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4 years ago

What is the value of the discriminant for the quadratic equation -3=-x^2+2x? discriminant =b^2-4ac

Mathematics

2 answers:

Elena L [17]4 years ago

9 0

Answer:

Step-by-step explanation:

$-x^2+2x=-3\qquad\text{add 3 to both sides}\\\\-x^2+2x+3=0\\\\a=-1,\ b=2,\ c=3\\\\\text{Substitute to}\ D=b^2-4ac:\\\\D=2^2-4(-1)(3)=4+12=16$

Paul [167]4 years ago

6 0

Answer:

Discriminant = 16

Step-by-step explanation:

We have the following expression: -3 = -x^2 + 2x

Organizing the expression, we have: x^2 - 2x -3 = 0

We know that for an equation of the type: ax^2 + bx + c = 0, the discriminant is: b^2-4ac

From our equation we know that a=1, b=-2, and c=-3.

Then Discriminant = (-2)^2 - 4(1)(-3)

Discriminant = 4 +12 = 16

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3x+9=1x what’s the slope and intercept form

tresset_1 [31]

Answer:

this equation cannot be written in slope-intercept form

Step-by-step explanation:

The given equation is equivalent to ...

2x +9 = 0 . . . . . subtract 1x

x + 4.5 = 0 . . . . divide by 2

x = -4.5 . . . . . . . the equation of a vertical line.

It has no y-intercept and its slope is undefined.

5 0

3 years ago

Leslie has a voucher worth $5 coupon from Wal-Mart.She visits the store and purchases a wallet that amounted to double the price

jasenka [17]

Answer:

The Cost of wallet was $26.30.

Step-by-step explanation:

Given:

Total billed after redeeming voucher = $34.45

Voucher worth = $5

We need to find the cost of Wallet.

Solution:

Let the amount paid for groceries be 'x'.

Now Given:

She purchases a wallet that amounted to double the price she paid for the groceries she bought.

Cost of wallet = $2x$

Now to find the cost of wallet we will consider the amount before redeeming the voucher.

Hence Total bill before redeeming the voucher = $\$34.45+\$5=\$39.45$

Now We can say that;

Total bill is equal to sum of Cost of wallet and Cost of groceries.

framing in equation form we get;

$x+2x=39.45\\\\3x=39.45$

Dividing both side by 3 we get;

$\frac{3x}{3}=\frac{39.45}{3}\\\\x=\$13.15$

Cost paid for groceries = $13.15

Cost paid for wallet = $2x=2\times 13.15 =\$26.30$

Hence the Cost of wallet was $26.30.

6 0

3 years ago

The apothem is 3V3 units because it is

Reika [66]

Answer:

Opposite the 60-degree angle.

Step-by-step explanation:

5 0

3 years ago

The math test scores of Mrs. Hunter's class are shown below:

pishuonlain [190]

Answer:

Step-by-step explanation:

Well since everything is already in order from least to greatest:

48, 56, 68, 72, 72, 78, 78, 80, 82, 84, 88, 88, 88, 90, 94, 98, 100

The median is the number in the middle

So 82 is the median

Hope this helps!

Feel free to comment any questions you have!

6 0

3 years ago

Simplify the expression. Quantity cosecant of x to the power of two times secant of x to the power of two divided by quantity se

Art [367]

Answer:

D. 1

Step-by-step explanation:

We have the expression, $\frac{\csc^{2}x\sec^{2}x}{\sec^{2}x+\csc^{2}x}$

We get, eliminating the cosecant function,

$\frac{\sec^{2}x}{\frac{\sec^{2}x}{\csc^{2}x}+1}$

As, sinx is reciprocal of cosecx and cosx is reciprocal of secx,

i.e. $\frac{\sec^{2}x}{\frac{\sin^{2}x}{\cos^{2}x}+1}$

i.e. $\frac{1}{\cos^{2}x}\times \frac{\cos^{2}x}{\sin^{2}x+\cos^{2}x}$

Since, we know that, $\sin^{2}x+\cos^{2}x=1$

Thus,

$\frac{1}{\cos^{2}x}\times \frac{\cos^{2}x}{\sin^{2}x+\cos^{2}x}=1$

So, after simplifying, we get that the result is 1.

Hence, option D is correct.

3 0

3 years ago