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rodikova [14]
2 years ago
7

(2x^2)+7x+5=0, I do not understand the -5/2 part why is it negative please elaborate

Mathematics
1 answer:
mamaluj [8]2 years ago
5 0

Answer:

It is one of the answers of the quadratic expression.

Step-by-step explanation:

There are two answers (because it has exponents, you can have two answers)

-1, -2.5  or  -5/2

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(a) Plot the following function ona Karnaugh map.(Do not expand to minterm form before plotting.)
makvit [3.9K]

Answer:

a) the K-map is in the attachment

<em>f = Σ</em>m(0,1,2,3,6,10,14,15)

b) from the k-map, the minimum sum of products is

F = A'B' + CD' + ABC

c) the minimum product of sums is

F = (B' + C)(A' + C)(A+ B' +D')(A' + B + D')

Step-by-step explanation:

A Karnaugh map (K-map) is a pictorial framework used to limit the Boolean expressions without utilizing Boolean algebra theorems and equation controls.

a) the given function is <em>f</em>(A,B,C,D)=A‘B’+CD’+ABC +A’B’CD’+ABCD’

expanding the function as four variable terms

<em>f</em>(A,B,C,D)=A‘B’+CD’+ABC +A’B’CD’+ABCD’

= A'B'(C + C')(D + D')+(A + A')(B + B")CD' + ABC(D + D') + A'B'CD' + ABCD'

= A'B'CD + A'B'CD' + A'B'C'D' + ABCD' +AB'CD' + A'BCD' + A'B'CD' + ABCD +ABCD' + A'B'CD' + ABCD'

=A'B'CD + A'B'CD' + A'B'C'D + A'B'C'D' + ABCD' + AB'CD' + A'BCD' +ABCD

<em>f = Σ</em>m(0,1,2,3,6,10,14,15)

note: diagram is in the attachment

b) the minterms for the minimum sum of product are

<em>f = Σ</em>m(0,1,2,3,6,10,14,15)

simplifying the K-map(done in the attachment)

from the k-map, the minimum sum of products is

F = A'B' + CD' + ABC

c) the maxterms for the minimum product of sums are

<em>f </em>= ПM(4,5,7,8,9,11,12,13)

plot the K-map to find minimum product of sums(done in the attachment)

the minimum product of sums is

F = (B' + C)(A' + C)(A+ B' +D')(A' + B + D')

4 0
3 years ago
The sum of two numbers is 31. twice the smaller number is 11 more than the larger number. the positive difference between the nu
Artist 52 [7]
(x+y=31)2
2x-y=11
2x+2y=62
- 2x -y=11
3y=51
y=17
x+17=31
x=14
y-x=3
4 0
3 years ago
Which equation represents the line that has a slope of 4 and passes through the point (2, 7)?​
Wittaler [7]

Answer:

The answer is y = 4x - 1.

Step-by-step explanation:

☆The equation we'll be using: y = mx + b

☆Since we already have the slope. we have to find the y-intercept.

☆y = mx + b \\  \\ 7 = 4(2) + b \\  7 = 8 + b \\  \frac{ - 8 =  - 8 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }{ - 1 = b \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }

☆Using the information we gathered and was given, we just to put them together.

☆y = 4x - 1

3 0
3 years ago
2) A gym charges a $30 membership fee and $10 per month. Write an
kari74 [83]

C = 10m + 30, where C is total cost and m is # of months

C = 10(5) + 30

C = 50 + 30

C = $80

$160 = 10m + 30

160 - 30 = 10m

130/10 = m

m = 13 months

Hope that helps

5 0
3 years ago
The difference between the measures of two supplementary angles is 92. Find the measure of both angles
Sholpan [36]

supplementary angles add up to 180 degrees

x + y = 180

x - y = 92

---------------add

2x = 272

x = 272/2

x = 136 <=== this is one angle

x + y = 180

136 + y = 180

y = 180 - 136

y = 44 <=== this is ur other angle

7 0
3 years ago
Read 2 more answers
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