Answer:
[tex]\bold{\underline{x\in(-\infty\,,\,-4\big>\cup\big<6\,,\,\infty)}}[/tex]
Step-by-step explanation:
[tex]\bold{2|x-1|\geqslant10}\\\\{}\ \div2\qquad\div2\\\\\bold{|x-1|\geqslant5}\\\\\bold {x-1\geqslant5\qquad\quad\vee\qquad x-1\leqslant-5}\\\\\bold {x\geqslant6\qquad\qquad\vee\qquad\ \ x\leqslant-4}\\\\\bold{\underline{x\in(-\infty\,,\,-4\big>\cup\big<6\,,\,\infty)}}[/tex]
Write the inverse of f(x) = 3x - 1
f -1(x) =
log 3 x + 1
log 3 ( x - 1)
log 3 x - 1
Answer:
log 3 x +1 = f^-1(x)=[tex]\frac{10^x^-^1}{3}[/tex]
log 3 (x-1) = f^-1(x)=[tex]\frac{x}{log(3)} +1[/tex]
log 3 x - 1 = f^-1=[tex]\frac{10^x^+^1}{3}[/tex]
The inverse of the function f(x) = 3x - 1 is f⁻¹(x) = (x + 1)/3.
What is an inverse function?First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.
We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.
Given, f(x) = 3x - 1.
Or y = 3x - 1.
3x = y + 1.
x = (y + 1 )/3.
f⁻¹(x) = (x + 1)/3.
learn more about the inverse of functions here :
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Helpppppppppppppppp plz plz plz plz plz
Answer:
-19
Step-by-step explanation:
We know:
Samuel walks forward 19 steps. So number is+19
We need to find:
How would he represent the opposite of this number
Answer :
Number = 19
To represent the opposite of this number Samuel should first take 19 steps back to reach his original position that is zero and then needs to move 19 steps backward to get -19.
-2(k - 5) + 2k = 5k + 5
The endpoints of GH are G(3,3) and H(-7,7).
Find the coordinates of the midpoint M.
Step-by-step explanation:
Hey there!!
You can simply use midpoint formulae to find midpoint of the coordinates.
Here, Given that;
G(3,3) and H(-7,7).
Using midpoint formulae,
[tex]midpoint \: of \: gh = (\frac{x1 + x2}{2} ,\frac{y1 + y2}{2} [/tex])
[tex]midpoint \: of \: gh = (\frac{3 - 7}{2} ,\frac{3 + 7}{2} [/tex])
After simplifying it we get,
= (-2,5).
Therefore, midpoint of GH is M(-2,5).
Hope it helps....
Subtract. (3x+3)–(3x+3)
your answer will be 0.
6. State the absolute maximum using the correct notation. Start answer with abs max: Please do not put any spaces in answer.
Answer:3.5:80
Step-by-step explanation:
common sense
determine the quotient of 1 2/3 ÷ 4/5
Answer:
The desired quotient is 25/12.
Step-by-step explanation:
Rewrite 1 2/3 as an improper fraction: 5/3.
Then divide this 5/3 by 4/5:
5
------ ÷ 4/5
3
It's easier (but completely correct) to invert the divisor (4/5) and then multiply 5/3 by (5/4):
5 5 25
----- * ----- = ------
3 4 12
The teacher has 125 pencils they want to arrange in y amount of containers in the class. Write an expression to show how many pencils will be in each container.
Answer:
125/y
Step-by-step explanation:
Answer:
[tex]\frac{125}{y}[/tex]
Step-by-step explanation:
If you have 125 pencils and you have [tex]y[/tex] amount of containers, then you want to get an equal number of pencils in each container.
What operation do we know of that finds an equal distribution across a certain number of groups? Division! That can help us equally split a number into how many parts we need.
Division can be represented in two ways: with a division sign [tex]\div[/tex] or as a fraction [tex]\frac{x}{y}[/tex].
You'll find the that the division sign will be used a lot less during Algebra and you'll mainly stick to fractions.
If we are dividing 125 into [tex]y[/tex] groups, then our fraction is [tex]\frac{125}{y}[/tex].
Hope this helped!
A basketball court is shaped like a rectangle 20 meters long and 10 meter
wide? What is the area of the court?
Answer:
200 squared meters.
Step-by-step explanation:
Since we know the court is a rectangle, we can use the formula for the area of a rectangle:
[tex]A=lw[/tex]
Where l is the length and w is the width.
We are given that the length is 20 meters and the width is 10 meters. Substitute:
[tex]A=20(10)[/tex]
Multiply:
[tex]A=200\text{ meters}^2[/tex]
So, the area of the court is 200 squared meters.
pls help ASAP
Which number is missing from the prime factorization of 348?2 x ____ x 3 x 29
A. 2
B. 3
C. 5
D. 7
Answer: The answer is A. 2.
Answer: your answer is A
Solve the literal equation y = 12x - 5cx for x
Answer: x=y/(12-5c)
Step-by-step explanation:
To solve for x, we need to use algebraic properties.
We notice that each term on teh right side contains an x. We can factor out an x.
y=12x-5cx [factor out x]
y=x(12-5c) [divide both sides by 12-5c]
x=y/(12-5c)
Draw the line given the x-intercept: 3 y-intercept: -6
Answer:
draw the line from the -6 in the y axis to the 3 in the x axis
if 7x - 11 = 17, then x = 4
I really need help I don’t understand anything and my teacher isn’t a big help either
What is -3 to the power of 5?
Answer:
-243
Step-by-step explanation:
-(3)^5
-3 x -3 x -3 x - 3 x - 3
=>-243
200 ones into standard form
38 + − 21 = ???????????????????????????
Answer:
17
Step-by-step explanation:
Answer:
38 - 21 = 17.Step-by-step explanation:
because - + = - ....Hope it helps you..
Thanks
.
I WILL MAKE BRAINLEST!!!!!!
Order the numbers from least to greatest. 1=least and 4=greatest LaTeX: \sqrt{\frac{9}{4}}9 4 LaTeX: \sqrt{5}5 LaTeX: 2.52.5 LaTeX: \frac{5}{3}5 3
Answer:
[tex] \sqrt{\frac{9}{4}} [/tex] < [tex] \frac{5}{3} [/tex] < [tex] \sqrt{5} [/tex] < 2.5
Step-by-step explanation:
Given the following numbers, [tex] \sqrt{\frac{9}{4}}, \sqrt{5}, 2.5, and, \frac{5}{3} [/tex], let's express each as whole or decimal numbers, to find out the least to the greatest.
[tex] \sqrt{\frac{9}{4}} = \frac{\sqrt{9}}{\sqrt{4}} [/tex]
[tex] \frac{3}{2} = 1.5 [/tex]
[tex] \sqrt{5} [/tex] ≈ 2.2
2.5 (already in decimal form)
[tex] \frac{5}{3} [/tex] ≈ 1.7
From the least to the greatest, we have:
[tex] \sqrt{\frac{9}{4}} [/tex] < [tex] \frac{5}{3} [/tex] < [tex] \sqrt{5} [/tex] < 2.5
Can someone explain how to solve g(x)=x-6
Answer:
you cant solve that y=x-6 is not a solve able question it's just a function,do you mean how to graph it
1. Simplify the expresdion.
(1 Punto)
43 - ( 18 + 3)
Maybe use a calculator?
4+(x+5)+4+(x+5)+4=48
The following three functions look very similar, but define very different functions. Think about how they are defined and write each as a composition of functions given the information below. (None of the functions in your compositions should be the same as the given function.) 1. sin^4 (x) = f(g(x)) where f(x) = , and g(x) = . 2. sin(sin(x)) = f(g(x)) where f(x) = , and g(x) = . 3. sin x^4 = f(g(x)) where f (x) = , and g(x) = .
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following functions :
sin^4 (x) = f(g(x)) where f(x) = and g(x) =
Sin⁴(x) = sin(x)⁴
g(x) = sin(x),
f(x) = f(g(x)) = f(sin(x)⁴) = x⁴
2.) sin(sin(x)) = f(g(x)) where f(x) = , and g(x) =
g(x) = sin(x) ; sinx = x
g(x) = sin(x)
f(x) = f(g(x)) = sin(x) ; sin(x) = x
f(x) = f(g(x)) = f(sin(x))
f(x) = sin(x)
3. sin x^4 = f(g(x)) where f (x) = , and g(x) = .
Here,
g(x) = x⁴
f(x) = f(g(x)) = sin(g(x)) = sin x
f(x) = sinx
The functions are illustrations of composite functions, where multiple functions are combined in one.
(1) sin^4 (x) = f(g(x))
Rewrite the above function as:
[tex]f(g(x)) = \sin^4(x)[/tex]
So, we have:
[tex]f(g(x)) = (\sin(x))^4[/tex]
From the above equation, we have:
[tex]g(x) = \sin(x)[/tex]
So, we have:
[tex]f(g(x)) = (g(x))^4[/tex]
Substitute x for g(x)
[tex]f(x) = x^4[/tex]
Hence, the functions are: [tex]f(x) = x^4[/tex] and [tex]g(x) = \sin(x)[/tex]
2.) sin(sin(x)) = f(g(x))
Rewrite the above function as:
[tex]f(g(x)) = \sin(\sin(x))[/tex]
From the above equation, we have:
[tex]g(x) = \sin(x)[/tex]
So, we have:
[tex]f(g(x)) = \sin(g(x))[/tex]
Substitute x for g(x)
[tex]f(x) = \sin(x)[/tex]
Hence, the functions are: [tex]f(x) = \sin(x)[/tex] and [tex]g(x) = \sin(x)[/tex]
3. sin x^4 = f(g(x))
Rewrite the above function as:
[tex]f(g(x)) = \sin(x^4)[/tex]
From the above equation, we have:
[tex]g(x) = x^4[/tex]
So, we have:
[tex]f(g(x)) = \sin(g(x))[/tex]
Substitute x for g(x)
[tex]f(x) = \sin(x)[/tex]
Hence, the functions are: [tex]f(x) = \sin(x)[/tex] and [tex]g(x) = x^4[/tex]
Read more about composite functions at:
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Rita bakes pies at The Corner Bakery. The number of pies she can bake, x, is limited by the ingredients
they have in stock. This situation is represented by the compound inequality 2x - 3 < 7 and 5 - x < 8.
Solve the compound inequality and select all the viable solutions.
-2 pies
2 pies
1 pie
O pies
-1 pies
-3 pies
5 pies
6 pies
4 pies
3 pies
Answer:
The solution for the inequality is -3< x <5
The viable solutions are;
-2 pies, -1 pies, 0 pies, 1 pie, 2 pies, 3 pies, and 4 pies
Step-by-step explanation:
The given inequalities are;
2·x - 3 < 7 and 5 - x < 8
Therefore, we have;
2·x - 3 < 7
2·x < 7 + 3
2·x < 10
x < 5
From the other inequality, we have;
5 - x < 8
-x < 8 - 5 = 3
-x < 3
-x/(-1) > 3/(-1)
x > -3
Therefore, the solution for the inequality is given as follows;
-3< x <5
The possible values are;
-2 pies, -1 pies, 0 pies, 1 pie, 2 pies, 3 pies, and 4 pies.
Please help me solve this Question Explanation will be appreciated.
Answer:
for the first question, the answer is B
6 × 6 (faces of a dice) = 36, there are 6 way to add 1-6 to 7 (1+6, 2+5, 3+4), so the answer is 6/36 or simplified into 1/6
for the second question, the answer is B
3/4 = 15/20, 3/5 = 12/20 (least common multiple is 20)
15/20 - 12/20 = 3/20
1. If 4 = ( p – 2 ) then the solution of p = ------
2.In the expression x/4 = 2/3 what is the value of the x
Answer:
x = 8/3
Alternative form
x = 2 2/3, x = 2.6
Step-by-step explanation:
First, simplify the equation using cross-multiplication
3x = 8
then divide both sides of the equation by 3 and there's your answer
x = 8/3
A ream of a certain brand of paper weighs about 3.225 pounds. A ream contains 500 sheets of paper. How much does a sheet of paper weigh?
Answer:
about 0.00645 pounds
Step-by-step explanation:
3.225 / 500 = 0.00645
Answer:
A single paper should weigh about 0.00645
Step-by-step explanation:
All you really need to do is divide 3.225 by 500.
A designer found the area of a wall to be 5.0 square yards. What is the area of the wall in square meters?hhhshxhxhd
Step-by-step explanation:
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Which term has a coefficient of 1?
Answer:
Variables with no number have a coefficient of 1.
Step-by-step explanation: x is really 1x.
2. Given that (ab - c) + d = e
Solve for a
convert 2000m to centimeters
Answer:
200,000cm
Step-by-step explanation:
1m = 100cm
2000m = ?
2000 × 100 = 200,000cm
2,00,000cm
Step-by-step explanation:
1m= 100cm
2000m=?
2000m= 2000× 100 cm
= 2,00,000cm
FIRST ANSWER GETS BRANLIEST!!
Answer:
(0,0)
Step-by-step explanation:
Let's think about how the graph of this would look.
We know that y will be [tex]x^2[/tex], meaning that if x was 0, y would be 0.
If x was 1, y would be 1
If x was 2, y would be 4.
Now let's think about negative numbers.
If x was -1, y would be 1 (since [tex]-1^2 = 1[/tex]
If x was -2, y would be 4 (since [tex]-2^2 = 4[/tex]).
This means that our graph would turn at the point where x and y are equal (excluding 1,1)
This is 0,0.
So 0,0 is the turning point of this graph.
Hope this helped!