Answer:
The given equation will have two roots as +5i and -5i
Step-by-step explanation:
Shasta claimed that the equation x^2+25=0 can be solved by using its factored form of (x+5i)^2=0, and that -5i is the only zero for this function
The given equation is [tex]x^2+25 =0[/tex]
This clearly shows it will have complex roots, and since it is a quadratic equation it will have 2 complex roots
[tex]x^2 = -25 \\x = \sqrt{-25} \\x= \sqrt{-1}* \sqrt{25}\\[/tex]
[tex]x = i\sqrt{25}[/tex]
x = ± 5i
It will be false to say that -5i will be the only complex root to this equation.
The given equation will have +5i and -5i as its roots.
Lets verify
x = +5i
[tex](5i)^2 + 25 \\25i^2 + 25 \\25(-1) + 25\\-25 + 25 = 0[/tex]
x = -5i
[tex](-5i)^2 + 25 \\25i^2 + 25 \\25(-1) + 25 \\-25 + 25 \\ = 0[/tex]
Solve for r. This is for combinations and permutations.
Answer:
○ D) A and C
Step-by-step explanation:
[tex]\displaystyle \frac{n!}{r![-r + n]!} = {}_nC_r[/tex]
All you need to do is plug each choice into the formula:
[tex]\displaystyle \frac{10!}{2![-2 + 10]!} \Longrightarrow \frac{[2][3][4][5][6][7][8][9][10]}{2[-2 + 10]!} \longrightarrow \frac{[2][3][4][5][6][7][8][9][10]}{2[(2)(3)(4)(5)(6)(7)(8)]} \\ \\ \boxed{45} = \frac{90}{2}[/tex]
OR
[tex]\displaystyle \frac{10!}{8![-8 + 10]!} \Longrightarrow \frac{[2][3][4][5][6][7][8][9][10]}{[(2)(3)(4)(5)(6)(7)(8)][-8 + 10]!} \\ \\ \boxed{45} = \frac{90}{2}[/tex]
So, from what you see, both values of [tex]\displaystyle r[/tex] work. In fact, when using the formula pertaining to combinations, you will see that each result has a “repetitive pattern”. This is something you must look out for when using this formula.
I am joyous to assist you at any time.
Question #6
What is 3/4 divided by 1/8 Explain or show your reasoning.
Answer: 6
Step-by-step explanation:
3/4 divided by 1/8 is the same as 3/4 multiplied by the reciprocal of 1/8( which is 8) therefore, 3/4 ×8=6
This can help you remember how to multiply fractions :Dividing fractions is easy as a pie, flip the second number and multiply, and don't forget to simplify, before its time to say goodbye.
The relationship between the number of
$4 lunches you buy with a $100 school
lunch card and the money remaining on
the card
plss..I need help...
Complete the table and then graph the function.y= -4x + 34
Answer:
Step-by-step explanation:
NEED ANSWERS ASAP!!( no need for explanation just final answers)
Answer
x, y
0, -4
1, -1
2, 2
3, 5
please click heart to give thanks :)
Answer:
Answer
x, y
0, -4
1, -1
2, 2
3, 5
Step-by-step explanation:
there's the math
find the slope PLEASE HELP
Answer:
-1/4
1
-1/4
1
Step-by-step explanation:
Slope is obtained thus :
(y2 - y1) / (x2 - x1)
Slope ST :
S(1, 4) ; T(5, 3) ;
x1 = 1, y1 = 4 ; x2 = 5 ; y2 = 3
Slope ST = (3 - 4) / (5 - 1) = - 1 / 4
Slope TU :
T(5, 3) ; U(3, 1)
x1 = 5, y1 = 3 ; x2 = 3 ; y2 = 1
Slope TU = (1 - 3) / (3 - 5) = - 2/ - 2 = 1
Slope UV :
U(3, 1) ; V(-1, 2)
x1 = 3, y1 = 1 ; x2 = - 1 ; y2 = 2
Slope UV = (2 - 1) / (-1 - 3) = 1 /-4 = - 1/4
Slope SV:
S(1, 4) ; V(-1, 2)
x1 = 1, y1 = 4 ; x2 = - 1, y2 = 2
Slope SV = (2 - 4) / (-1 - 1) = - 2 / - 2 = 1
b) Which is the better -17%off35$or12%off32?
Answer:
Hi :)
Step-by-step explanation:
33-(2c + 4) = 2(c + 7) +C
Answer:
c=3
Step-by-step explanation:
Ethan puts $50 on his school lunch card. He buys the same $5 lunch every day. Which equation shows the balance, b, on his card in terms of the number, m, of meals he has
purchased?
Answer:
b = 50 - 5m
Step-by-step explanation:
i think this is correct but i didnt put much thought into it
Is a function or not a function?
Answer:
yes this is
Step-by-step explanation:
Roger spent 22 minutes on his math homework and 25.08 minutes on his spelling
homework. He spent percent more time on his spelling homework.
Answer:
114%
Step-by-step explanation:
okay, so we know he spent 22 minutes on math and 25.08 on spelling.
m=22
s=25.08
so to find a percent, you have to divide s/m
s/m= 25.08/22
s/m= 1.14
because this is a decimal, we have to convert it to a percent
114%
to check the answer, multiply 22 times 114%
the answer is 25.08, so we know we got the right answer.
If the domain of the function f(x)=2x^2-8 is {-2, 3, 5}, then the range is
Answer:
{0, 10, 42}
Step-by-step explanation:
The Domain acts like x and the Range acts like y and f(x) = y
f(x) = 2x^2 - 8
f(-2) = 2(-2)^2 - 8
f(-2) = 2(4) - 8
f(-2) = 8 - 8
f(-2) = 0
f(3) = 2(3)^2 - 8
f(3) = 2(9) - 8
f(3) = 18 - 8
f(3) = 10
f(x) = 2x^2 - 8
f(5) = 2(5)^2 - 8
f(5) = 2(25) - 8
f(5) = 50 - 8
f(5) = 42
To check, look at the graph below ---
|
V
Can somebody please help meee out ?? I don’t understand this .
Answer:
(-5,3)-3/2=(-1,-3)
Step-by-step explanation:
So the slope intercept form is 3/2 and the points are (-5,3) and (-1,-3)
y intercept form is y=mx+b.
I hope one of those helps
Answer:
the equation for the function shown is y= -3/2x -9/2
Step-by-step explanation:
You can find the slope of the graph by counting how many spaces up or down over how many spaces left or right between two points. Start from the left of the graph and go towards the right of the graph when doing this. If you count the spaces between the two points on the graph, it is down six units (-6 on top) and 4 units right (4 on bottom) to get a slope of -6/4, which can be simplified by dividing both the top and bottom by two to get a slope of -3/2. Next you can use the point-slope form to find the equation of the graph in the form y=mx + b. Point slope form looks like this: y-y1=(the slope)(x-x1).
Plug in what you got for the slope and the coordinates for any point on the graph (the y coordinate replacing y1 and the x coordinate replacing x1). Here, I used the point (-1, -3), but you should get the same answer no matter what point you use, as long as it is a point on the graph:=> y-(-3)= -3/2(x-(-1))
=>y+3=-3/2(x+1)
distribute the -3/2 to both terms in the parentheses: y+3= -3/2x -3/2
subtract 3 from both sides to get y by itself (aka to convert to the form y=mx+b): y= -3/2x -9/2 (Here, -9/2 is your y-intercept, or where the graph crosses the y-axis).
A classroom's population went from 25 to 46 in 15 years. What was the percent of change?
a
21%
b
84%
c
16%
d
80%
can i get some helpers?
Answer:
congruent, the triangles have 2 congruent sides and a congruent angle, therefore the triangles are congruent by the SAS Theorem
Step-by-step explanation:
5x-28 = 2x+8
3x=36
x=12
x+4 = 2x-8
(12)+4 = 2(12)-8
16 = 16, AB is congruent to DE
x-2 = 3x-26
(12)-2 = (36)-26
10 = 10, AC is congruent to DF
HELP ASAPP PLEASE OR ELSE I WILL FAIL CLASS
What is the slope? (Number)
What is the y-intercept? (Number)
Write a linear equation y=mx + b to represent the table:
Answer:
slope=1
y-intercept=10
linear equation is y =x+10
Step-by-step explanation: to find slope take 2 points (0,10) and (2,12) as (x1,y1) and (x2,y2) respectively. Using slope formula(y2-y1/x2-x1) we get (12-10)/(2-0) which simplifies to 2/2 which is 1. y-intercept is the point where x is 0, then y is a number called y-intercept. And in the table when x=0 ,y=10 therefore 10nis the y-intercept. As for the linear equation, y=mx+b it simply is y=slope×x +y-intercept, from the previous question we can say y=1x+10 ( in math its better if the coefficient of x is 1 we can just say x) which is y=x+10.
Jennifer claims that her bank account is growing at a greater rate of change than William’s bank account. Determine if Jennifer is correct and justify your reasoning.
Answer:
Jennifer is wrongStep-by-step explanation:
Jennifer's bank account is growing at a rate of change 10 as per the given function
William’s bank account is growing at a rate of change 14 as per the table
Jennifer is wrong because 10 < 14
At a local fitness center, members pay $6 membership fee and $2 for each aerobics class. Nonmembers pay $4 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the same? first person gets brainly
Answer:
for members: 1, 2,3,4,5
for non-members : 2,4,6,8,10
will cost same.
Step-by-step explanation:
6 + 2 = 8
members total $8 for 1 class
non-members total $4 for 1 class
8×2=16
8×3=24
8×4=32
8×5=40
4 × 2 = 8
4×3=12
4×4=16
4×5=20
4×6=24
4×7=28
4×8=32
4×9=36
4×10=40
Tessa bought stock in a restaurant for $297.00. Her stock is now worth $356.40. What is the percentage increase of the value of Tessa's stock?
Answer:
20% increase
Step-by-step explanation:
We want to compute the percentage increase
Percent increase in price is expressed as
=(Change in price)/old price *100
=356.4-297/297*100
=59.4/297*100
=0.2*100
=20%
Create a sample division problem with a 2-digit divisor and give an incorrect answer, showing the steps taken to get the incorrect answer.
Answer:
Incorrect Answer Below
Step-by-step explanation:
Problem: We have a total of 28 candies that need to be divided evenly between 4 students.
(Incorrect) Solution: In order to solve this problem we can seperate the total number of candies into single digits and then divide each digit by 4 like so...
2 / 4 = 0.5
8 / 4 = 2
Now that we have the answer of both of these divisions we can simply add these values together to get the number of candies each student will get
0.5 + 2 = 2.5 candies
PLz help I need help
Answer:
Missing statements:
R2. Definition of corresponding anglesR3. Corresponding angles postulateR5. Supplement PostulateS7. m∠2 + m∠3 = m∠1 + m∠3S8. m∠1 + m∠3 = 180°Jiangsu divided 751.6 by 10 to the second power and obtained a quotient of 0.7516. Yessenia thinks the quotient. Who has the reason? Explain your answer.
Answer:
Yessenia is correct.
Step-by-step explanation:
Supose Yessenia thinks the quotient is 7.516, then Yessenia is correct.
The reason why Yessenia is correct is that, if we interpret the question mathematically, we have:
[tex]= \dfrac{751.6}{10^2}[/tex]
[tex]= \dfrac{751.6}{100}[/tex]
From above the decimal point will shift to the left twice since we are dividing 751.6 by 100, which is:
= 7.516 and not 0.7516
HELP! Please help! Thank you so much!
(please try to show your work)
A pizzeria offers toppings of mushrooms, sausage, onions, onions olives, and peppers. How many different ways can a pizza be made, using anywhere from 0 to 5 toppings?
Answer:
0-5
Step-by-step explanation:
1 if theres 5 topping. 2 if there are 10 toppings. 3 if 15. 4 if 20. 5 if 25.
The distance a spring stretches varies directly
with the force applied to it. If a 7-pound weight
stretches a spring a distance of 24.5 inches, how
far will the spring stretch if a 12-pound weight is
applied?
A. 3.4 inches B. 19.5 inches
C. 42 inches D. 294 inches
10 2/3 - 8 5/8
I DONT NEED AN EXPLANATION
Answer:
2 1/24=49/24
Step-by-step explanation:
can i get some help please?
Answer:
∠ L = 109°
Step-by-step explanation:
Since the triangles are congruent, then corresponding angles are congruent.
Thus ∠ J = ∠ G , substitute values
3x + 12 = 2x + 19 ( subtract 2x from both sides )
x + 12 = 19 ( subtract 12 from both sides )
x = 7
Then
∠ G = 2x + 19 = 2(7) + 19 = 14 + 19 = 33°
∠ H = 4x + 10 = 4(7) + 10 = 28 + 10 = 38°
By the sum of angles in a triangle = 180°, then
∠ F = 180° - (33 + 38)° = 180° - 71° = 109°
∠ F and ∠ L correspond , thus
∠ L = ∠ F = 109°
A store is offering a 20% discount. The original price of a t-shirt is $18. What is the sale price of the t-shirt?
(no tax included)
Answer:
$3.6
Step-by-step explanation:
I looked it up, I don't know how to do that on my own
Can anyone tell me why I got this question wrong? Btw Happy Holidays!
Answer:
Hope this may helps you
Answer:
Column A:
You calculate slope doing y2-y1/x2-x1
So -10-1/5-(-2)= -11/7
Column B:
Rearrange the equation to get y
-3x+2y=7
2y=3x+7
y= 1.5x + 7
Therfore we have that the slope of column be is greater because it has a positive regression. While column A has a negative slope.
Rate positively and give brainlist