Answer:
sure send it over lol
Step-by-step explanation:
29. Which of the following expressions will result in a real answer after being simplified? Select all that apply.
A. (4+5i)(4-5i)
B. (4+91)(41-9)
C. (3+2i)(3-2i)
D. (2i+5i) (21-3)
E. (312+7i) (312-7i)
F. (3i2+7i)(312+7i)
Answer: A, B, C, and E
Step-by-step explanation:
If both sides are real numbers, then the product will be a real number.
If in at least one of the sides we have a complex number, then the product will be real if:
The other number is zero.
The other number is the conjugate of the first.
This is when:
Suppose we have a number:
z = a + b*i
The conjugate will be:
w = a - b*i
And the product between them is:
(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2
Then the options that will have a real answer are:
A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41
B. (4 + 91)*(41 - 9) = 3040
C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13
E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393
Given: f(x) = x - 7 and h(x) = 2x + 3
Write the rule for f(h(x))
Answer:
2x - 4
Step-by-step explanation:
f(x) = x - 7
= 2x + 3 - 7
= 2x - 4
PLS i need help !
Rewrite the equation in vertex form and identify the vertex, the axis of symmetry, and the y-intercept. y=-2x^2+12x-26
Answer:
The equation of the polynomial in vertex form is [tex]y +8= (-2)\cdot (x-3)^{2}[/tex], its vertex is [tex](h,k) = (3, -8)[/tex].
The expression of the axis of symmetry is [tex]x = 3[/tex].
The y-intercept of the function is -26.
Step-by-step explanation:
The vertex form of the second order polynomial is defined by the following expression:
[tex]y-k = C\cdot (x-h)^{2}[/tex] (1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]h,k[/tex] - Coordinates of the vertex, dimensionless.
[tex]C[/tex] - Vertex constant, dimensionless.
Let [tex]y = -2\cdot x^{2}+12\cdot x - 26[/tex], then we proceed to present the produre for the determination of the vertex form:
1) [tex]y = -2\cdot x^{2}+12\cdot x - 26[/tex] Given
2) [tex]y = (-1)\cdot (2\cdot x^{2})+(-1)\cdot (-12\cdot x) + (-1)\cdot (26)[/tex] [tex](-a)\cdot (-b) = a\cdot b[/tex]/[tex](-a)\cdot b = -a\cdot b[/tex]
3) [tex]y = (-1)\cdot (2\cdot x^{2}-12\cdot x +26)[/tex] Distributive property
4) [tex]y = [(-1)\cdot (2)]\cdot (x^{2}-6\cdot x +13)[/tex] Associative and distributive properties
5) [tex]y = (-2)\cdot [(x^{2}-6\cdot x+9)+4][/tex] [tex](-a)\cdot b = -a\cdot b[/tex]
6) [tex]y = (-2) \cdot [(x-3)^{2}+4][/tex] Perfect square trinomial
7) [tex]y = (-2)\cdot (x-3)^{2}+4\cdot (-2)[/tex] Distributive property
8) [tex]y = (-2)\cdot (x-3)^{2}+(-8)[/tex] [tex](-a)\cdot b = -a\cdot b[/tex]
9) [tex]y +8= (-2)\cdot (x-3)^{2}[/tex] Compatibility of addition/Existence of the additive inverse/Modulative property/Result.
The equation of the polynomial in vertex form is [tex]y +8= (-2)\cdot (x-3)^{2}[/tex], its vertex is [tex](h,k) = (3, -8)[/tex].
The axis of symmetry is a line perpendicular to axis in which the square component of the vertex form is set. The expression of the axis of symmetry is [tex]x = 3[/tex].
The y-intercept is the value of the polynomial when [tex]x = 0[/tex], then, the value is:
[tex]y = -2\cdot (0)^{2}+12\cdot (0) -26[/tex]
[tex]y = -26[/tex]
The y-intercept of the function is -26.
PLSSS HELPPP ASAPSSSSSSSSS
It takes 1 4/5 minutes to fill an empty aquarium to a depth of 3/8 meters. What is the unit rate in minutes per meter? Write your answer as a fraction or a mixed number in simplest form.
Answer:
The filling speed of the aquarium is 1/5 meters per minute.
Step-by-step explanation:
Since it takes 1 4/5 minutes to fill an empty aquarium to a depth of 3/8 meters, to determine the unit rate in meters per minute, the following calculation must be performed:
4/5 = 0.8
3/8 = 0.375
1.8 = 0.375
1 = X
(1 x 0.375) / 1.8 = X
0.20 = X
0.20 = 1/5
Therefore, the filling speed of the aquarium is 1/5 meters per minute.
A table of values of a linear function is shown below.
Answer:
Slope is -2
y intercept is -3
Equation :y=-2x-3
Step-by-step explanation:
Write an integer for each situation
1. A deposit of $40
2. A loss of 25 pounds
Integers are numbers that can be written as positive values or negative values.
A deposit of $40 is written as 40 as an integer.
A loss of 25 pounds is written as -25 as an integer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
3 - 4 x 5 + 4 is an expression.
We have,
Integers are numbers that can be written as positive values or negative values.
1. A deposit of $40
Deposits mean adding more money into the account so it will be a positive value.
This can be written as an integer as,
= 40
2. A loss of 25 pounds
Loss means subtracting from the total pounds.
This can be written as an integer as,
= -25
We see that,
40 and -25 are integers.
Thus,
A deposit of $40 is written as 40 as an integer.
A loss of 25 pounds is written as -25 as an integer.
Learn more about expressions here:
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I need this fast please
Answer: It is B/Spinner 2
Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below: A(-1,2) B(-1,5) C(-3,5) D(-3,2) A'(-1,-2) B'(-1,-5) C'(-3,-5) D'(-3,-2)
What transformation did Kim perform to create rectangle A'B'C'D? (5 points)
A)Reflection across the y-axis
B)Rotation of 270 degrees counterclockwise about the origin
C)Reflection across the x-axis
D)Rotation of 90 degrees counterclockwise about the origin
Answer:
C) Reflection across the x-axis.
Step-by-step explanation:
From Linear Algebra we define the reflection across the x-axis is for [tex]P(x,y) =(x,y)[/tex]:
[tex]P'(x,y) = (x, -y)[/tex] (1)
If we know that [tex]A(x,y) = (-1, 2)[/tex], [tex]B(x,y) =(-1,5)[/tex], [tex]C(x,y) = (-3, 5)[/tex] and [tex]D(x,y) =(-3, 2)[/tex], then the reflected points are, respectively:
[tex]A'(x,y) = (-1, -2)[/tex]
[tex]B'(x,y) = (-1,-5)[/tex]
[tex]C'(x,y) = (-3,-5)[/tex]
[tex]D'(x,y) = (-3,-2)[/tex]
In consequence, Kim performed a reflection across the x-axis to create triangle A'B'C'D'. The correct answer is C.
This question is based on the reflection of x- axis. Hence the correct answer is C, reflection across the x-axis.
Given:
Transform rectangle ABCD to rectangle A'B'C'D',
The vertices of rectangle ABCD is A(-1,2) B(-1,5) C(-3,5) D(-3,2).
The vertices of rectangle A'B'C'D is A'(-1,-2) B'(-1,-5) C'(-3,-5) D'(-3,-2).
We need to determined the transformation that Kim perform to create rectangle A'B'C'D.
From Linear Algebra we define the reflection across the x-axis is for,
P(x,y) = (x,y)
P(x,y) = (x,-y) .....(1)
It is given that A(-1,2), B(-1,5), C(-3,5) and D(-3,2).
Therefore from equation (1) above point becomes,
A'(x,y) = (-1,-2)
B'(x,y) =(-1,-5)
C'(x,y) =(-3,-5)
D'(x,y) =(-3,-2)
Therefore, It is observe that Kim performed a reflection across the x-axis to create triangle A'B'C'D'. Hence the correct answer is C, reflection across the x-axis.
For further details, please refer this link:
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Please give me the correct answer
Answer: Many people assume that because DNA is so small, we can't see it without powerful microscopes. But in fact, DNA can be easily seen with the naked eye when collected from thousands of cells.
A florist makes a bouquet made up of 7 roes 12 carnations and 5 lilies what is the ratio of roses to flowers that are not roses
answear is 7/17 hope its useful
Evaluate: f(x) = 2x^2 + 6x - 4; f(-5) *
1
-1 46
[tex]f(x)=2x^2+6x-4[/tex]
Find the f(-5) by substituting x = -5 in the equation.
[tex]f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16[/tex]
Therefore, the answer is f(-5) = 16.
i need some help here
Answer:
the answer above is correct
Answer:
boxes
7
8
58.1
119.7
Step-by-step explanation:
look when u solve this it equals
8.3(7)+7.7(8)=119.7 but it tells u to add 61.6 so u go backwards subtract
119.7-61.6
58.1
just plug in
8.3(7)+7.7(8)=____+61.6
plug in
58.1+61.6
119.7
30 PTS
a. 59
b. 36.9
c. 53.1
d. 30.1
Answer:
c)
Step-by-step explanation:
I will GIVE BRAILYEST
Mario has 20 yards to mow this week. By Wednesday, he had mowed 50%or the yards. How many yards had he mowed by Wednesday?
2
5
10
15
Answer: 10 yards
Step-by-step explanation: 50% = 1/2
1/2 x 20 = 10
15 yeards mowed by Wednesday
Sarah’s was given 12 cups of bird seed for 3 bird feeders. She filled the bird feeders for a whole week. How many cups of seeds did sarah put in each bird feeder each day?
Answer:
1.7 everyday
Step-by-step explanation:
What the equivalent (2×)(5y)(5y)
Answer:
50xy
Step-by-step explanation:
(2x)(5y)(5y)
~Simplify
(2x)(25y)
~Multiply
50xy
Best of Luck!
Constructing a frequency distribution for grouped data
Ten cyclists were each asked the distance in miles they biked last week.
Their responses are given below.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of distances in that class.
(Note that we are using a class width of 5.)
Distance in miles
Distance in miles
Frequency
3
20
6
3
7
8
13
10
18
12
6 to 10
11 to 15
16 to 20 and 1 to 5
The grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.
Given that, ten cyclists were each asked the distance in miles they biked last week. The distance travelled by 10 cyclists is 3, 20, 6, 3, 7, 8, 13, 10, 18 and 12.
We need to complete the grouped frequency distribution for the data.
What is the grouped frequency distribution?In this type, the data is arranged and separated into groups called class intervals. The frequency of data belonging to each class interval is noted in a frequency distribution table. The grouped frequency table shows the distribution of frequencies in class intervals.
Now, the frequency distribution for the given intervals is as follows:
That is, for intervals 1 to 5 the frequency is 2.
For intervals 5 to 10 the frequency is 4.
For intervals 11 to 15 the frequency is 2.
For intervals 16 to 20 the frequency is 2.
Therefore, the grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.
To learn more about the grouped frequency distribution visit:
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There are 2400 students in a school 45% of them are boys how many boys are in the school
Show your work in the answer
Answer:
1080 boys
Step-by-step explanation:
2400 x 0.45 = 1080
g(x) = x3 - 4
h(x) = x2 + 2
Find h(-2) - g(-1)
Answer:
11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = x³ - 4
h(x) = x² + 2
h(-2) is x = -2
g(-1) is x = -1
Step 2: Find h(-2) - g(-1)
Substitute: ((-2)² + 2) - ((-1)³ - 4)Exponents: (4 + 2) - (-1 - 4)Add/Subtract: 6 - (-5)Subtract: 11what the hell is 5+5
Select the best answer for the question.
18. Simplify 12 - (-8) x 4 = ?
O A. 44
B. 80
O C. 16
O D.-20
Mark for review (Will be highlighted on the review page)
<< Previous Question
Ne Question >>
а) 6x = 7y
Can someone help
Answer:
36 x 2 - 49 y 2
Step-by-step explanation:
6 x (6x) +6 x ( - 7 y ) + 7 y (6x) +7 y ( - 7 y)
There were 240 girls and 360 boys at the playground what percentage of children were girls.
Things you need to have
• Answer
• Work
Answer:
66.67%
Explanation:
240/360
240/360×100/100
240×100
(-------------)× 1/100=66.67/100
360
66.67/100=66.67
please help will mark BRAINLIEST
Which equation is represented by the graph below
say a number between 1 and 10 if u guss right u get brainlist
what fraction is equal to 5%
Answer:
5/100
1/20
Step-by-step explanation:
Answer: 5/100
Step-by-step explanation:
if 1 euro is 1.07$ us dollars then what is 4.00 us dollars in euros
please help
Answer:
3.26 Euro I believe.
Step-by-step explanation:
A cell phone manufacturer samples cell phones from the assembly to test. She noticed that the number of faulty cell phones in a production run is usually small and that the quality of one day’s run seems to have no bearing on the next day.
a) What model might you use to model the number of faulty cell phones produced in one day?
(write a name of this probability model)
An analysts estimates the mean number of defective cell phones to be 2 per day.
b) What is the probability of having a day with no faulty cell phone in a production run?
(write to 3 decimal places)
c) What is the probability of having a day with more then 3 faulty cell phones in a production run?
probability:
Answer:
b
Step-by-step explanation:
probability can't be defined
What is the length of the unknown leg in the right triangle
Answer:
i think it might be 15m
Step-by-step explanation: