Answer:
[tex]\sf f^{-1}(x) = \dfrac{x}{2}+4[/tex]
Step-by-step explanation:
A function is given to us and we need to find the inverse of the function in slope intercept form . The given function is ,
[tex]\sf\implies f(x) = 2x - 8 [/tex]
Let us assume that y = f(x) , so that ,
[tex]\sf\implies y = 2x - 8 [/tex]
Now interchange the positions of x and y , we have ,
[tex]\sf \implies x = 2y - 8[/tex]
Solve for y in terms of x ,
[tex]\sf \implies 2y = x + 8 \\\\\sf\implies y =\dfrac{x}{2}+4 [/tex]
This is the inverse of the function in slope intercept form. Now we can replace this y with f-¹(x) , as ,
[tex]\sf \implies \boxed{\pink{\frak{f^{-1}(x) = \dfrac{x}{2}+4}}}[/tex]
helpppppooppppppppikkkk
Step-by-step explanation:
Used desmos, it is a graphing app that is easy to used
the function is( -7,1)(-5,3)(-7,-1)(5,13)
Answer:
Not a function
Step-by-step explanation:
The an x-value (the first number in your ordered pair)ca not appear in another ordered pair. It it does, you do not have a function.
( -7,1)(-5,3)(-7,-1)(5,13) -7 appears as the first number in two of your ordered pairs. Not a function!
Use the Completing the Square method to solve for x.
y= (x + 3)2 – 4.
OX= 1 & 5
Ox= -1 & 5
O x = 1 & -5
OX= -1 & -5
Answer:
x = -1
x = -5
Step-by-step explanation:
y= (x+3)^2 - 4
(x + 3)^2 = x^2+6x+9
y = x^2 + 6x + 9 - 4
y = x^2 + 6x + 5
x^2 + 6x = -5
x^2 + 6x + 9 = -5+9 (6/2=3, 3^2 = 9) (add 9 to both sides)
(x + 3)^2 = 4
x + 3 = sqrt 4
x + 3 = +- 2
x + 3= 2. x = 2-3. x = -1
x + 3 = -2. x = -3-2. x = -5
can someone help on number 7 and 8
show work please aswell this is due tmr!
Answer:
In the picture
Step-by-step explanation:
For #8, make sure you combine the like terms on the parantheses due to PEMDAS, then distribute and solve for the variable.
I need help please!!!
Answer:
Step-by-step explanation:
1. p║ q
50+130 = 180
If the same side interior angles are supplementary angles then the lines are parallel.
2. p║ q
70 = 70
If the corresponding angles are congruent the lines are parallels.
4. p║ q
x = x
If alternating exterior angles are congruent then the lines are parallel.
5. we do not know if p is parallel with q
We have given that 2 vertical angles are congruent yet that is not enough to tell us about the relation between the 2 lines.
7. For the lines p and q to be parallel we need the corresponding angles 3x and 45 to be congruent so therefore equal in measure.
3x= 45 , divide both sides by 3
x= 15
For x = 15 the p║ q
8. For the lines p and q to be parallel we need the corresponding angles 120 and (2x+10) to be congruent so therefore equal in measure.
2x+10 = 120, subtract 10 from both sides
2x = 110, divide both sides by 2
x = 55
For x = 55 the p║ q
on a coordinate grid what is the distance of (-2,4) and (5,4)
Answer:
the distance is 7 units
Step-by-step explanation:
Since the we calculate the distance between (-2,4) and (5,4) and those points have the same y=4 coordinate then they are both part of a horizontal line.
The distance is found by looking at the x-axis.
From -2 to 5 so is form -2 until 0 is (2 )+ (5 )more = 7
Evaluate the algebraic expression x + 2y when w = 12, x = 10, y = 5 and z = 9.
A:12
B:17
C:20
D:27
Answer:
20
Step-by-step explanation:
Plugin x = 10 and y = 5 in the expression.
x + 2y = 10 + 2*5
= 10 + 10
= 20
Sixty tickets at $70 each cost
Answer:
60x$70=$4100
Step-by-step explanation:
ekdjnsjs
Answer:
60 x 70= 4200$
Step-by-step explanation:
60
70 x
_____
(jk no need to do this just multiply them this way,because there are zeros just multiply 6 and 7 which equals 42 then add the zeros which are equal to= 4200$
The n sequence question
Answer:
a) in order
-3;-2;-1
b) 6
1-4=-3
2-4=-2
3-4=-1
4-4=0
5-4=1
6-4=2
7-4=3
8-4=4
9-4=5
10-4=6
someone please help me
Answer:
the slope is -2
Step-by-step explanation:
Answer:
1/1 = 1
Step-by-step explanation:
Use rise/run.
The x value increases by 1 in the same amount of time that the y value increases by 1. This gives you the slope 1/1 (y increase/x increase).
1/1 can then be converted to 1.
Simplify the radical please I need sleep it's 1 am I wake up at 4
Answer:
[tex]4cba*\sqrt{5bc}[/tex]
Step-by-step explanation:
[tex]\sqrt{4^{2} *5a^{2}b^{2}bc^{2} c }[/tex]
[tex]4cba*\sqrt{5bc}[/tex]
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x-3)+2
A) infinite solutions
B) One
C) no solutions
Answer:
-7 = -7
a. infinite solution
Which equation is equivalent to 0.3y +0.4(25 - y) = 6.8 ?
Answer
y = 32
Step-by-step explanation:
Let's solve your equation step-by-step.
0.3y+0.4(25−y)=6.8
Step 1: Simplify both sides of the equation.
0.3y+0.4(25−y)=6.8
0.3y+(0.4)(25)+(0.4)(−[tex]\frac{-0.1y}{-0.1} =\frac{-3.2}{-0.1}[/tex]y)=6.8(Distribute)
0.3y+10+−0.4y=6.8
(0.3y+−0.4y)+(10)=6.8(Combine Like Terms)
−0.1y+10=6.8
−0.1y+10=6.8
Step 2: Subtract 10 from both sides.
−0.1y+10−10=6.8−10
−0.1y=−3.2
Step 3: Divide both sides by -0.1.
-0.1y/-0.1=-3.2/-0.1
y=32
I hope this helps?
AYUDA porfavor
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Answer:
english please?
Step-by-step explanation:
Answer:
english pls
Step-by-step explanation:
if sin x equal to a/b
what is sin(90-x)
Answer:
[tex] \sin(x) = \frac{a}{b} \\ \sin(90 - x) = \sin(90) \cos(x) - \cos(90) \sin(x) \\ \sin(90 - x) = \cos(x) \\ { \sin(x) }^{2} + { \cos(x) }^{2} = 1 \\ { \cos(x) }^{2} = 1 - {( \frac{a}{b})}^{2} = \frac{ {b}^{2} - {a}^{2} }{ {b}^{2} } \\ \cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ \sqrt{ {b}^{2} } } \\ \boxed{ \sin(90 - x) =\cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ b} } \\ [/tex]
The value equal to the given trigonometric expression sin(90°-x) is √(b²-a²)/b.
Given that, sinx=a/b.
We know that, sinθ=Opposite/Hypotenuse
Here, Opposite = a and Hypotenuse = b
Let the adjacent side be x.
Here, x=√(b²-a²)
Given that, sin(90°-x) = cosx
Now, cosx=x/b
cosx=√(b²-a²)/b
Therefore, the value equal to the given trigonometric expression sin(90°-x) is √(b²-a²)/b.
Learn more about the trigonometric ratios here:
brainly.com/question/25122825.
#SPJ6
On a drawing of a model airplane, the scale used is 1 in.:3 ft. How many feet would 4.5 inches represent?
A. 13.5 feet
B. 6.5 feet
C. 1.5 feet
D. 4.5 feet
Answer:
13.5
Step-by-step explanation:
4.5*3=13.5
HELPOOPPPOOPFOLFMTMR ME
Answer:
1.) 2y 2.) 14y
Step-by-step explanation:
Which inequality has a solution that is the set of all real numbers?
12 < 14
x < 12
12 > 14
x > 14
Answer:
12<14
x<12
14>12
14>x
Step-by-step explanation:
I dont know if it is correct but I think it is that way try
HELPOOPPP AND IF YOU DONT GET IT RIGHT I REPORT
Answer:
(-4,2)
Step-by-step explanation:
Answer:
(-4,2)
Step-by-step explanation:
hope this helps
6. Cafe A offers 2 free bottled waters or juices for every 20 purchased. What is the ratio of free drinks to purchased drinks? *
Answer:
1: 10
Step-by-step explanation:
2/2 =2
20/2 = 10
a = 1/3 (b+c)
make b the subject
Answer:
b= 3a-c
Step-by-step explanation:
Solve for b.
a= 1/3(b+c)
multiplying both sides by 3.
3a= b+c
subtract c from both sides.
3a-c=b
or
b= 3a-c
Answer:
b= 3a-c
Step-by-step explanation:
Solve for b.
a= 1/3(b+c)
Multiplying both sides by 3.
3a= b+c
Subtract c from both sides.
3a-c=b
or
b= 3a-c
okay now i rlly need this done man
Answer:
x=9.5
EDIT: Its actually x=6Step-by-step explanation:
Brainliest?PLEASE?Answer:
4
8
+
2
{\color{#c92786}{\frac{4x}{8}}}+2
84x+2
2
+
2
Step-by-step explanation: please mark brainliest
.
13
14
15
16
17
18
19
20
>
Complete the following:
1. Write an exponential expression: choose an odd number between 0 and 10 to be the base and an even number
between 0 and 10 to be the exponent.
2. Label the base and the exponent.
3. Then write the exponential expression in expanded form and standard form
Answer:
I have work busy byeeeeeeeee
HELPP PLEASE will put brainliest
Answer:
Slope of function A is equal to slope of function B
Step-by-step explanation:
Function A
[tex]y =\dfrac{2}{5}x+1\\\\\\slope=\dfrac{2}{5}[/tex]
Function B:
[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{3-[-1]}{5-[-5]}\\\\=\dfrac{3+1}{5+5}\\\\\\=\dfrac{4}{10}\\\\\\=\dfrac{2}{5}[/tex]
Can someone maybe help me on number 6 and 7?
Complete the conjecture based on the pattern you observe in the examples below:
Conjecture: The sum of any two odd numbers is ___
1 + 1 = 2 9 + 11 = 20
1 + 5 = 6 13 + 21 = 34
7 + 9 = 16 101 + 103 = 204
Conjecture: The product of any two numbers is ___
1 . 1 = 1 9 . 11 = 99
1 . 3 = 3 13 . 11 = 143
3 . 7 = 21 101 . 103 = 10,403
Conjecture: The product of a number (x-1) and the number (x+1) is always equal to ___
3 . 5 = 4² - 1 7 . 9 = 8² - 1
4 . 6 = 5² - 1 6 . 8 = 7² - 1
5 . 7 = 6² - 1 8 . 10 = 9² - 1
Step-by-step explanation:
the writing and spacing of the problem description is difficult to understand.
but there is no mystery. look at the examples.
all of them
3×5 = 15 = 16 - 1 = 4² - 1
4×6 = 24 = 25 - 1 = 5² - 1
5×7 = 35 = 36 - 1 = 6² - 1
6×8 = 48 = 49 - 1 = 7² - 1
7×9 = 63 = 64 - 1 = 8² - 1
8×10 = 80 = 81 - 1 = 9² - 1
so, what does this look like ?
(x-1)×(x+1) is always equal to (x² - 1)
8/3×(−2 1/2) find the product
Step-by-step explanation:
8/3 × -5/2 = -20/3
that is the answer
Add 2 1/2 + (-3 1/3). Write your answer as a mixed number in simplest form.
Answer:
Exact Form: -⅚
Decimal Form: -0.83 repeating
solve−4 1/3÷−2 3/5
a 1 2/3
b 1 4/5
c 2 1/5
d 2 3/5
How would you solve the equation -13=-5║n║
Answer:
-13/5
Step-by-step explanation: