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velikii [3]
2 years ago
15

Find the x and y intercepts.

Mathematics
1 answer:
Roman55 [17]2 years ago
3 0
-3/4x + 5/6 y = 15

Multiply through by 6

-9/2x + 5y = 90

Add 9/2x to both sides

5y = 90 + 9/2x

Divide both sides by 5

y = 18 + 9/10x

y = 9/10x + 18
Comparing with the general equation of a straight line y = mx + c

Gradient (m) = 9/10 or 0.9
and the y - intercept (c) = 18




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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
What is the equation, in standard form, of the line that passes through (-3, -5) and has a slope of 2? A -2x+y=1 B -2x+y=-2 C y=
ASHA 777 [7]
The answer is a , hope this helps!!
7 0
3 years ago
If f(x) = 2x2 - 5 and g(x) = 3x + 3, find (f - g)(x).
Vera_Pavlovna [14]
Answer: A. 2x2 - 3x - 8

Just subtract the functions and combine like terms
(f - g)(x) = f(x) - g(x)
(f - g)(x) = 2x^2 - 5 -(3x + 3)
(f - g)(x) = 2x^2 - 5 - 3x - 3
(f - g)(x) = 2x^2 - 3x - 8
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3 years ago
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zhuklara [117]

since BAD = 125

180-125 = 55 so ADC = 55

ADC = GHE so GHE = 55 degrees


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How much will it cost to ride if the cab travels 13.5 miles?
MrMuchimi
Please provide more information. This question is not able to be answered with the information provided. Try giving the full problem!
6 0
3 years ago
Read 2 more answers
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