How do I solve this equation and check the solutions?
Answer:
10+√3=4x²
Step-by-step explanation:
Answer:
{12}
Step-by-step explanation:
isolate the radical expression
[tex]\sqrt{3x} = x-6[/tex]
raise both sides to the index of the radical in this case 2
[tex](\sqrt{3x} )^{2} = (x-6)^2[/tex]
[tex]3x = (x-6)^2[/tex]
foil the right hand side or multiply (x-6)(x-6)
[tex]3x = x^{2} -6x-6x+36[/tex]
subtract 3x from both sides and combine like terms
[tex]0=x^{2} -15x+36[/tex]
factor
[tex]0=(x-12)(x-3)[/tex]
set each factor equal to zero and solve for x
x - 12 = 0 and x - 3 = 0
x = 12 and x = 3
Check each answer by plugging them individually into the original equation if the come out true they are a solution.
Check :
[tex]\sqrt{3(12)}+10=12+4\\\sqrt{36}+10 = 8\\6+10 = 16\\16=16[/tex] [tex]\sqrt{3(3)}+10=3+4\\\sqrt{9}+10=7\\3+10=7\\13\neq 7[/tex]
So the only solution is 12.
How is 4.209 written using words?
Answer:
Four and two hundred nine thousandths
Answer
four and two hundred nine thousandths. or, simpler: four point two hundred nine. or, even simpler: four point two zero nine.
Step-by-step explanation:
Given the measure of two of the angles, find the measure of the third angle.
P.
S
SAX = 143°
ZPAX = 56°
х
What is the measure of SAP?
(Simplify your answer.)
Answer:
87°
Step-by-step explanation:
subtract 143-56 to get the remaining angle
Write the equation of the line fully simplified slope-intercept form.
Answer:
y= -1/3x-7
Step-by-step explanation:
80$ markup 25% help...
Answer:
20!
Step-by-step explanation:
Answer: 25% of 80 is 20 so if you need to add them it would be 100 and if you need to minus it would be 60
Step-by-step explanation:
algebra nation geometry
Answer:
What?
Step-by-step explanation:
2/3 ( 12 n + 6 ) − 1 5 ( 10 n − 2 )
Answer:
34-158n
Step-by-step explanation:
First factor:
8n+4-150n+30
Then combine like terms
34-158n
Answer: -142n+34
Step-by-step explanation:(2/3)(12n)+(2/3)(6)+(-15)(10n)+(-15)(-2)
=-142n+34
Find g(3) -7
help please
Answer:
- 10
Step-by-step explanation:
g(x) = - x² + 2x
g(3) - 7 = - (3)² + 2(3) - 7 = - 10
The following is an example of the ____________
(a+b)+c=a+(b+c)
A.Commutative Property
B.Identity Property
C.Distributive Property
D.Associative Property
Answer:
D.Associative Property
Step-by-step explanation:
Answer:
D. Accociative Property
Step-by-step explanation:
You switched around the parenthesis!
Find the side indicated by the variable. Round to the nearest tenth.
PLEASE HELP
Answer:
I think it would be 10.1 but I'm not 100% sure
ANSWER NEEDED ???????
What is the slope of a line that is perpendicular to the graph of y = 4/5x+9?
Answer:
m = -5/4
General Formulas and Concepts:
Algebra I
The slope of the perpendicular line is the negative reciprocal of the original slope.
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope-Intercept Form (Original): y = 4/5x + 9
Step 2: Break Original Function
Slope m = 4/5
y-intercept b = 9
Step 3: Find slope of perpendicular line
Take the negative reciprocal.
Perpendicular Slope m = -5/4
In the year 2007, a company made $6.6 million in profit. For each consecutive year after that, their profit increased by 13%. How much would the company's profit be in the year 2010, to the nearest tenth of a million dollars?
Answer:
$9.5 million
Step-by-step explanation:
Profits = $6.6 million
Each year increase = 13% = 0.13
2007 - 2010 = 3 years
Profits = 6.6(1 + .13)^3
= 6.6(1.13)^3
= 6.6 × 1.442896
= $9.5231202 million
Approximately $9.5 million to the tenths of a million dollars
WHO WOULD WIN IN A FIGHT?
A SHAOLIN MONK vs A NAGA SADHU
Answer:
Shaolin Monk
Step-by-step explanation:
They are epic gamers. no but fr
One baseball team played 36 games throughout their entire season. If this baseball team won 18 of those games, then what percentage of their games did they win?
Given the following information, write the linear equation in slope-intercept form.
3. slope = 1/3; y-intercept = -1
4. slope = 2/5; y-intercept = 0
5. slope = -1; y-intercept = 4
Answer:
3) y = 1/3x - 1
4) y = 2/5x + 0 or just y = 2/5x
5) y = -1x +4
Step-by-step explanation:
because i aint never seen two pretty best friends, its always one of em gotta be ugly
Complete the point-slope equation of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis. Use exact numbers. y-(-1)=y−(−1)=y, minus, left parenthesis, minus, 1, right parenthesis, equals
Answer:
y+1 = 3/4(x-1)Step-by-step explanation:
Given the coordinates of a line, (1, -1) and (5, 2), we are to find the equation of the line in point-slope form.
The point slope form of the equation is generally expressed as;
y -y0 = m(x-x0)
m is the slope
(x0, y0) is the point
Get the slope first;
m = y2-y1/x2-x1
m = 2-(-1)/5-1
m = 3/4
Substitute any of the point sat=y (1, -1) and m = 3/4 into the point slope form of the equation
y - (-1) = 3/4 (x-1)
y+1 = 3/4(x-1)
Hence the required equation is y+1 = 3/4(x-1)
which term in the arithmetic sequence 11, 4,-3 . . . is -129?
Answer:
23rd term
Step-by-step explanation:
Plz mark as Brainliest!
3x - 5y - z + 13
pls show your work
3x-5y-z+13.
it is simplified all the way there is nothing to add
What is the midpoint of the line segment that has endpoints (3,8) and (1,−4) ?
Answer:
D
Step-by-step explanation:
Midpoint Formula:
[tex]\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}[/tex]
[tex]\frac{3+1}{2}[/tex] ⇒ [tex]\frac{4}{2}[/tex] ⇒ [tex]2[/tex]
[tex]\frac{8+-4}{2}[/tex] ⇒ [tex]\frac{8-4}{2}[/tex] ⇒ [tex]\frac{4}{2}[/tex] ⇒[tex]2[/tex]
[tex](2,2)[/tex]
A survey was conducted to see how many people ride a bus to school everyday. 160 people reported that they ride the bus to school everyday. This number represents 80% of the people surveyed how many people were surveyed.
Answer:
200
Step-by-step explanation:
160/x=80/100 find x by cross multiplying meaning 80x=16000
16000/80=x
7,900 dollars is placed in an account and gains an annual interest rate of 5.5%. Which of the exponential equations below best models this situation? I need a Answer fast please.
Answer:
I don't the answer but the next person will answer this right.
help with math hw please
Answer:
x = 4
Step-by-step explanation:
All of the sides are the same so every angle is 17x-8.
Every triangle adds up to 180 degrees.
3(17x-8)=180
51x-24=180
+24 +24
51x=204
x= 4
Zuri is stuck in traffic. She notices that she only drove 3 miles in 15 minutes. Find Zuri's speed in miles per minute. Express your answer as a decimal (which will be less than 1).
Answer:
0.2 miles per minutesStep-by-step explanation:
We are expected to solve for speed with which she moves
Step one:
given data
distance = 3 miles
time taken t= 15 minutes
Step two:
we know that speed is
Speed= distance/time
Speed= 3/15
Speed= 1/5
Speed=0.2 miles per minutes
PLEASE ANSWER I AM ON A TIMED TEST
What value of b will cause the system to have an
infinite number of solutions?
y = 6x - b
-3x+ 1/2=-3
b =
A 2
B 4
C 6
D 8
M is the midpoint of CB, CM = 3x+1, and MB = 5x−9.
Determine the value of x.
Answer:
x = 5
Step-by-step explanation:
Since both sides are given, set both sides equal to eachother.
3x + 1 = 5x - 9
Segment CM is on the left and segment MB is on the right. From now on, solve for x.
Step 1: Isolate x by itself by subtracting the lesser value
3x + 1 = 5x - 9
-3x -3x the x's on the left cross out
---------------------
1 = 2x - 9
+9 +9 having x on one side
----------------
10 = 2x
__________________________________________________________
Step 2: Divide each side by 2 to get rid of x's coefficient
10 = 2x
/2 /2
----------
5 = x
Solution: x = 5
__________________________________________________________
Solving for CB: Substitute x for both sides since x = 5
3(5) + 1 = side CM
15 + 1 = side CM
16 = side CM
__________________________________________________________
Solving for CB: Solve for the other side (segment MB)
5(5) - 9 = side MB
25 - 9 = side MB
14 = side MB
__________________________________________________________
Solving for CB: Lastly, add up the sides
16 + 14 = segment CB
30 = segment CB
__________________________________________________________
Applying the knowledge of midpoint of a segment, the value of x = 5.
Given:
[tex]CM = 3x+1\\\\MB = 5x-9[/tex]
To solve this, we would apply our knowledge of Midpoint of a Segment to create an equation that will help us solve for the value of x.
Since M as a midpoint of CB, will divide CB into equal segments.Thus:
Given that M is a midpoint of CB, therefore,[tex]CM = MB[/tex]
Substitute[tex]3x + 1 = 5x - 9[/tex]
Collect like terms[tex]3x - 5x = -1 - 9\\\\-2x = -10[/tex]
Divide both sides by -2[tex]x = 5[/tex]
Therefore, applying the knowledge of midpoint of a segment, the value of x = 5.
Learn more here:
https://brainly.com/question/17877300
HELPP PLEASE !!!!!!!!! ASAP
Answer:
x² + 5x + 6 = 0
Step-by-step explanation:
The zeros of quadratic function is (- 3) and (- 2)
The coordinates of vertex are (- 2.5, -0.25)
(x + 3)(x + 2) = 0
x² + 5x + 6 = 0
Multiply. Express each product in lowest terms.
1:4/5x 1/
I NEED HELP ILL GIVE BRAINLIEST
State the slope and y-intercept of the graph of y=−25x+2
Answer:
slope=-25 y-intercept=2
Step-by-step explanation:
Answer: Slope=-25
y-int=2
Step-by-step explanation: y=mx+b, m is the slope and b is the y-int. The slope is the number in front of x like -25x that is -25. The y-int is the next to the slope which is 2.
The movie theater makes $750 in a hour period, how many hours will it take for the theater to make $2575?
Answer:
3.43 hrs
or
3 13/30
orrrr
103/30
Step-by-step explanation: