Answer:
- 1 - 5i
Step-by-step explanation:
note that i² = - 1
Given
(2 - 3i)(1 - i) ← expand using FOIL
= 2 - 2i - 3i + 3i²
= 2 - 5i - 3
= - 1 - 5i
Answer: -1 - 5i
Step-by-step explanation: It's important to understand that we
can work this problem as if we were multiplying two binomials together.
In other words, we can use the F.O.I.L. method. First, Outer, Inner, Last.
The product of the first terms in each complex number is 2.
The product of the outer terms is -2i.
The product of the inner terms is -3i.
The product of the last terms is 3i².
Next, we combine our like terms. So -2i + -3i = -5i.
Also, i² is -1 so our last term is just 3(-1) or -3.
So we have 2 - 5i + (-3) or 2 - 5i - 3 which is -1 - 5i.
Given the function f(x) = -2c + cx - x^2? and f^-1(5) = -1, find c.
Answer:
c = - 2
Step-by-step explanation:
Given inverse function
[tex]f^{-1}[/tex] (5) = - 1 , then
f(- 1) = 5 , that is
- 2c + c(- 1) - (- 1)² = 5
- 2c - c - 1 = 5
- 3c - 1 = 5 ( add 1 to both sides )
- 3c = 6 ( divide both sides by - 3 )
c = - 2
What is the range of the given data set? OA) 30 OB) 32 OC) 37 OD) 40
Answer:
Range = maximum number - minimum number
maximum number = 99minimum number = 62Range = 99 - 62 = 37
Answer:
37
Step-by-step explanation:
The range is the difference between the highest number and the smallest number.
Looking at the stem and leaf plot we can identify the largest and smallest number
Largest number: 99
Smallest number: 62
If range = largest number - smallest number then range = 99 - 62 = 37
Find the equation of a line perpendicular to 8x - 2y = 4 and passes through the point (4, 3).
y = -2x-3
Lines that are perpendicular have slopes that are negative reciprocals of each other. Meaning, if a line has slope , then a line perpendicular to this has slope . That means the slope of our perpendicular line is
The equation of the line that is perpendicular to 8x - 2y = 4 and passes through the point (4, 3) is y = (-1/4)x + 4.
To find the equation of a line that is perpendicular to the line 8x - 2y = 4 and passes through the point (4, 3), we can use the fact that the slopes of perpendicular lines are negative reciprocals of each other.
First, let's rewrite the given equation in slope-intercept form (y = mx + b), where m represents the slope:
8x - 2y = 4
-2y = -8x + 4
Divide both sides by -2:
y = 4x - 2
The slope of the given line is 4.
The slope of a line perpendicular to this line would be the negative reciprocal of 4, which is -1/4.
Now, we have the slope (-1/4) and a point (4, 3). We can use the point-slope form of a linear equation:
y - y₁ = m(x - x₁)
Substituting the values, we have:
y - 3 = (-1/4)(x - 4)
Expanding and simplifying, we get:
y - 3 = (-1/4)x + 1
Adding 3 to both sides, we have:
y = (-1/4)x + 4
To learn more about equation click on,
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find the ratio of Rs 20 and 900
Answer:
1 : 45
Step-by-step explanation:
Given
Rs 20 and 900 ( divide both by 20 )
= 1 : 45
If C.P. = Rs. 480, S.P. =Rs.528 find profit and profit percent
In this question first you should find profit amount by using formula and you should use profit amount in profit percentage formula then you should calculate it
HELP ME PLEASE I NEED HELP
Consider the end behavior of the function g(x) = 4|x − 2| − 3.
As x approaches negative infinity, f(x) approaches POSITIVE OR NEGATIVE infinity.
As x approaches positive infinity, f(x) approaches POSITIVE OR NEGATIVE infinity.
Answer:
Step-by-step explanation:
This is a narrower-than-normal absolute value graph, which is a v-shaped graph. It's pointy part, the vertex, lies at (2, -3) and it opens upwards without bounds along both the positive and negative x axes. Therefore, as x approaches negative infinity, f(x) or y (same thing) approaches positive infinity. As x approaches positive infinity, f(x) approaches positive infinity.
(x-4)°=1
giải hộ em với ạ
Answer: 5
Step-by-step explanation:
⇒ (x - 4) = 1
⇒ x = 1 + 4
⇒ x = 5
Therefore value of x = 5
Answered by Gauthmath must click thanks and mark brainliest
Geometry, please answer question ASAP
Answer:
Triangle ACB =~ triangle DFE, by adding 6 units to each side of both triangles their relationship will not change. They are still similar.
Step-by-step explanation:
The answer isn't great in all honesty but it's been a long time since I took geometry and I don't 100% remember the proper way of stating it. Though I am 100% sure they stay similar.
Sorry couldn't be of more help but figured something was better then nothing
Not sure how to do this! I’m supposed to find the area of each shape, but the slits in the shapes are confusing me and I’m not too sure how to do these problems!
sorry i don't know answe're of this question
The total number of cupcakes soldduring 5 days was 2087. The number of cupcakes sold by the shop on Thursday was 3 times the cupcakes sold on Monday. How many cupcakes were sold on Thursday?
Answer:
1252
Step-by-step explanation:
We're assuming that the same amount of cupcakes were sold each day.
2087/5 = 417.4
417.4 x 3 = 1252.2
Since we can't sell fractions of a cupcake, 1252 were sold on Thursday.
What is the area of the following circle?
Answer:
[tex]16\pi\:\mathrm{units^2}\text{ or }50.24\:\mathrm{ units^2}[/tex]
Step-by-step explanation:
The area of a circle with radius [tex]r[/tex] is given as [tex]A=r^2\pi[/tex].
In the question, we're given [tex]r=4[/tex] and asked to solve for [tex]A[/tex].
Substituting [tex]r=4[/tex] into [tex]A=r^2\pi[/tex], we get:
[tex]A=4^2\pi,\\A=\boxed{16\pi\:\mathrm{units^2}}[/tex]
If we use [tex]\pi=3.14[/tex] as mentioned in the question, we would have:
[tex]A=16\pi=16\cdot 3.14=\boxed{50.24\:\mathrm{units^2}}[/tex]
What is 73+73+73+73+73+73+73+73+73+73+73+73+73+73+73+73+73+73+73+73+73=
Answer:
1533
Step-by-step explanation:
73x21= 1533
Answer:
73+73+73+73+73+73+73+73+73+73+73+73+73+73+73+73+73+73+73+73+73
=73x21=1533
Step-by-step explanation:
there are x boys and y girls at the camp.how many children are at the camp altogether?
(EXPRESS YOUR ANSWER IN TERMS OF X AND Y )
there are x boys and y girls at the camp.how many children are at the camp altogether?
(EXPRESS YOUR ANSWER IN TERMS OF X AND Y )
Answer;
no.of boys = x
no.of girls = y
total no.of children in camp = no.of boys + no.of girls
= x + y..........
Answer:
total children = x+y
Explanation:
The total numper of children at the camp would be the sum of the total number of boys and the total number of girls.
Help pls will give brainliest
Answer:
b
Step-by-step explanation:
area of triangle = 1/2 x c x d =cd/2
area of semicircle = 1/2 x π x r^2 = 1/2 x π x (a/2)^2 = 1/2 x π x a^2/4 =πa^2/8
area of shape = area of triangle + area of semicircle
x = 3
x = 5
x = 0
x = 2
Answer:
x=2 is incorrect
Step-by-step explanation:
Y(2)=(3/4)*x^2=(3/4)*4=3
HURRY I NEED TO KNOW.... what term can you add to 5/6)x -4 to make it equivalent to 1/2x-4?
Answer:
(-1/3)x
Step-by-step explanation:
You can either solve this algebraically or solve it by testing one possible answer at a time.
First example: To (5/6)x - 4, add (-1/3)x. Result: (3/6)x - 4. This is correct.
The correct answer is the first one: (-1/3)x.
Find the nth term of each of the sequences.
(a) 16, 19, 22, 25, 28, ...
(b) 1,3,9,27,81,...
Answer:
a) 16, 19, 22, 25, 28, 31, 34, 37, 40
b) 1, 3, 9, 27, 81, 243, 729, 2187
Explanation:a) Add 3 on every number.
b) Multiply every number by 3.
Chi needs to simplify the expression below. (1.25 -0.4)-7+4x3 Which operation should she perform first?
I need an answer quickly
Answer:
She should first perform the operation in the parentheses, you can reference the order of the operations based on PEMDAS.
Step-by-step explanation:
1. parentheses operations
2. multiply 4 x 3
3. add the value you get from the parentheses with -7
4. with that value add it to the product of 4 and 3
Hope that helped! :)
Answer:
Subtraction
Explanation:-
[tex]( 1.25 -0.4) \div7+ 4 \times 3[/tex]
Using BODMAS Rule:-
BracketsOrdersDivisionMultiplicationAdditionSubtractionIn bracket, the operation subtraction should be performed first .
Tim works as a server in a restaurant.
A
group
for $112.50. They leave Tim a tip of 20%.
Another group at Table 15 have a bill of
$142.75 and leave a 15% tip. Which table
of people at Table 22 have a bill
left Tim the greater tip
Answer:
The first group left a greater tip
Step-by-step explanation:
The first group left a tip of 20%. 20% of 112.5 is 22.5
The first group left a tip of 15%. 15% of 142.75 is 21.4125. Round to the nearest hundredth -> 21.41.
Therefore, the first group left a greater tip
I hope this helps!
pls ❤ and give brainliest pls
In right triangle ABC, AB = 3 and AC = 9. What is the measure of angle B to the nearest degree?
Answer:
90 degrees
Step-by-step explanation:
see image
make x A
y B
z C
AB=3 (given)
AC=9 (given)
measure of angel B or y, is 90
if
x= A
y= C
z= B
then the hypotenuse would be shorter than one of the legs
3<9
so B has to be the right angle (90 degrees)
Which of the following is a parent function?
O A. f(x) = e*
O B. f(x) = 2.34
O x
C. f(x) = x4 +3
O D. f(x) = 2e2x
Answer:
[tex]f(x) = e^x[/tex]
Step-by-step explanation:
Given
Options (a) to (d)
Required
Which is a parent function
A parent function is such that has a single term without coefficients
From the list of given options
[tex]f(x) = e^x[/tex] suits the above definition
Other options (b) to (d) either have coefficients, or have multiple terms
TRIGONOMETRY
Could someone please help me with 5.2 please...it would really help alot:)
sin(x+y) - sin(x-y) - 1 = cos(2x)
sin(90) - sin(x-y) - 1 = cos(2x)
1 - sin(x-(90-x)) - 1 = cos(2x)
-sin(2x-90) = cos(2x)
-1*(sin(2x)cos(90) - cos(2x)sin(90)) = cos(2x)
-1*(sin(2x)*0 - cos(2x)*1) = cos(2x)
-1*(0 - cos(2x)) = cos(2x)
-1*(-cos(2x)) = cos(2x)
cos(2x) = cos(2x)
This confirms the identity is true.
Notice that throughout this proof, I only changed the left hand side.
On the 5th line, I used the identity sin(A-B) = sin(A)cos(B)-cos(A)sin(B).
The foot of a ladder is placed 10 feet from a wall. If the top of the ladder rests 13 feet up on the wall, find the length of the ladder.
What is the length of CD
Answer:
Step-by-step explanation:
3(x-2)
Answer:
CD = 7
Step-by-step explanation:
CD and GI are of same lenghth so
3x - 6 = x + 8
transpose
3x - x = 8+6
2x = 14
x = 14/2
x = 7
A wholesaler purchased an electric item for Rs 2,700 and sold to retailer at
10% profit. The retailer sold it at 20% profit to a consumer. How much did the
consumer pay for it.
PLZ PLZ HELP.......
Step-by-step explanation:
10 % of 2700 = 270
so he had 2970 rupee
20% of 2970 = 594
so customer have to pay 2970 + 594 = 3564
I NEED HELP ASAP!!! i dont understand
Answer:
b
Step-by-step explanation:
A parabola represents a quadratic equation. For a point called the focus and a line called the directrix, the distance from each point of the parabola to the focus is equal to its distance to the directrix. For example, if the directrix of the parabola was y=0 and the focus was (1,1), the distance between each point on the parabola to (1,1) would be equal to its distance from the line y=0.
For a parabola that has a horizontal axis of symmetry (or when y² is in the equation rather than x²), one way to write its equation is of the form
(y-k)² =4p(x-h), where (h,k) is the vertex. Now, we can try to match up this form with the equation we have,
y² = 24x
(y-k)² = 4p(x-h)
We can start by setting both sides with y equal to each other, as well as both sides containing x
y² = (y-k)²
square root both sides
y = y-k
k=0
24x = 4p(x-h)
divide both sides by 4
6x = p(x-h)
expand
6x = p*x - p*h
Because p*h does not contain an x value, we can say
6x = p * x
p = 6
6x = p*x - p*h
6x = 6x-6*h
subtract 6x from both sidex
6*h=0
h=0
Our equation is thus
y= 4(6)(x), with our vertex being (0,0) = (h,k)
The directrix is equal to x=h-p, and with p being 6, our directrix is thus
x=0-6 = -6
x=-6
can someone help me with this?
Answer:
The answer is 660
Step-by-step explanation:
30×2200÷100= 660
Answer:
660
Step-by-step explanation:
to know 30%
2200÷10×3=660
What is the slope of the line that contains the points (9,-4) and (1,-5)? O A. 8 O B. - O c. 1 1 O D. 8
Answer:
1/8
Step-by-step explanation:
-5-(-4)/1-9
On a separate piece of graph paper, graph y=-Ixl +3 then click on the graph until the correct one appears.
Answer:
That is the graph for y = -|x| + 3
12. PLEASE HELP ME
Which of the following are the coordinates of the vertex of y= x2 - 10x + 2?
A. (–10, 2)
B. (2, –10)
C. (–5, 23)
D. (5, –23)
Answer:
I think b no. is the correct answer
Answer:
D. (5, –23)
Step-by-step explanation:
The vertex is in essence the turning point of the parabola y = x² − 10x + 2
the x coordinate of the turning point =
=
= 5
when x = 5, y = (5)² - 10(5) + 2
= -23
Thus coordinate or vertex is ( 5, -23)
5 right 23 down
