[tex]2(i+3)>4(1-i)[/tex]
Distribute 2 in (i+3) and 4 in (1-i)
[tex]2i+6>4-4i[/tex]
Move -4i to another side and 6 to another side. When moving to another side, you'll have to change the sign/operator to opposite (Plus -> Minus, Multiply -> Divide)
[tex]2i+4i>4-6\\6i>-2\\[/tex]
For this part, move 6 to divide -2.
[tex]i>\frac{-2}{6} \\i>\frac{-1}{3}\\i>-\frac{1}{3}[/tex]
Whenever either a numerator or a denominator is in negative, we can pull out the negative in the middle of fraction.
Note that i is the symbol of imaginary number - as defined - i = √-1 But for this one, It's just a variable if I assume.
Thus, the answer is i > -1/3
59 + |-11| lol pls help fast lol
Answer:
70
Step-by-step explanation:
|-11| becomes positive cuz its an absolute. so its just 50 +11
Answer:
70
Step-by-step explanation:
The absolute value (the two lines that the -11 are between) refers to a numbers distance from zero. So more or less just remove the negative sign and add like normal.
Somebody PLZZZZZZZZ help me
five minus two
Answer: 3
Step-by-step explanation:
PLEASE HELP
Which of the following relations describes a function?
A. {(4,5), (5, 4), (6,4), (4, 6) }
B. {(5, 6), (5, 7), (5, 8), (5,9) }
C. {(4, 5), (5, 4), (6,5), (5, 6) }
D. {(5,6), (6, 7), (7, 8), (8, 9) }
Answer:
D
Step-by-step explanation:
The answer is D. {(5,6), (6,7), (7,8), (8,9)}
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).The notion of a function is easily understood using the metaphor of a function machine that takes in an object for its input and, based on that input, spits out another object as its output.
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).The notion of a function is easily understood using the metaphor of a function machine that takes in an object for its input and, based on that input, spits out another object as its output.A function is more formally defined given a set of inputs X (domain) and a set of possible outputs Y (codomain) as a set of ordered pairs (x,y) where x∈X (confused?) and y∈Y, subject to the restriction that there can be only one ordered pair with the same value of x. We can write the statement that f is a function from X to Y using the function notation f:X→Y.
may someone plz answer this
Answer:
At least 2 weeks
Step-by-step explanation: You divide until you reach 200
If a ∥ b and e ∥ f, what is the value of y? 87 88 91 92
58w
Step-by-step explanation:
syukrwdgiiyredghjjrwwxvko8wasc9eyp
Answer:
92
Step-by-step explanation:
Angle (x+1) is equal to 92 degrees, and x equals 91. If x equals 91, then (x+1) equals 92. (x+1) and angle y are equal angles, so therefore, you can determine that angle y is equal to 92 degrees.
-I got the question right on the test
Hope this helps!
In the fraction 7/8, the numerator denominator is 7.
7/8 is the fraction
7 is the numerator
8 Is the denominator
Answer:
hhshshidhidhsd
Step-by-step explanation:
how you feel about that????
why do we need to measure mass
A health club down the street has an initial joining fee of $100, and then you pay $5 each time you visit the gym. If Calvin spends $195, how many times did he visit the gym? Define Variable: Equation: Solve (Show all steps):
Answer:
The number of times he visited the gym is 19 times.
Step-by-step explanation:
A health club down the street has an initial joining fee of $100, and then you pay $5 each time you visit the gym. If Calvin spends $195, how many times did he visit the gym? Define Variable: Equation: Solve (Show all steps):
Let the number of times he visits the gym be represented as x
A health club down the street has an initial joining fee of $100, and then you pay $5 each time you visit the gym. If Calvin spends $195,
The Amount he spends = $195
= $100 + $5 × x
$195 = $100 + 5x
5x = $195 - $100
5x = $95
x = 95/5
x = 19 times
Therefore, the number of times he visited the gym is 19 times.
Kate and Nora each have a sum of money. The ratio of the amount of money Kate has to that of Nora is 3 : 5. After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9. Find the sum of money Kate had initially.
Answer:
900
Step-by-step explanation:
K N
3x 5x
3x+150:5x-150=7:9
3x+150/5x-150=7/9
9(3x+150)=7(5x-150)
27x+1350=35x-1050
27x-35x=-1050-1350
-8x=-2400
8x=2400
X=2400/8
X=300
Kate money 3x=3×300=900
Answer from abid58b
A square and a rectangle have equal
pieremeter the length of a ste of the
square is 4x-1 the length of the
rectangle is 2x + 2 and the width is
2x Write and solve an equation to find x
The value of x is 1 unit
• In Mathematics, rectangle and square are both four sided polygon, having all the internal angles equal to 90.The opposite sides of the rectangle are equal in length whereas in square all the sides are same which makes rectangle different from square.
• Area of rectangle is the product of length and breadth of rectangle. Perimeter of rectangle is twice the sum of its length and breadth. Area of square is side * side and perimeter of square is 4* side.
• Area of rectangle = l*b
Perimeter of rectangle = 2(l+b)
• Area of square = side * side
Perimeter of square = 4 * side
We are given that perimeter of square and rectangle is same and the side of square is 4x-1 and length of rectangle is 2x+2 and width of rectangle is 2x.
Perimeter of Square = Perimeter of rectangle
4 * (4x-1) = 2(4x+2)
16x -4 = 8x + 4
8x = 8
x = 1
The value of x is 1
Side of square = 4 – 1 = 3
Length of rectangle = 4
Breadth of rectangle = 2
Learn more about rectangle and square here
https://brainly.com/question/25292087
#SPJ9
In the diagram below, BELED, AC BC, and m/A = 71°. Find
m/D.
Step
1
try m/
Angle
m/A = 71°
B
71°
=
O
Reason.
Select a Reason
C
Given
E
D
Answer:
Because AC = BC
=> ️ACB is a isosceles triangle at C
=> m<A = m<B = 71°
At triangle ABC
m<A + m<B + m<ACB = 180°
=> 71° + 71° + m<ACB = 180°
=> m<ACB = 38°
We have m<ACB and m<ECD are 2 opposite angle
=> m<ECD = m<ACB = 38°
At triangle ECD
m<ECD + m<E + m<D = 180°
=> 38° + 90° + m<D = 180°
=> m<D = 52°
Which of the following values does not satisfy the inequality X - 7 > 12?
A 11
B 33
C 22
D 44
Answer:
We conclude that when we put x = 11, it does not satisfy the inequality.
Hence, option (A) is correct.
Step-by-step explanation:
Given the inequality
x - 7 > 12
Any value which makes the inequality FALSE would be the value that not satisfy the inequality.
Putting x = 11 in the inequality
x - 7 > 12
11 - 7 > 12
4 > 12
FALSE!
Reason: 4 can not be greater than 12
Putting x = 33 in the inequality
x - 7 > 12
33 - 7 > 12
26 > 12
TRUE!
Reason: 26 is indeed greater than 12
Putting x = 22 in the inequality
x - 7 > 12
22 - 7 > 12
15 > 12
TRUE!
Reason: 15 is indeed greater than 12
Putting x = 44 in the inequality
x - 7 > 12
44 - 7 > 12
37 > 12
TRUE!
Reason: 37 is indeed greater than 12
Therefore, we conclude that when we put x = 11, it does not satisfy the inequality.
Hence, option (A) is correct.
Answer:
11
Step-by-step explanation:
385 Students go on a field trip. There are 19 vehicles, some vans and some buses.
7 students can fit in a van, and 25 students can fit in a bus.
how many vans and buses were there ?
Answer:
14 buses and 5 vansStep-by-step explanation:
Let the number of buses be x and vans be y.
Equations as per given:
x + y = 1925x + 7y = 385Substitute y and solve for x the second equation:
y = 19 - x25x + 7(19 - x) = 38525x - 7x + 133 = 38518x = 385 - 13318x = 252x = 252/18x = 14Then finding y:
y = 19 - 14 = 5The answer is 14 buses and 5 vans
5+3w+3-w combine like terms to simplify
Answer:
8 + 2w
Step-by-step explanation:
⇒ Change all signs to addition (subtraction is the same as adding a negative):
5 + 3w + 3 + -w
⇒ Since the expression is now all addition, you can rearrange them in any order. So group the terms together by their type:
5 + 3 + 3w + -w
⇒ Simplify:
8 + 2w
Answer: 8 + 2w
Hope this helps! :)
6 unit squares each have 2/3 of their area shaded. what is the total area shaded?
Answer:
4 square units
Step-by-step explanation:
Answer:4 square units in total
Step-by-step explanation:
multiply 6 by 2/3
simplify 5n+11n=16n PLEASE
Answer:
16n=16n or n=1
Step-by-step explanation:
5n + 11n = 16n add like terms
16n = 16n divide both sides by 16
n = 1
Answer:
16n = 16n ⇒ True
Explanation:
Add to simplify:
5n + 11n ⇒ equals 16n
So, the final answer is:
16n = 16n ⇒ True (16n does equal 16n)
Hope this helps! :)
1.) A tower casts a shadow that is 60 feet long when the angle
of elevation of the sun is 65". How tall is the tower?
Answer:
128.67 ft
Step-by-step explanation:
Let the height of the tower be x feet.
[tex] \tan \: 65 \degree = \frac{x}{60} \\ \\ 2.1445069205 = \frac{x}{60} \\ \\ x = 2.1445069205 \times 60 \\ \\ x = 128.670415 \\ \\ x = 128.67 \: ft[/tex]
A triangle has a
height of 2x + 6 and a base length of x + 4.
What is the area of the triangle?
Answer: A=x^2+7x+12
Step-by-step explanation:
A=area of triangle. h=height. b=base
A=bh/2
A=(x+4)(2x+6)/2
A=(x+4)(2x/2+6/2)
A=(x+4)(x+3)
A=x*x+4x+3x+4*3
A=x^2+7x+12
please help me What is the quotient when 2/3 is divided by 5/6
Answer:
You on? I’m bored! You- you on? I’m bored
Step-by-step explanation:
Last week Ms. Foss worked 6.1 times as many hours as Mr. Sutton. Mr. Sutton
worked 5.4 hours.
How many hours did Ms. Foss work?
Answer:
3294
Step-by-step explanation:
6.1*5.4=3294
What is the slope of the line?
PLEASE NOW HELPPPP!!!
Answer:
4/5
Step-by-step explanation:
PLEASE HELP
Ben Dover bough a pair of shoes that were on sale for $49.95 from $79.95. What was Ben Dover's coupon percentage? What would the total price be with tax of 8.75%?
Answer:
with the tax it would be :50.03
And the percentage would be :60%
Step-by-step explanation:
. Which expression is NOT equal to 28? o A 1.288 = 46 B 1 820 = 65 C. 1456 - 52 D 1107 = 42
Write an equation in slope-intercept form of the line that has slope -5 and passes
through the point (5, 4). HELPPO
Answer:
y=-5x-21
Step-by-step explanation:
plug in numbers using point-slope form
y-4=-5(x-5)
y-4=-5x-25
y=-5x-21
What is the solution to the system of equations below?
y= 1 x+6 and y-x-4
O (-8,2)
O (-8,-1)
O (8, 10)
O (8,-10)
Please help
Answer: a or b on edge
Step-by-step explanation:
It’s either those
Based on the tables below when do these two functions intersect?
Answer:
(2, 3)
Step-by-step explanation:
Functions intersect when they reach the exact same point.
Answer:
they intersect at the point ( 2, 3 )
you can tell by going through both tables and seeing that this point is on both tables
Step-by-step explanation:
280 ml as a percentage of 140 l.
Answer:
280 ml as a percentage of 140 l is 0.2%
Step-by-step explanation:
Note that 1 liter = 1000 millilitersTo find a percentage of a number divide the number by the total and multiply the quotient by 100%∵ There is an amount of 280 ml
∵ The total amount is 140 l
→ Change the liter to milliliters using the 1st point above
∴ 140 l = 140 × 1000 = 140000 ml
∴ 140 l = 140,000 ml
→ Now divide the amount by the total, then multiply the quotient by 100%
∵ 280 ÷ 140,000 = [tex]\frac{1}{500}[/tex]
∵ [tex]\frac{1}{500}[/tex] × 100% = 0.2%
∴ 280 ml as a percentage of 140 l is 0.2%
Given that g(x) = −2x+20, find g(−3).
Answer: 26
Step-by-step explanation:
Okay, so... The new equation would be -2(-3)+20...
So follow the rule of PEMDAS, PEMDAS is;
Parentheses
Exponents
Multiplication
Division
Adding
and Subtracting
Since there are no equations in parentheses and no exponents, we start with multiplication. Which would be -2(-3). ANY parenthesized number beside another number means you must multiply them.
-2(-3) = 6 because a negative multiplied by a negative is a positive..
Now we have 6 + 20 which is 26, so 26 is your answer.
nth term (math) asap please.
Answer:
Just do minus two, and you will get 27-100=-73
Step-by-step explanation:
A toy rocket is launched from a platform 4.9 meters above the ground in such a way that its height, h (in meters) after t seconds is given by the equation H= -4.9t^2+ 33.6t+ 4.9. How long will it take for the rocket to hit the ground?A toy rocket is launched from a platform meters above the ground in such a way that its height, h (in meters) after t seconds is given by the equation . How long will it take for the rocket to hit the ground?
Answer:
So H have to equale to 0
and [tex]t> 0[/tex]
[tex]-4,9t^2+33,6t+4,9=0\\\Delta=33,6^2+4*4,9*4,9=1225\\\sqrt{\Delta }=35\\t=\frac{-33,6-35}{2*(-4,9)} =14s[/tex]
Step-by-step explanation:
The toy rocket will take a time of 6.8571 seconds to hit the ground.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given that the height of the rocket (h), in meters, in terms of time (t), in seconds, is defined by a quadratic equation.
To determine the time needed for the rocket to hit the ground, that is, a time t greater than zero such that the height is zero. Now we proceed to solve the polynomial:
- 4.9 · t² + 33.6 · t + 4.9= 0
- 4.9 · (t² - 6.8571 · t - 1) = 0
- 4.9 · (t - 6.8571 ) · (t + 6.8571 ) = 0
Hence, the toy rocket will take a time of 6.8571 seconds to hit the ground.
To learn more on quadratic equations:
brainly.com/question/1863222
#SPJ2