Answer:
We know that the function IxI is such that:
IxI = x if x ≥ 0
IxI = -x if x < 0.
In this case, we have:
A = I3x - 6I + 2
If we do the same as above, we can write:
A = (3x - 6) + 2 if (3x - 6) ≥ 0
Let's look at the condition in the right, let's isolate the variable:
(3x - 6) ≥ 0
3x ≥ 6
x ≥ 6/3 = 2
Then the condition:
(3x - 6) ≥ 0
is equivalent to:
x ≥ 2
Then we can write:
A = (3x - 6) + 2 if x ≥ 2
If we simplify it further, we get:
A = 3x - 6 + 2 if x ≥ 2
A = 3x - 4 if x ≥ 2
This is what we wanted to prove.
An expression that is equal to 28.3
Answer:
18+10.3
Step-by-step explanation:
The expression doesn't have to include a variable, so you can pick two random numbers that add up to 28.3. In this case, I used 18 and 10.3. Simple.
If f(1) = 6 and f(n) = 5f(n - 1) then find the value of f(6).
9514 1404 393
Answer:
18750
Step-by-step explanation:
The recursive relation describes a geometric sequence with a first term of 6 and a common ratio of 5. The general term will be ...
an = 6·5^(n -1)
So, the 6th term will be ...
a6 = 6·5^(6-1) = 6·3125
a6 = 18750
Solve the following equation : 4y - 7 = 5
Answer:
Y=3
Step-by-step explanation:
Multiply 4x3 to get 12. 12-7=5.
Hope it helps!
Answer:
3
Step-by-step explanation:
4y=5+7
4y=12
y=12/4
y=3
La suma de dos números es 81. La diferencia de los mismos dos números es 33. Escribe un sistema de ecuaciones para representar esta situación. Luego encuentra los números.
Answer:
a) Escribe un sistema de ecuaciones para representar esta situación.
x + y = 81 ...... Ecuación 1
x - y = 33 ....... Ecuación 2
b) Los dos números son: 57 y 24
Step-by-step explanation:
Estamos tratando con 2 números
Dejar
El primer número = x
El segundo número = y
La suma de dos números es 81.
x + y = 81 ...... Ecuación 1
La diferencia de los mismos dos números es 33.
x - y = 33 ....... Ecuación 2
Escribe un sistema de ecuaciones para representar esta situación.
x + y = 81 ...... Ecuación 1
x - y = 33 ....... Ecuación 2
Resolvemos estas ecuaciones usando el método de eliminación
Restamos la ecuación 2 de la ecuación 1 para eliminar
2y = 48
y = 48/2
y = 24
Resolver para x usando la Ecuación 1
x + y = 81 ...... Ecuación 1
x + 24 = 81
x = 81 - 24
x = 57
Por lo tanto, los dos números son: 57 y 24
The temperature was -5°F and then fell 8°F. Enter the addition expression that represents the final temperature.
10.
A camera costs $210. If the sales tax rate is 8%, how much tax is charged? Round your answer to the nearest cent.
A
$18.90
B. $14.70
C. $16.80
D
$168.00
Answer: C. $16.80
Step-by-step explanation:
Answer:
C.) $16.80
Step-by-step explanation:
Find what 8% as a decimal is: move the decimal to the right 2 times.=.08
Multiply: .08 times 210
.08 times 210 = 16.8
16.8= 16.80
$16.80
Hope I helped!! :)
Brainliest?!?!
Stay safe and have a good night/day/afternoon!!!
(3×10^2 )×(2×10^−4 )=
Answer:
Step-by-step explanation:
First, lets simplify everything in the parenthesis.
(3×10^2 )×(2×10^−4 )=
In the parenthesis, since exponents come before multiplication in the order of operations, we need to do the exponents first.
(3 • 100) • (2 • 1/10^4)
Now, we can just multiply everything from left to right to get:
6*10^-2
Or
.06
please help, would be grateful :)
Answer:
[tex]\frac{4}{3x-4}[/tex]
Step-by-step explanation:
The first thing we do to solve this is factor is completley
You can factor out a 4 from the numerator and get
4(3x+4)
The denominator is a difference of squares which means that
(x^2-y^2)=(x-y)(x+y)
which means that 9x^2-16=
(3x-4)(3x+4)
Put these together and get
[tex]\frac{4(3x+4)}{(3x-4)*(3x+4)}[/tex]
The 3x+4 cancels out and we get left with
[tex]\frac{4}{3x-4}[/tex]
Is this right? 2(10×2) + 2(10×3)=2(20)+2(6)+2(30)=40+=112 Square inches.
Answer:
Yes this is correct
Step-by-step explanation:
If x3 = 216, what is the value of x?
a. 6
b. 4
c. 9
d. 3
the answer is six
I'm sure
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
VA
Step-by-step explanation:
Angle VYA = 180-94-46 = 40 degrees.
Know that the side length opposite the smallest angle has the smallest length.
VY and VA are the two smallest, but 40 < 46, therefore VA is the shortest length.
Short (and not very rigorous) proof:
The law of sines says that sinA/a = sinB/b = sinC/c, where x is the side opposite the angle X
sin46/YV = sin40/VA
sin46 > sin40, therefore YV > VA.
Mia charges $2.25 per hour when she babysits plus $5.00 for transportation expenses. Write a function rule to represent the amount y Mia charges to babysit for x hours.
A y = 5.00x + 2.25
B y = 7.25x
C y = 2.25x + 5.00
D x = 5.00y + 2.25
Answer:
c
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Sam and Bethan share £54 in the ratio 5:4
Work out how much each person gets.
Answer:
Sam: $30; Bethan: $24
Step-by-step explanation:
Since the ratio is 5:4 Sam has to pay 5/9 of the total which is 54. To find how much he pays set up the equation like this.
[tex]\frac{x}{54} =\frac{5}{9}[/tex]
Cross Multiply
54(5)=9x
270=9x
Divide by 9
30=x
So Sam pays $30. To find out how much Bethan pays simply subtract 30 from 54
54-30=24
So Bethan pays $24
HELP PLEASEE UHM 0=r+4 IM IN 7TH GRADE
Answer:
r = -4
Step-by-step explanation:
Subtract 4 from both sides, so r = -4
I need help with Geometry
9514 1404 393
Answer:
(5, 1)
Step-by-step explanation:
Reflection across the x-axis negates the y-coordinate:
(x, y) ⇒ (x, -y) . . . . reflection across the x-axis
Rotation 90° CCW is the transformation ...
(x, y) ⇒ (-y, x) . . . . rotation 90° CCW
The two transformations together give ...
(x, y) ⇒ (y, x) . . . . reflection across the x-axis, then rotation 90° CCW
For point B, this gives ...
B(1, 5) ⇒ B'(5, 1)
Pls help and show workings
Need help ASAP!! I'll give brainliest to the correct answer!!!
A.) 18 inches
B.) 9 inches
C.) 6 inches
D.) 12 inches
What is the image of (x,y) after a translation of 3 units left and 5 units up?
the answer is number 3
Find three solution's to the linear equation 4x+y=20 using a table
Answer:
(-2, 28)
(-1, 24)
(0, 20)
Step-by-step explanation:
You can plug any numbers in for x, and solve for y.
Example: 4(-2) + y =20 multiply 4 and -2
-8 + y = 20 add 8 to both sides
y = 28
You can then do this for the rest of the numbers. Here is a table below:
This lesson is about Tangents, and they make no sense. Please help me.
The radius of circle P is 4, and OP is also a radius of circle P, so OP = 4.
Please help due by 2
Answer:
f=-4
Step-by-step explanation:
f (-5) = -5 -4
f (-5) + 5 = -5 +5 -4
f = -4
Len has a rectangular wooden deck that measures 14 feet by 25 feet that he wants to put a sting of light around. what length of lights should he buy?
Answer:
78 feet
Step-by-step explanation:
assuming it's the perimeter
25 + 25 + 14 + 14 = 78
The length of the string of the lights is 78 feet.
What is the perimeter of the rectangle?P = 2(l + w), where 'l' is the length of the rectangle and w is the width of the rectangle
For given example,
Len has a rectangular wooden deck that measures 14 feet by 25 feet that he wants to put a string of light around.
The length of the string of the lights = the perimeter of the rectangular wooden deck
Here, length of the deck (l) = 25 ft.
width of the deck (w) = 14 ft.
Using the formula of the perimeter of the rectangle,
⇒ P = 2 × (l + w)
⇒ P = 2 × (25 + 14)
⇒ P = 2 × 39
⇒ P = 78 ft.
The perimeter of the rectangular wooden deck is 78 feet.
Therefore, the length of the string of the lights is 78 feet.
Learn more about the perimeter of the rectangle here:
https://brainly.com/question/15287805
#SPJ2
I have 1 die. What is the probability of rolling a 2 or a 4?
Nina spent $75.00 on music in September. She spent $96.00 on music in
October. By which percent did Nina's spending on music increase from
September to October?
A 78%
B 28%
22%
D 12%
PLEASE HELP GIVING BRAINLEST
Answer:
11.25cm
Step-by-step explanation:
1.5x3=4.5
4.5x2=9
1.5x1.5=2.25
9+2.25=11.25
Alicia borrowed $3,000 from the bank at a rate of 12% simple interest per year. How much interest did she pay in 2 years
Answer:
I think it is $720
Let me know if this is right.
Write an equation of the line with a slope of — 7 and y-intercept of 1.
Answer:
y= -7x + 1
Step-by-step explanation:
this is the answer
What is the coefficient of the term 6/7 xy? A- 6xy. B-1/7. C-6. D--6/7
solve the quadratic equation
x2-10x+49=4x+1
Answer:
x=8 & x=6
Step-by-step explanation:
Answer:
X= X2+48/14
Step-by-step explanation:
If f(x)=-3x-2, find each value.
1. f(3)
Answer:
f(3)=-11
in other words
When x=3, y=-11
Step-by-step explanation:
f(x)=-3x-2
f(3)=-3(3)-2
f(3)=-9-2
f(3)=-11