Answer:
x = 3 ± 3i√2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Vertex Form: f(x) = a(bx - c)ⁿ + dCompleting the SquareSolving rootsAlgebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define equation
(x - 3)² + 8 = -10
Step 2: Solve for x
Subtract 8 on both sides: (x - 3)² = -18Square root both sides: x - 3 = ±√-18Factor: x - 3 = √-1 · ±√18Simplify: x - 3 = ±3i√2Add 3 to both sides: x = 3 ± 3i√2When finding the common denominator between fractions, which value can be helpful, GCF, or LCM? How?
Answer:
The answer would be GCF because when you finding the common denominator GCF is how you do it. at least thats what I do and I got it right! :p
hope this helps! :) I don't really know how to explain lol
help pls i’ll give out extra points
Answer:
The answer is similar, AA similar.
Step-by-step explanation:
The triangles are obviously similar; but we only know that because of the two identical angles. (AA)
Please mark Brainliest!
(17) 60% of what is 24?
Answer:
Step-by-step explanation:
24*60%= 14.4
Answer:
14.4
Step-by-step explanation
3/5 x 24
3/5 x 24/1
3/5 x 24/1=3x24
5 x 1
= 3 x 24
5 x 1
72
5 x 1
72/5
what you do after that is you divide 72 and 5
72/5 = 14.4
so you answer is 14.4
hope this is right
plz help idk what is the answer will give a good review
Answer:
Step-by-step explanation:
I can't read it very well. If it says
5(6n-4)+2=68
30n-20+2=68
30n=86
n= 43/15 or 2 13/15
If it says
5(6n-4)-2=68
30n-20-2=68
30n=90
n= 3
Pentru a culege nectar 45 de albine au vizitat, intr-o singura exeditie, unele 60 flori, iar altele 75 de flori . Stiing=d ca au vizitat imreuna 3120 de flori , sa se afle cate albine au vizitat cate 75 de flori.
Hello, please, I need the answers!! Each year a school booster club holds a dance to raise funds. In the past, the profit of the club makes after paying for the bank and other costs has been modeled by the function p(t) = -16t^2 - 800t - 4000 where t represents the ticket price in dollars. a. What ticket price gives the maximum profit? b. What is the maximum profit? c. What ticket prices would generate a profit of $5000?
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
16t^2 + 800t + 9000 = 0
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
t^2 + 50t + 562.5= 0
Factorize
-50±√2500-4(562.5)/2
t = -50±√2500-2250)/2
t = -50±15.81/2
t = -65.81/2 and -34.19/2
t = -32.91 and -17.09
Which of the following describe 4/8
Answer:
4/8 is one half.
Step-by-step explanation:
4/8 -- 4 goes into both the numerator and denominator -- 4 goes into 4 one time and 4 goes into 8 two times.
Therefore, you have 1/2.
Answer:
4/8=.5 or 1/2
Step-by-step explanation:
4/8 can be reduced to 1/2
I don’t understand this please help
Answer:
2
Step-by-step explanation:
The answer is "The graph is incorrect. He should have shaded ro the right"
Vera went to the local salon to get a haircut. The cost was $24. Vera tipped the hair stylist 18%. What was the total cost of the haircut including the tip? Round to the nearest cent.
Answer:
28.32
Step-by-step explanation:
The total cost of the haircut including the tip will be $28.32.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
Thus, unit price of something is price of 1 thing.
Thus, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
It is given that Vera went to the local salon to get a haircut. The cost was $24. Vera tipped the hair stylist 18%.
SO,
18% = 18/100 = 0.18
18% of 24 = 0.18*24
= 4.32
The tip is $4.32
Adding this tip amount onto the original bill leads to;
4.32+24 = 28.32
Hence, the total cost of the haircut including the tip will be $28.32.
Learn more about unit price here:
https://brainly.com/question/945712
#SPJ2
In 2000, the population of Snowy Egrets went from 5,000 individuals to 15,000 individuals. What is the growth rate over those 4 years?
Answer:
[tex]x=\sqrt[4]{3}-1[/tex] or [tex]x=0.316[/tex]
Step-by-step explanation:
To write this equation you would need to use this equation for growth.
Final amount=initial amount (1+growth rate)^time
We have the final amount, 15,000, the initial amount, 5,000, and the time, 4 years. Now we have to plug in the values. We can write the growth rate as x.
[tex]15,000=5000(1+x)^4[/tex]
Now start by dividing both sides by 5000.
[tex]\frac{15000}{5000} =(1+x)^4[/tex]
[tex]3=(1+x)^4[/tex]
Now you can find the fourth root of both sides to get rid of the exponent.
[tex]\sqrt[4]{3} =1+x[/tex]
Finally, subtract 1 from both sides.
[tex]x=\sqrt[4]{3}-1[/tex]
And, if allowed, you can use a calculator to find the value in decimal form which would be:
[tex]x=0.316[/tex]
Which of the number(s) below are potential roots of the function? q(x) = 6x3 + 19x2 – 15x – 28
Answer:
±2/3, ±7/2, ±14
Step-by-step explanation:
edge:) 2020
Answer: ±2/3, ±7/2, ±14
Step-by-step explanation: edge 2020
Enter values for X and Y in the table to plot points in the graph
Answer:12,16
Step-by-step explanation:
Answer:
16,28. 4,16. I'm not sure though
FIND THE QUADRATIC FUNCTION DETERMINED BY EACH TABLE
X -2 -1 0 1 2 3
Y 4 0 -2 -2 0 4
Answer:
x² - x - 2 = 0
Step-by-step explanation:
plotting the graph of x and y,we have that the root of the equation is -1 or 2
x = -1 or 2
the eqn therefore is;
x² - (sum of the root)x + (product of the root) =. 0
x² - (-1+2)x + (-1*2) = 0
x² - x - 2 = 0
Applying the Factor Theorem, it is found that the quadratic function is:
[tex]p(x) = x^2 - x - 2[/tex]
------------------------
The Factor Theorem states that if a polynomial [tex]p(x)[/tex] has roots [tex]x_1, x_2, ..., x_n[/tex], it is described by the following equation:
[tex]p(x) = a(x - x_1)(x - x_2)...(x - x_n)[/tex]
In which a is the leading coefficient.
For this quadratic function, the roots are [tex]x_1 = -1, x_2 = 2[/tex], as [tex]y(-1) = y(2) = 0[/tex], thus:[tex]p(x) = a(x - (-1))(x - 2)[/tex]
[tex]p(x) = a(x + 1)(x - 2)[/tex]
[tex]p(x) = a(x^2 - x - 2)[/tex]
When x = 0, p(x) = -2, and we use this to find a.
[tex]p(x) = a(x^2 - x - 2)[/tex]
[tex]-2 = a(0^2 - 0 - 2)[/tex]
[tex]2a = 2[/tex]
[tex]a = \frac{2}{2}[/tex]
[tex]a = 1[/tex]
Thus, the quadratic function is:
[tex]p(x) = x^2 - x - 2[/tex]
A similar problem is given at https://brainly.com/question/24380382
How can ΔABC be mapped to ΔXYZ?
First, translate vertex A to vertex
.
Next,
ΔABC to align the sides and angles.
Answer:
X
Rotate
Step-by-step explanation:
correct on edge 2020
Answer:
a. x
c. rotate
Step-by-step explanation:
edge2021 :)
Make a table of ordered pairs for the equation.
y= -1/3x+1
Then plot two points to graph the equation.
It’s a 10 by 10 graph and it has 4 areas
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope: -1/3
Y-Intercept: (0,1)
Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons. What is the correct portion to solve this problem?
Answer:
3/4=n/8
Step-by-step explanation:
An equation to represent the given scenario is 3/4 = n/8. Therefore, option A is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, mix 3 liters of water with 4 lemons to make lemonade.
Let n be the number of liters of water mixed with 8 lemons.
So, an equation is 3/4 = n/8
3/1 = n/2
n=6
Therefore, option A is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
I need help please. Whoever answers first get brainiest!
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
Use the slope-intercept form to graph the equation y=3/7x+3
Answer:
here you go
Step-by-step explanation:
suppose that x and y vary inversely and x=1 when y=6. write a function that models the inverse variation. graph the function and find y when x=10
Answer:
Required Answer:-Table:-[tex]\boxed{\begin{array}{c|c|c|}x & 1 & 10 \\ y & 6 & ?\end{array}}[/tex]
Now come to formula[tex]\sf x \propto y [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x_1 y_2=x_2 y_1[/tex]
Substitute the values[tex]{:}\longrightarrow[/tex][tex]\sf 1×y_2=10\times6 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y_2={\dfrac {10\times6}{1}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y_2=60 [/tex]
[tex]\therefore[/tex][tex]{\underline{\boxed{\bf y_2=60}}}[/tex]
PLEASE ANSWER!! TIME LIMITED!! Use the gfc and the distributive property to find the expression that is equivalent to 36 + 48
A. 6(6+8)
B. 4(9+12)
C. 12(3+4)
D. 2(18+24)
five hundred fifty five divided in five
Answer:
Well I'm not sure if its a joke but here is the answer anyways LOL Its 111
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
If you think about it, 5 ÷ 5 = 1
So all the digits are 1
111
(Plus I just used a calculator)
Hope I helped :)
What is 0.74 + (-3/5)
Answer:
It equals 0.14
Step-by-step explanation:
9) Five less than the square root of a number r
Solve for x -10 + x = -12
Answer:
=-1
Step-by-step explanation:
−
1
0
+
=
−
1
2
{\color{#c92786}{x}}-10+{\color{#c92786}{x}}=-12
x−10+x=−12
2
−
1
0
=
−
1
2
The cube of a negative number divided by the square of 5 times a number
Answer:
finding a cube of a negative number will always be negative , just as the cube of a positive number will always be positive
Step-by-step explanation:
solve for w and simplify this fraction 3/2w=-20
Answer:
4 2/3
Step-by-step explanation:
Answer:
w = -1.3 (.3 repeating)
Step-by-step explanation:
3/2w = -20
3/2w time 2/3 (flip to get rid of fraction)
- 20 time 2/3 (what you do to one side, you must do to the other side)
w = 1.3 (.3 repeating)
1.3 as a fraction is 4/3
How can you use x- and y- intercepts to graph an equation
Answer:
Since two points determine any line, we can graph lines using the x- and y-intercepts. To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y. This method of finding x- and y-intercepts will be used throughout our study of algebra because it works for any equation.
Please mark brainliest :)
Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to 8 if she rolls the two number cubes 252 times?
Answer:
Around 20
Step-by-step explanation:
because out of 36 you can get 6 five times. Then you divide. 252 by 36 and get four do you multiply 5 times 4
Answer:
20
Step-by-step explanation:
The next model of a sports car will cost 14.1% less than the current model. The current model costs $55,000 . How much will the price decrease in dollars? What will be the price of the next model?
Answer:
$3900.71 is the amount of money subtracted from the next model
51099.29 is the cost of the second model
Step-by-step explanation:
after eating at a restaurant the bill for your table is $62.50. There is a 6% sales tax and you want to leave a tip for 18% based on the pre-tax amount. How much money do you need to cover your final bill?
Answer:
Step-by-step explanation:
Your bill is $62.50
$62.50 * .06 = $3.75 (this is your sales tax added)
So your total is up to: $66.25
Adding the tip the same way using $66.25 *.18 = $11.93
Tip would be $11.93
Total coming to: $78.17
hope this helps
Answer:
$77.50
Step-by-step explanation:
Tax:
62.50x0.06= 3.75
3.75+62.50= 66.25
Tip:
62.50x0.18= 11.25
Answer:
66.25+11.25= 77.50