Answer:
[tex]\boxed {x = \sqrt{3} - 3}[/tex]
[tex]\boxed {x = -\sqrt{3} - 3}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]x^2 + 6x + 6 = 0[/tex]
-When you use the quadratic formula ( [tex]\frac{-b\pm \sqrt{b^{2} - 4ac}}{2a}[/tex] ), it would give you two solutions. So, use the quadratic formula:
[tex]x = \frac{-6\pm \sqrt{6^{2} - 4 \times 6}}{2}[/tex]
-Simplify [tex]6[/tex] by the exponent [tex]2[/tex]:
[tex]x = \frac{-6\pm \sqrt{6^{2} - 4 \times 6}}{2}[/tex]
[tex]x = \frac{-6\pm \sqrt{36 - 4 \times 6}}{2}[/tex]
-Multiply both [tex]-4[/tex] and [tex]6[/tex]:
[tex]x = \frac{-6\pm \sqrt{36 - 4 \times 6}}{2}[/tex]
[tex]x = \frac{-6\pm \sqrt{36 - 24}}{2}[/tex]
-Add [tex]34[/tex] and [tex]-24[/tex]:
[tex]x = \frac{-6\pm \sqrt{36 - 24}}{2}[/tex]
[tex]x = \frac{-6\pm \sqrt{12}}{2}[/tex]
-Take the square root of [tex]12[/tex]:
[tex]x = \frac{-6\pm \sqrt{12}}{2}[/tex]
[tex]x = \frac{-6\pm 2\sqrt{3}}{2}[/tex]
-Now solve the equation when [tex]\pm[/tex] is plus, So, add [tex]-6[/tex] to [tex]2\sqrt{3}[/tex]:
[tex]x = \frac{-6\pm 2\sqrt{3}}{2}[/tex]
[tex]x = \frac{2\sqrt{3} - 6}{2}[/tex]
-Divide [tex]-6 + 2\sqrt{3}[/tex] both sides by [tex]2[/tex]:
[tex]x = \frac{2\sqrt{3} - 6}{2}[/tex]
[tex]\boxed {x = \sqrt{3} - 3}[/tex] (Answer 1)
-Now solve the equation when [tex]\pm[/tex] is minus. So, Subtract [tex]2\sqrt{3}[/tex] from [tex]-6[/tex]:
[tex]x = \frac{-2\sqrt{3} - 6}{2}[/tex]
-Divide [tex]-2\sqrt{3} - 6[/tex] by [tex]2[/tex]:
[tex]x = \frac{-2\sqrt{3} - 6}{2}[/tex]
[tex]\boxed {x = -\sqrt{3} - 3}[/tex] (Answer 2)
Linda has outgrown the bike she rode when she was small. So, for her twelfth birthday, her parents surprise her with a five-speed Blaze Rider 2000! Linda has never had a bike with multiple speeds before, and she is eager to learn how it works. She starts by testing the middle speed. There is a proportional relationship between the number of times Linda pedals, x, and the number of times the wheels rotate, y. The equation that models this relationship is y=3x. How many times do the wheels rotate when Linda pedals 2 times? Write your answer as a whole number or decimal
Answer:
6 times
Step-by-step explanation:
Given the proportuonal relationship between exists between the number times Linda pedals (x) and the number of times wheels rotate (y) as ;
y = 3x
How many times do the wheels rotate when Linda pedals 2 times
Here, x = 2
From ; y = 3x
y = 3(2) = 6
Hence, wheel rotates 6 times.
Answer:
Step-by-step explanation:
-2 (2x + 11) = 5x + 14
Answer:
x=-4
Step-by-step explanation:
First, write the expression and distribute.
-2(2x+11)=5x+14
-4x-22=5x+14
Add one of the variables to the other side (it makes solving a lot easier). I'll add 4x to both sides because it won't result in a negative x.
-4x-22=5x+14
+4x +4x
-22=9x+14
Now, subtract 14 on both sides.
-22=9x+14
-14 -14
-36=9x
Divide both sides by 9.
-36=9x
/9 /9
-4=x or x=-4 (they both mean the same thing)
Have a wonderful day! I hope this helped :3
Last one lol. Could I have an explanation so I can understand and ty!
Answer:
(x,y)→(x+7,y)
Step-by-step explanation:
Cuz the point isn't moving up or down so the y is the same and x+7 cuz the point moved 7 units to the right so its position changed in the x-axis.
Im reallyyyy bad at explanations but hope this helped:)
can any one help me plz
A bed frame normally weighs 60 pounds. A new, stronger material increases the duriability of the frame but makes it weigh 30% more. How many pounds does the new frame weigh
5 divided by 5/6.please help
Answer:
5 divided by 5/6=6
If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP
Answer:
Step-by-step explanation:
[tex]\large\underline{\bf\red{Solution:-}}[/tex]
Given : ∠1 + ∠2 = 90° ( complementary )
To Find : The value of x & the two angles .
And , m∠1 = ( 8x - 6 ) ° & m∠2 = ( 14x + 8 )° .
On adding the two Angles their sum will be 90 ° since they are two complementary angles .
⇒ ( 8x - 6 )° + ( 14x + 8 )° = 90° .
⇒ 22x + 2° = 90° .
⇒ 22x = (90 - 2)°
⇒ 22x = 88° .
⇒ x = 88°/22 .
⇒ x = 4° .
Hence the value of x is 4° .
So ,
First angle = 8x - 6 = 8×4-6=32-6=26°Second angle = 14x +8 = 14(4)+8 = 56+8 = 64° .One taxi company charges $12.50 plus $0.15 per mile for a fare to the airport. Another taxi
company charges $6.50 plus $0.35 per mile for the same fare. For how many miles will the two
companies charge the same amount?
HELP ME PLEASE ‼️‼️‼️
Answer:
Step-by-step e I can use inequalities to solve word problems with one or more ... Money: The coupon is good for any item that costs less than $10. ... than or equal to ban ... Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. ... has a cell phone plan that charges $0.07 per minute plus a monthly fee of $19.00.xplanation:
A scientist measures the change in the temperature of a chemical solution.
At the start of the experiment, the solution is at a temperature of -12.94°C.
The temperature changes by -1.9°C each hour.
What is the temperature of the solution after 4 hours?
Answer:
Since the temperature is -6 C after 3 hours when rounded to the nearest whole degree we have to do the following
Step-by-step explanation:
Temperatures= -14.96 and 2.9
Subtract to get the value=
Estimate the value to:
3+1=4
Thus, your answer is -7 C
What are the three angle measures in the
triangle shown below?
5x - 7
11x – 4
3x + 1
Point Q (-3,2) is translated 4 units left and 2 units down. What is the ordered pair of Q' after this translation?
a.(-7,0)
b.(4,0)
c.(4,4)
d.(1,4)
e.(1,0)
(-7,4)
Answer:
A (-7,0)
Step-by-step explanation:
I just drew it cause it's way easier than typing out :)
Find the measure of the "?" or "X". Explain or show your
Answer:
66⁰ + x = 111⁰
x = 111⁰ - 66⁰
x = 45⁰
Answer:
First, I am taking the interior angle E as 'y' to be able to use the angle sum property to find 'x'.
So we can find 'y' by using 'linear pair'.
So Exterior angle 'E'+y=180 Degree.
= 111+y=180
By transposing: y=180-11
And y= 69 degrees.
And now have angles y & 'Angle G' we can use Angle sum property to find 'x'
ACCORDING TO ANFLE SUM PROPERTY OF TRIANGLE: "THE SUM OF ALL THE ANGLES OF A TRIANGLE IS 180 DEGREE"THEREFOR, y+x+angle G=180 degrees.
= 69 degrees+66 degrees+x=180 degrees
= 135 degrees+x=180 degrees
by transposing,
x= 180 degrees-135 degrees
And, x= 45 degrees
ANOTHER METHOD:BY USING EXTERIOR ANGLE PROPERTY.
ACCORDING TO EXTERIOR ANGLE PROPERTY OF TRIANGLE: "An exterior angle of a triangle is equal to the sum of its interior opposite angles"
So, Exterior Angle E= x+ Angle G
= 111 degrees= x+ 66 degrees
By transposing, x= 111 degrees-66 degrees
= x=45 degrees.
So no matter whichever method is used, the value of x= 45 degrees.
Determine if the equations are parallel, perpendicular, or neither.
5x + 3y = 3 and 3x + 5y = -25
Answer:
neither i think..
Step-by-step explanation:
Answer:
niether
Step-by-step explanation:
A shelf in the basement held 7 one-gallon cans that were each 3/4 full of paint of the same color. Hand combines all of the paint. Hank used 3 1/3 cans of the combined paint a hallway. How many gallons of paint were left?
Answer:
1.91666667
Step-by-step explanation:
7 times 3/4 = 5.25
5.25 - 3 1/3 = 1.91666667
Y^2 - X when X = 6 and Y = 11
Answer:
When X = 6 and Y = 11, (Y^2 - X)=(11^2-6)=(121-6)=115)
Step-by-step explanation:
2. A train starts its journey with 240 passengers.
144 of the passengers are adults and the rest are children.
(a) Write the ratio Adults: Children in its lowest terms.
[2]
(b) At the first stop, 37 % of the adults and of the children get off the train.
20 adults and x children get onto the train.
The total number of passengers on the train is now 200.
(i)
How
many children got off the train?
(ii)
How
many adults got off the train?
[1]
(iii) How many adults passengers are on the train as it sets off again? [1]
(iv) What is the value of x?
[1]
Answer:
i=52
ii=32
iii=54
iv=92
Step-by-step explanation:
Comment if you need explanation
Answer:
A. 3:2
B. 31 children
(i). 35 children
(ii) 53 adults
(iii) 111 adults 89 children
(iv) The value of x is 35.
Step-by-step explanation:
PLEASE HELP and solve
The area of a recalangle that is 8 feet long and 4 feet wide is
a 12 sq ft
b22 sq ft
c 32 sq ft
d 36 sq ft
Answer:
C is the answer! You're welcome
Answer:
C is your answer
Step-by-step explanation:
8 x 4 = 32 sq ft
Hope this helps! :)
what is 9 1/2 - 5 7/12 =
Answer:
47/12, or 3 11/12
Step-by-step explanation:
9 1/2 - 5 7/12 > convert to improper fractions
19/2 - 67/12
make same denominator (12)
19/2 * 6 = 114/12
114/12 - 67/12 = 47/12
Answer:
47/12
Step-by-step explanation:
19/2-5 7/12= 19/2- 67/12=47/12
Jayvon has 33.6 points in a competition. He loses 5.5 points,
Write and then evaluate an addition expression to determine Jayvon's current points.
Answer:
33.6+(-5.5)=28.1
Step-by-step explanation:
Since positive times negative is equal to negative, we can multiply -5.5 by an addition symbol, making it an addition problem, and making it the same expression.
To evaluate the expression, we can do 33.6-5.5.
When adding or subtraction decimals, write it stacked like a normal problem, and line up the decimal places, like so.
33.6-
5.5
Then you can subtract normally, getting 28.1
what is $500,000,000 founded off to the nearest tenth
Answer:
is this a real question???
Step-by-step explanation:
Choose a point that can be added so that the relation will remain a function.
{ (-3,9), (-2,4), (2,4), (3,9) }
A.
(-2,8)
B.
(1,9)
C.
(2,10)
D.
(-3,0)
What is the equation of the line that passes through the point (-5,6) and has a slope of 0
The equation of the line that passes through the point (-5,6) and has a slope of 0 is y = 6
Equations are expressions that related two or more expressions together using an equal sign.
The formula for finding the equation of a line in point-slope form is expressed as:
y-y0 = m(x-x0) where:
m is the slope(x0, y0) is the interceptGiven the following
m = 0
(x0, y0) = (-5, 6)
Substitute the given values into the formula
y - 6 = 0 (x - (-5))
y - 6 = 0 (x + 5)
y - 6 = 0
y = 6
Hence the equation of the line that passes through the point (-5,6) and has a slope of 0 is y = 6
Learn more here: https://brainly.com/question/12441680
According to a company's website, the top 15% of the candidates who take the entrance test will be called for an interview. You have just been called for an interview. The reported mean and standard deviation of the test scores are 70 and 7, respectively. If test scores are normally distributed, what is the minimum score required for an interview?
Answer:
The minimum score required for an interview is 77.252
Step-by-step explanation:
We solve this using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Top 15% of the candidates is a ranking that is equivalent to = 100 - 15% = 85th percentile.
The z score of 85th percentile = 1.036
Mean = 70
Standard Deviation = 7
Minimum score = raw score = ???
Hence:
1.036 = x - 70/7
Cross Multiply
1.036 × 7 = x - 70
7.252 = x - 70
x = 70 + 7.252
x = 77.252
The minimum score required for an interview is 77.252
There are 20,000 animals in a zoo. There are 650 mammals and 225 reptiles that live in the zoo. what fraction of all the animals are a)reptiles b)mammals
Answer:
You have to simplify to the lowest common denominator
Step-by-step explanation:
650/20000=13/400 mammals
225/20000=9/800 reptiles
875/20000=7/160 mammals or reptiles
Hope this helped
What is a trinomial in a problem
Al terminar una obra tres albañiles cobran $16800 y se dividen el dinero a razón 5:7:9. Calcular cuánto dinero le corresponde a cada uno. Nota: colocar las cantidades de menor a mayor separadas únicamente por comas. Recuerda que no debes colocar unidades
Answer:
$4000, $5600 and $7200
Step-by-step explanation:
Let the money be 5x,7x and 9x.
Total collection of money is $16,800
ATQ,
5x+7x+9x=$16,800
21x=$16,800
[tex]x=\dfrac{16800}{21}\\\\x=\$800[/tex]
So, the values are :
5x=5(800) = $4000
7x=7(800) = $5600
9x=9(800) = $7200
help me. I'm not very good at math
determine whether the given is a rational equation, rational inequality,rational, function
y = × + 3
I will mark if anyone answer these
wrong or no respect will be report
1) what is the LCM of 3,5, and 10?
2)What are the numbers if the GCF of these numbers is 12?
Answer:
1)2⋅3⋅5=30 2 ⋅ 3 ⋅ 5 = 30 . 2)1, 2, 3, 4, 6, 12
Step-by-step explanation:
R(5. -4) reflect it across the y-axis.
Answer:
(-5,-4)
Step-by-step explanation:
reflection over y-axis makes (x,y) become (-x,y)