Simplify the expression to a + bi form:
(4 – 3i) - (9 - 71)
Answer:
66-3i
Step-by-step explanation:
(4-3i)-(9-71)
(4-3i)-(-62)
(4-3i)-62
66-3i
Heba ate 1/12 of a box of cereal. Now the box is 3/4 full
What fraction of a full box was there before Heba ate?
Answer:
5/6
Step-by-step explanation:
1/12 + 3/4 = 9/12
9/12 + 1/12 = 10/12
simplify 10/12
= 5/6
A function is a relation in which every input has exactly one output.
Which choice represents a function?
CLEAR CHECK
Inputs: negative 4, 5, 8, negative 5. Output: 4, 3, 9, negative 5). Negative 4 goes to 4 and 3. 5 goes to 3. 8 goes to 9. negative 5 goes to negative 5.
On a coordinate plane, a vertical line goes through x = 3.
A 2-column table with 7 rows. Column 1 is labeled x with entries 4, 3, 0, negative 8, 3, 4, 9. Column 2 is labeled y with entries 4, 2, negative 1, 7, negative 3, 5, 14.
(−3,4),(2,6),(0,3),(8,4)
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Answer:
On a coordinate plane, a vertical line goes through x = 3.
Step-by-step explanation:
I haven't looked at the other choices, but clearly this is a function
Answer:
will find at bottom
Step-by-step explanation:
A relation is a function of x if each value of x in the domain corresponds to exactly one value of y in the range. In other words, there should be no repeated values of x with different values of y.
Let's analyze each of the given tables to determine which one represents a function of x:
1. Table 1: In this table, we have x values of -1, 2, 2, and 3. Notice that x = 2 appears twice with different y values. This violates the definition of a function, so Table 1 is not a function of x.
2. Table 2: This table has x values of -8, -8, 1, and 1. Similar to the previous table, x = -8 and x = 1 appear twice with different y values. Therefore, Table 2 is not a function of x.
3. Table 3: In this table, all the x values are the same, which is -5. However, the corresponding y values are different (-9, 7, -9, and 2). Since each x value has a unique y value, Table 3 represents a function of x.
4. Table 4: This table consists of x values of -3, -2, 4, and 7. Each x value corresponds to a unique y value (-1, 5, 0, and -1). Therefore, Table 4 also represents a function of x.
To summarize, the relations that are functions of x are Table 3 and Table 4.
Multiply. What is the product?
[−2 3/11⋅(−4)]⋅(1 13/20)⋅(−10)
Answer:
- 5198/11
Step-by-step explanation:
If 1=3
2=3
3=5
4=4
5=4
Then, 6=?
Answer:
The answer can be literally anything.
Step-by-step explanation:
The answer can be literally anything. I can see most of the answers says 3 but, that is only one of the solutions. It is the answer when questions defines the relationship as number of characters, but the question never says that. All it says is, find me a relation which satisfies few values, and then find the relationship value at a new point.
Let us start by examining the question. So here is the question in mathematical terms:
Given:
f(1)=3, f(2)=3, f(3)=5, f(4)=4 and f(5)=4
Find f(6).
So if we assume the function to be f(x) then we know its value at 5 points.
Let’s say f(6)=K, so now we know it’s value at 6 points.
Now, given the value of a function at N points, we can always find a (N-1) degree polynomial which will be that function.
Now, you can put whatever value of K you want, and you will get corresponding set of coefficient vector which will satisfy the function values at the given points.
On a side note, I don’t consider this puzzle a good puzzle, since most of the people asking it expect only 3 as answer. They basically want you to limit the way you think, in a particular direction, which I think is not a very great idea.
Resource: http://mth.bz/fit/polyfit/findcurv.htm#06
It concludes that 6 = 3 for the given pattern, because in "six" has "3" letters.
What is the pattern in the reasoning?A pattern is a recurring series of occurrences or elements that can be used to identify and categorize various forms of data or information.
As per the question,
1=3
2=3
3=5
4=4
5=4
If we write "1" in a word then we will write "one" and if we count the letter it will give us "3".
If we write "2" in a word then we will write "two" and if we count the letter it will give us "3".
If we write "3" in a word then we will write "three" and if we count the letter it will give us "5".
Similarly, if we write "6" in a word then we will write "six" and if we count the letter it will give us "3".
Hence, 6 = 3.
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What is the value of 5³ ?
Answer:
125
Step-by-step explanation:
5^3 = 5 x 5 x 5
5 x 5 x 5 = 25 x 5
25 x 5 = 125
answer:
125
step by step explaination:
5³
5×5×5 = 125
Here's a question ~
can anyone give the explanation ?
Answer:
See belowStep-by-step explanation:
As per the question we have:
The y - intercept is b = -1The slope has same angle with x- and y - axis.This can be a function with the slope of m = 1 or m = - 1 as these lines must be perpendicular to each other and make 90°/2 = 45° or 45° + 90° = 135° angle with the x- or y- axis.
So the lines could be:
y = x - 1 ory = -x - 1Lines must be perpendicular to each other as they are cutting at y intercept -1
Slope intercept form of line
for slope -1
y=-x-1For slope 1
y=x-1
jika abcd adalah jajar genjang dengan koordinat titik A(-2,-1). B(3,-1) dan C (5,3) maka koordinat titik d adalah
a. D (3,0)
b. D ( 2,3)
c. D (-4,3)
d. D (0,3)
jumlah bilangan genap antara 0 dengan 51
a. 100
b. 650
c. 2500
d. 98
jumlah bilangan genap kelipatan 3 antara 20 dengan 100 adalah
a. 78
b. 120
c. 780
d. 13
1. D. (0,3)
2. B. 650
3. C. 780
Bener semua kok
semoga membantu.
kasi brainliest oi wkwkwk
ASAP PLS!!
-GIVING OUT BRAINLIEST
Answer:
The answer is (C)
Step-by-step explanation:
this is algebra 1 id appreciate it if you could help me thx!
The population of Hillsborough County in Florida in 2010 was 1,229,226 and the land
area was 1,020 square miles. The population increased by 9.7% in 2015.
Part 1: To the nearest whole number, find the population density, in people per
square mile, for Hillsborough County in 2010.
Part 2: To the nearest whole number, how much did the population density, in people
per square mile, increase from 2010 to 2015?
Answer:
About 1205.12352941 people per square mile in 2010
About 1329.36306853 people per square mile in 2015
Explanation:
take population and divide by land area
for 2015 pop do total pop divided by 9.7 plus total pop
Peter baked 18 cookies. He gave 2/3 of the cookies to his friend. How many cookies did Peter give to his friend
Answer:
12
thStep-by-step explanation:
Help please thank you!
Answer:
g(f(x)) = x
Yes, the functions are inverses.
Step-by-step explanation:
Hi there!
We're given:
[tex]f(x) = 8x-7[/tex]
[tex]g(x)=\displaystyle\frac{x+7}{8}[/tex]
To solve for g(f(x)), plug f(x) into g(x) as x:
[tex]g(f(x))=\displaystyle\frac{(8x-7)+7}{8}\\\\g(f(x))=\displaystyle\frac{8x-7+7}{8}\\\\g(f(x))=\displaystyle\frac{8x}{8}\\\\g(f(x))=x[/tex]
Because g(f(x)) = x, the two functions are inverses.
I hope this helps!
Using suitable property, find the value of 689 × 147- 689 × 47
and mention the property used.
Answer:
Step-by-step explanation:
689×147-689×47
=689(147-47)
=689(100)
=689×100
=68900Need help with question 1 and 2
can anybody answer this? 3/5 x 25
Answer:
15
Step-by-step explanation:
Answer:
15
The answer is 15 (if 3/5 is a fraction)
Find the value of X.
Answer:
Step-by-step explanation:
∠K = ∠c
∠K = 3x - 5
∠K + ∠M + ∠L = 180 {angle sum property of triangle}
3x -5 + 40 + 2x = 180
3x + 2x - 5 + 40 = 180
5x + 35 = 180
5x = 180 - 35
5x = 145
x = 145/5
x = 29
Can someone plsss help me with the circled question tysm if u doo :((
Answer:
4×sqrt(5) inches
Step-by-step explanation:
Pythagorean theorem states that (for right triangles) if you square each shorter side and add those together, you will get the sum of the longest side (hypotenuse) squared.
This is commonly written as:
a^2 + b^2 = c^2, where c is the hypotenuse.
((For right triangles this will always be opposite the 90° angle.))
Since you know one of the shorter sides and the hypotenuse, rewrite the equation as such:
c^2 - b^2 = a^2, where a is the unknown length
This goes to:
sqrt(c^2 - b^2) = a
sqrt((12in)^2 - (8in)^2) = a
sqrt(144sqin - 64sqin) = sqrt(80sqin) = a
This simplifies to:
sqrt(16sqin)×sqrt(5sqin) = 4in×sqrt(5sqin) = a
Write an
exponential function in the form y = ab^x
that goes through points (0,13) and (3,832).
Answer:
y = 13 × [tex]4^{x}[/tex]
Step-by-step explanation:
Substitute the given values into the exponential
Using (0, 13 ) , then
13 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , so
a = 13
y = 13 [tex]b^{x}[/tex]
Using (3, 832 )
832 = 13 b³ ( divide both sides by 13 )
64 = b³ ( take cube root of both sides )
b = [tex]\sqrt[3]{64}[/tex] = 4
The exponential function is
y = 13 [tex](4)^{x}[/tex]
LCM. Problem about how lcm works. picture in comments.
What is 75 times 38 to the power of 2
Graph f(x) = -2/3x - 3
Answer:
go to desmos. com there's a free graphing calculator that helps
find the area of the following rectangle
Answer: x+8
Step-by-step explanation:
Drag a statement or reason to each box to complete this proof.
Given: the measure of angle A C D equals 60 degrees. Prove: triangle A B C is an obtuse triangle. Art: A triangle A B C. Side B C of the triangle is extended as a ray through point D.
--
check images below!
Answer: 2. Linear pair postulate
4. 60 + mACB=180
5. mACB=120
6. definition of obtuse angle
The value of straight angle ∠BCD = 180° thus the angle ∠ACB = 180°- 60° = 120° therefore, the given triangle ABC is the obtuse triangle.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
As per the given triangle ABC with extended line CD.
Since CD is colinear with BC, therefore, BCD will be a single straight-line segment.
The ∠BCD is straight angle so it will be 180°.
∠BCD = ∠ACB + ∠ACD
∠ACB + 60 = 180
∠ACB = 180 - 60 = 120°.
An obtuse triangle is a triangle whose one or more interior angle is greater than 90°.
Since∠ACB > 90° therefore triangle ABC is an obtuse angle.
Hence "The value of straight angle ∠BCD = 180° thus the angle ∠ACB = 180°- 60° = 120° therefore, the given triangle ABC is the obtuse triangle".
For more about triangles,
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4x(3x - 1) - 2(3x + 1) - (x + 3)
Answer:
[tex]12x^{2} -11x-5[/tex]
Step-by-step explanation:
1) Distribute
[tex]4x(3x-1)-2(3x+1)-(x+3)\\12x^{2} -4x-2(3x+1)-(x+3)[/tex]
2) Distribute
[tex]12x^{2} -4x-2(3x+1)-(x+3)\\12x^{2} -4x-6x-2-(x+3)[/tex]
3) Distribute
[tex]12x^{2} -4x-6x-2(x+3)\\12x^{2} -4x-6x-2-x-3[/tex]
4) Subtract the numbers
[tex]12x^{2} -4x-6x-2-x-3\\12x^{2} -4x-6x-5-x[/tex]
5) Combine like terms
[tex]12x^{2} -4x-6x-5-x\\12x^{2} -11x-5[/tex]
the difference between 4x and 2x is 70. Find the 2x
Answer:
2x = 70
Step-by-step explanation:
4x - 2x = 70
2x = 70
x = 70/2
x = 35
Please help me, write the step by step explanation plz?
Answer:
i think the answer is 171,500 i don't know i am trying.
Step-by-step explanation:
first you multiply 35 times 3 you will get 85,750 then you multiply 10 times 2 you will 20 and multiply both of them and you will get 171,500.
Mr. Chen hires an electrician to install the light fixtures for an addition to his house. The electrician charges an initial fee plus an hourly rate for the number of hours it will take to complete the installation. The function y=120+55x can be used to model the total cost of the job, in dollars. What is the independent variable in this situation, and what does it represent?
Step-by-step explanation:
y=120+55x
here,X = -24/11
Y=120
don't have time or else I would have shown the details
The independent variable in this situation is x and it represents the number of hours taken for installation
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Mr. Chen hires an electrician to install the light fixtures for an addition to his house.
The function y=120+55x can be used to model the total cost of the job, in dollars
The electrician charges an initial fee plus an hourly rate for the number of hours it will take to complete the installation.
initial fee=120
Here x is the independent variable which represents the number of hours taken for installation
Hence, the independent variable in this situation is x and it represents the number of hours taken for installation
To learn more on Equation:
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Graph the inequality. x < 2
Step-by-step explanation:
there u have it, since y is 0, we make a straight line that passes through 2 and shade the numbers that are <2
A dump truck can hold 2¼ tons of gravel. The pay loader loading the truck puts 750 pounds of gravel in the truck at one time. How many loads does the pay loader need to dump in the truck before it is full?
Answer:
6 loads would be required to fill the truck with 2¼ tons
Step-by-step explanation:
1 ton= 2000 pounds
2¼ tons= 4500 pounds
4500/750=6
Please allow me to know this helped by clicking thank you, rating or brainly.
Thank you,
Miss Hawaii
Answer:
6 loads
Step-by-step explanation: