = $n(S^{c}\cap P^{c})$

$n(S^{c}\cap P^{c})=N-n(S\cup P)\\=N-n(P\cup S)\\=428-341\\=87$

6 0

3 years ago

If y varies inversely as x^2 and y=6 when x=30 what is y when x is 6

LenaWriter [7]

Answer:6/25

Step-by-step explanation:

Y varies inversely as x²

Y =k/x²

Y= 6, x = 30

Substitute the value of y and x

6 = k/30²

Make k the subject of the formula

k = 6/900

k =1/150

The equation connecting Y and x is

Y = x²/150

When x = 6

Y= 6²/150

Y= 36/150

Y= 6/25

3 0

3 years ago

Read 2 more answers

Use substitution to solve the linear system of equations.

goblinko [34]

Answer:

(4, - 2 )

Step-by-step explanation:

Given the 2 equations

x = 4 → (1)

- y = $\frac{1}{2}$ x → (2)

Substitute x = 4 into (2)

- y = $\frac{1}{2}$ × 4 = 2 ( multiply both sides by - 1 )

y = - 2

Solution = (4, - 2 )

6 0

3 years ago

The library is 1.75 directly north to school the park is 0.6 miles directly south of the school how far is it library from the p

Harrizon [31]

Add 1.75 and 0.6
answer=2.35

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4 years ago