Answer:
[tex]\sqrt{x-1} , -\sqrt{x-1}[/tex]
Step-by-step explanation:
(y=x^2+1)^-1=
x=y^2+1
x-1=y^2
+ or -sqrt(x-1)=y
therefore, y=
[tex]\sqrt{x-1} , -\sqrt{x-1}[/tex]
Find all solutions y(real and otherwise)to the equation
y^8+16=17y^4
Answer:
y=2, y=-2 y = 2i, y= -2i y = 1, y = -1 y = i, y = -i
Step-by-step explanation:
y^8+16=17y^4
Subtract 17 y^4 from each side
y^8 - 17 y^4+16=17y^4-17 y^4
y^8 - 17 y^4+16 =0
Let x = y^4
x^2 -17x + 16 =0
Factor
( x-16) ( x-1) =0
Using the zero product property
x-16 =0 x-1 =0
x=16 x=1
Replace x with y^4
y^4 = 16 y^4 = 1
y^4 -16 = 0 y^4 -1 =0
Replace y^2 with z
z^2 -16 =0 z^2 -1 = 0
( z-4) ( z+4) = 0 ( z-1) = 0 ( z+1) =0
z=4 z=-4 z=1 z=-1
Replace z with y^2
y^2 = 4 y^2 = -4 y^2 = 1 y^2 = -1
Taking the square root
y=2, y=-2 y = 2i, y= -2i y = 1, y = -1 y = i, y = -i
To rewrite a subtraction problem, the integer behind the subtraction sign has to be changed to its-?
100 POINTS AND BRAINLY IF YOU FIND IT! What came first the chicken or the egg?
Answer:
the chicken
Step-by-step explanation:
Answer:
The chicken
Step-by-step explanation:
you need a chicken to put the eggs
BTW TYSM
is this table a function?
Answer:
Yes
Step-by-step explanation:
Despite the fact that this has more than one Y value, It passes the line test
therefore, it IS infact a Function
(disregard that last one)
Answer:
Yes
Step-by-step explanation:
A graph is only a function when there is only one y value for each x value.
As you see, there are no repeated x values, so it is a function.
Hope this helps
The product of x and 6 less than twenty.
Answer:
The answer is 20-6x
Four times a number -2 is greater than 3+ twice that number
Need help
3. Julio's dad bought 10 dozen potatoes. The potatoes were equally
divided into 6 bags. How many potatoes are in each bag?
Answer:
20 bags
Step-by-step explanation:
10x12=120
120/6=20
There u go :)
Answer:
there are 20 potatoes in each bag
Step-by-step explanation:
I'm pretty sure you have to multiply 10 x 12 because there are 10 groups of a dozen potatoes. you get 120 and then you divide 120 by 6.
A class has 20 students.the teacher divides them into teams of 4 students.how many teams are there?
Answer:
5
Step-by-step explanation:
20 divided by 4 equals 5
or
4 times 5 equals 20
or
4+4+4+4+4=20
or
5+5+5+5=20
Find the coordinate of the midpoint of HK if H(-1,2) and if K(-7,-4)
Answer:
(3, 0.5)
I hope this helps!
WILL MARK BRAINLIEST!! Which of the following is true about the function below?
Answer:
it is B
Step-by-step explanation:
Answer:
D. is domain is (-10, infinite) and its range is (0, infinite)
Step-by-step explanation:
a p e x , just took the quiz
Suppose a turtle walks 3/8 of a mile in 50 minutes
What is the unit rate when the turtle’s speed is expressed in miles per hour (mph)?
A) 3/20 mph
B) 5/20 mph
C) 7/20 mph
D) 9/20 mph
Answer:
I'm not really sure but I want to say A) 3/20
Sarah invests $6000 in an annually compounded account with an interest rate of 1.7% for 8 years. what is the balance of her account after those 8years? Round to the nearest dollar. Do not round until the final step
I need help with this problem, I don’t understand any of this
Answer:
distributive propertyaddition (subtraction) property of equalityadditive identity element (properties of real numbers)division property of equalitymultiplicative identity element (properties of real numbers)Step-by-step explanation:
A lot of math is about identifying and matching patterns. Often, the patterns have an associated vocabulary. It helps to learn the patterns and the associated words.
__
Pattern: a(b +c) ⇔ ab +ac . . . description: distributive property
Pattern: a = b ⇒ a +c = b +c . . . description: addition property of equality
Pattern: a = b ⇒ a/c = b/c . . . description: division property of equality
Patterns: a -a = 0; a + 0 = a . . . description: properties of the additive inverse and the additive identity element
Patterns: a×(1/a) = 1; a×1 = a . . . description: properties of the multiplicative inverse and the multiplicative identity element
__
When parentheses come or go, the distributive property is usually involved. In the second line, you need to recognize that -2(3y) = -6y and that -2(-7) = +14. The result on the left is from applying the distributive property to remove parentheses.
The third line differs from the second line in that -14 shows up on both sides of the equal sign. This is a clue that the addition (or subtraction) property of equality is involved.
The fourth line differs from the third in that +14-14 disappeared from the left side, and -4-14 was replaced with -18 on the right side. The sum of a number and its opposite is zero, a property of the additive inverse. The fact that -4-14 = -18 is a property of real numbers. (You have to decide the best drop-down choice for that line.)
The fifth line shows both sides of the equation divided by -6. The multiplication (division) property of equality lets you do that.
The last line shows a simplification of the previous one. Again, the properties of real numbers and of the multiplicative inverse are involved. (You have to decide the best drop-down choice for that line.)
1) 3 ± 4 2 5 Which number in the expression is a factor? A) 2 B) 3 C) 4 D) 5
Answer:
4
Step-by-step explanation:
because you can do 2x2=4 amnd 1x4=4 bnut u cant for the others.
Solve: 1606 ÷ 73 = ____
Answer:
22
Step-by-step explanation:
the answer is 22 duydtodogxhfydududurudyxhxoxitxyiydyid
Answer:
22..Hope it help you...
Step-by-step explanation:
1606/73=22
In the figure below, m∠1 = 46°. Find m∠2
Answer:
if its a 90 degree angle u will say 90 -46 to get m<2
if is a 180 degree angle u will say 180-46 to get m<2
hope this helped :) brainliestn pls
whats 2 copies of 4 tenths?
Answer:
20 tenths
Step-by-step explanation:
Based on the table, which best predicts the end behavior
of the graph of f(x)?
Answer:
Step-by-step explanation:
It’s a
Answer:
D
Step-by-step explanation:
Round 78482 to the nearest ten thousand
Answer:
80000
Step-by-step explanation:
Answer:
80,000
Step-by-step explanation:
Which statement is false
Express each of these system specifications using predicates, quantifiers, and logical connectives, if necessary.
a. At least one console must be accessible during every fault condition.
b. The e-mail address of every user can be retrieved whenever the archive contains at least one message sent by every user on the system.
c. For every security breach there is at least one mecha- nism that can detect that breach if and only if there is a process that has not been compromised.
d. There are at least two paths connecting every two dis- tinct endpoints on the network.
e. No one knows the password of every user on the sys- tem except for the system administrator, who knows all passwords.
The system specification with predicates, quantifiers, and logical connectives are:
a. ∃C(x) ∀F(y) such that if F(y) is true, C(x) is true.
b. ∀U(x) (∃M(y) if ∀U(z), ∃M(w) is true, then E(x) is true).
c. ∀B(x) (∃D(y) D(y) can detect B(x) ↔ (∃P(z) ¬P(z) is true)).
d. ∀E(x, y) (∃P(z, w) and ∃P(u, v) such that P(z, w) and P(u, v) connect
E(x, y)).
e. ∀U(x) (¬P(x) is true, except for the system administrator who knows all passwords: ∀U(y) P(y) if y is the system administrator).
We have,
a.
Let C(x) be the predicate "x is a console" and F(x) be the predicate "x is a fault condition".
The specification can be expressed as:
∀F(x) ∃C(y) such that if F(x) is true, C(y) is true.
b.
Let U(x) be the predicate "x is a user" and M(x) be the predicate "x is a message".
The specification can be expressed as:
∀U(x) ∃E(y) such that if ∀U(x), ∃M(z) is true, E(y) is true.
c.
Let B(x) be the predicate "x is a security breach", D(x) be the predicate "x is a detection mechanism", and P(x) be the predicate "x is a compromised process".
The specification can be expressed as:
∀B(x) ∃D(y) such that D(y) can detect B(x) if and only if ∃P(z) such that ¬P(z) is true.
d.
Let E(x, y) be the predicate "x and y are distinct endpoints" and P(x, y) be the predicate "x and y are connected by a path".
The specification can be expressed as:
∀E(x, y) ∃P(z, w) and ∃P(u, v) such that P(z, w) and P(u, v) connect E(x, y).
e.
Let U(x) be the predicate "x is a user" and P(x) be the predicate "x knows the password".
The specification can be expressed as:
∀U(x) ¬P(x) is true, except for the system administrator who knows all passwords, which can be expressed as:
∀U(x) (x is the system administrator → P(x)).
Thus,
The system specification with predicates, quantifiers, and logical connectives are:
a. ∃C(x) ∀F(y) such that if F(y) is true, C(x) is true.
b. ∀U(x) (∃M(y) if ∀U(z), ∃M(w) is true, then E(x) is true).
c. ∀B(x) (∃D(y) D(y) can detect B(x) ↔ (∃P(z) ¬P(z) is true)).
d. ∀E(x, y) (∃P(z, w) and ∃P(u, v) such that P(z, w) and P(u, v) connect
E(x, y)).
e. ∀U(x) (¬P(x) is true, except for the system administrator who knows all passwords: ∀U(y) P(y) if y is the system administrator).
Learn more about predicates, quantifiers, and logical connectives here:
https://brainly.com/question/33819739
#SPJ4
What is the y intercept?
Look at the picture.
Answer:
-1
Step-by-step explanation:
It hits the y-axis at -1, so the answer is -1.
7,000,000 + 600,000 + 70,000 + 2,000 + 500 + 30 + 1 in standard form?
Answer:
7,672,531
Step-by-step explanation:
because its a problem where you have to think about how you put them together
What are the two numbers whose sum 8 and the product is 7
Answer: 1 and 7
Step-by-step explanation:
Since 7 is prime, you only have 1 and 7 multiplied to get 7 and when added together, form 8.
20 poil
4. Ms. Lawson bought land at $780.20 per acre. Her total cost was
$9,674.48. How many acres of land did she buy?*
Answer: 12 for accurate 12.4
Step-by-step explanation: This is easy all you needed to do was divide 9,674.48 by 780.20 and get 12.4
B. If the parents spent a total of $400 on everything for the party, how much more did they spend in addition to what was spent in parts (a) and (b)?
Part A answer of how much they spent was 64.50
Part B the answer of what they spent was 23.88
Answer:
311.62
Step-by-step explanation:
add a and b then subtract it by 400 there is ur answer my friend
Answer:
Plz mark me brainlest!
Step-by-step explanation:
311.62 Because I added that total and I got 551.78, and that doesn't make's sesne so I founded another answer for it and it's 331.62
Answer
331.62
Hope this helps you!
simplify 3 to the power of 2 times 3 to the power of 5
Answer:
2187
Step-by-step explanation:
3 ^2 * 3 ^5 = 2187
please mark brainliest
The answer is 3⁷ because when you are multiplying exponents with the same base, you keep the base and add the exponents. an example of this would be 4² x 4³. To simplify the expression you ignore the base, which is 4, and add the 2 and 3 to get 4⁵. So the answer to your question is 3⁷.
HELP! HURRY PLEASE!!!!! URGENTTTTTTTTT
Answer:
The slope of the line is 3.
Step-by-step explanation:
It is 3 because if you plug the numbers into the formula (y2-y1/x2-x1) you get 3/1, which simplifies to 3.
Step-by-step explanation:
Well you have to do y2-y1/x2-x1
Which you take the points (-4,2) and (-3,5). It doesn't matter what points you choose because they will end up as the same answer.
Now you do 5-2/-3-(-4)
I think you will be able to solve the answer now! Hope this helps <3
Help HELP!
Thanks to the ones helping me I very much appreciate it so so much!
Answer:
We are given the function h(y) = 4|y + 2| - 3
So, to get the value of h(-8), we just have to replace the y in the equation with -8
In functions, the variable in the parentheses next to the name of the function is the variable we have to replace since the function is defined in the terms of that one variable. When you do more advanced questions, you will encounter functions with more than 1 variable
h(y) = 4 | y + 2 | - 3
replacing y with -8 to get the output in terms of -8
h(-8) = 4 | -8 + 2 | -3
h(-8) = (4 * 6) - 3
h(-8) = 24 - 3
h(-8) = 21
please help with this! i have no idea how to do it
Answer:
The 3rd and the last one
I remember i had a a work like that before
Step-by-step explanation: