the point (-1,0.5) lies on the graph of f^-1(x)=2^x based on this information, which point lies on the graph of f(x)=log2x
Answer:
(-1,0.5)...
the inverse "f^-1" of an exponential function is BY DEFINITION the "Log" function
Step-by-step explanation:
9 is multiplied by the cube of a number
Answer:
[tex] 9\times {y}^{3} [/tex]
this should be
[tex]9 {y}^{3} [/tex]
The expression for 9 is multiplied by the cube of a number will be 9X³.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that 9 is multiplied by the cube of a number. The expression can be written by assuming that the number is x.
Expression = 9 x Cube of a number
Expression = 9 x ( X )³
Expression = 9X³
Therefore, the expression for 9 multiplied by the cube of a number will be 9X³.
The complete question is given below:-
9 is multiplied by the cube of a number then write an expression for that.
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Jerimiah records lap times at the track meet on Saturday. He records a time of 85 seconds for Jennifer's lap, but she really completed the lap in 84.25 seconds.
What is the approximate percentage of error in Jerimiah's measure?
Answer:
I'm not sure. What I would do, though, is find the difference of the two times and then find the percentage of that within the original time. So the difference is .75. So the percentage would be .25%. Just an educated guess.
Select all the expressions that are equivalent to 3^2 · 3 ^(-6)
Answer:
[tex] {3}^{2} \times {3}^{ - 6} \\ = {3}^{2 + ( - 6)} \\ = {3}^{2 - 6} \\ = {3}^{ - 4} [/tex]
Where is the error in the solution below? Explain what the error is and solve the equation correctly. Be sure to check your answer.
Answer:
The error in the question is that in the second line, both sides are not multiplied by x. This causes an imbalance in the equation.
Step-by-step explanation:
[tex]\frac{5}{x}= x-4[/tex]
Multiply both sides by x.
[tex]x(\frac{5}{x}) = x(x-4)[/tex]
[tex]5= x^{2} -4x[/tex]
Subtract 5 from the equations.
[tex]x^{2} -4x-5=0[/tex]
Factorise the equation (Quadratics)
[tex](x-5)(x+1)=0[/tex]
Null Factor Law
[tex]x=5[/tex] or [tex]x=-1[/tex]
Here, we have to go through the equation and correct it:
Starting equation: 5/x = x - 4
Multiply both sides by x:
x * (5/x) = x * (x - 4)
[tex]5 = x^2 - 4x[/tex]
Move all terms to one side to set up a quadratic equation:
[tex]x^2 - 4x - 5 = 0[/tex]
Now, we have a quadratic equation that needs to be solved.
We can solve this quadratic equation using factoring, completing the square, or the quadratic formula.
In this case, let's use factoring:
(x - 5)(x + 1) = 0
This gives you two possible solutions:
x - 5 = 0 --> x = 5
x + 1 = 0 --> x = -1
So, the correct solutions for the equation 5/x = x - 4 are x = 5 and x = -1. The error in your solution was in the step where you multiplied by x; you didn't distribute x properly to both terms on the right side of the equation.
This causes an imbalance in the equation.
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I need help please!!
Answer:
16 cm2
Step-by-step explanation:
By equa tion of area of triangle: S = 1/2 * height * base
Triangle B: 32 = 1/2 * 8 * x --> x = 8 (cm)
The base of triangle A is half of the base of triangle B so it is 4 cm.
The area of triangle A = 1/2 * 8 * 4 = 16 (cm2)
A cookie company expanded its standard package of 36 cookies to include 4 extra cookies of a brand new flavor. If all of the cookies from an expanded package were put in a container and one were selected at random, what is the probability that it will be a cookie of the new flavor?
Answer:
1/9 probability
Step-by-step explanation:
The total cookies are 36 and the new flavors are 4, if you simplify 4/36, it equals 1/9
C=(3x-5)^2-36x^2
tìm x
Answer:
C = -27x^2 - 30x + 25
Step-by-step explanation:
C = (3x - 5)^2 - 36x^2
~Use FOIL
C = 9x^2 -30x + 25 - 26x^2
~Simplify
C = -27x^2 - 30x + 25
Best of Luck!
can any one solve this problem
Answer:
sorry i can't
please mark me as brainlest
If (x,2) is a solution to the equation -2x+4y=-8, what is the value of x
Answer:
x=8
Step-by-step explanation:
-2x+4y=-8
Let y = 2
-2x+4*2=-8
-2x+8=-8
Subtract 8 from each side
-2x+8-8=-8-8
-2x=-16
Divide by -2
-2x/-2 = -16/-2
x = 8
A number is considered "blue" if the sum of its digits is equal to the product of its digits. Which of the following
is "blue"?
Answer:
gcfcfud g fhhfhchgdjchfhfhgfhhufxyvhcj v hxhcnchchdfhvhdnfjc
Answer:
212205
Step-by-step explanation:
Well each letter is a number of a alaphabet
X : X E Z,-5< X < 2 in tabular form would be?
Step-by-step explanation:
X={-4,-3,-2,-1,0,1}
Write integers which are greater than -5 but less than 2.
Note:if you need to ask any question please let me know.
Order 0.5, -1/7, -0.2, and 1/3 from least to greatest.
Hey there! I'm happy to help!
Let's convert the decimals to fraction form.
0.5=5/10=1/2
-1/7
-0.2= -2/10= -1/5
1/3
We know that the bigger the number in the denominator, the smaller the fraction is if the numerators are all the same.
First off, we have the negative numbers which are smaller than the other numbers. We have -1/7 and -1/5. We know that the 1/5 is a bigger fraction, but it is negatively bigger, so that is going to be the lesser number.
-1/5, -1/7
And with our bigger ones, we have 1/3 and 1/2. 1/2 is the bigger number here, so that will be the last one. Let's also be sure to convert back to our original forms! Here is our order :
-0.2, -1/7, 1/3, 0.5
Have a wonderful day and keep on learning! :D
Karabo is training by running for the Comrades Marathon ; he starts his training by running 40km per week . Each week he increases the distance covered by 10km.
(a) Write down the formula to calculate the distance he runs in the n-th week .
(b) Use the formula to calculate the distance he runs in the 12 week of training.
Answer:
a) 40 + 10d where is the distance
b) 160 km
Step-by-step explanation:
→ Substitute 12 into the formula
40 + ( 10 × 12 ) = 160
(PLEASE HELP) Substitution and Evaluation, Complete the students work by dragging the numbers to the empty spaces
Answer:
boxes count from top to bottom
What is the area of this trapezoid? Please find the correct answer and equation.
Answer:
Step-by-step explanation:
1/6d+2/3=1/4=(d−2) what does d=
Answer:
1
6
d
+
2
3
=
1
4
⋅
(
d
−
2
)
Combine
1
6
and
d
.
d
6
+
2
3
=
1
4
⋅
(
d
−
2
)
Simplify
1
4
⋅
(
d
−
2
)
.
Tap for more steps...
d
6
+
2
3
=
d
4
−
1
2
Move all terms containing
d
to the left side of the equation.
Tap for more steps...
−
d
12
+
2
3
=
−
1
2
Move all terms not containing
d
to the right side of the equation.
Tap for more steps...
−
d
12
=
−
7
6
Multiply both sides of the equation by
−
12
.
−
12
⋅
(
−
d
12
)
=
−
12
⋅
(
−
7
6
)
Simplify both sides of the equation.
Tap for more steps...
d
=
14
12. Observe the pattern made by the figures. Can
you write a conjecture about the number of
triangles formed by connecting one vertex of
a polygon with n sides to each of the other
vertices? SEE EXAMPLE 2
A
Number
of Sides:
3
4
5
6
Conjectures are used to form opinions about a certain subject. The conjecture from the given figure is that:
The number of triangles that can be formed by an n-sided shape is n - 2.
Given that:
[tex]n \to[/tex] number of sides
From the attached figures, we have the following observation.
3 sides - 1 triangle4 sides - 2 triangles5 sides - 3 triangles6 sides - 4 trianglesIf this pattern continues, the number of triangles for an n-sided shape will be: n - 2
Hence, the conjecture is:
The number of triangles that can be formed by an n-sided shape is n - 2.
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Solve the compound inequality.
3 > 2x or x - 4 > 2
x <
or x >
Answer:
so our x is <
less than
explanation: 3>2x= 1.5<x
x- 4>2 =6<x
Given g(x) = -1 – 4, solve for a when g(x) = -4.
Answer:
a = 0
Step-by-step explanation:
given:
[tex]g(x) = -1x - 4[/tex]
solve for a, when:
[tex]g(x) = -4[/tex]
replace x with -4
~~~~~~~~~~~~
➡️ [tex] a = -1(-4) - 4 [/tex]
➡️ [tex] a = 4 - 4[/tex]
➡️ [tex] a = 0 [/tex]
if f(x) =7x+5/3-x, then show that fof power -1(x) is an identity function
If f(X)= 7x +5/3 - x =6x +5/3
y= 6x +5/3
6x= y-5/3
f^-1(y)=x=(y-5/3)/6
So we can write
f(f^-1(y))= f((y-5/3)/6) = 6 (y-5/3)/6 +5/3= y-5/3+5/3= y
The same result can be obtained for f^-1(f(x))=x
If the function is f(x)= 7x +5/(3-x) then it is not invertible since it is not injective (pictures)
How can the graph of f(x) = 1/(- x) - 9 be obtained from the graph of y = 1/x
Answer:
hsjjsjsjjsjjdjjsnnsjsj
Someone help pleasee
Answer:
a: 7000
Step-by-step explanation:
5 year = 10, 6 months
700 x 10 = 7000
factorisation
[tex] {x}^{3} - x[/tex]
Step-by-step explanation:
x³-x
by taking out common term, we get
x(x²-1)
Now, by using the formula of a²-b², we get
x(x²-1²)
x(x+1)(x-1)
I hope it helped U
stay safe stay happy
Answer:
[tex] {x}^{3} - x = x(x + 1)(x - 1)[/tex]
I hope I helped you^_^
Multiply the numbers. Round the answers to the nearest cent.
21. $4.50 X 30.25
22. $8.30 X 3.25
23. $14.50 X 32.5
Answer:
[tex]21. \: 136.1[/tex]
[tex]22. \: 27.0[/tex]
[tex]23. \: 471.3[/tex]
Remember to add "$" before the number.
guys PLEASE help my brain is trying to fall asleep on me rn and its due
Step-by-step explanation:
perimeter=a+b+c
p=10.5+15+(-5(x+11))
p=25.5-5x-55
p,=-5x-29.5
A $40.00 shirt is on sale for 35% off. How much will I save?
Answer:
You will save $14.00
Step-by-step explanation:
If the shirt is 35% off, it means that you will effectively save 35% of the price. 35% of the price in this case is 35% of 40, which is $14.00
Simplify: 2(a-4)+15=13
Answer:
a = 3
Step-by-step explanation:
2(a−4)+15=132
a−8+15=132
a=13−15+82
a=6
a=6/2
a=3
Pls help me I would appreciate it :]
Step-by-step explanation:
3(5)+5÷4
15+5÷4
20÷4
5 Answer
Answer:
16.25
Step-by-step explanation:
Let x = 5. Substitute the value for the variable.
3(5) + 5 ÷ 4
15 + 5 ÷ 4
15 + 1.25
16.25
h(x)=x^2-x-1; h(2a+7)
Answer:
2
Step-by-step explanation:
By how much does x power 2 - ax +5 exceeed 3x power 2 -5x=6 I hope this helps :)