All categories

3 years ago

If you want to buy an item in a store that costs $25 an is on sale for 10% off

Mathematics

1 answer:

kumpel [21]3 years ago

8 0

Answer:

2.50$ off or 22.50$

Step-by-step explanation:

You might be interested in

Write the equation of the function whose graph is shown. y = (x + )2 +

Deffense [45]

Quadratic form is given in the form
$y= ax^{2}+bx+c$ , where a, b, and c are constants

We substitute the value (8, 12) and (5,3) in turn

$12= a(8)^{2}+b(8)+c$
$12=64a+8b+c$ ... Equation 1

$3=a(5)^{2}+b(5)+c$
$3=25a+5b+c$ ... Equation 2

Equation 1 - Equation 2 gives
$39a+3b=9$ , we call this Equation 3

We also know that (5, 3) is the turning point of the curve, where the value of $x$ is given by $x=- \frac{b}{2a}$
Substitute $x=5$
$5=- \frac{b}{2a}$
$10a=-b$
$b=-10a$ ... Equation 4

Substitute Equation 4 into Equation 3
$39a+3b=9$
$39a+3(-10a)=9$
$39a-30a=9$
$9a=9$
$a=1$

Now we need to work out the value of $b$ and $c$

Substitute $a=1$ back into equation 4
$-10a=b$
$-10(1)=b$
$b=-10$

Substitute $a=1$ and $b=-10$ into either equation 1 or equation 2

$64a+8b+c=12$
$64(1)+8(-10)+c=12$
$64-80+c=12$
$c=12+80-64$
$c=28$

Hence the equation of the quadratic curve is
$y= x^{2} 10x+28$

8 0

3 years ago

Read 2 more answers

If you have 20 square pieces of wood, describe all the different ways you could make a rectangle by placing them side by side

rjkz [21]

If there is a 20 square pieces of wood, I can make a rectangle by placing them side by side are by 24, by 12, by 8 and by 6. Thank you for posting your question I hope my answer helps.

8 0

3 years ago

Read 2 more answers

Math- Look at the picture below i will mark you as brainliest if you answer correctly.

densk [106]

Answer:

Step-by-step explanation:

Substitue 15 into the x value and complete the equation.

This is because 2,280 is the original distance. 15 would be the hours and 60 would be how many miles per hour. So we multiply 15 and 60 and get 900, this is how many total miles they have driven. But when we subtract that number from 2,280, and we get 1,380, this is how many miles they have left.

4 0

2 years ago

Read 2 more answers

Solve the system of equations:

iVinArrow [24]

$(-1,-2) \: \: \: \: \: and \: \: \: \: \: (3,6) \\ Answer: A$

Step-by-step explanation:

$y = 2x \\ y = {x}^{2} - 3 \\ \\ 2x = {x}^{2} - 3 \\ {x}^{2} - 2x - 3 = 0 \\ (x + 1)(x - 3) = 0 \\ x + 1 = 0 \: \: \: \: \: or \: \: \: \: \: x - 3 = 0 \\ x = - 1 \: \: \: \: \: or \: \: \: \: \: x = 3$

When x = -1

Substitute x = -1 into y = 2x

y = 2(-1)

y = -2

( -1, -2)

When x = 3

Substitute x = 3 into y = 2x

y = 2(3)

y = 6

( 3, 6)

5 0

3 years ago

Nash ran how many miles in 5 weeks

liberstina [14]

Answer:

Is there more information?

Step-by-step explanation:

4 0

2 years ago