Answer:
f⁻¹(x) = x - 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
FunctionsFunction NotationInverse FunctionsStep-by-step explanation:
Step 1: Define
Identify
f(x) = x + 3
Step 2: Find
Swap: x = y + 3[Subtraction Property of Equality] Isolate y: x - 3 = yRewrite: f⁻¹(x) = x - 37. CHALLENGE: Use the digits 0 to 9 to make the equation true. You don't need to use all thedigits you can only use each digit once.
20 = ___+(___-___)×___
9514 1404 393
Answer:
20 = 2 + (7 -4) × 6
Step-by-step explanation:
The Order of Operations requires the parentheses be evaluated first, then the multiplication performed. Finally, the addition is performed.
If each of the blanks is filled with a single digit, the result of the multiplication must be a composite number greater than 10. Those are 12, 14, 15, 16, 18, 20. For the expression shown above, we have chosen to make the product be 18. That means the first blank is filled with 2 and the remaining blanks must evaluate to one of the products 2×9 or 3×6.
We have chosen 6 for the last blank, so the two blanks in parentheses must have a difference of 3. The digits 2 and 6 cannot be used, leaving possible choices as (3-0), (4-1), (7-4), (8-5).
Our final expression is chosen to be ...
20 = 2 +(7 -4)×6
Which graph best represents the equation f(x) = 2(5)^x
Answer:
H
Step-by-step explanation: 6 4 17 30
if x = 0 f(0) = 2×5^0
= 2 × 5
= 10
H is the only graph that equals 10 at x=0
Answer:
See the image below for the answer:)
Step-by-step explanation:
Hope this was helpful.
What is an algebraic expression for the quotient of w and 7 ? A. W-7 B. W+7 C.W/7 D.7w
Answer:
the answer for this is C.
Step-by-step explanation:
quotient is the number gotten by dividing a number by another.this is why it is C.
What set or sets does negative squareroot of 20 belong to? is it a real number, rational, integer, whole number, irrational, or natural?
Answer:
Real number and Irrational number
Step-by-step explanation:
Given
[tex]-\sqrt{ 20[/tex]
Required
The set it belongs to
First, solve the expression
[tex]-\sqrt{ 20} = -4.472136[/tex]
The above number is not an integer and it is not whole or natural because it has decimal points
It is not a rational number because it cannot be expressed as a simple fraction
However, the number can be categorized as either irrational or real because of the level of the decimal point in the result
Distribute and combine HELP NOW!!
Answer:
9x + 8
Step-by-step explanation:
2(3x + 1) + 5x + 9 - 2x - 3
⇒ 6x + 2 + 5x + 9 - 2x - 3
⇒ 9x + 8
Algebra
2(3x+1)=6x+2
Then combine like terms.
6x+2+5x+9-2x-3
9x+8
The RAND() function in Excel returns a pseudo-random number between 0 and 1. If you enter this function into 1000 cells (i.e. enter the formula in one cell and copy it to 999 other cells), approximately how many of these cells will contain values less than or equal to 0.2?
a. A number relatively close to 1.
b. A number relatively close to 10.
c. A number relatively close to 100.
d. A number relatively close to 500.
e. A number relatively close to 1000.
Answer:
c. A number relatively close to 100.
Step-by-step explanation:
Given
[tex]Range: 0 \to 1[/tex]
[tex]N =1000[/tex] --- i.e. the cells
Required
Number of cells that contains less than or equal 0.2
Less than or equal 0.2 means that the numbers are approximately 20% of the whole distribution
So, to calculate the number (n) of these cells, we do the following computation
[tex]n = 20\% * N[/tex]
[tex]n = 20\% * 1000[/tex]
[tex]n = 200[/tex]
200 is closer to 100 than 500. Hence, (c) is correct
Please show work thank you
Answer: 70 mph
Step-by-step explanation:
Add.
2
1
3x² - 4x-4
3x² +8x+4
+.
Simplify your answer as much as possible.
NO LINKS please and thank you
Answer:
6x²+4x
Step-by-step explanation:
The given expressions are 3x²- 4x-4 and 3x²+8x+4.
We need to add these two expressions.
3x²- 4x-4 + 3x²+8x+4 = 3x² + 3x² -4x+8x-4+4
= 6x²+4x
On adding the given expressions, we get the value as 6x²+4x. Hence, the sum of the given expressions is equal to 6x²+4x
The ages of the members of a family are 46, 48, 21, 12, 15, and 8. what is the mean age?
Answer:mean means to average. in order to average, add all the numbers then divide by how many numbers you have.
All these ages add up to 150. because there are 7 ages, divide by 7. this is 21.4 which can be rounded to about 21
46 + 48 + 21 + 12 + 15 + 8 = 150
150 ÷ 7= 21.4285 = 21
Step-by-step explanation:
simplify 7x + 2 - 3x, if x = 8
Answer:
34
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
(7*8)+2-(3*8)
=34
....
I need help is using double-angle formulas to simplify trig expressions.
Answer:
the answer is c
Step-by-step explanation:
(1-cosb²)/sinx²
I'm kinda lost here, what do I do when the quadrant is given? CanI have some of these solved at least with steps?
Answer:
See Explaination
Step-by-step explanation:
According To Question
In Quadrant-1 (0* to 90*) ( All the Trignometry Functions are Positive )In Quadrant-2 (90* to 180*) (Only Sine & Cosecant are Positive)In Quadrant-3 (180* to 270*) (Only Tangent & Cotangent Are Positive)In Quadrant-4 (270* to 360*) ( Only Cosine & Secant Are Positive)(Diagram, Please Find In Attachment)
Question 38 . Cos ∅ = 12/13 ∅ in Quadrant-4(Where only Cos & Sec are Positive all other Functions Are Negative in this Quadrant)
Now ∅ Represent a Right Angle Triangle with Base=12 Perpendicular=5 & Hypothenese=13
other Five Trignometry Functions Are as FollowSin∅ = -5/13 , Cosec∅=-13/5 , Tan∅=-5/12 , Cot∅=-12/5 & Sec∅=13/12
Question 39 . SinX=-3/4 X Lies in Quadrant-3(Where only Tan & Cot are Positive all other Functions Are Negative in this Quadrant)
Now For Other Trignometry FunctionsFind By Using Basic Formulas
[tex]SinX^{2}+CosX^{2}=1[/tex] ↔ Put Value of Sin∅=-3/4
We get CosX= ±[tex]\frac{\sqrt{5} }{4}[/tex] (but X Lies in Quadrant-3 Where Cosine Is Negative , So Neglect CosX= +[tex]\frac{\sqrt{5} }{4}[/tex])
So CosX= -[tex]\frac{\sqrt{5} }{4}[/tex] ...... now you get the point . All Questions Will Solve like This .
A jar contains 6 red marbles numbered 1 to 6 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability the marble is red or odd numbered.
Answer:
[tex]P(R\ or\ odd\ Numbered)=5/7[/tex]
Step-by-step explanation:
From the question we are told that:
Number of Red Marble [tex]n_r=6[/tex]
Number of Blue Marble [tex]n_b=8[/tex]
Sample size [tex]n=n_r+n_b[/tex]
[tex]n=6+8[/tex]
[tex]n=14[/tex]
And
No of red or Odd numbered [tex]x= 6+4 = 10[/tex]
Generally the equation for probability the marble is red or odd numbered. is mathematically given by
[tex]P(R or odd Numbered)=x/n[/tex]
[tex]P(R or odd Numbered)=10/14[/tex]
[tex]P(R\ or\ odd\ Numbered)=5/7[/tex]
Find the x and y intercepts of the equation. Express your answers as points. 5 x + 7 y = − 140
Answer:
x-intercept(s): (-28, 0)
y-intercept(s): (0, -20)
Step-by-step explanation:
Try This Answer.
Please help image attached
A) is -4 a solution to this inequality
B) choose the correct inequality
Plsss help me I’m so confused! Brainlist!!!!! Plsss ASAP, or I’m going to fail my class!!!
Answer:
the median is 12
the mean is 11.16
I believe the answer is:
Median: 12 hours
Mean: 11.2 hours
Hope this helps! :D
Work out the size of angle x
Answer:
[tex]x=47^{\circ}[/tex]
Step-by-step explanation:
By definition, parallelograms have two pairs of parallel sides. Therefore, AD and BC are parallel, and the angles marked with [tex]x[/tex] and [tex]47^{\circ}[/tex] are alternate interior angles. Since alternate interior angles are equal, we have [tex]x=\boxed{47^{\circ}}[/tex]
Evaluate n^2 -m. If you n=-5 and m=3
Answer:
22
Step-by-step explanation:
n² - m =
-5² - 3 =
25 - 3 = 22
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
22
Step-by-step explanation:
(-5)^2- 3
two negatives make a positive which would be 25 then minus the 3
=25-3
then you get your total
=22
PLESE HURRY
If f(x) = (-x)3, what is f(-2)?
-8
-6
6
8
Answer:
8
Step-by-step explanation:
f(x) = (-x)^3
Let x = -2
f(-2) = (- -2)^3
= (2)^3
= 8
hey this is my first post, does anyone know how to do this and find V?
Answer:
16
Step-by-step explanation:
8/1/2
8 divided by 1/2
8 x 2/1 = 16
Answer:
Step-by-step explanation:
P=8/V
1/2=8/V
do cross multiplication
2*8=V*1
16=V
What is the mean of the following numbers?
x-3a,x-2a,x-a,x,x+a
Answer:
x-a
Step-by-step explanation:
Mean=sum of data /no of data
=x-3a+x-2a+x-a+x+x+a/5
=5x-5a/5
=5(x-a)/5
=x-a
I tried to complete this question on determining a trigonometry equation on a graph but I got the wrong answer. What did I do wrong?
Answer:
[tex]y=2\sin(x)-1[/tex]
Step-by-step explanation:
Let's break it down:
In the sinusoidal function [tex]y=a\sin b(x-c)+d[/tex]:
[tex]a[/tex] represents Amplitude [tex]b[/tex] represents a constant related to the Period[tex]c[/tex] represents Phase Shift [tex]d[/tex] represents Vertical ShiftTo find Amplitude, divide the entire height of the function (from top to bottom) by two, or find the vertical distance between the horizontal line of symmetry and the highest/lowest point of the wave. In this case, Amplitude is 2.
To find [tex]b[/tex], use [tex]T=\frac{2\pi}{b}[/tex], where [tex]T[/tex] is the period of the function. To find the period, count the horizontal distance of the length of one complete cycle. In this case, period is [tex]2\pi[/tex] and therefore
[tex]2\pi=\frac{2\pi}{b},\\b=\frac{2\pi}{2\pi}=1[/tex].
To find Phase Shift, find the horizontal shift from the parent function [tex]y=\sin x[/tex]. In this case, there is no phase shift.
To find Vertical Shift, find the vertical shift from the parent function [tex]y=\sin x[/tex]. In this case, vertical shift is -1.
Thus, we've found:
[tex]a=2[/tex] [tex]b=1[/tex] [tex]c=0[/tex] [tex]d=-1[/tex]Substituting these values into [tex]y=a\sin b(x-c)+d[/tex] , we get:
[tex]y=2\sin 1(x-0)-1=\boxed{y=2\sin(x)-1}[/tex]
Need help
7th grade
Vertical angles
Answer:
a) 90°
b) 90° - 35° = 55°
c) 65° - 40° = 25°
d) 90° - 65° = 25°
e) 180° - 65° = 115°
f) 180° - 35° = 145°
g) 180° - 40° = 140°
h) 65° + 35° = 100°
180° - 100° = 80°
i) 90° - 40° = 50°
j) 35° + 40° = 75°
180° - 75° = 105°
(the answer is written in bold)
3) Which inequality represents this scenario?
The weight of a book may be no more than 3.3 pounds.
A) w > 3.3
B) w< 3.4
C) w <3.3
D) w < 3.3
Answer:
w < 3.3
C) w < 3.3
D) w < 3.3
Answer: [tex]w \le 3.3[/tex]
=====================================================
Explanation:
w is the weight and it may be no more than 3.3 pounds. This is the same as saying that 3.3 pounds is the highest it can go. Think of it as the ceiling.
w = 3.3 is possible or anything smaller than it is possible.
So w is 3.3 or smaller meaning we write the inequality [tex]w \le 3.3[/tex]
The answer is not w < 3.3 because that would exclude 3.3 itself.
The answer is between choices C and D. It seems like one of those inequality signs should have an underline.
BRAINIST AND 10 POINTS
Step-by-step explanation:
12 I believe
have a great dayy
happy summee
Hey does anyone know how to solve this need an answer quickly
Susan’s ribbon is 3.8 metres long.
What is the length of her ribbon in millimetres?
Answer:
the answer is 3800mm.because 1m is 1000mm
What two numbers add to 7 and multiply to -44
Answer:
The numbers are 11 and -4
Step-by-step explanation:
Given
Let the two numbers be [tex]x[/tex] and [tex]y[/tex]
such that:
[tex]x + y = 7[/tex]
[tex]x*y = -44[/tex]
Required
Find x and y
Make y the subject in: [tex]x + y = 7[/tex]
[tex]y = 7 - x[/tex]
Substitute [tex]y = 7 - x[/tex] in [tex]x*y = -44[/tex]
[tex]x(7-x) = -44[/tex]
Open bracket
[tex]-x^2 +7x = -44[/tex]
Rewrite as:
[tex]x^2 -7x -44=0[/tex]
Expand
[tex]x^2 +4x-11x -44=0[/tex]
Factorize
[tex]x(x +4)-11(x +4)=0[/tex]
Factor out x + 4
[tex](x -11)(x +4)=0[/tex]
Solve for x
[tex]x =11; x =-4[/tex]
Recall that:
[tex]y = 7 - x[/tex]
So:
[tex]y = 7-11 = -4[/tex]
or
[tex]y = 7--4 = 11[/tex]
I’ll give brainliest if you answer this right
Answer:
$16 per hour
Step-by-step explanation:
He earns $16 per hour as shown in the figure
A group of three people are selected at random, what is the probability that all the three people have different birthdays.
Answer:
1:1
Step-by-step explanation:
this is because they are selected at random 3/3=1