Step-by-step explanation:
f(x) = x² - 4x - 4
the general formula for solving such a quadratic equation (for f(x) = 0) is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -4
c = -4
x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =
= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)
x1 = 2 + 2×sqrt(2)
x2 = 2 - 2×sqrt(2)
quiz 3-1 parallel lines transversals and special angle pairs
The following statements are true:
Segment DEF is parallel to ABCThe line segment AB is parallel to DELine FC is parallel to ADthe line that is skewed to DE is BCThe given diagram is a triangular prism. From the diagram, some of the sides are parallel to each other (that is facing each other directly)
Some of the lines are also parallel to each other. From the given diagram, the sides that are parallel to each other are;
DEF is parallel to ABCCADF is parallel to CBEFFor the lines, the lines that are parallel to each other are:
AD is parallel to BEAB is parallel to DEFC is parallel to ADFor skew lines, they are straight lines that do not intersect and are not in the same plane. Hence the line that is skewed to DE is BC
Learn more about parallel and skew lines here: https://brainly.com/question/18013592
Algebra 2 | Drag the tiles to the correct boxes to complete the pair match each solution with its solution set
Answer:
256= 4 power 4 and 125 = 5 power 3
HELP ME PLEASE GUYS! :)
Answer:
Step-by-step explanation:
New equation equals - 5y = - 35
Step 2. y = 7
Step 3. 5x - 4( 7 ) = - 23
Step 4. ( 1 , 7 )
Convert 30,000 ML into L
Answer:
30 liters
Step-by-step explanation:
To me it's kind of like multiplying and dividing.
So, what I did was 30,000 divided by 30 and got 1,000.
1,000 x 30 = 30,000.
That's what I did. You probably have your own way of doing it, but the answer is 30. I'm sorry if my explanation isn't good enough but I tried. Thanks for the question and enjoy your answer :)
Kelly and her mom like to travel to different states. Kelly's mom has visited 32 states. That is 4 times as many states as Kelly has visited.
How many states has Kelly visited?
32 / 4 = 8
When it states that her mom visited x 4 the amount of states as her, divide the amount her mom has visited by 4 and find out how many states Kelly visited.
32 / 4 = 8
So, Kelly has visited 8 states.
for brainlist !!!!!!
Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.
Your parents put in fencing around the walkway for safety. If 110 feet of fencing is used, what are the dimensions of the pool? Show your work.
Answer: =20 feet
= 35 feet
Explanation :
let width = a
length = a+15
Now,
2(2w+15)=110
2w=55-15
w=40/2
w=20
IF ANYONE CAN ANSWER THESE 2 QUESTIONS I WILL GIVE YOU BRAINLIEST AND LOVE YOU FOREVER. SERIOUSLY, ILL NEVER FORGET U <3
Answer:
3. 314 student and 226 adult
4. x = 6.5, y = -0.5
Step-by-step explanation:
3. First we will take our information and make a system of equations:
[tex]2.4a+1.25s=934.9[/tex]
[tex]a+s=540[/tex]
[tex]a[/tex] is the number of adult tickets sold and [tex]s[/tex] is the number of student tickets sold.
From the second equation we can rearange it to be:
[tex]a=540-s[/tex]
Then we can plug in our new value of [tex]a[/tex] to our first equation
[tex]2.4(540-s)+1.25s=934.9[/tex]
[tex]1296-2.4s+1.25s=934.9[/tex]
[tex]1.15s=361.1[/tex]
[tex]s=314[/tex]
We can then find [tex]a[/tex] by plugging in s to our second equation
[tex]a+314=540[/tex]
[tex]a=226[/tex]
4. It is mostly solved already. We can take the value of y from the first equation and plug it into the second to get:
[tex]3x -5(-5x+32)=22[/tex]
[tex]3x+25x-160=22[/tex]
[tex]28x=182[/tex]
[tex]x=6.5[/tex]
Then plug our value of x into the first equation to get:
[tex]3(6.5)-5y=22[/tex]
[tex]19.5-5y=22[/tex]
[tex]5y=-2.5[/tex]
[tex]y=-0.5[/tex]
Plzz help meeee plzzzz help
Answer: A. 20%
Step-by-step explanation:
First, to find the total number of teachers, we can add 25+32+18+5+20=100
Next, we divide the number of teachers in 2014 (20) by the total number of teachers (100) as follows:
20 ÷ 100 = 0.2
Finally, to make 0.2 a percentage, we can multiply 0.2 X 100 = 20
Therefore, the correct answer is A.
Simplify each expression by filling in the box.
Answer:
1. (2^3)^3 = 2^x x=9
2. 4^x x = 6 5^y y= 9
3. 3^6/3^3 = 3^x x = 3
Brad needs to rent scaffolding to paint a 2-story room. Handy Rentals charges $15 plus $12.50 per hour. The EZ Rental Company charges $7.50 plus $13.75 per hour. For how many hours would Brad need to rent the scaffolding for the cost to be the same from each rental company?
Answer:
6 hours
Step-by-step explanation:
lmk if you want an explanation
please help me asap..!
ty :)
Answer:
y-inctercept=4, x-intecept=7
Step-by-step explanation:
I did it with the standard to slope again!
[tex]7y=28-4x[/tex]
[tex]y=4-\frac{4}{7}x[/tex]
Now don't get confused here, 4 is the y incetecept, not -4.
When y=0, x=7
UPDATE:
To determine x and y intercept using graph, see where the line intersects at the x or y axis.
3⎜x + 4⎟ + 2 ≥ 5
plS
Step-by-step explanation:
3×|x + 4| + 2 >= 5
you handle this basically like an equation :
3×|x + 4| >= 3
|x + 4| >= 1
because of the absolute value we have 2 solutions for that :
x + 4 = 1
and
x + 4 = -1
as in both cases the absolute value turns the result into 1.
so,
x + 4 = 1
x = -3
x + 4 = -1
x = -5
so, to satisfy the inequality
x >= -3 or x <= -5
please consider : if the inequality would have been > instead of >=, we would have had to use > and < for the solution.
−x<−29 solve for X just please commet fast im on khan right now
Answer:
x > 29
Hope you level up in khan :)
[tex]-x <-29 <=>\frac{-x}{-1} >\frac{-29}{-1} <=>x >29[/tex]
Ok done. Thank to me :>
Convert 53 grams to kilograms. 53,000 kg 0.053 kg 5.3 kg 530 kg
Answer:
0.053 kg
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
what’s the slope of y=x+5
Answer
if there´s any answer choice, the answer is 1
Step-by-step explanation:
Use a model to solve seven multiplied by three fifths. Leave your answer as an improper fraction.
Question 2 options:
twenty one thirty fifths
twenty one fifths
four fifths
ten fifths
Answer:
1 a is your answer
Step-by-step explanation:
mark brainlest pls and i hope this helps
55.7 degrees is the same as 55 degrees _____' 12"
Answer:
16
Step-by-step explanation:
Given is a degree in decimals as 55.27 degrees
But normally in degrees, we use for part of degrees minutes and seconds
60 seconds make one minute and 60 minutes make one degree.
Here 55 degrees would be the same
But part degree 0.27 = 27/100
If we want to convert this into minutes multiply by 60
No of minutes =
1/5 minutes = 12 seconds
Hence 55.27 = 55 deg 16 min and 12 seconds
The Missing number in the middle is 16
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n) = 5 + (n - 1) 1/6
Answer:
A(1) = 5
A(4) = 5.5
A(10) = 6.5
Step-by-step explanation:
An nth term formula works, whether for a arithmetic or geometric sequence, can be used to find any term in a sequence;
Simply substitute the number that corresponds with the position of the term you want to find and the formula will give the value of that term;
So:
A(1) = 5 + ⅙((1) - 1) = 5
A(4) = 5 + ⅙((4) - 1) = 5.5
A(10) = 5 + ⅙((10) - 1) = 6.5
how to write and express without exponents in standard form 5.1 X 104?
Answer:
156
1.56×10²
after you get your answer move the decimal however many spaces to where you only have one number before the decimal then you multiply it by 10 in your square root is however many times do you move the decimal
PLEASE HELP!!! this is actually english but---
what is a counterargument and rebuttal in a persuasive speech?
A counterargument simply means the acknowledgement of the standpoints that go against one's argument and then re-affirming the argument.
A persuasive speech means a form if speech where the goal of the speaker is to convince the audience to accept hai or her point of view.
A counterargument shows that a individual is capable of understanding the multiple sides that are in an argument. A rebuttal simply means a form of evidence that's presented in order to nullify the other evidences that are provided by another party.
Learn more about counterargument on:
https://brainly.com/question/1198856
The sum of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number?
Answer:
34
Step-by-step explanation:
Answer:
b=4 a=3
The first digit is 3 and the second 4 so the original number is 34
To be honest! It would be much quicker to solve by trial and error.
Explanation:
Building the equations
Let the first digit be
a
Let the second digit be
b
The first condition
a
+
b
=
7
...............................(1)
Step-by-step explanation:
Adding a few more points to this one plz answer the question in the picture
Answer:
The greatest number of arrangements possible would be 5
Step-by-step explanation:
If we look at the x values (in this case # of tulips remaining) we can find the number 20. And we see that there is a line going through it. We then stop at the point and go down to see what number it would fall on on the y axis.
PLEASE HELP GIVING 50 POINTS!!
Answer:
y = 18
Step-by-step explanation:
Direct variation means y will change by the same factor x does. When x changes by a factor of 15/10 = 1.5, the value of y will change by that same factor
x = 10, y = 12
x= 15, y = 1.5×12 = 18
The new value of y is y = 18.
_____
Written as a proportion, you have ...
y/15 = 12/10
y = 15×12/10 = 18
__
Written as a direct variation equation, you have ...
y = kx
12 = k·10 ⇒ k = 1.2
y = 1.2·15 = 18 . . . . for x=15
Solve each equation.
2y=7(y−2)+4
y =
4x=6−2(2−x)
x =
Answer:
y=2 and x=1
Step-by-step explanation:
2y=7y-14+4
2y-7y=-14+4
-5y=-10/-5
y=2
4x=6-4+2x
4x-2x=6-4
2x=2/2
x=1
Please solve soon I need this problem solved or I will miss out on a Christmas party with my friends.
Answer:
Go have fun at your Christmas party!
Multiple Choice= 2 points each
Short Response= 4 points each
Step-by-step explanation:
You can set up a system of equations to find out how many points each type of question is worth.
x= multiple choice
y= short response
Equation 1 (You)
23x+10y=86
Equation 2 (Your Friend)
28x+5y=76
Solve with elimination. Multiply the second equation by negative 2 to cancel out the y-variable.
-2(28x+5y=76)
-56x-10y=-152
Subtract both equations together.
23x+10y=86
-56x-10y=-152
-33x= -66
x=2
Now that we found x, plug it into the first equation to solve for y.
23x+10y=86
23(2)+10y=86
46+10y=86
10y=40
y=4
Each multiple choice is worth 2 points, and each short answer response is worth 4 points.
A rectangle has a width of 5 inches and a length of 9 inches. What will be the new dimensions of the rectangle after it is
dilated by a scale factor of 3?
O 8 inches by 12 inches
O 15 inches by 9 inches
O 15 inches by 27 inches
O 45 inches by 81 inches
Mark this and retum
Save and Exit
Next
Submit
Answer:
the third one
Step-by-step explanation:
iiiieeeeew edgeuinty
Answer:
15 inch. By 27 inch.
Step-by-step explanation:
The volume of a cylinder is 5401 cubic meters and the height is 15 meters. Find the length of the diameter of the cylinder.
Answer:
12
Step-by-step explanation:
Volume= pi x radius squared x height
substitiute values
540π= π x r^2 x 15
divide 540π by π and 15
so thats 36= radius squared
so the radius is 6 as 6 squared is 36
so the diameter is radius x2
so the answer is 12
Which of these following numbers remain the same when rounded to the nearest Hundred??
A. 101
B. 990
C. 1150
D. 2900
PLS ANSWER ASAP!!! ILL MARK U BRAINLIEST♡♡♡♡
Answer:
D. 2900.
Step-by-step explanation:
Because it ends in 00.
Answer:
D. 2900
Step-by-step explanation:
It ends in 900, which is already at the nearest 100.
101 would change to 100
990 would change to 1000
1150 would change to 1200
no one helped so im asking for these 2 again
Answer:
3. Option No. 2:
6x + 2y = 22
3x + 3y = 18
4. Option No. 2:
$2.50
Step by step explanation:
4. 6x + 2y = 22
(3x + 3y = 18) * 2
- Negate
6x + 2y = 22
6x + 6y = 36
2y - 6y = 22 - 36
-4y = -14
y = -14/-4
y = 3.5
An order of onion rings = $3.50
- Substitute to find for x
6x + 2(3.5) = 22
6x + 7 = 22
6x = 22 - 7
6x = 15
x = 15/6
x = 2.5
An order of French fries = $2.50
Best answer gets brainiest! (plz help me!)
what is the circumference and the mass of Jupiter and Saturn combined? (both the circumference and mass)
Answer:
Total Circumference = 514, 170 miles
Total Mass = 2, 467, 000, 000, 000 metric tons
Step-by-step explanation:
hope this helps
Answer:
378,675 km (Saturn) + 449,197 km (Jupiter) = 827, 872 km (514,416 mi)
5.683 × 10^26 kg (Saturn) + 1.898 × 10^ kg (Jupiter) =568300000000000000000000018.98 kg (5.683 × 10^26)