What is the discriminant of the quadratic equation 2x + 5x2 = 1?

Answers

Answer 1

Answer: $5x^2+2x-1=0$

Delta equation is:

$\Delta =(-b\pm\sqrt(b^2-4ac))/(2a)$

but we are interested in $b^2-4ac$ because it determines the discriminant

$5^2-4*2*(-1)=25+8=33$

$33>0$

which means that discriminant is positive :)

Answer 2

Answer:

Answer:

The discriminant of the quadratic equation is 24 .

Step-by-step explanation:

Discriminant form of the quadratic equation .

D = b² - 4ac

As the quadratic equation in the form.

2x + 5x² = 1

Simplify the above term

5x² + 2x - 1 = 0

As the quadratic equation in the form

ax² + bx + c =0

Here a = 5 , b = 2 , c= -1

put in the formula

D = 2 × 2 - 4× 5 × -1

D = 4 +20

D = 24

Therefore the discriminant of the quadratic equation 5x² + 2x - 1 = 0 is 24 .

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The sum of two numbers is 19, and their difference is 55. What are the two numbers?
Which is closer to 0: -35 or 45

Choose the method of pay that would result in the most earnings for one month on sales of $40,000.a.
Straight commission of 7.5% on all sales.
b.
Monthly salary of $1,600 plus 2.5% commission on all sales.
c.
Graduated commission of 5% on the first $30,000 in sales and 6% on anything over that.
d.
Graduated commission of 4% on the first $25,000 in sales and 8% on anything over that.

Answers

The option that results in the most earnings for one month on sales of $40,000 is option a. Straight commission of 7.5% on all sales.

To determine which method of pay would result in the most earnings for one month on sales of $40,000, let's calculate the earnings under each option:

a. Straight commission of 7.5% on all sales:

Earnings = 7.5% of $40,000 = 0.075 * $40,000 = $3,000

b. Monthly salary of $1,600 plus 2.5% commission on all sales:

Earnings = $1,600 (monthly salary) + 2.5% of $40,000 (commission) = $1,600 + 0.025 * $40,000 = $1,600 + $1,000 = $2,600

c. Graduated commission of 5% on the first $30,000 in sales and 6% on anything over that:

Earnings = (5% of $30,000) + (6% of $40,000 - $30,000) = (0.05 * $30,000) + (0.06 * $10,000) = $1,500 + $600 = $2,100

d. Graduated commission of 4% on the first $25,000 in sales and 8% on anything over that:

Earnings = (4% of $25,000) + (8% of $40,000 - $25,000) = (0.04 * $25,000) + (0.08 * $15,000) = $1,000 + $1,200 = $2,200

The option that results in the most earnings for one month on sales of $40,000 is option a. Straight commission of 7.5% on all sales.

Learn more about commission here

brainly.com/question/19919981

#SPJ12

Answer:

the answer is a. straight commission of 7.5% on all sales.

hope this helps <3

You are school supply shopping in together as a package of six pencils for $2.70 how much does each pencil cost

Answers

We know that 6 pencils = $2.70, so to find out the price of 1 pencil we just divide $2.70 by 6.

2.70 ÷ 6 = 0.45

Therefore each pencil costs $0.45

I hope this helps, have a great day! :)

Answer:

0.45 cents

Step-by-step explanation:

I need to find how many solutions does the system have.

Answers

From what I got there is one real solution :)

Rearrange the second equation to give y=2-2x, substitute into the first equation to give you a value for x and then using that you can work out y for the exact coordinates of intersection :)

Also they are both straight line graphs so they will either have one or no solutions

Hope this helped :)

Which point lies on a circle that is centered at A(-3, 2) and passes through B(1, 3)?C(-1, -2)

D(-6, 3)

E(-3, -3)

F(-2, 6)

Answers

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the center
r - the radius

$\hbox{the center: } A(-3,2) \nh=-3 \n k=2 \n \n\hbox{the equation:} \n(x+3)^2+(y-2)^2=r^2 \n \n\hbox{the circle passes through B(1,3)} \nx=1 \n y=3 \n \Downarrow \n(1+3)^2+(3-2)^2=r^2 \n4^2+1^2=r^2 \n16+1=r^2 \n17=r^2 \n \n\hbox{the equation is:} \n(x+3)^2+(y-2)^2=17$

Plug the coordinates of the points into the equation and check:
$C(-1,-2) \n(-1+3)^2+(-2-2)^2=17 \n2^2+(-4)^2=17 \n4+16=17 \n20=17 \nnot \ true \n \nD(-6,3) \n(-6+3)^2+(3-2)^2=17 \n(-3)^2+1^2=17 \n9+1=17 \n10=17 \nnot \ true$

$E(-3,-3) \n(-3+3)^2+(-3-2)^2=17 \n0^2+(-5)^2=17 \n25=17 \nnot \ true \n \nF(-2,6) \n(-2+3)^2+(6-2)^2=17 \n1^2+4^2=17 \n1+16=17 \n17=17 \ntrue$

The answer is F(-2,6).

If point (a,b) lies on the graph y=f(x), the graph of f^-1 (x) must contain point:

Answers

By the definition of inverse function,the point (a,b) lies on the graph $\bold{y= f(x).}$ So, (b,a) must be lies on the graph of $\bold{y=f^(-1) (x)}$ .

Given:

Point (a,b) lies on the graph y= f(x).

Find:

The graph of $\bold{y=f^(-1) (x)}$ must contain that point.

As per the definition of inverse function, if two one-to-one functions f(x) and g(x). If (f∘g)(x)=x and (g∘f)(x)=x. Then, we say that f(x) and g(x) are inverses of each other.

$\bold{f=\{ (x,y):x\epsilon R,y\epsilon R\}}$

Then, its inverse is defined as

$\bold{f^(-1) =\{ (y,x):x\epsilon R,y\epsilon R\}}$

Therefore, we have to interchange x and y-coordinate of the points which lies on the function f to get f⁻¹.

Thus, the point (a,b) lies on the graph $y= f(x).$ So, (b,a) must be lies on the graph of $y=f^(-1) (x)$ .

For more details, prefer this link :

brainly.com/question/10300045

Given:

Point (a,b) lies on the graph $y=f(x)$ .

To find:

The point which is must be lies on the graph of $y=f^(-1)(x)$ .

Solution:

According to the definition of an inverse function, if a function is defined as

$f=\{(x,y):x\in R,y\in R\}$

then, its inverse is defined as

$f^(-1)=\{(y,x):x\in R,y\in R\}$

It means, we have to interchange x and y-coordinate of the points which lies on the function f to get f⁻¹.

We have a point (a,b) lies on the graph $y=f(x)$ . So, (b,a) must be lies on the graph of $y=f^(-1)(x)$ .

Therefore, the correct option is (1).

A tutor charging 30$ per hour for 3 hours is it proportional to time or non proportional to time