Type the correct answer In each box.
What are the values of x and y that make the equations true?
Equation A
(x + yi) + (4 – 7i) = 3 - 4i
Equation B (x + yi) - (-6 + 14i) = 18 + 2i
In equation A, x =
and y =
In equation B, r =
and y =
9514 1404 393
Answer:
A: x = -1 and y = 3
B: x = 12 and y = 16
Step-by-step explanation:
In each case, you can add the opposite of the constant to find the variable.
Equation A
(x +yi) +(4 -7i) = (3 -4i)
(x +yi) +(4 -7i) -(4 -7i) = (3 -4i) -(4 -7i) . . . . . add -(4-7i) to both sides
x +yi = (3 -4) +(-4-(-7))i = -1 +3i
x = -1 and y = 3
__
Equation B
(x +yi) -(-6 +14i) = (18 +2i)
(x +yi) -(-6 +14i) +(-6 +14i) = (18 +2i) +(-6 +14i) . . . . . add (-6 +14i) to both sides
x + yi = (18 -6) +(2 +14)i = 12 +16i
x = 12 and y = 16
Answer:
In equation A: x=-1 and y=3
In equation B: x=12 and y=16
Step-by-step explanation:
{(-3.7).(-5, -8), (-6, -1). (-9, -1), (0, -3) }
Domain:
Range
Function?
State if it is a function or not
Answer:
The domain is the set of all the values of x, so it would be -3, -5, -6, -9, 0. The range would be every set of y, so it would be 7, -8, -1, -3. Finally, this relation is indeed a function.
Domain: -3, -5, -6, -9, 0
Range: 7, -8, -1, -3
Is it a function? Yes
Which of the following statements are not proportional?
5/4 = 10/8
7/5 = 35/25
2/3 = 12/18
4/6 = 9/12
Answer:
4/6 = 9/12 is not proportional
Step-by-step explanation:
3. To make purple frosting, you start with white frosting.
Then you add 2 drops of red food coloring and 3 drops of
blue food coloring. If 4 red drops come out with the first
squeeze, how many blue drops should you add?
==================================================
Explanation:
We basically mix red and blue to get purple. The ratio needed is 2 parts red, and 3 parts blue. We can shorten this by writing 2:3
Note how we can double both parts of the ratio to get 4:6, showing that 4 drops of red correspond to 6 drops of blue, which is the answer we want.
------------------
Another approach:
x = some positive real number
(2 parts red)/(3 parts blue) = (4 parts red)/(x parts blue)
2/3 = 4/x
2x = 3*4 .... cross multiply
2x = 12
x = 12/2 .... divide both sides by 2
x = 6
So 6 drops of blue go with 4 drops of red.
Which of the following is equivalent to 75/100? A 2/3 B 10/15 C 25/50 D 15/20
Answer:
D. 15/20
Step-by-step explanation: Because if it is 100 divide by 5 then it equals 20 and since 75% is 3/4 then 15/20 is your answer.
Answer:
D 15/20
Step-by-step explanation:
If 47 divided by a power of 10 to get 0.047 what power of 10 was it divided by
Answer:
0.01
Step-by-step explanation:
cause 47 x 0.01 + 0.047
The power of 10 that you would dived it by would be 1,000.
Because here we have 3 option 10, 100, and 1,000. So what we would do is divide each one to that main number "47"
47 ÷ 10 = 4.747 ÷ 100 = 0.4747 ÷ 1,000 = 0.047Learn more at https://brainly.com/
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35 points plz help
Evaluate −4(14)6x for x=13.
Enter your answer as a fraction in simplest form in the box.
Answer:
-15228
Step-by-step explanation:
Given the expression :
-4(14)6x for X = 13
To evaluate ; simply substitute 13 for X in the equation :
-14(14)6(13)
-14 * 14 * 6 * 13 = - 15228
14. The area of a rectangle is 375 square inches and it’s perimeter is 80 inches. Find both the length and width.
Answer:
Length [tex]=25[/tex] inches
Width [tex]= 15[/tex] inches
Step-by-step explanation:
Let [tex]l[/tex] = length of rectangle, [tex]w[/tex] = width of rectangle
Given the area and the perimeter of the rectangle, we can write:
[tex]lw = 375[/tex]
[tex]2l+2w=80[/tex]
So:
[tex]l+w = 80\div2[/tex]
[tex]=40[/tex]
[tex]l=40-w[/tex]
Now, we can use substitution to find the value of [tex]w[/tex]:
[tex]lw = 375[/tex]
[tex](40-w)w = 375[/tex]
[tex]40w-w^2 = 375[/tex]
[tex]375+w^2-40w = 0[/tex] (Quadratic equation)
[tex](w-15)(w-25) = 0[/tex]
∴ [tex]w = 15, 25[/tex]
We can use substitution again to find the value of [tex]l[/tex]
[tex]lw = 375[/tex]
[tex]l=375\div w[/tex]
[tex]=25,15[/tex]
∵ Length usually refers to the longer side of a rectangle, ∴ length [tex]=25[/tex] inches and width [tex]=15[/tex] inches.
Hope this helps :)
HELP ASAP
what are the root functions?
In the diagram m<3 = x +30 and m<4= 2x - 80. What is the measure of angle 3?
A)50
B)80
C)110
D)140
Answer:
110,........................
Estimate 32% of 19.
Answer: 6.08.
Explanation: 32% × 19 = 6.08.
6(x−2)=−18
x=?
Anybody know what X is equal to?
If you know a little bit about this question, thank you for your help.
(If the answer is right, this person will be the smartest.)
Bea's catering charges $3 per person and a $60 clean-up fee to cater banquets. Write an equation to find the number of students (n) that could attend the French clubs banquet if they had a budgeted $200 for catering
Answer:
The required equation will be:
200 = 3n + 60Step-by-step explanation:
We know the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where 'm' is the slope or rate of change and 'b' is the y-intercept of the equation
Let 'n' represents the number of students (n).Let 'c' represents the cost budget.Given that Bea's catering charges $3 per person.
Thus, the slope or rate of change = m = 3 dollars per personGiven that the clean-up fee to cater banquets = $60
In other words, $60 is the initial condition or y-intercept.
Thus, the y-intercept b = 60Given that the cost budget = c = $200
Thus, the equation becomes
c = mn+b
substituting c = 200, m = rate of cgange = 3, b = 60
200 = 3n + 60 ∵ comparing with y = mx+b
Thus, the required equation will be:
200 = 3n + 60The equation that determines the no of students should be 200 = 3n + 60
Equation need to be used:Here we assume n be the number of students
And, c be the the cost budget.
So, we know the equation should be formed by applying the following expression
c = mn+b
Here c = 200, m = r = 3, b = 60
Therefore, the equation is 200 = 3n + 60
Hence, The equation that determines the no of students should be 200 = 3n + 60
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Which statements describe one of the transformations performed on f(x) =x^2 to create g(x)=2x^2+5?
A: A translation of 5 units to the right
B: A vertical stretch with a scale factor of 1/2
C: A vertical stretch with a scale factor of 2
D: A translation of 5 units up
Answer:
do u know the answer ik it's five units up but that it
Answer: a vertical stretch with a scale factor of 2. and a translation of 5 units up.
Step-by-step explanation:
Solve the system using substitution.
y - 3x = 1
2y - x = 12
([?], [])
Answer:
(2, 5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y - 3x = 1
2y - x = 12
Step 2: Rewrite Systems
y - 3x = 1
Add 3x on both sides: y = 3x + 1Step 3: Redefine Systems
y = 3x + 1
2y - x = 12
Step 4: Solve for x
Substitution
Substitute in y: 2(3x + 1) - x = 12Distribute 2: 6x + 2 - x = 12Combine like terms: 5x + 2 = 12Isolate x term: 5x = 10Isolate x: x = 2Step 5: Solve for y
Define equation: 2y - x = 12Substitute in x: 2y - 2 = 12Isolate y term: 2y = 10Isolate y: y = 5Eight friends go to the movies. The price for each ticket is
$7.99. One person thinks the total for all eight people will
be around $50.00.
Is this a reasonable estimate? Why?
OA. Yes, a reasonable estimate is around 5- $10 = $50.
B. No, a reasonable estimate is around 5 $8 = $40.
C. No, a reasonable estimate is around 8 $8 = $64.
OD. No, a reasonable estimate is around 8-$9 = $72.
Answer:The answer is C....
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
28.2% of 92 this is for math
Hey there!
Usually when you come across the word “of” in mathematical problems , it simply means that you’re multiplying
So we can simply multiply 28.2% from 92
28.2% = 28.2/100 = 0.282
New equation
0.282 * 92 = the answer
0.282 * 92 = 25.944
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
if f = 3, g = -4 and h = -5
[3-h]+13
What is the missing numbers to this equation please
? - (? × ?)=90
Answer:
-0(10 x 9)=90
A store buys purses for $24.50 and then marks them up 25%. The store then discounts any purses that do not sell in the first month by 10%. Find the sales price of the purse that do not sell in the first month
Answer:$27,57
1)find out how much wallets cost in the first month:
24,50 -100%
х - 125%
х= 24,50*125/100 ≈ 30,63
2)we will find out how much the wallets cost after the price is reduced by 10%:
30,63 - 100%
х -90%
х=30,63*90/100 ≈ 27,57
Step-by-step explanation:
Use mental math to solve the equation.
5) C-(-15) = 38
7) Write a pairs of negative intogoro
Plezzzzzwzzzzzzzz help
Answer:
[tex] 3 - a [/tex]
Step-by-step explanation:
Given that when you add two numbers together the result is 3.
The greater of the number is given as a.
Let "x" represent that lesser number.
Thus:
[tex] a + x = 3 [/tex]
To make x the subject of the formula. Subtract a from both x.
[tex] a + x - a = 3 - a [/tex]
[tex] x = 3 - a [/tex]
Therefore, the expression that represents the lesser number, x, is:
[tex] 3 - a [/tex]
Which statement can you conclude is true from the given information?
Answer:
angle IJA is a right angle
Felipe sold t-shirts and hats at a festival. He made a $5 profit for each t-shirt he sold. He also made a profit of $40 from selling hats. If he made a total profit
$125, how many t-shirts did he sell?
Answer:
He sold 17 shirts at the festival.
The total number of t-shirts Felipe sold is 17 t-shirts.
Consider that the number of t-shirts Felipe sold be "x".
Since He made a profit of $5 for each t-shirt sold. Therefore, his profit from selling t-shirts is 5x. also made a profit of $40 from selling hats.
His total profit is given as $125.
So we can write the following equation:
5x + 40 = 125
Subtracting 40 from both sides;
5x = 85
Dividing both sides by 5, we get:
x = 17
Therefore, Felipe sold 17 t-shirts.
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2 L = _____ ml can someone help? :((
Answer:
2000
Step-by-step explanation:
Answer:
2000 ml
Step-by-step explanation:
Jake decides to mow lawns for the first two weeks in June to earn money to buy a new bicycle . If the bicycle cost $153.73 and jake chargers $10.25 to mow each lawn, how many lawns will he need to mow in two weeks to buy the bicycle?
Answer:
14
Step-by-step explanation:
What is the answer to this radical functions equation ASAP
What is 4 2/5 times 2 2/3
Which expression is equivalent to 42 + 12? 7(6+5) 2(40+6) 6(7+2) 10(32+2)
Answer:
6(7+)
Step-by-step explanation:
1) Start by solving the original equation
42 + 12 = 54
2) Solve the other equations until you find a match
2a) Start with what's in the parenthesis
7(6+5) = 7(11) = 77
2b)
2(40+6) = 2(46) = 92
2c)
6(7+2) = 6(9) = 54
This is your answer
2d)
10(32+2) = 10(34) = 340
Answer: 6(7 +2)
Step-by-step explanation:
Calculate 42 + 12, which is 54.
Calculate 7(6 + 5), which is 7 * 11 = 77.
Calculate 2(40 + 6), which is 2 * 46 = 92.
Calculate 6(7 + 2), which is 6 * 9 = 54.
Calculate 10(32 + 2), which is 10 * 34 = 340.
And, we can conclude the expression 6(7 + 2) is equivalent to 42 + 12.
!!! time sensitive please answer !!!
consider the sequence below. 3, 1, 1/3, 1/9
select the explicit function which defines the sequence
A. f(n) = 1/3 • 2^(n-1)
B. f(n) = 2 • (1/3)^(n-1)
C. f(n) = 3 • (1/3)^(n-1)
D. f(n) = 1/3 • 3^(n-1)