Answer:
x1 = -3-[tex]\sqrt{6} \\[/tex] , x2 = -3+[tex]\sqrt{6}[/tex]
Step-by-step explanation:
x = [tex]\frac{-6+-\sqrt{6x^{2} -4 * 1 * 3} }{2 * 1}[/tex]
x = [tex]\frac{-6+- \sqrt{24} }{2}[/tex]
x = [tex]\frac{-6 +2\sqrt{6} }{2}[/tex]
x = [tex]\frac{-6 - 2\sqrt{6} }{2}[/tex]
x = -3 + [tex]\sqrt{6}[/tex]
x = -3 - [tex]\sqrt{6}[/tex]
y=2x+5,y=0.5x-1 solve
Answer:
y=2x+5............(1)
y=0.5x-1...........(2)
Step-by-step explanation:
equalizing equation (1)&(2),we get
2x+5=0.5x-1
2x-0.5x=-1-5
1.5x=-6
x=-6/1.5=-4
substituting value of x in equation (1),we get
y=2×-4+5=-8+5=-3
A city has a population of 350,000 people, suppose that each year the population grows by 5%. What will the population be
after 14 years?
Answer:
595,000
Step-by-step explanation:
find 5% of the present population
5/100*350,000 =17,500
there fore the population increases by 17,500 yearly
in 14 yrs time
=(14*17500) + 350,000
=245000+350000
=595000
Many U.S. employees received a 3% raise in 2012. Suppose an employee made $47,000 in 2011 and received a 3% raise. What did she make in 2012?
Answer:
48,410
Step-by-step explanation:
47,000 + 3% = 48,410
you start at 5,4 and move 2 units left and 2 units down
Answer:
(3,2)
Step-by-step explanation:
13 = x + 5
Thank you
Answer:
X = 8 because 8 + 5 = 13
Step-by-step explanation:
Answer:
X=8
Step-by-step explanation:
13=X+5
you want the X to be alone so shift whatever is beside it to the other side with changing the sign
13-5=X
8=X
35 = -7a + 14
Solve for a
Answer:
a = -3
Step-by-step explanation:
35 = -7a + 14
-14 + 35 = -7a + 14 - 14
21 = -7a
21/-7 = -7a/-7
-3 = a
a = -3
Answer:
-3=a
Step-by-step explanation:
35=-7a+14
subtract 14
21=-7a
divide both sides by -7
-3=a
Evaluate the expression when a=3, b=2, and c=12: 6+a
Find the value of x so that f(x)=3
Answer:
f(x) = (1/3)x - 2
f(x) = (1/3)(3) - 2
f(x) = 1 - 2 = -1
Step-by-step explanation:
f(x) usually refers to a function not a multiplication of two variables
What is the mean average of 100, 75, 40, 90, 80, 100, 92, 88, 80, 84, 81?
Answer:
The mean average is 82.727272727273
Answer:
82.727272727272727272727272728
Step-by-step explanation:
(100+75+40+90+80+100+92+88+80+84+81)/11
ASAP ASAP ASAP ASAP MATH MATH MATH homework
Answer:
$20
Step-by-step explanation:
Simple, if he sold 16 pretzels, and each one costs $1.25, then multiply the cost by how many:
16X1.25=20
So he got $20
I hope this helps!
Answer:
20
Step-by-step explanation:
36 = 4x
Thank you | (• ◡•)|
Answer:
x = 9
Step-by-step explanation:
Un dirigible que está volando a 800 m de altura, distingue un pueblo con un ángulo de depresión de 12°. ¿A qué distancia del pueblo se halla?
Answer:
3764 m
Step-by-step explanation:
Resolvemos usando la función trigonométrica de tangente.
tan θ = Opuesto / Adyacente
θ = Ángulo de depresión = 12 °
Opuesto = 800m
Adyacente = Distancia de la ciudad = x
Cruz multiplicar
bronceado 12 = 800 / x
Cruz multiplicar
bronceado 12 × x = 800
x = 800 / tan 12
x = 3763.7040876 m
Aproximadamente = 3764 m
please help me on this will give you brainliest!
Answer:
56 Degrees, 132 Degrees
Step-by-step explanation:
First, a complementary angle is the angle that adds up to 90 degrees while a supplementary angle adds up to 180 degrees. To find A, simply do [tex]90-34=56[/tex]. To find B, simply do [tex]180-48=132[/tex].
If it took 10 hours to mow
of 15 lawns, then at that
rate, how many lawns could be sell in : mowed in 24 hours? What was the
rate of lawns mowed per hour?
Which of these lengths could be the sides of a triangle?
A) 5 cm, 19 cm, 14 cm
B) 14 cm, 24 cm, 8 cm
C) 19 cm, 5 cm, 15 cm
D) 24 cm, 14 cm, 9 cm
Answer:
c
Step-by-step explanation:
in order for it to be a triangle the smaller sides have to add up to be greater than the longest side
for a 5+14=19 so that is not a triangle because the side dont add up to be greater than 19
for b 14+8=22 so that is also not a triangle because the sides dont add up to be greater than 24
for c 5+15=20 so that is a triangle because to 2 shorter sides added are greater than the longest side
for d 14+9=23 so that is not a triangle because the two smaller sides dont add up to be greater than 24
When buying tickets to a play online, they cost $12.75 per ticket plus a $12 fee per order. When buying tickets at the box office, they cost $15.75 per ticket. The total cost, c, of n people buying tickets for the play using either method to purchase tickets can be represented by an equation. Write the system of equations. Choose the correct answer below.
Answer:
c = 12.75n + 12
c = 15.75n
Step-by-step explanation:
Let
c = total cost of the ticket
n = number of people buying tickets
Buying tickets online
c = 12.75n + 12
Buying from the box office
c = 15.75n
This can be represented by the system of equation:
c = 12.75n + 12
c = 15.75n
1. Angela was doing her homework when her dog bit
off a piece of paper. All she had left was the start
of the sequence: 4, 12, ... and the fact that 972 was some term of the sequence.
a. If the sequence is arithmetic, what is the equation of the nth term and what number term is 972?
Answer:
The equation is 8n-4 and 972 is the 122nd term of the sequence
Step-by-step explanation
12-4=8
12-8=4
8n+4
972+4=976
976/8=122
What is the point on the unit circle for the angle below? Help Res 60° (1.0) 2 ?] 2 ) 9 2 Enter
Answer:
1 and 3
Step-by-step explanation:
Answer:
The answer is
[tex] \frac{1}{2} \: and \: \frac{ \sqrt{2} }{2} [/tex]
Step-by-step explanation:
Let The point (X, Y)
Since half of the diameter is equal to 1
Then
[tex] {x}^{2} + {y}^{2} = 1[/tex]
Why is the measurement of angle is equal to 60, this triangle was equal
Then
[tex] {(x - 1)}^{2} + {y}^{2} = 1[/tex]
By comparing the equals together
[tex] {x}^{2} = {(x - 1)}^{2} \\ {x}^{2} = {x}^{2} - 2x + 1 \\ 2x = 1 \\ x = \frac{1}{2} \\ Compensation \: in \: any \: equation \\ then \: y = \frac{ \sqrt{2} }{2} [/tex]
What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?
y = - 2 x + 2
y = 2 x - 2
y = 2 x + 2
Answer:
y = 2x + 2
Step-by-step explanation:
The general form
is;
y = mx + b
where m is the slope and b is the y-intercept
so we have;
y = mx + 2
To get m, substitute the point (-1,0)
So we have
0 = -m + 2
m = 2
So the equation is;
y = 2x + 2
CAN ANYONE PLEASE HELP ME ?!?!?! I NEED HELP WITH MATH IF YOU HAVE A COUPLE MINUTES CAN YOU PLEASE HELP?! I NEED HELP WITH MATH, SYSTEMS OF EQUATIONS IN 9TH GRADE MATH TO BE SPECIFIC
Answer:
Ok ill help whats the problem
Step-by-step explanation:
Solve the system of equations by graphing. [x+y=4 7x-6y=54
Answer:
(x,y)=(6,-2)Step-by-step explanation:
to understand thisyou need to know about:linear equationsystem of linear equationsolving system of linear equation by graphingPEMDASgiven:[tex] \begin{cases} \sf x + y = 4 \\ \sf7x - 6y = 54 \end{cases}[/tex]tips and formulas:to solve system of linear equation by graphing we have to simplify the linear equations to slope-intercept formslope intercept form:y=mx+blet's solve:let's simplify first linear equation to slope -intercept form
x+y=4
y=-x+4
table for this equation
see the first attachment picturelet's simplify first linear equation to slope -intercept form
[tex] \sf7x - 6y = 54[/tex]
[tex] \sf - 6y = - 7x + 54 \\ \sf \frac{ - 6y}{ - 6} = \frac{ - 7}{ - 6} x + \frac{54}{ - 6} \\ \sf y = \frac{7}{6} x - 9[/tex]
table for this equation
see the second attached picturesolutions by graphing the system of linear equation
see the last attached picturenote: the red line is for first equation as well as the green line is for second equation and the black dot is the coordinates of the solutions of x and y
GEOMETRY: You are building a shelf that fits in a corner. In the figure, the entire shelf is IJK . Each unit in the coordinate plane represents one inch.
Answer:
A= 12.5 inches²
Step-by-step explanation:
a=1/2bh
a=1/2(5)5
a=1/2(25)
a= 12.5
Find the values of x and y - will give brainliest if right
Answer:
x=31 and y=45.........
Answer:
4x=3y-11
3y-11=180-56
3y-11=124
3y=135
y=45
4x=124
x=31
Step-by-step explanation:
Which of the following is the same as 4*39*23
Answer:
What are the answer choices if there are any
Step-by-step explanation:
I need help ASAP! Awarding 30 points
Answer:
its b or c
Step-by-step explanation:
oof oof oof b or x
39 divided (2+1) - 2x(4+1)
the answer is,
[tex]13 - 10x[/tex]
HURRYYY!!
Which of the following expressions is correctly written in scientific notation?
32.1 x 107
7.31 x 10-2
0.22 x 10-
Answer:
The middle one
Step-by-step explanation:
What is the rate of change of the function
y= - 3x + 2?
Answer:
x = 2/3
Step-by-step explanation:
Answer:
X=2/3 answer this is of your question
The population of a certain city be modeled by y=7870(1.01)^x where x is the number of years since the city was founded and y is the population.
Answer:
B.
Step-by-step explanation:
We are given the function:
[tex]y=7870(1.01)^x[/tex]
Which represents the population of a certain city x years after it was founded.
The y-intercept is the y-value when x = 0. So:
[tex]y(0)=7870(1.01)^0=7870(1)=7870[/tex]
If x = 0, this means that zero years have passed since the city was founded.
So, the y-intercept represents the initial amount of people when the city was founded (in this case, there were 7870 people).
The correct answer is B.
The diameter of a circle measures 14ft. What is the circumference of the circle?