Answer:
(a) x=1.5 or x=-4.5
(b) x=-1
(c) x=10 or [tex]x=\frac{4}{3}[/tex]
Step-by-step explanation:
(a) |2x+3|=6
⇒ 2x+3=6 or 2x+3=-6
⇒ 2x=3 or 2x=-9
⇒ x=1.5 or x=-4.5
(b) |x-2|=x+4
⇒ x-2=x+4 or x-2=-(x+4)
x-2=x+4
-2≠4 x∈Ф
or x-2=-(x+4)
x-2=-x-4
2x=-2
x=-1
(c) |2x-7|=|x+3|
⇒ 2x-7=x+3 or 2x-7=-(x+3)
2x-7=x+3
x=10
or 2x-7=-(x+3)
2x-7=-x-3
3x=4
[tex]x=\frac{4}{3}[/tex]
The solutions of modulus equations are shown below:
(a) x=1.5 or x=-4.5
(b) x=-1
(c) x=10 or x=4/3
Step-by-step explanation:
(a) |2x+3|=6
⇒ 2x+3=6 or 2x+3=-6
⇒ 2x=3 or 2x=-9
⇒ x=1.5 or x=-4.5
(b) |x-2|=x+4
⇒ x-2=x+4 or x-2=-(x+4)
⇒x-2=x+4
⇒-2≠4 x∈Ф
or x-2=-(x+4)
⇒x-2=-x-4
⇒2x=-2
⇒x=-1
(c) |2x-7|=|x+3|
⇒ 2x-7=x+3 or 2x-7=-(x+3)
⇒2x-7=x+3
⇒x=10
or 2x-7=-(x+3)
⇒2x-7=-x-3
⇒3x=4
⇒x=4/3
Therefore, the solution of modulus equation are as:
(a) x=1.5 or x=-4.5
(b) x=-1
(c) x=10 or x=4/3
To learn more about "Modulus function" here:
brainly.com/question/13586158
1) Find two positive consecutive integers that have a product of 30?
Answer:
{-6,-5} and {5,6}
Step-by-step explanation:
let me know if this is what you are looking for :)
From the figure which is greater between a and Q
Answer:
a
Step-by-step explanation:
the horizontal distance is shorter so the angle will be greater.
added:
tan a = AD/2a
tan Q - AD/3a
Just looking at the fractions AD/2a and AD/3a, the denominator of AD/2a is smaller so the resulting calculation will be greater, hence a is the larger angle.
Trigonometry
HELP ASAP !
Answer:
8.9
Step-by-step explanation:
X= Tan( 52 ) · 7
X= 8.959591425
Round to the nearest 10th or 100th
Choices ( below )
X= 8.9596
X= 8.9510
X= 8.96
X= 8.10
X= 9
I Hope this helped
Have a good day
Ana,beto y Carla son confeccionará de polos,por cada 12 polos que confecciona Ana,Beto confecciona 7,mientras que por cada 28 polos que confecciona Beto,Carla confecciona 15 si el fin de semana Carla confecciona 198 polos más que Carla,cuántos polos confecciono Beto ese día?
Resolviendo un sistema de ecuaciones veremos que polo hizo 170 polos.
¿Cuantos polos confecciono Beto ese día?Sabemos que por cada 12 polos que confecciona Ana, Beto hace 7.
Por cada 28 polos que confecciona Beto, Carla confecciona 15.
Y sabemos que Ana hizo 198 polos mas que Carla.
Definamos las variables:
C = polos que hizo Carla.
A = polos que hizo Ana
B = polos que hizo Beto.
Podemos escribir las ecuaciones:
A = C + 198
B = (7/19)*A
B = 28/(28 + 15)*C
Tenemos un sistema de ecuaciones, las segundas dos son las que obtenemos con los ratios que nos proporcionan.
Reemplazando la primer ecuacion en la segunda obtenemos el sistema:
B = (7/19)*(C + 198)
B = 28/(43)*C
De la segunda ecuacion podemos obtener:
C = B*(43/28)
Remplazando eso en la otra ecuacion obtenemos:
B = (7/19)*(B*(43/28)+ 198)
Ahora podemos encontrar el valor de B.
B = 0.57*B + 72.95
B - 0.57*B = 72.95
B*0.43 = 72.95
B = 72.95/0.43 = 169.6
Redondenado, B = 170, ese es el número de polos que Beto confecciono.
Aprende más sobre sistemas de ecuaciones:
https://brainly.com/question/13729904
#SPJ1
-8x^43
What is the end behavior? Please show work, for instance, x→∞
Answer:
x→∞, f(x)→ - ∞
x→ - ∞, f(x)→∞
Step-by-step explanation:
A spinner with sections labeled 1-8 has an equal chance of landing on each numbe. Find each probability.
P(even number)
76 is what percent of 475?
Answer:
361
475*76%=361
Hope this helped you out!!
Answer:
16
Percentage Calculator: 76 is what percent of 475? = 16.
Step-by-step explanation:
Answered by none other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!
Hope this helped!!
you bought a magazine for 6 dollars and three candy bars you spend a total of 12 dollars how much did each candy cost?
Plssss help
Answer:
$2
Step-by-step explanation:
step 1: 12-6=6
Step2: 6 divided by 3
9 cm
4 cm
1
14 cm
5 cm
Answer:
this is D
Step-by-step explanation:
Please help me! I really don't understand this.
Answer:
B
Step-by-step explanation:
x is less than -1 and the point is on -1.
Rotate the vector (3,-2) 90°
counter-clockwise about the
origin.
If the coordinate is (3, -2) then after the 90° counter-clockwise about the origin. Then new coordinate will be (2, 3).
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Convert the cartesian coordinate to the polar coordinate. Then we have
[tex]r = \sqrt{3^2 + (-2)^2}\\\\r = \sqrt{9 + 4 }\\\\r = 3.61\\\\\theta = \tan ^{-1}\dfrac{-2}{3}\\\\\theta = -33.69^o\\\\\theta = 326.31^o[/tex]
Then 90° counter-clockwise about the origin, then the angle will be
θ = 326.31 + 90 = 431.31
But θ is from 0 to 360. Then
θ = 431.31 - 360 = 56.31
Then convert the polar coordinate to the cartesian coordinate. Then we have
x = r cosθ
x = 3.61 × cos 56.31
x = 2
and
y = r sinθ
y = 3.61 × sin 56.31
y = 3
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
#SPJ2
Answer:
-2,-3
Step-by-step explanation:
Which of the following exponential functions represents the graph below?
Answer:
d
Step-by-step explanation:
Solve the following inequality.
5 + m > -2 OR 2m < -20
m >
[?] OR m <[ ]
Answer:
m >-7 or m < -10
Step-by-step explanation:
5+m >-2
subtract 5 from both sides
⇒5-5+m > -2-5
⇒m > -7
or..
2m <-20
divide both sides by 2
2m÷2 < -2÷2
⇒m= < -10
hope it helps
have a great day!! ^_^
Solve the equation.
F - 8/9 = 5/8
f = ?
Answer:
f=64/27
Step-by-step explanation:
hope this helps
Answer:
F= 1 37/72
Step-by-step explanation:
find the value of each variable
Answer:
Step-by-step explanation:
12.)
x = 18
y = 9√3
14.)
x = 16/√2
y = 16/√2
16.)
x = 19
y = 19
Find the circumference of the circle. Round to the nearest hundredth.
what is BD?
please help i can’t fail another test
Answer:
C. 8
Step-by-step explanation:
BD is the altitude of the right triangle.
Apply the altitude theorem of a triangle to find BD. Based on the theorem, thus:
h = √(xy)
Where,
h = BD
x = 16
y = 4
Plug in the values
BD = √(16*4)
BD = √64
BD = 8
Square root 2x + 3 equals X
Using the graph, determine the coordinates of the vertex of the parabola.
Answer:
vertex is 1, -6
Step-by-step explanation:
What is the determinant of A=
Step-by-step explanation:
the determinant of A is A
someone please help me with my work and please drop your email so I can share you with the document
Answer:
uADHTiszA?kv
Step-by-step explanation:
Solve for x
A) -12
B) 8
C) 5
D) 7
Answer:
B. 8
Step-by-step explanation:
9x + 1 = 8x + 9
x = 8
Riley purchased a 30-day International cell phone plan for use during winter break. There is a one-time fee of $35 and it includes 150 MB of data usage. Each extra megabyte,
or part thereof, of data costs $0.28. Find the cost of the plan if he uses 388 MB of data during the trip.
Answer:
the cost of the plan in the case when 388MB is used is $101.64
Step-by-step explanation:
The computation of the cost of the plan in the case when 388MB is used
Given that
One time fee is $35
And, it involves 150 MB of data usage
Also for the extra megabyte it charges $0.28
So for 388MB, the cost of the plan is
= $35 + 0.28 × (388 MB - 150 MB)
= $35 + $66.64
= $101.64
Hence, the cost of the plan in the case when 388MB is used is $101.64
Use the arc length formula and the given information to find r.
s = 16 cm, 0 = 48°; r = ?
Answer:
i converted θ to radians, then put that and the length of the arc into the formula shown.
HELP ME PLEASE ASAP
Answer:
33
Step-by-step explanation:
angles on a straight line sum up to 180°
104+x+x+10=180
114+2x=180
2x=180-114
2x=66
x=33
Answer:
C. 33
Step-by-step explanation:
So we have 180 degree line here, so lets take 104 and add the 10 from the expression inside the parenthesis on the other angle. We add 43 to 114 and get 147. We can then add 147+33 and get 180 which is equivalent to the angle.
African elephants can eat up to 500 pounds of vegetation in one day. How many pounds of vegetation could an elephant eat in a week?
pls answer its due to tomorrow ;-;
Answer:
they would eat 3500 pounds of food in 1 week
Step-by-step explanation:
its simple math just multiply 500 by 7 and you would get 3500
I will mark branliest if correct
Answer:
I believe it would be 1
Step-by-step explanation:
Jesse has already daved $276 for a trip to Florida. This is 75% of his goal. How much money does he want to save?
Answer:
Total savings= $368
Step-by-step explanation:
Giving the following formula:
Jesse has already saved $276 for a trip to Florida. This is 75% of his goal.
To calculate the total amount to be saved, we need to use the following formula:
Total savings= amount saved / saving percentage
Total savings= 276 / 0.75
Total savings= $368
y=6x^2-12x-1 minumim function value
Answer:
(−1,5)
Step-by-step explanation:
hope this helpes
Answer:
Step-by-step explanation:
A city mayor plans to build two new
parks. Each park will cover 1.45 acres.
How many acres will the new parks
cover altogether? Explain.
Most
represe
Answer: 2.90 acres.
Step-by-step explanation:
1.45x2 or 1.45 + 1.45
