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earnstyle [38]
3 years ago
5

What is the value of b^2 - 4ac for the following equation?

Mathematics
1 answer:
WINSTONCH [101]3 years ago
5 0
(7)^2-4(5)(-6)=

49+120=169 is the answer
You might be interested in
An expression is shown below. Which expression is equivalent to the expression shown?
Vera_Pavlovna [14]

Note: In option A, it should be "+" instead of "(".

Given:

The expression is

-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)

To find:

The equivalent expression.

Solution:

We have,

-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)

Using distributive property, we get

=-2x(x)-2x(y)-2x(-3)+3(-x)+3(4y)+y(3x)+y(5y)+y(-3)

=-2x^2-2xy+6x-3x+12y+3xy+5y^2-3y

On combining like terms, we get

=-2x^2+5y^2+(-2xy+3xy)+(6x-3x)+(12y-3y)

=-2x^2+5y^2+xy+3x+9y

The expression -2x^2+5y^2+xy+3x+9y is equivalent to the given expression.

Therefore, the correct option is A.

6 0
3 years ago
Please help it’s due by tonight! The other two were posted if you are confused so you can see the full problem
DIA [1.3K]

Answer:

216 times smaller, 21600%, the cross section is a rectangle or square

8 0
3 years ago
the school record for sailing a paper airplane is 30 feet 9 inches.Paul sailed his airplane 7 yards 2 feet 6 inches.How far shor
9966 [12]
Convert yards to feet
1yard=3ft
times both sides by 7
7 yards=21ft

7yards 2ft, 6in is
21ft+2ft and 6in or
23ft and 6in


so from 23ft 6in to 30ft 9 in is how much?
30ft, 9in-23ft, 6in=
30ft-23ft, 9in-6in=
7ft, 3in


he was 7ft, 3in short
5 0
3 years ago
A manufacturer wants to construct a box whose base length is 4 times the base width. The material to build the top and bottom co
Nitella [24]

Answer:

width = 1.77845 ft

length = 7.1138 ft

height = 5.691 ft

total cost = $759.09

Step-by-step explanation:

volume = length x width x height

length = 4 width

base of the rectangle = 4 x 1 w = 4w²

72 (volume) = 4w²h

18 = w²h

f(c) = (2 x 4w² x $10) + (2 x wh x $5) + (2 x 4wh x $5)

f(c) = 80w² + 10wh + 40wh

f(c) = 80w² + 50wh

since we need only 1 variable (width), we have to substitute h:

h = 18/w²

f(c) = 80w² + 50w(18/w²) = 80w² + 900/w

f'(c) = 160w + 900/w²

0 = (160w³ + 900)/w²

0 = 160w³ + 900

0 = 20(8w³ + 45)

0 = 8w³ + 45

8w³ = -45

w³ = -45/8

w = ∛-45/8 = -1.77845 and 1.77845

since w cannot be negative, then it must be 1.77845

6 0
2 years ago
97/16 as mixed number
alexgriva [62]
<span>If you would like to write 97/16 as a mixed number, you can do this using the following step:
<span>
97/16 = 6 1/16
<span>
Result: 97/16 equals to 6 1/16 as a mixed number.</span></span></span>
8 0
3 years ago
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