Given:
The function is:
[tex]f(x)=\dfrac{1}{9}x-2[/tex]
To find:
The value of [tex]f^{-1}(x)[/tex].
Solution:
We have,
[tex]f(x)=\dfrac{1}{9}x-2[/tex]
Step 1: Substitute [tex]f(x)=y[/tex].
[tex]y=\dfrac{1}{9}x-2[/tex]
Step 2: Interchange x and y.
[tex]x=\dfrac{1}{9}y-2[/tex]
Step 3: Isolate the variable [tex]y[/tex].
[tex]x+2=\dfrac{1}{9}y[/tex]
[tex]9(x+2)=y[/tex]
[tex]9x+18=y[/tex]
[tex]y=9x+18[/tex]
Step 4: Substitute [tex]y=f^{-1}(x)[/tex].
[tex]f^{-1}(x)=9x+18[/tex]
Therefore, the required function is [tex]f^{-1}(x)=9x+18[/tex].
What is the measure of <JHM
25
45
50
90
How do I solve and what's the answer?
Answer:
Step-by-step explanation:
A parallelogram is a family of quadrilateral which has its two opposite sides to be equal and parallel.
In the given parallelogram, the following proof can be deduced.
1. QS bisects RT: <RSQ ≅ <TQS Given
2. RV ≅ TV Definition of a bisector
3. <SRQ + < RQT = [tex]180^{o}[/tex] Definition of supplementary angles
4. <RQS ≅ <QST Definition of alternate angles
5. <RVT ≅ <QVT Vertically opposite angles
6. <QRS ≅ <STQ Opposite angles are congruent
7. QRST is a parallelogram Proofed
can someone please help me i need to calculate the are of a trapezium which is 6cm 15cm 9cm, please help
Answer:
Step-by-step explanation: The parallel sides of a trapezium are called the bases and the distance between them is the height. Therefore if 6cm and 15cm are the bases and 9cm is the height, then the area is A= ½(b1+b2)×h, where b1 is 6cm and b2 is 15cm and h is 9cm. Therefore the Area= ½(6+15)×9=94,5cm.
Answer:
shush its hard like my
Step-by-step explanation:
Can anyone solve this question for me urgent! With work please. Thank you!
Answer:
P = 75*
Step-by-step explanation:
Can someone help me with this?
Answer:
(b)
Step-by-step explanation:
What is the 30th term of the linear sequence below?
-4,-1,2,5,8...
Answer:
80
Step-by-step explanation:
-4,-1,2,5,8,11,14,17,20,23,26,29,32,35,38,41,44,47,50,53,56,59,62,65,68,71,74,77,80.
pls help its my last day of school and a have only a few mins to submit
Answer:
slope = 1/2
y intercept = 2
slope intercept form = y = 1/2x + 2
Step-by-step explanation:
Answer:
Slope: 2
y-intercept: 2
Slope intercept form: y=2x+2
Step-by-step explanation:
Hope this helps!
put 0.6 as a percent
Answer:
6%
Step-by-step explanation:
can someone assist me with this, has me mad
drop menu 1:
A. y-axis
B. x-axis
C. line y=x
D. line y=-x
drop menu 2:
A. 4 units to the right and 10 units up
B. 8 units to the right and 4 units up
C. 10 units to the right and 2 units up
D. 10 units to the right and 4 units up
Answer:
A. y-axis
B. x-axis
C. line y=x
D. line y=-x
drop menu 2:
A. 4 units to the right and 10 units up
B. 8 units to the right and 4 units up
C. 10 units to the right and 2 units up
D. 10 units to the right and 4 units up
Answer:
C, and D
Step-by-step explanation:
First you reflect over the line y=x (line goes diagonal from quadrant I to quadrant III)
The rule of reflecting over the y=x line is that point (x,y) becomes point (y,x)
For example, point C ( -4, 2), becomes C' ( 2, -4)
Second is a translation 10 units to the right and 4 units up from C'(2,-4) to C''(0, 12)
Which point would not be a solution to the system of linear inequalities shown below? y\ge x+5\hspace{50px}y\ge\frac{2}{3} x+6 y≥x+5y≥ 3 2 x+6 (12, 7) (-12, 1) (-12, 9) (-12, 6)
Answer:
(12,7) is not a solution
Step-by-step explanation:
Given
[tex]y\ge x+5\hspace{50px}y\ge\frac{2}{3}x + 6[/tex]
Required
Point that is not a solution
We have:
[tex]y\ge x+5\hspace{50px}y\ge\frac{2}{3}x + 6[/tex]
Substitute [tex]\frac{2}{3}x + 6[/tex] for y in the first inequality
[tex]\frac{2}{3}x + 6 \ge x + 5[/tex]
Collect like terms
[tex]\frac{2}{3}x - x \ge 5-6[/tex]
[tex]-\frac{1}{3}x \ge -1[/tex]
Solve for x (the inequality will change because we are to divide by a negative number_
[tex]x \le -1/-\frac{1}{3}[/tex]
[tex]x \le 3[/tex]
Without solving further, we can conclude that the first option is not a solution.
Because (12,7) implies that [tex]x =12[/tex]
Compare [tex]x =12[/tex] to [tex]x \le 3[/tex], then [tex]x \le 3[/tex] is false
Answer the questions.
Answer:
5.
Objective C
[tex]125x + 200 \geqslant 1200 \\ 125x \geqslant 1000 \\ x \geqslant 8[/tex]
7
[tex]x \: \alpha \: y \\ y = kx \\ 2.00 = k \times 8 \\ k = \frac{2.00}{8} \\ k = 0.25[/tex]
What are the solution(s) to the quadratic equation 50 – X2 = 0?
[tex]2 \sqrt{5} [/tex]
[tex] 6\sqrt{3} [/tex]
no real solution
Answer:
Step-by-step explanation:
50 - x² = 0
50 = x²
x² = 50
x = √50
[tex]x = \sqrt{2*5*5}\\\\x=5\sqrt{2}[/tex]
Answer:
[tex]50 - {x}^{2} = 0 \\ {x}^{2} = 50 \\ x = \sqrt{50} \\ x = 5 \sqrt{2} [/tex]
Solve the equation for x.
Answer:
x = 7
Step-by-step explanation:
2x + 34 = 4x + 20
2x = 14
x = 7
pleaseee helppp meeee!!!!
7th grade math help me pleaseeee
Answer:
Step-by-step explanation:
the first one is a negative correlation
6. A metal is made from copper, zinc and lead in the ratio 13:6:1
respectively. The mass of zinc is 90kg. Calculate the mass of the
metal.
Given:
A metal is made from copper, zinc and lead in the ratio 13:6:1.
The mass of zinc is 90kg.
To find:
The mass of the metal.
Solution:
It is given that the metal is made from copper, zinc and lead in the ratio 13:6:1.
Let the mass of copper, zinc and lead are 13x, 6x and 1x respectively.
The mass of zinc is 90kg. So,
[tex]6x=90[/tex]
[tex]x=\dfrac{90}{6}[/tex]
[tex]x=15[/tex]
Now, total mass of the metal is:
[tex]Total=13x+6x+1x[/tex]
[tex]Total=20x[/tex]
[tex]Total=20(15)[/tex]
[tex]Total=300[/tex]
Therefore, the mass of the metal is 300kg.
Please help asap!! I will mark you as brainliest :)
Answer:
3, 0, -5, -6
Step-by-step explanation:
7)
when x= -8, f(x) = 8-5 or 3
when x= -5 f(x) = 5-5 or 0
when x= 0, f(x) = 0-5 or -5
when x=1, f(x) = -1-5 or -6
Select the correct answer.
If function f has zeros at -3 and 4, which graph could represent function f?
A.
the graph of a quadratic function y = (1/4)(x+3)(x-4)
B.
the graph of a quadratic function y = -(1/4)(x-3)(x+4)
C.
the graph of a quadratic function y = -(x+3)(x+4)
D.
the graph of a quadratic function y = (x-3)(x-4)
5 - 3tan3x = 0 trên -π< x < π.
Answer:
x = 0.343
Step-by-step explanation:
We want to solve:
5 - 3tan(3x) = 0
such that:
-π< x < π
where π = 3.14
then:
-3.14 < x < 3.14
Let's solve the equation:
5 - 3tan(3x) = 0
-3tan(3x) = -5
tan(3x) = -5/-3 = 5/3
Now we can use the inverse tan function, Atan(x).
Remember that:
Atan( tan(x) ) = tan( Atan(x)) = x
Then if we apply that function to both sides, we get:
Atan( tan(3x)) = Atan(5/3)
3x = Atan(5/3)
x = Atan(5/3)/3 = 0.343
Please help if you answer and some extra points!
Answer: if you go to symbolab it will definitely help you and yes i know i did not help whatsoever but just try it if not im sorry
Step-by-step explanation:
A ball was kicked off a picnic table at the park and its height, h, in metres, above the ground after time, t, in seconds, is represented by h = 0.5 + 16t- 2t^2.
a) What is the height of the picnic table?
b) Complete the square to determine the maximum height of the ball?
Step-by-step explanation:
the picnic table height is 0.5 because it's the constant
and the maximum height is 28
my answer is in the image above
help pls. cant figure it out
Answer:
m=3
Step-by-step explanation:
add the m on the right side, 4m+3=15
subract the 3 on the left side, 4m=12
divide by four to isolate m, m=3
Answer:
[tex]3m+3=15-m[/tex]
[tex]3m+3=-m+15[/tex]
[tex]3m+m=15-3[/tex]
[tex]4m=12[/tex]
[tex]Divide\ both\ sides \ by\ 4[/tex]
[tex]\frac{4m}{4} =\frac{12}{4}[/tex]
[tex]\boxed{\boxed{\underline{\textsf{\textbf{m=3}}}}}[/tex]
-------------------------hope it helps...have a great day!!A regular hexagon has a perimeter of 150 m. Find its area. Leave your answer in the simplest radical form.
Answer:
1623.80 m²
√3(1875/2) m²
Step-by-step explanation:
The area, A of a regular hexagon can be obtained using the relation :
A = √3(p²/24)
The perimeter, p = 150 m
Therefore,
A = √3(150²/24)
A = √3(22500/24)
A = √3(937.5)
A = 1623.7976
A = 1623.80 m²
A = √3(1875/2) m²
What is 1/root 2
Give me that ans asap
Answer:
1/√2
Approximate numerical value
1/√2 = 0.707106781186548
---------------------------
Rationalize the denominator
(1/√2) * (√2 / √2) = √2 / 2
The 5th grade teacher ordered 32 pizzas for an end-of-year celebration for their students.
-Each pizza was cut into equal sized slices.
-Each slice was 1/8 of a pizza.
How many slices of pizza were there in all?
Answer:
256
Step-by-step explanation:
There were 32 pizzas cut into 8 slices, so multiply the number of slices per pizza by the number of pizzas.
Describe how you would factor x^2 + 10x - 24. Be specific.
Answer:
if u have more doubts feel free to ask :)
Step-by-step explanation:
x² + 10x -24
x² + 12x - 2x - 24
x(x + 12) -2(x + 12)
(x + 12) (x - 2)
Factors of 24 : ±1 , ±2 , ±3 , ±4 , ±6 , ±8 , ±12, ±24. Combination of +12 and -2 gives "10" the middle term also " 24"
Which is true regarding chords and diameters of circles?
Both chords and diameters have two endpoints on a circle. Diameters must intersect the center of a circle.
Both chords and diameters have two endpoints on a circle. Chords must intersect the center of a circle.
Chords have two endpoints on a circle. Diameters have one endpoint on a circle and one at the center.
Chords have one endpoint on a circle and one at the center. Diameters have two endpoints on a circle.
The state that is valid is
"Every diameter of a circle is also a chord because a chord of a circle is any line segment joining two points on the circumference of the circle."
What is a diameterA diameter is a line that divides a circle into two halves, a diameter is also a chord
What is a ChordA chord is a line that connects points on a circle, a chord is not a diameter because it does not divide a circle into two equal halves
Learn more about circles here:
https://brainly.com/question/10458894
x- (-3) is the same as x + (-3).
O True
O False
Answer:
false
Step-by-step explanation:
because x - (-3)
= x+3
and x + - 3
= x - 3
so they are not the same
hope this helps
Answer:
False
Step-by-step explanation:
If u minus you go the opposite direction
And you have negative 3
So you do the opposite direction of -3 which is +3
So x+3
figure B is a scaled copy of figure A. What is the scale factor from figure A to B
An equilateral triangle with side length 20 cm is shown in the diagram, work out the area of the triangle.Give your answer rounded to 1 DP.
Answer:
173.2 cm²
Step-by-step explanation:
Use the equilateral triangle area formula, A = [tex]\frac{\sqrt{3}}{4}[/tex]a²
Plug in the side length and solve:
A = [tex]\frac{\sqrt{3}}{4}[/tex]a²
A = [tex]\frac{\sqrt{3}}{4}[/tex](20)²
A = [tex]\frac{\sqrt{3}}{4}[/tex](400)
A = 173.2
So, the area of the triangle is approximately 173.2 cm²