Answer:
x=3+√10 or x=3−√10
Let's solve your equation step-by-step.
x2=6x+1
Step 1: Subtract 6x+1 from both sides.
x2−(6x+1)=6x+1−(6x+1)
x2−6x−1=0
For this equation: a=1, b=-6, c=-1
1x2+−6x+−1=0
Step 2: Use quadratic formula with a=1, b=-6, c=-1.
x= −b±√b2−4ac
2a
x=
−(−6)±√(−6)2−4(1)(−1)
2(1)
x=
6±√40
2
x=3+√10 or x=3−√10
x=3+√10 or x=3−√10
Let's solve your equation step-by-step.
x2=6x+1
Step 1: Subtract 6x+1 from both sides.
x2−(6x+1)=6x+1−(6x+1)
x2−6x−1=0
For this equation: a=1, b=-6, c=-1
1x2+−6x+−1=0
Step 2: Use quadratic formula with a=1, b=-6, c=-1.
x= −b±√b2−4ac
2a
x=
−(−6)±√(−6)2−4(1)(−1)
2(1)
x=
6±√40
2
x=3+√10 or x=3−√10Answer:
Step-by-step explanation:
Find the value of x in the triangle shown below.
х
53°
2
97°
Given:
Consider the below figure attached with this question.
To find:
The value of x.
Solution:
Angle sum property of a triangle: According to this property, the sum of all interior angles of a triangle is 180 degrees.
Using the angle sum property of triangle, we get
[tex]x^\circ+53^\circ+97^\circ=180^\circ[/tex]
[tex]x^\circ+150^\circ=180^\circ[/tex]
[tex]x^\circ=180^\circ-150^\circ[/tex]
[tex]x^\circ=30^\circ[/tex]
Therefore, the value of x is 30 degrees.
A carousel moves in a counterclockwise direction. It makes one complete revolution every 16 seconds. Han is sitting 11 feet from the center of the carousel. Here is a view of the carousel from above. Based on the view from above, write an equation describing Han’s vertical position v, in feet, relative to the center of the carousel t seconds after the carousel starts moving.(Question 7)
Answer:
[tex]The \ vertica \ position \ of \ the \ carousel,\ v = 11 \times sin \left (\dfrac{\pi}{2} \times \left (\dfrac{t}{4} -1\right)\right )[/tex]
Step-by-step explanation:
The parameters of the motion on the carousel are;
The time it takes the carousel to make one complete revolution, T = 16 seconds
The distance Han is sitting from the center = 11 feet
The motion of the carousel can be given by the equation of sinusoidal motion as follows;
v = a·sin(ω·t + c)
Where;
a = The amplitude of the sinusoidal motion = Han's distance from the center = 11 feet
ω = The angular velocity
t = Han's time in motion =
ω = 2·π/T = 2·π/16 rad/s
c = The phase shift
v = The vertical position of the carousel
Given that at the starting point when t = 0, y = minimum, therefore, sin(ω·t + c) = sin(ω×0 + c) = sin(c) = minimum = -1
c = arcsin(-1) = -π/2 we have
Therefore, when time after the carousel starts moving = t second, we have;
The vertical position of the carousel in feet, v = 11·sin((π/8)·t) - π/2) = 11×sin((π/2)·(t/4 - 1))
Fuel efficiency, measured in miles per gallon, is a measure often considered by shoppers looking for a new car. The scatterplot shows the vehicle weight of 15 car models in pounds, plotted against their highway fuel efficiency. How would the value of the correlation coefficient change if the car weights were recorded in kilograms, rather than pounds?
Answer:
There will be no change
Step-by-step explanation:
The correlation Coefficient is a measure used in regression studies to examine the strength and type of relationship which exists between two variables (dependent and independent). The Coefficient gives a negative and positive values for negative and positive relationships respectively. The correlation Coefficient has no units and hence does not depend on the unit if measurement. Therefore. Changing the unit if measurement of a certain variable, will have no effect on the correlation Coefficient.
12 POINTS HELLPP
IM TAKING A TESTTT ASAPP
Answer: i would say 550 miles or 1,100 miles
Step-by-step explanation:
how many seconds are in a whole week?!
A. 200,400
B. 406,800
C. 604,800
D. 605,800
E. 604,000
Answer:
E 604,000
Have a nice day
how do you friend someone
Answer:
you gotta find a common ground.
Step-by-step explanation:
easiest way to make friends is to relate to people with experiences you share together :)
If your talking about how to friend someone on brainly: Go to the profile of the individual you'd like to invite and press on the Add Friend button and a request will be sent to them.
I hope this helps you make more friends!
whats the missing leg?
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2+b^2=c^2
a^2+2^2=7^2
a^2+4=49
a^2=49-4
a^2=45
a=[tex]\sqrt{45}[/tex]
a=3[tex]\sqrt{5}[/tex]
a=6.7
Help please it will mean so much thanks ❤️
Answer:
y = 14
Step-by-step explanation:
y = x^2 -5x
Let x =7
y = 7^2 -5*7
y = 49- 35
y = 14
Evaluate 2n-6+5k/3(n-9) when n=4 and k=12
[tex]\huge\text{Hey there!}[/tex]
[tex]\textsf{If n = 4 and k = 12 the substitute it into the given equation.}[/tex]
[tex]\mathsf{\dfrac{2(4) - 6+5(12)}{3(4-9)}}[/tex]
[tex]\mathsf{2\times4=\boxed{\bf 8}}[/tex]
[tex]\mathsf{\dfrac{8-6+5(12)}{3(4-9)}}[/tex]
[tex]\mathsf{8-6=\boxed{\bf 2}}[/tex]
[tex]\mathsf{\dfrac{2+(5)(12)}{3(4-9)}}[/tex]
[tex]\mathsf{5\times12=\boxed{\bf 60}}[/tex]
[tex]\mathsf{\dfrac{2+60}{3(4-9)}}[/tex]
[tex]\mathsf{2+60=\boxed{\bf 62}}[/tex]
[tex]\mathsf{\dfrac{\bold{62}}{3(4-9)}}[/tex]
[tex]\mathsf{4 - 9=\boxed{\bf -5}}[/tex]
[tex]\mathsf{\dfrac{62}{3(-5)}}[/tex]
[tex]\mathsf{3\times-5=\boxed{\bf -15}}[/tex]
[tex]\mathsf{\dfrac{62}{\bf -15}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf -\dfrac{62}{15}}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Kailey plays video games for x hours a month. Trent plays video games four hours more than Kylie and Megan plays two times more than Trent. Which expression relates the amount of time Megan spends playing video games?
Answer:
8 + 2x
Step-by-step explanation:
Given that :
Kyle's game time = x
Trent's game time = 4 hours more than Kylie = 4 + x
Megan's game time = 2 times more than Trent ; this equals ; 2 * (4 + x) = 2(4 + x) = 8 + 2x
HELP I HAVE 20 MINUTES!!!!!!!!!
At Shoe Line, there are 132 boots, which make up 24% of the shoes in the store. At Shoe Warehouse, there are 120 boots, which make up 15% of the shoes in the store.
Which store has more shoes? Justify your answer by showing your work or the strategy you used.
Answer:
Shoe warehouse
Step-by-step explanation:
24% of ____ is 132
15% of ____ is 120
first lets solve what there is at shoe line. since 24% times something is 132, something is 132/24%. Since % means out of 100, do 132/24*100 is 550.
Next we do the same thing to get 120/15 * 100 = 800. So, there are more at shoe warehouse.
hope this helped, and brainliest would be appreciated :)
Rewrite as a simplified fraction. \large{3.\overline{5} = {?}}3. 5 =?3, point, start overline, 5, end overline, equals, question mark
Given:
The number is [tex]3.\overline{5}[/tex].
To find:
The simple fraction of the given number.
Solution:
Let us assume,
[tex]x=3.\overline{5}[/tex]
Then,
[tex]x=3.555...[/tex] ...(i)
Multiply both sides by 10.
[tex]10x=35.555...[/tex] ...(ii)
Subtracting (i) from (ii), we get
[tex]10x-x=35.555...-3.555...[/tex]
[tex]9x=32[/tex]
[tex]x=\dfrac{32}{9}[/tex]
Therefore, the simplified fraction form of the given number is [tex]\dfrac{32}{9}[/tex].
A ball is kicked from a height of 3 feet above ground the height of the ball is h(t) is given by h(t) = 5t raised to the 2 power +14t+3 where t is the time in seconds after the ball is kicked. How long will it take the ball to hit the ground after kicked?
Answer:
t = -2.566s and -1.169s
Step-by-step explanation:
Given the height of the ball expressed at
h(t) = 5t²+14t+3
The ball will hit the ground at h(t) = 0
Substitute and get t
0 = 5t²+14t+3
Use general formula
t = -14+/- √14²-4(5)(3)/2(5)
t = -14+/- √196-60)/10
t = -14+/- √136/10
t =-14+/- 11.66/10
t = -25.66/10 and -2.338/2
t = -2.566s and -1.169s
Hence the ball will hit the ground at these times
The annual interest rate on a 15-year
mortgage on a house assessed at a value
Of $450 000 is 5 cents on every $1 What
is the interest paid on the mortgage for the
first year?
Answer:
The amount of interest paid is $22,500
Step-by-step explanation:
Firstly, we need the number of $1 in $450,000
That would simply be $450,000/$1 = 450,000
5 cents is same as 5/100 = $0.05
so we have to multiply 450,000 by 0.05
we have this as;
450,000 * $0.05 = $22,500
All sides of quadrilateral ABCD ABCD A, B, C, D are tangent to circle PPP. What is the perimeter of the quadrilateral below?
Answer:
The answer is below
Step-by-step explanation:
A tangent is a line which touches a circle at one point. The angle between a tangent and a circle is 90°.
The two tangent theorem states that tangent that meet at the same point are equal in length.
Therefore:
CD = c + d
but c = 5.1, hence:
CD = 5.1 + d
12.1 = 5.1 + d
d = 7
AD = a + d; but AD = 12.2, d = 7
12.2 = a + 7
a = 5.2
AB = a + b; but b = 3.3
AB = 5.2 + 3.3 = 8.5
BC = b + c = 3.3 + 5.1 = 8.4
Perimeter of ABCD = AB + BC + CD + AD = 8.5 + 8.4 + 12.1 + 12.2 = 41.2
If the square root of n = 3/2, what is the negative square root of n ?
Answer:
use math.way
Step-by-step explanation:
has the answers
Antony purchases his Play Station 5 for $1,099 from Best Buy near the Parks Mall. The sales tax is 8.25%. How much does he pay for taxes? (Round to the nearest hundredth place
Answer: $90.67
Step-by-step explanation:
Sales taxes are paid per good purchased to the IRS and are more often than not, collected at the point of sale by the seller.
The sales tax paid on the PlayStation can be calculated by the formula:
= Price of purchase * Sales tax percentage
= 1,099 * 8.25%
= $90.67
Vertical angle question, should be easy points for you
Answer:
A. ∠EYL and ∠AYS
B. ∠SYL and ∠EYA
Step-by-step explanation:
hope this helps and hope this is right. p.s i really need brainliest :)
no one has answered this one
Answer:
[tex]\displaystyle x = \frac{25\sqrt{2}}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 45°
Adjacent Leg = 25
Hypotenuse = x
Step 2: Solve for x
Substitute in variables [cosine]: [tex]\displaystyle cos(45^\circ) = \frac{x}{25}[/tex][Multiplication Property of Equality] Multiply 25 on both sides: [tex]\displaystyle 25cos(45^\circ) = x[/tex]Rewrite: [tex]\displaystyle x = 25cos(45^\circ)[/tex]Evaluate: [tex]\displaystyle x = \frac{25\sqrt{2}}{2}[/tex]I GOT A 92 ON MY MATH EXAM AND I DIDN'T STUDY LETS GOOO
btw, I need help on this
if x • y = y, what are the only 2 numbers x can be?
Answer:
???
Step-by-step explanation:
x*y=y
Well, since y is on both ends of the equation, y could be 0, because anything multiplied by 0 is 0.
So x could be anything.
---
hope it helps
Help with this one please
Answer:
v= 2
Step-by-step explanation:
[tex]6(5 - 8v) + 12 = -54\\30 - 48v + 12 = -54\\- 48v = - 54 - 30 - 12\\-48v = -96[/tex]
[tex]v = \frac{-96}{-48} = 2[/tex]
[tex]6(5-8v)+12=-54[/tex]
[tex]=30-48v+12=-54[/tex]
[tex]=-48v=-54-12-30[/tex]
[tex]-48v=-66-30[/tex]
[tex]-48v=-96[/tex]
[tex]-v=-96/48[/tex]
[tex]v=2[/tex]
-----------------------
hope it helps...
have a great day!!
Give the most precise selection
for the quadrilateral with the
following vertices.
P(0,0), Q(0,2a), R(2a,2a), S(2a,0)
A. Parallelogram
B. Rectangle
C. Square
D. Rhombus
Answer:
Its definitley square to be precise so that's my answer, but its also a rhombus
Step-by-step explanation:
assuming a is 1, regardless, graph would always be square, which is a rhombus. hope square is correct :)
need help yet again pls and ty
Answer:
72 I think
Step-by-step explanation:
Sophie spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -8.6°F. Between 9am and noon, the temperature rose 4.7°F. Between noon and 3pm, the temperature dropped 13.7°F. Between 3pm and 6pm, the temperature went down 14.1°F. What was the temperature at 6pm?
Answer:
Step-by-step explanation:
I have the same question :(((
sry
The temperature at 12:00 pm was 5oF. The temperature then went down by 1.2oF every hour till 7:00 p.m. What was the temperature at 7 pm?
If you answer and show work I’ll make you brainliest pls help
Answer:
41.6 degrees (i think, sorry if it's not.)
Step-by-step explanation:
if the amount of time from 12:00 pm to 7:00 pm was 7 hours, you're going to need to take into account that you need to lower 50 degrees 7 times by 1.2 degrees. (50 - 1.2 times 7)
Write each quadratic expression in standard form. Draw a diagram if needed.
(x+4)(x-1)
Answer:
The standard form of the quadratic equation is x² + 3·x - 4 = 0
Step-by-step explanation:
The standard form of a quadratic equation is a·x² + b·x + c = 0
Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;
(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0
The standard form of the quadratic equation is x² + 3·x - 4 = 0
The graph of the equation created with MS Excel is attached
HELP!!! Due in 20 minuets
Answer:
the one you have selected is right
Step-by-step explanation:
Mr. Kurris is 50 years old. In four years, his house will be paid off and his daughter will be finished with collage. He wants to take out a five-year level-term life insurance policy with a face value of $750,000. The monthly premium is $61.
Complete question is;
Mr. Kurris is 50 years old. In 4 years, his house will be paid off and his daughter will be finished with college. He wants to take out a 5-year level-term life insurance policy with a face value $750,000. The monthly premium is $61,
a. What will be his total cost for this policy over the 5-year period?
b. If he dies after paying for the policy for 16 months, how much will the insurance company pay his beneficiaries?
c. If he does not die during the 5 years, how much does the insurance company make on this policy?
d. If he dies after paying for the policy for 13 months, how much will the insurance company lose on this policy?
Answer:
A) $3660
B) $750000
C) $3660
D) $749,207
Step-by-step explanation:
A) Since he wants to take out a five-year level-term life insurance policy, then number of payments for 5 years is;
12 months × 5 = 60 payments.
Since monthly premium is $61, then total cost = 61 × 60 = $3660
B) This is a level-term life insurance policy and so he will be paid the same amount over the entire period of the insurance policy.
Thus If he dies after paying for the policy for 16 months, his beneficiaries will still be paid same $750000
C) if he does not die during the 5 years, the amount the insurance company will make is same as the amount he is due for his premium which is $3660.
D) If he dies after paying for the policy for 13 months, amount that the insurance company will lose is;
>> 750000 - 13(61) = $749,207
Guys that true?
when you’re dividing do you put the bigger number first and then the smaller one or the opposite because you get different answers
Answer:
it's true for example 10/5=2 or 5/10=0.5
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
You can divide any way you want but commonly you put the bigger number in front.
Step-by-step explanation:
Which could be a graph which represents a quadratic that is a perfect square trinomial?
Answer:
The top choice.
Step-by-step explanation:
If a quadratic function is a perfect square trinomial, its graph will intersect the x-axis exactly once.
[tex]y=(x+1)^2\\[/tex]
Expanded, this is [tex]y=(x+1)(x+1)[/tex]
There is only one value of x which makes the "two" factors equal to zero, and that is -1, where the graph touches the x-axis.
See the attached graph. [tex]y=(x+1)^2[/tex] is the purple graph.
The green graph is an example of a quadratics which is NOT a perfect square. It's the function [tex]y=x^2-x-2[/tex].