Answer:
Step-by-step explanation:
1) x² + 3x + 1 = 0
a = 1 b = 3 c = 1
=> Δ = b² - 4ac = 9 - 4.1.1 = 5 > 0
so the quadratic equation have 2 solutions
=> x = [tex]\frac{-3+\sqrt{5} }{4}[/tex]
or x = [tex]\frac{-3-\sqrt{5} }{4}[/tex]
2) x² + 4x - 8 = 0
a = 1 b' = 2 c = -8
Δ' = b'² - ac = 4 - 1.(-8) = 12 > 0
so the quadratic equation have 2 solutions
=> x = [tex]\frac{-2+\sqrt{12} }{1}=-2+\sqrt{12}[/tex]
or x = [tex]-2-\sqrt{12}[/tex]
3) x² - 5x -12 = 0
a = 1 b = -5 c = -12
Δ = b² - 4ac = 25 - 4.1.(-12) = 25 + 48 = 73 > 0
so the quadratic equation have 2 solutions
=> x = [tex]\frac{5+\sqrt{73} }{2}[/tex]
or x = [tex]\frac{5-\sqrt{73} }{2}[/tex]
Why would a deferred annuity or annuities due be preferred as a retirement investment?
I believe the answer is: The tax deferred nature.
Investment is considered to has tax deferred nature if the tax payment for the investment can be made years later after its due. This favoured as a retirement plan because it make the investors have more money to spend during the productive years prior to retirement.
Homework 2 parallel lines cut by a transverse
Answer:
There is no picture
Step-by-step explanation:
Here are the boiling points elements in degrees Celsius
Answer:
Chlorine, Krypton, Argon, Fluorine, Hydrogen
Step-by-step explanation:
Look at the numbers and sort them from least to greatest. It could be the opposite answer to since the larger the negative number the smaller the value.
Answer:
Hydrogen, Flourine, Argon, Krypton, Chlorine
CAN U EXPLAIN HOW TO SOLVE THIS?!
Answer:
C
Step-by-step explanation:
Use Δ ABC to find AB then Δ ABD to find DB
Δ ABC is isosceles since ∠ CAB = ∠ CBA = 45° , then CB = CA = 2
Using Pythagoras' identity in Δ ABC , then
AB² = 2² + 2² = 4 + 4 = 8 ( take square root of both sides )
AB = [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex]
----------------------------------------------------------------
Using the sine ratio in Δ ABD with the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{DB}[/tex] = [tex]\frac{2\sqrt{2} }{DB}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
[tex]\sqrt{3}[/tex] × DB = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
DB = [tex]\frac{4\sqrt{2} }{\sqrt{3} }[/tex] ( multiply numerator/ denominator by [tex]\sqrt{3}[/tex] to rationalise denominator )
= [tex]\frac{4\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]
= [tex]\frac{4\sqrt{6} }{3}[/tex] → C
i really need help i have 1 minute to complete!!!!!
Answer:
8 angles are formed, and if angle one is 105° then angles 4, 5, and 8 are also 105°. and angles 2, 3, 6, and 7 would be 75°
Given the equation y = 4 + 2x find the values for y given the value x
If x = 3 then y=
If x = -7 then y=
If x = 1 then y=
If x= -3 then y=
Answer:
1. y= 10 2.y= -10 3.y= 6 4.y= -2
Step-by-step explanation:
You basically just replace x with the number.
So, for y = 4 + 2x, then replace x with 3 and go y = 4 + 2(3)
which translates to y = 4 + 6 which equals 10
Answer:
10, - 10, 6, - 2
Step-by-step explanation:
Substitute each given value of x into the expression and evaluate.
x = 3 → y = 4 + 2(3) = 4 + 6 = 10
x = - 7 → y = 4 + 2(- 7) = 4 - 14 = - 10
x = 1 → y = 4 + 2(1) = 4 + 2 = 6
x = - 3 → y = 4 + 2(- 3) = 4 - 6 = - 2
Eight year-old Alex is learning to ride a
horse. The trainer says that a horse
ages 5 years for every 2 human years.
The horse is now 50 years old in human
years. How can you determine the age
of the horse, in human years, when Alex
was born?
Hint: Use a table or a graph to
help you find the solution.
Show your work.
Answer:
The age of the horse, in human years, when Alex was born can be determined by simply deducting the Current age of Alex from the Current age of the horse in human years.
Therefore, the age of the horse, in human years, when Alex was born was 42 years.
Step-by-step explanation:
Current age of Alex = 8
Current age of the horse in human years = 50
Since the age of the horse is already stated in human years, it implies there is no need to convert the age of the horse again.
Therefore, since Alex is a human who was born 8 years ago, the age of the horse, in human years, when Alex was born can be determined by simply deducting the Current age of Alex from the Current age of the horse in human years as follows:
The age of the horse, in human years, when Alex was born = 50 - 8 = 42
Therefore, the age of the horse, in human years, when Alex was born was 42 years.
This can be presented in a table as follows:
Age of Alex Age of the Horse (in human years)
Eight years ago 0 42
Current age 8 50
Hbxhsnnsgdhejeebejhebejejrj
Answer:
?what?
Step-by-step explanation:
Do it right plss I need good grades
Answer:its yhe one on the right
Step-by-step explanation:
Answer:
138 per 6 is the better deal
Step-by-step explan
$23 per g is the unit rate
Coach Carmona is purchasing 6 soccer balls for his players.The unit price of the soccer balls is $29.99.The sales tax rate is 7%.Find the total tax paid
Answer: 180.36
Step-by-step explanation:
I wasn’t sure if the questions was saying each ball was 29.99 or the total of the soccer balls was 29.99 without tax.
How I got the answer:
29.99 was the cost per soccer ball and he needed 6 of them and the tax was 7% which equal up to 0.07.
29.99 times 6 = 179.94
0.07 times 6 = 0.42 (the more you buy the more the tax raises)
179 + 0.42 = 180.36
The total is 180.38
Evaluate 2x
2 + y if the values of x = 3, and y = 10
Answer:
6,12
Step-by-step explanation:
i have no idea what to do
do u want me to evaluate 1 problem or 2
Evaluate the data and find the rate of change from one group to the next. Explain how you found the rate of change
EASY PLEASE HELP PLEASE HELP 15 POINTS...PLEASE HELP
Answer:
The y intercept is -2, because that is the point where the line hits the vertical y intercept. The slope is - 1/4
Step-by-step explanation:
Answer:
slope = -1/4
y-intercept = -2
1. Order the set of integers {-3, 0, -6,4} from greatest to least.
Answer:
Greatest 4 > 0 > -3 > -6 Least
General Formulas and Concepts:
Number lineStep-by-step explanation:
Negative numbers are always going to be the smallest while positive numbers will be the greatest
Answer:
4,0,-3,-6
Step-by-step explanation:
integer means a number which is not a fraction. So 4 is the greatest ,because it is positive.Then 0.Then -3 then -6 'cause there negative.
What is 3/4 raised to the power of 3
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] ( { \frac{3}{4} })^{3} = \frac{ {3}^{3} }{ {4}^{3} } = \frac{27}{64} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
PLS HELP : A school chess club needs to raise at least $750 to attend a state competition. The club has already raised $400 and there are 4 months remaining until the competition. Which inequality and statement can be used to determine the dollar amount the club will need to raise during the remaining months?
Answer:
400+4n ≥ 750; The club will need to raise an average of $87.50 or more per month.
help me please. I really need it
Answer:
Step-by-step explanation:
can you post a better pic please
Answer:
Yes it is
Step-by-step explanation:
you're going up at a constant rate of 1.5 or down at a constant rate of 1.5
What’s the quotient
Answer:
a) 3/40
Step-by-step explanation:
Answer:
3/40 (3 over 40 )
Step-by-step explanation:
3 / 5 ÷ 8
3 / 5 × 1 / 8 ( when dividing fractions you need to invert and multiply invert the seccond fraction )
3 * 1 = 3 and 5 * 8 is 40
So the answer is 3/40
CONVERT 1.3333........ into p/q form
Answer:
4/3In short form, it is x is equal tox= 12/9I am trying to find the area of my master bedroom. The measurements are 4x-3(L) 6x-6(W).
the answer keeps coming out to be Zero. And you have to have measurements for the room, so that doesn't make sense.
Substitute x as 4.
Answer:
L= -12
W= -36
Step-by-step explanation:
-12 x -36 = 432
so the area of your master bedroom is 432.
Find three consecutive integers such that if the third is subtracted from six times the sum of the first and second, the result is 452 more than twice the second.
Answer:
The numbers are 50, 51, and 52.
Step-by-step explanation:
The consecutive integers are (x-1), x, and (x+1).
6*(x-1+x)-(x+1)=452+2x
6x-6+6x-x-1=452+2x
9x = 459
x=51
The numbers are 50, 51, and 52.
15 POINTS AND 5 STARS
Answer: b.
Step-by-step explanation:
Michael invest $600 in an account with a 3% interest simple interest rate. The account is open for 10 years. How much interest did he earn after 10 years?
A: $150
B: 180
C: 18000
D: 1800
Answer:
$180
Step-by-step explanation:
Interest = Principal * rate * time
= 600 * .03 * 10
= 180
Principal + Interest = Total value
$600 + $180 = $780
a. When x = -1, what is the value of y?
Answer:
i think we need more context to this answer. I’d love to help no need to retype. You can just message me for help :)
Step-by-step explanation:
pls help me, i’ll give brainliest
Answer:
The answer is c my bad
Step-by-step explanation: your welcome
It is give me brainliest :)
Answer:
c
Step-by-step explanation:
The point A(-6,6) is reflected over the point (0,7) and its image is point B. What are the coordinates of point B?
============================================================
Explanation:
Let's label (0,7) as point C.
Plot points A and C on the same coordinate system.
Note that to go from A to C, we must do two things (in either order)
go up 1 unitgo to the right 6 unitsThese two items will be replicated in either order to go from point C to point B.
The translation rule we follow is [tex](x,y) \to (x+6, y+1)[/tex] which is a mathematical way of saying "go right 6 and up 1". If we plug in x = -6 from point A we get to x = 0 which is the x coordinate of point C. Repeating this leads to x = 6, which is the x coordinate of point B.
Through similar arguments, we go from y = 6, to y = 7, to y = 8, when we hop from points A, to C, to B in that exact order.
Put everything together and we see that B is located at (6,8)
The diagram below provides a visual summary.
----------------------------------------------------
Extra info:
If we draw a line from point A to B, then point C will be on this line. Furthermore, AC = CB which can be proven using congruent triangles. Reflections preserve distance, meaning the distance from A to the mirror point C, is the same as from B to C as well. In short, we can say C is the midpoint of segment AB.
each 6 cup container costs 2.95 . How much did Henry's mom spend on lemonade?
Answer:
Henry's mom spent $17.70 on lemonade.
Step-by-step explanation:
6 x 2.95 = 17.7
Please help me, how do you do this
Answer:
84x+50
Step-by-step explanation:
First, you would find the area of the entire square. The area of a square is LW, so you would multiply (7x+6)(7x+6). For this, I would use the FOIL method, so you would multiply the first terms which would be (7x)(7x)=14x^2. Then the outside terms, so (7x)(6)=42x. Then the inside, so (7x)(6)=42x. Finally, the last terms, 6(6)=36.
Then you would combine them, so the area of the whole square is [tex]14x^{2} +42x+42x+36[/tex] which would equal [tex]14x^{2} +84x+36[/tex].
Then, the area of the smaller square is (x)(x) which would equal [tex]x^{2}[/tex].
Then you would subtract the smaller square from the bigger one, so the final answer would be [tex]14+84x+36[/tex] which you could simplify to [tex]84x+50[/tex]
Which graph displays a directly proportional relationship?
Answer:
top graph
Step-by-step explanation:
The graph of a proportional relationship is a straight line passing through the origin.
The only straight line graph passing through the origin is the top one
The graph on option A displays a proportional relationship.
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of the line on the graph is given as:
y = mx + c ____(1)
The graph on option A.
If the equation of a line is y = mx and the slope is a unit rate the graph shows proportional relationships.
We will select two points on the graph.
i.e
(2, 2) = (a, b) and (3.3) = (c, d)
Slope:
m = (d - b) / (c - a) = 3 - 2 / 3 - 2 = 1 / 1 = 1
Let (2, 2) = (x, y) and putting in (1) we get,
2 = 1 x 2 + c
2 = 2 + c
c = 2 - 2 = 0
c = 0
The slope of the line is 1
The equation of the line is y = x
Thus,
The graph displays a proportional relationship.
Option A is the correct answer.
Learn more about equation of a line here:
https://brainly.com/question/23087740
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A point is reflected across the y-axis. Jimmy says that the reflected point is \left(3.5,6\right), which means the original point was \left(3.5,-6\right). Is Jimmy's statement true or false?
Given:
A point is reflected across the y-axis. The reflected point is (3.5,6).
Jimmy says the original point is (3.5,-6).
To find:
Whether Jimmy's statement true or false
Solution:
If a point is reflected across the y-axis, then y-coordinate remains same but change the sign of x-coordinate.
[tex](x,y)\to (-x,y)[/tex]
If the reflected point is (3.5,6), then the original point must be (-3.5,6), which is not equal to (3.5,-6).
Therefore, Jimmy's statement is false.
