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Vera_Pavlovna [14]
3 years ago
13

What is the discriminant of the quadratic equation 0 = 2x2 + 3x – 5?

Mathematics
2 answers:
Solnce55 [7]3 years ago
8 0
ANSWER

The discriminant is

D. 49

EXPLANATION

The given equation is

0 = 2 {x}^{2}  + 3x - 5
We can rewrite this as,


2 {x}^{2}  + 3x - 5 = 0

When we compare this to the general quadratic equation, we obtain;


a=2,b=3,c=-5

The discriminant is given by,

D =  {b}^{2}-4ac

We substitute the values to obtain,


D =  {3}^{2}-4(2)( - 5)

D =  9 + 40

We simplify to get,

D = 49

Hence the correct answer is D.
Goshia [24]3 years ago
4 0
49 would be the answer!
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Answer:

X | Y

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2 years ago
A store is having a sale. You can buy 14 cards for $6. What is the cost of 35 cards during this sale?
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Answer:

15$

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3 years ago
Show that x = -2 is a solution of 3x² + 13x + 14 = 0​
Oliga [24]

Answer:

x= -2 is correct answer

Step-by-step explanation:

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3 0
3 years ago
Given that the expression x³_ ax² + bx+c leaves the same remainder when divided by x + 1 or x-2, find 'a' in terms of 'b'.​
goblinko [34]

Answer:

Hi,

a=b+3

Step-by-step explanation:

\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&c-a-b-1\\\end{array}

\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=2&&2&4-2a&2b+8-4a\\---&---&---&---&---\\&1&2-a&b+4-2a&c+2b+8-4a\\\end{array}

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<u>a=b+3</u>

5 0
2 years ago
Casey can buy 3 sandwiches and 5 cups of coffee for $26. Eric can buy 4
ioda

Answer:

Step-by-step explanation:

Let's identify what we are looking for in terms of variables.  Sandwiches are s and coffee is c.  Casey buys 3 sandwiches, which is represented then by 3s, and 5 cups of coffee, which is represented by 5c.   Those all put together on one bill comes to 26.  So Casey's equation for his purchases is 3s + 5c = 26.  Eric buys 4 sandwiches, 4s, and 2 cups of coffee, 2c, and his total purchase was 23.  Eric's equation for his purchases then is 4s + 2c = 23.  In order to solve for c, the cost of a cup of coffee, we need to multiply both of those bolded equations by some factor to eliminate the s's.  The coefficients on the s terms are 4 and 3.  4 and 3 both go into 12 evenly, so we will multiply the first bolded equation by 4 and the second one by -3 so the s terms cancel out.  4[3s + 5c = 26] means that 12s + 20c = 104.  Multiplying the second  bolded equation   by -3:  -3[4s + 2c = 23] means that -12s - 6c = -69.  The s terms cancel because 12s - 12s = 0s.  We are left with a system of equations that just contain one unknown now, which is c, what we are looking to solve for.  20c = 104 and -6c = -69.  Adding those together by the method of elimination (which is what we've been doing all this time), 14c = 35.  That means that c = 2.5 and a cup of coffee is $2.50.  There you go!

3 0
2 years ago
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