Answer:
(1+i)2=2i
Step-by-step explanation:
Since the 2 is on the outside of the) then that means it is multiplying and if you multiply 1x2 it will equal.2
Then if you were to multiply 2 x the i it will get 2i then you add it to get 2i
Answer:
Use formula (a + b)² = a² + 2ab + b²
(1 + i)² =1² + 2*1*i + i² =1 + 2i + (-1) =2iA motocross ramp is 16 feet tall and 24 feet long what is the slope of the ramp
How to I write 1 2/3 as an improper fraction help ASAP
Ron measured his garden to be 12‘ x 8 1/3‘. He plant vegetables in 3/4 of his garden. What is the area of his vegetable garden?
Answer:
4/4
Step-by-step explanation:
Hope this helped have an amazing day!
i put my age as 98 years old
Answer:
grandpa
Step-by-step explanation:
love u grandpa
PLEASE HELP!!!!!!!!!!!!!!
Solve kx - 3 = 5 for x.
A. x = 8 - k
B. x = 8k
C. x=2/k
D. x= 8/k
Answer: D
Step-by-step explanation:
I just got it wrong and D was the answer
nodadnotoday is my Spotify tho
what are 2 ratios equivalent to 2:12
Answer:
possible answers include 1:6 and 4:24
Step-by-step explanation:
think of ratios like fractions. you can simplify a fraction by dividing each number by the same factor. 2/12 = 1/6 because you divide the top and bottom by 2. now, you need ANOTHER response. if you can divide the top and bottom you can also multiply. 2/12 now multiply 2 and 12 by 2 and you get 4/24.
can anyone help me with this math question
The third is true
ok bye
lm'iranian
11years old
please help me solve this anyone! plz don’t guess just for points this was due a few weeks ago and i have to have good grade
Answer:
[tex] - 23[/tex]
Step-by-step explanation:
Substitute -3 for X in the expression then solve.
Answer:
-23
Step-by-step explanation:
They give us the variable's value, which is [tex]x=-3[/tex]. All we have to do from here is plug it into the expression that they gave us!
So, let's do exactly that! The expression that they gave us is [tex]5x-8[/tex], and we know the value of x because they gave it to us!
Let's plug it in.:
[tex]5(-3)-8[/tex]
Let's follow P.E.M.D.A.S. and our order of operations to determine what to do first. Since we have multiplication going on within parenthesis, let's do that first.
[tex]5(-3)=-15[/tex] because a negative number times a positive number equates to a negative number. Now, we have the following expression: [tex]-15-8[/tex]
Let's subtract this now! Remember, subtracting a number from another number is basically adding the opposite of the second number; essentially, you're following keep, change, flip. You keep the first number without doing anything to it, you change the sign of the operation, and you flip the sign of the 2nd number. Let's revise this problem now with these rules.: [tex]-15 + (-8)[/tex], now we have something that we can work with! Since both numbers are negative and are being added, we keep the sign, and just add their absolute value, leaving us with the expression being -23.
We want to find the zeros of this polynomial:
p(x) = (2x2 – 9x + 7)(x - 2)
Answer:
Step-by-step explanation: Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
p*(x)-((2*x^2-9*x+7)*(x-2))=0
STEP
1
:
Equation at the end of step 1
px - (((2x2 - 9x) + 7) • (x - 2)) = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 2x2-9x+7
The first term is, 2x2 its coefficient is 2 .
The middle term is, -9x its coefficient is -9 .
The last term, "the constant", is +7
Step-1 : Multiply the coefficient of the first term by the constant 2 • 7 = 14
Step-2 : Find two factors of 14 whose sum equals the coefficient of the middle term, which is -9 .
-14 + -1 = -15
-7 + -2 = -9 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -2
2x2 - 7x - 2x - 7
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-7)
Add up the last 2 terms, pulling out common factors :
1 • (2x-7)
Step-5 : Add up the four terms of step 4 :
(x-1) • (2x-7)
Which is the desired factorization
Equation at the end of step
2
:
px - (2x - 7) • (x - 1) • (x - 2) = 0
STEP
3
:
Equation at the end of step 3
px - 2x3 + 13x2 - 25x + 14 = 0
STEP
4
:
Solving a Single Variable Equation:
4.1 Solve px-2x3+13x2-25x+14 = 0
In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
We shall not handle this type of equations at this time.
Supplement : Solving Quadratic Equation Directly
Solving 2x2-9x+7 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
5.1 Find the Vertex of y = 2x2-9x+7
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 2 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 2.2500
Plugging into the parabola formula 2.2500 for x we can calculate the y -coordinate :
y = 2.0 * 2.25 * 2.25 - 9.0 * 2.25 + 7.0
or y = -3.125
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = 2x2-9x+7
Axis of Symmetry (dashed) {x}={ 2.25}
Vertex at {x,y} = { 2.25,-3.12}
x -Intercepts (Roots) :
Root 1 at {x,y} = { 1.00, 0.00}
Root 2 at {x,y} = { 3.50, 0.00}
3 Solving 2x2-9x+7 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 2
B = -9
C = 7
Accordingly, B2 - 4AC =
81 - 56 =
25
Applying the quadratic formula :
9 ± √ 25
x = —————
4
Can √ 25 be simplified ?
Yes! The prime factorization of 25 is
5•5
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 25 = √ 5•5 =
± 5 • √ 1 =
± 5
So now we are looking at:
x = ( 9 ± 5) / 4
Two real solutions:
x =(9+√25)/4=(9+5)/4= 3.500
or:
x =(9-√25)/4=(9-5)/4= 1.000
Expand the following expression by using the distributive method. 6(3b-4c)
Laura bought some books. She spent a total of $71 after a discount of $5 off of her total purchase. Each book cost $4. How many books did she buy?
Answer:
19. books
Step-by-step explanation:
thats a lot
Answer:
19 books
Step-by-step explanation:
4b-5=71
what is 62 ÷ 3186 I need to know?
Answer:
0.02
Step-by-step explanation:
Cube the following number
A. 1
B. 2
C. 4
D. 8
Answer: 1, 8, 64, 512
Step-by-step explanation:
1^3 = 1 * 1 * 1 = 1
2^3 = 2 * 2 * 2 = 8
4^3 = 4 * 4 * 4 = 64
8^3 = 8 * 8 * 8 = 512
3/2x+5=-3x-3 what is the value of x?
Find the original price of a pair of shoes if the sale price is $63 after a 30% discount.
Answer:
$90
Step-by-step explanation:
To find the original price, divide 63 by 0.7:
63/0.7
= 90
So, the original price is $90
Answer:
$90.00
Step-by-step explanation:
First of all let x be the price of the pair of shoes that you are trying to find.
next since we have 30percent off that price we have
x - 0.30x = 0.70x
which in turn is equal to 63 dollars
so our expression is
0.70x = $63
x = 63 / 0.70
= $ 90.00
In a recent game, Syler played 4 minutes of each period. The four periods
are each 16 minutes. What fraction of the game did Syler play? Can you
represent it as a percentage
Answer: 25%
Step-by-step explanation:
HELP IM BAD AT THESE KIND OF STUFF
Answer:
The total surface area is 782 inches
Step-by-step explanation:
I do not know the lateral answer sorry
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to this system of inequalities in the coordinate plane.
3y > 2x + 12
2x + y < -5
Please respond asap
Answer:
Hope this helps
Step-by-step explanation:
Find the measure of the largest angle
15x
24x
21x
Answer:
15€9 44090 4 lt pi jtnteu
Step-by-step explanation:
Nugyt merhaba Seher vakti geldi artık bu kadar güzel bir haber var 6sınıf merhaba hocam ben Sude ödevim tamam 44482644444 bir
What is the greatest common factor of 49, 62 and 80? OA) 1 OE) 2 OC) 3 OD) 5
Answer: A (1)
Step-by-step explanation:
The way to find a common factor is by dividing the given numbers by the largest possible multiple that still gives you a whole number
A
49/1=49
62/1=62
80/1=80
This is an option
B
49/2=24.5
62/2=31
80/2=40
This is not an option, 24.5 is not a whole number
C
40/3=16.333(repeating)
This is not an option, you are not given a whole number
D
49/4=12.25
This is also not an option, 12.25 is not a whole number
Answer
Our only possible answer is A-1
A subway car travels at a rate of 32 meters per second. How far does it travel in 16 seconds?
Please help i’m giving out brainliest || Q1
the answer would be a I'm my mind
PLEASE HELP if you help you like to play among us
Subtracting a number is the same as adding its opposite.
Use this understanding to complete each of the equations below.
CLEAR CHECK
Answer:
-5 - (-7) = -5 + -7
= 2
-5 - 7 = -5 + -7
= -12
Of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?
a. Graph A
b. Graph B
c. Graph C
d. Graph D
Answer:
Graph B
Step-by-step explanation:
the line is at some point perpendicular to the y-axis, there is no unique y value for this x value, which contradicts the definition of a function.
ABCD is a square.
Solve for x
Of the
44
people who started a math class meeting at
10
:
00
each morning, only
37
finished the class. What fraction of people finished the class?
Answer: .8409 or 37/44
Step-by-step explanation:
11. The table below shows the cost of comic books. Number of Comic Books Total Cost (dollars) 3 3.75 5 7 8.75 10 12.50 Based on the information in the table, which is the best prediction of the cost of 12 comic books?
Answer:
$15
Step-by-step explanation:
The unit rate or how much a comic book costs = total cost ÷ number of comic books
Using any given pair, let's use the first row (3, 3.75):
Unit rate = [tex] \frac{3.75}{3} = 1.25 [/tex]
This means a comic book cost $1.25.
Therefore, 12 comic books would cost:
12 × 1.25 = $15
The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is ý = -0.3694.5.
Video Games (Minutes) Time with Family (Minutes)
40 80
55 75
70 69
85 64
A) According to the line of best fit, the predicted number of minutes spent with family for someone who spent 36 minutes playing video games is 81.54.
B) Is it reasonable to use this line of best fit to make the above prediction?
1) The estimate, a predicted time of 81.54 minutes, is reliable but unreasonable.
2) The estimate, a predicted time of 81.54 minutes, is unreliable but reasonable.
3) The estimate, a predicted time of 81.54 minutes, is both unreliable and unreasonable.
4) The estimate, a predicted time of 81.54 minutes, is both reliable and reasonable.
Complete question :
The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is ý = -0.36x + 94.5.
Video Games (Minutes) Time with Family (Minutes)
40 80
55 75
70 69
85 64
A) According to the line of best fit, the predicted number of minutes spent with family for someone who spent 36 minutes playing video games is 81.54.
B) Is it reasonable to use this line of best fit to make the above prediction?
Answer:
81. 54
4) The estimate, a predicted time of 81.54 minutes, is both reliable and reasonable.
Step-by-step explanation:
Given that :
The equation of best fit is defined as :
ý = -0.36x + 94.5.
A.) Predicted number of minutes spent with family (y) for someone who spends 36 minutes playing games (x) will be :
x = 36
From the model :
ý = -0.36(36) + 94.5
y = - 12.96 + 94.5
y = 81.54
Hence.nunber of minutes spent with family = 81.54 minutes.
B.) The correlation Coefficient for the model is - 0.9993, which indicates a very strong negative relationship between both variables. Hence, using this fact, we can conclude that the prediction is reliable. From the data also, spending 36 minutes playing games means such individual will have more time than someone who plays games for 40 minutes, hence, the prediction is also reasonable.
What’s 1/4 +2/3 or 3/4+2/3
Answer:
1/4+2/3=11/12
3/4+2/3=17/12
Step-by-step explanation: