For the given set of expressions the truth values are -
(a) ∀x∃y (xy > 0) - false
(b) ∃x∀y (xy = 0) - true
(c) ∀x∀y∃z (z = (x - y)/3) - true
(d) ∀x∃y∀z (z = (x - y)/3) - true
To determine: Truth value of each expression.
The domain is the set of all real numbers.
(a) ∀x∃y (xy > 0)
We need to check whether the expression xy > 0 holds true for all values of x and there exists a value of y such that the expression holds true.
For x = 0, xy = 0 which is not greater than 0.
So, the given expression is false.
(b) ∃x∀y (xy = 0)
We need to check whether there exists a value of x such that the expression xy = 0 holds true for all values of y.
For x = 0, the expression xy = 0 holds true for all values of y.
Hence, the given expression is true.
(c) ∀x∀y∃z (z = (x - y)/3)
We need to check whether for all values of x and y there exists a value of z such that the expression z = (x - y)/3 holds true.
The expression is true.
We can take z = (x - y)/3.
(d) ∀x∃y∀z (z = (x - y)/3)
We need to check whether for all values of x there exists a value of y such that for all values of z the expression
z = (x - y)/3 holds true.
We can rewrite the given expression as ∃y∀z (z = (x - y)/3)
For x = 0, the value of y = 0, which satisfies the given expression. Hence, the given expression is true.
Know more about the truth values
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PLS HELP ME ASAP!!!!!!!!! ill give thanks, and five stars
Answer:
A
Step-by-step explanation:
The additive inverse property states that if we have a number a, then:
[tex]a+(-a)=0[/tex]
Here, we have the equation:
[tex]2x=542[/tex]
And we divide both sides by 2:
[tex]2x/2=542/2[/tex]
To acquire:
[tex]x=271[/tex]
So, we did not use the additive inverse property since we didn't add anything.
Instead, we used the division property of equality by dividing both sides by 2.
So, our answer is A.
And we're done!
Which subtraction expression would you use to find out how much longer the blue trail is than the orange trail?
Answer:the answer is A
Step-by-step explanation:
i just it right
Answer:
its b
Step-by-step explanation:
what is four less then a number
Answer:
n - 4 :)
Step-by-step explanation:
A number = n
So, 4 less than n is simply n - 4 :)
v=bnj solve for b
this is in algebra 2
Answer:
The solution is [tex]b=\frac{v}{nj}[/tex]
Step-by-step explanation:
To solve an equation for a variable, state this variable with coefficient 1 on the left side and all the other terms on the right side
Ex: 2x + 6y = 10, solve for x
Subtract 6y from both sides to move it to the right side2x + 6y - 6y = 10 - 6y2x = 10 - 6yDivide each term on both sides by 2 to make the coefficient of x = 1[tex]\frac{2x}{2}=\frac{10}{2}-\frac{6y}{2}[/tex]x = 5 - 3yLet us use the same way to solve the given equation for b
∵ v = bnj
→ Switch the two sides to put b on the left sides
∴ bnj = v
∵ n and j multiplied by b
→ Divide both sides by nj to move them from the left side to the right side
∴ [tex]\frac{bnj}{nj}=\frac{v}{nj}[/tex]
∴ [tex]b=\frac{v}{nj}[/tex]
The solution is [tex]b=\frac{v}{nj}[/tex]
can someone please solve this for me?
3p + q - 8p + 4q
Answer:
-5p + 5q or 5q - 5p
Step-by-step explanation:
For this equation, you would combine like terms to get the answer.
So you would combine 3p and -8p and get -5p. (whenever combining like terms, the variable always takes the sign in front of it that's why 8p is negative)
And then combine q and 4q which would make 5 q because a single letter always has a 1 in front of it regardless of it is shown or not.
Then you would set the equation up as it is shown above
Help please? I would love if you could answer quickly.
Answer:
90
Step-by-step explanation:
[tex]\frac{5}{9}(194-32)=90[/tex]
determine the slope of the graph
a. 2
b. -7
c. -2
d. 7
Answer:
Step-by-step explanation:
slope is 2
Simplify completely
(x+1/1-x)(x+2/x^2)
Answer:
x^3+2÷x^2
Step-by-step explanation:
I NEED HELP ITS FOR A GRADE THIS IS LAST QUESTION I GIVE U BRAINLIEST IF U GET IT RIGHT
Answer:
1rst is 2
2nd is 28 4/5
3rd is 26 4/5
Write the equation 3x + 2y = 18 in slope-intercept form. What are the slope and the y-intercept?
Answer:
Step-by-step explanation:
Slope intercept form: y=mx+b
3x+2y=18
3x-18=-2y
divide by -2 both sides
y=-3/2x + 9
slope: -3/2
y-intercept: 9
Answer: y = -3/2x + 9
Steps: 3x + 2y = 18
convert to slope intercept form: y = -3/2x + 9
Plz mark brainliest:)
Mariah makes $60 per day
selling bracelets, and she
already has $55 in her
account. Write a linear
equation for this situation
and calculate how much
money Marlah will have
after one week of selling
bracelets.
Answer:
don't know if this works but I'll try
Step-by-step explanation:
Y=60x+55
y is how many days and the 55 is there because that is how much mariah already has made?
What proportion results in the equation 9m= 10n? ?
9 10
n
177
9.
m
9
0
10
13 13 6
m
n
10
R
10
Answer:9m=17n
Step-by-step explanation:
Me ajudem (2+10) (x+20)
Answer:
it is 12x + 200
Step-by-step explanation:
Which is the graph of the function f(x) = -x
ax+16=b−3x what is a= and what does b= ?
Answer:
Slope=4
x−intercept=−
4
16
=−4
b−intercept=
1
16
=16.0000
Step-by-step explanation:
Tickets to the zoo cost $12 for adults (x) and $8 for children (y). The school has a budget of $240 for the field trip.
Use your equation and/or your graph to calculate how many children will be able to go to the zoo if 8 adult tickets are purchased.
Equation=
12x+8y=240
Answer:
y=18
Step-by-step explanation:
The equation for this problem would be c=12x+8y (c being the total cost of tickets) If you plug in 240 for c, the equation is 240=12x+8y. From there, you know that 8 adult tickets are purchased, so we can plug 8 in for x. So 240=12(8)+8(y) Since the goal is to solve for y, you just simplify the equation.
True or False ?
To find the slope,
divide the horizontal distance
between the points by the vertical distance .
i.e SLOPE =
horizontal distance
_____________________
vertical distance
2 1/ 2 =1 2/ 3 ÷y
Please help!!!!!
Answer:
y=8/21
Step-by-step explanation:
Which of the following transformations will produce similar figures? Select all that apply.
(1/2 x,1/2 y)
(x + 2, y - 5)
(-x, y)
(2x, 4y)
Answer:
the second and third one because the other two become larger and smaller while the second and third are just moved. I'm not 100% sure tho I haven't done this in years.
the area of a rectangular window is 6216 cm^2. if the length of the window is 84 cm, what is it's width?
Answer:
The answer is 74 cmStep-by-step explanation:
The area of a rectangle = length × width
Since we are finding the width
We have
[tex]width = \frac{area}{length} \\ [/tex]
From the question
area = 6216 cm²
length = 84 cm
The width is
[tex]width = \frac{6216}{84} \\ [/tex]
We have the final answer as
74 cmHope this helps you
which ordered pair is a solution of the equation y=x-3?
a.) (-2,5)
b.) (-5,2)
c.) (2,5)
d.) (5,2)
thank you :)
Answer: the answer is D
Step-by-step explanation:
2=5-3
Determine whether the graphs of the given equations are parallel, perpendicular, or neither.
y= -4
x=8
Answer: perpendicular
Step-by-step explanation:
they make a right angle when graphed
The mapping diagram shows a functional relationship.
Complete the statement.
f(3) is ___
Answer:
f(3) is - 1
Step-by-step explanation:
f(3) means the function value when x = 3
3 is in the domain, the function value is in the range.
Thus when x = - 3 → y = - 1
f(3) is - 1
The value of given mapping diagram for function f(3) is - 1
What is Mathematical function ?
Mathematical function is the representation of relation between independent variables and dependent variables.
Here is given mapping diagram f(3) means the function value x = 3
3 is in the domain which is independent of range as shown in diagram.
Thus when x = 3 the range is approaching towards y = - 1
therefore, f(3) equals - 1
check and know more about function here :
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Solve the equation for x
√x+4-7=1
Options:
x=4
x=12
x=60
x=68
Answer:
i honestly dont know its tooooo hard
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
To remove the radical on the left side of the equation, square both sides of the equation.
√x+4−72=12x+4-72=12
Simplify each side of the equation.
x−3=1x-3=1
Move all terms not containing xx to the right side of the equation.
x=4
Solve this system by substitution, 50 points!
-x -y -z = -8
-4x +4y +5z = 7
2x+2z=4
Show steps please!
Answer:
:
Solve:
-X - Y - Z =-8
- 4X +4Y +5Z=7
2X + 2Z =4 is the same as x + z = 2. Thus, z = 2 - x.
Subst. 2 - x for z in the 1st and second equations.
-X - Y - Z =-8 becomes -x - y - (2 -x) = -8
- 4X +4Y +5Z=7 becomes -4x + 4y + 5(2-x) = 7
Now we have 2 equations in only 2 unknowns. Let's simplify them!
-x - y - 2 + x = -8 which becomes -y = -6, or y = 6
-4x + 4y + 10 - 5x = 7 which becomes -9x + 4y = 7 - 10 = -3
Now substitute 6 for y in this last equation: -9x + 4(6) = -3, or
-9x + 24 = -3, or
-9x = - 27 => x = 3
Then x = 3, y = 6 and z = 2 - x, or z = 2-3, or z = -1.
The solution is (3, 6, -1). Check it!!
Inessa ran 3 laps in 8 minutes. How long would it take her to run 10 laps at this pace? (This is proportions)
Answer:
26.6 minutes
Step-by-step explanation:
Set up a proportion
3/8 = 10/x
cross multiply
3x = 80
x = 26.6
Write the ratio in the simplest form.
45x/60x
Answer:
3x^2/4
Hey I am still learning tell me if i was wrong
Answer:
The simplest form of the ratio is:
3x/4x
*Hope this helps! : ) Have a good day/ night wherever u r!!*
help please im confused
==================================================
Explanation:
The table shows f = 0.8 for dry concrete road.
The skid mark is d = 90 feet long
Plug these values into the formula below. Use your calculator to simplify.
s = sqrt(30*f*d)
s = sqrt(30*0.8*90)
s = 46.4758
The car's speed was roughly 46.4758 mph
The car is over the 35 mph speed limit.
Do all variable terms have a coefficient?
technically yes because even if you have a variable of just x, there is still a coefficient of 1
what is the square root of -1?
Answer:
It might be weird but i is the answer and I don't know why exactly.
Step-by-step explanation:
I think it's because there is no real number when having a negative square.
