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2 years ago

3a²−4a+9=0 Use the discriminant to determine the number of real solutions to the quadratic equation.

Mathematics

1 answer:

ra1l [238]2 years ago

4 0

Answer:

None

Step-by-step explanation:

The discriminant of a quadratic equation is $b^2-4ac$ . In this case, that is:

$(-4)^2-4(3)(9)=16-108=-92$

Since the discriminant is negative, the square root will be a complex number, and this equation must have no real solutions. Hope this helps!

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A company has to buy computers and printers. Each computer, x, costs $585 and each printer, y, costs $385. If the company spends

Luden [163]

The company bought 9 computers and 6 printers

Solution:

Let "x" be the number of computers bought

Let "y" be the number of printers bought

cost of 1 computer = $ 585

cost of 1 printer = $ 385

The company buys a total of 15 machines

Therefore, we can frame a equation as:

number of computers bought + number of printers bought = 15

x + y = 15 ------ eqn 1

The company spends $7,575

Therefore, we can frame a equation as:

number of computers bought x cost of 1 computer + number of printers bought x cost of 1 printer = 7575

$x \times 585 + y \times 385 = 7575$

585x + 385y = 7575 ------ eqn 1

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 15 - y --------- eqn 3

Substitute eqn 3 in eqn 2

585(15 - y) + 385y = 7575

8775 - 585y + 385y = 7575

-200y = 7575 - 8775

-200y = -1200

y = 6

Substitute y = 6 in eqn 3

x = 15 - 6

x = 9

Thus the company bought 9 computers and 6 printers

6 0

3 years ago

What is 3/40 as a percentage, decimal and word form? Thanks for the help

denpristay [2]

Answer: .075 7.5% Zero point zero Seven five

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The length of a rectangular box is less than 2 inches more than the width. if the length is 7 inches, what is the area of the bo

kifflom [539]

They tell you that the length is 7 inches and that it is 2 inches more than the width therefore you can conclude that: length = 7 and the width = 5
you can plug the values given into the formula listed below:

A = lw
A = 7 x 5
A = 35

hope this helps :)

5 0

2 years ago

Read 2 more answers

The sum of the reciprocals of two consecutive odd integers is 24/143. find the two integers.

nordsb [41]

Let one integer be x, the consecutive odd integer is x+2
reciprocals are 1/x and 1/(x+2)
1/x +1/(x+2)=24/143
make the denominators the same:
(x+2)/[x(x+2)] +x/[x(x+2)]=24/143
143(2x+2)=24(x)(x+2)
286x+286=24x²+48x
24x²-238x-286=0
use the quadratic formula: x=22 this doesn't work because 22 is not an odd number.
or x=-2.1666666666 (this is not an integer)

weird.

4 0

3 years ago

Help me with this please no links

Nostrana [21]

The last option is the answer

8 0

3 years ago