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Rufina [12.5K]
3 years ago
5

Which of the following functions is graphed?

Mathematics
2 answers:
lora16 [44]3 years ago
6 0

Answer:

c

Step-by-step explanation:

SashulF [63]3 years ago
6 0
C. Y=lx-2l-3 is the answer
You might be interested in
Determine whether the statements in (a) and (b) are logically equivalent.
Andru [333]

Answer:

The two statements are logically equivalent.

Step-by-step explanation:

Let X be the statement that Bob is a double math and computer science major.

Y be the statement that Ann is a maths major.

Z be the statement that Ann is a double maths and computer science major.

The two statements written in terms of X, Y and Z now

a. Bob is a double math and computer science major and Ann is a math major, but Ann is not a double math and computer science major.

(x and y) and not z

b. It is not the case that both Bob and Ann are double math and computer science majors, but it is the case that Ann is a math major and Bob is a double math and computer science major.

not (x and z) and (x and y)

Noting that for logical statements,

Negation is represented by ~

And is represented by conjunction sign Λ

Or is represented by disjunction sign V

(x and y) and not z

(x Λ y) Λ (~z)

not (x and z) and (x and y)

~(x Λ z) Λ (x Λ y)

We can then simplify the second statement to obtain the first statement and prove the equivalence of both sides

~(x Λ z) Λ (x Λ y)

Using DE MORGAN'S theory, ~(x Λ z) = (~x) V (~z)

~(x Λ z) Λ (x Λ y) = ((~x) V (~z)) Λ (x Λ y)

Then applying the distributive law to the expression, we can open the bracket up

((~x) V (~z)) Λ (x Λ y)

= ((~x) Λ (x Λ y)) V ((~z) Λ (x Λ y))

Opening the first bracket up further

((~x) Λ (x Λ y)) V ((~z) Λ (x Λ y))

= ((~x) Λ x) Λ y) V ((~z) Λ (x Λ y))

The NEGATION law shows that (~x Λ x) = c (where c is a negation law parameter for when two opposite statements are combined in this manner, it works like a 0 in operation)

((~x) Λ x) Λ y) V ((~z) Λ (x Λ y))

= (c Λ y) V ((~z) Λ (x Λ y))

But (c Λ y) = (y Λ c) = c (according to the UNIVERSALLY BOUND law, see how c works like a 0 now?)

(c Λ y) V ((~z) Λ (x Λ y))

= c V ((~z) Λ (x Λ y))

= ((~z) Λ (x Λ y)) V c (commutative)

And one of the foremost IDENTITY laws is that (any statement) V c = c

((~z) Λ (x Λ y)) V c

= ((~z) Λ (x Λ y))

= (x Λ y) Λ (~z)

Which is the same as the first statement!

PROVED!!!

Hope this Helps!!!

5 0
3 years ago
Read 2 more answers
I need help on #4 ASAP!!!!
kodGreya [7K]
Hi there. 

A triangle's interior angles must always add up to 180 degrees. Since we already have one measurement, 56, we can set up an equation to solve for the missing angles.

(2x + 4) + 56 + x= 180; solve for x.
Subtract 56 from both sides.
(2x + 4) + x = 124;
Combine like-terms (x).
3x + 4 = 124;
Subtract 4 from both sides.
3x = 120
Divide both sides by 3 to solve for x.
x = 40.

Now, we need to substitute x with 40 in each of our angles to determine their measurements.
2x + 4; x = 40.
2(40) + 4 = 80 + 4 = 84; 
One measurement is 84 degrees.

x = 40 is another measurement on its own.

Our measurements are:
56, 84, and 40.

Your corresponding answer choice is H.) 56, 84, 40.

I hope this helps!
7 0
3 years ago
Let u = (1,2), v = (−3,4), and w = (5,0)
sergij07 [2.7K]

Answer:

w-2u-v

Step-by-step explanation:

Given are three vectors u, v and w.

In R^2 we treat first element as x coordinate and 2nd element as y coordinate.

Thus we mark (1,2) in the I quadrant, (-3,4) in II quadrant and (5,0) on positive x axis 5 units form the origin.

b) w=au+bv

We have to find the values of a and b

(5,0) = a(1,2)+b(-3,4)]

Equate the corresponding terms

5=a-3b\\0=2a+4b

Divide II equation by 2 to get

0=a+2b

Eliminate a

-5 = 5b: b=-1

a=-2

Hence

w = 2u-v

7 0
3 years ago
Onii-Chan help me whit 5-8
lina2011 [118]
The answer to 5-8 is 3
4 0
3 years ago
Pleaseee help me with this only 3 questions!!!!
ElenaW [278]

Answer:

2. quadrant 4

3. quadrant 2

4. quadrant 3

Step-by-step explanation:

You can refer to the picture.

2. Since tan\theta less than 0 which means  tan\theta is negative, sin\theta less than 0 which means  sin\theta is negative.

So, the angle lies in quadrant 4 (Cos quadrant)

3. Since tan\theta less than 0 which means  tan\theta is negative, cos\theta less than 0 which means  cos\theta is negative.

So, the angle lies in quadrant 2 (Sin quadrant)

4. Since tan\theta more than 0 which means  tan\theta is positive, sin\theta less than 0 which means  sin\theta is negative.

So, the angle lies in quadrant 3 (tan quadrant)

5 0
3 years ago
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