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3 years ago

What are the solutions to x^2-5x+3=0?

Mathematics

1 answer:

Viktor [21]3 years ago

4 0

Answer:

Step-by-step explanation:

You need to use the quadratic equation

x = $\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}$

Givens

a = 1
b = - 5
c = 3

x = $\frac{5 +/- \sqrt{5^2 - 4a*1*3} }{2} \\$

x =( 5 +/- sqrt(25 - 12) ) / 2

x = (5 +/- sqrt(13) )/2

x = (5 + sqrt(13) / 2

x = 4.303 rounded

x = (5 - sqrt(13) ) /2

x = .6972

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A baseball bat costs $41. This is $9 more than four times the wholesale cost of the bat.Find the bat's wholesale cost.

Lostsunrise [7]

We can find the bat's wholesale cost by working backwards -

Do $41 - 9 to get $32, then we can divide the 32 by the 4 to get $8.

Therefore, the wholesale cost of the bat is $8.

Happy to help!

7 0

2 years ago

Read 2 more answers

Three functions are given below: f(x), g(x), and h(x).

Rzqust [24]

Answer: The axis of symmetry is x=1.

Explanation:

The given function is,

$g(x)=5x^2-10x+7$

The degree of the equation is 2. SInce it is a quadratic function therefore the graph of the function is a parabola.

The axis of symmetry of a parabolic function $f(x)=ax^2+bx+c$ is a vertical line,

$x=-\frac{b}{2a}$

Since the value of a is 5m b is -10 and c is 7, So the axis of symmetry is,

$x=-\frac{(-10)}{2(5)}$

$x=\frac{10}{10}$

$x=1$

Therefore, the axis of symmetry is x=1.

5 0

3 years ago

A bakery sells bagels at two different rates. When a customer buys fewer than 12 bagels, each one costs $1.25. When a customer b

Sav [38]

Answer:

1.25b when b < 12 , 1b & then 0.75 b when b <u>> </u>12

Step-by-step explanation:

Price for b bagels = Price x Quantity

* Less than 12 bagels bought, cost $1.25 per bagel

So, price for b bagels, when (b < 12) = 1.25b

* 12 or more than 12 bagels bought, cost $1 upto first 12 bagels & 0.75b on each additional bagel

So, price for b bagels, when (b = 12) = b

So, price for b bagels, when (b > 12) = b + 0.75b' , where b' denotes extra b beyond 12

8 0

3 years ago

What is the inverse of the function f(x) = 2x + 1?

Luda [366]

Answer:

$f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}$ ⇒ answer 1

Step-by-step explanation:

* Lets explain how to find the inverse of a function

- To find the inverse of a function :

# Write y = f(x)

# Switch the x and y

# Solve to find the new y

# The new y is $f^{-1}$

* Lets solve the problem

∵ f(x) = 2x + 1

- Put y = f(x)

∴ y = 2x + 1

- Switch x and y

∴ x = 2y + 1

- Solve to find the new y

∵ x = 2y + 1

- Subtract 1 from both sides

∴ x - 1 = 2y

- Divide both sides by 2

∴ (x - 1)/2 = y

- Divide each term in the left hand side by 2

∴ y = 1/2 x - 1/2

- Replace y by $f^{-1}$

∴ $f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}$

* The inverse of the function is $f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}$

7 0

3 years ago

Read 2 more answers

(04.05 MC)

nika2105 [10]

Answer:

Step-by-step explanation:

Plug in and see.

Check A: Lets plug in (0,3) into y<2/3 x+2.

3<2/3 (0)+2

3<2 is not true so not A

Check C: Lets plug in (3,5) into y<2/3 x+2.

5<2/3 (3)+2

5<2+2

5<4 is not true so not C

Check B: Lets plug in (-3,1) into y<2/3 x+2.

1<2/3 (-3)+2

1<0 is not true so not B

Check D: Lets plug in (1,2) into y<2/3 x+2.

2<2/3 (1)+2

2<2/3+2 is true so D

6 0

3 years ago