Answer:
D
Step-by-step explanation:
We are given the function:
[tex]\displaystyle f(x) = \frac{1}{3} x + 2[/tex]
And we want to find its inverse h.
To find the inverse of a function, we can switch the y and x variables and solve for the new y. This will be our inverse.
We begin with:
[tex]\displaystyle f(x) = y = \frac{1}{3} x+ 2[/tex]
Switching the variables yield:
[tex]\displaystyle x = \frac{1}{3}y + 2[/tex]
And solving for y yields that:
[tex]\displaystyle y = h(x) = 3x - 6[/tex]
In conclusion, the inverse function to f is 3x - 6. Our answer is D.
To understand why we switch the variables, recall that by the definition of inverse functions, if f(a) = b, then f⁻¹(b) = a. So, by switching the variables, we are essentially solving for f⁻¹(x).
I will give brainliest.
4 (2x - 3) -6 (3x + 4)
Answer:
-2x .(5x+18)
Step-by-step explanation:
real answers only pls help
Answer:
the 4th
Step-by-step explanation:
What is 240.50 x 19.54? Give your answer to 2 significant
Show your work
Answer:
4700
Step-by-step explanation:
240.50 x 19.54
= 4699.37
2 significant = 4700
Answer:
4,699.37
Step-by-step explanation:
240.50 x 19.54 = 4,699.37
how do you check 2(3x - 3) + 2 = 26
The first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the perimeter is 15 in. How long is the third side?
If s represents the length of the second side, which of the following represents the length of the third side?
s - 4
s + 3
s - 1
5. Aisha is older than Favour Zainab is older than Aisha Favour is older than Jessica Aisha is younger than Michael Who is the youngest?
Answer:
Denote by A, F, Z, J, and M
A > F A is out
Z > A so Z is out
M > A so M is out
F > J so F is out
That leaves only J, Jessica
Also from above one can write:
(M, Z) > A > F
that only leaves J
Simplify 6days to 4weeks to it lowest term in ratio
A full tin of paint has a mass of 22 kg.When the same tin is 3/4 filled with paint,it has a mass of 17 kg.What is the mass of the empty tin
Answer: 2 kg
Step-by-step explanation:
3/4(22-x)=17-x
66/4-3/4x=34/2-x
33/2-3/4x=34/2-x
1/4x=1/2
x=2
Answer:
that's 2kg because 22*.75 is 17 the difference is -5 each time. 17- another 5 is 12 or 2/4 the original amount. you keep going and at the end you are left with 2kg
In the diagram, mcd=128º and mpA=76º. What is McABC?
Answer:
D. 102°Step-by-step explanation:
m∠ABC = m∠ABD + m∠CBD = Angle addition postulate1/2mCD + 1/2mAD = Angle measure is the half the intercepted arc1/2(128) + 1/2(76°) = 102°. for fraction having same numerator, the fraction with the __________ denominator is the greater number
Answer:
883773737383838837373737
is it weird to be listening to Christmas songs right now
Answer:
Yes and No
Step-by-step explanation:
Yes, it is weird because Halloween comes first.
No, it's not weird because it is your choice.
bye.
MATH WEEK 5 HOMEWORK
Answer:
y=3/5x-1 or y=0.6x-1
Step-by-step explanation:
Answer:
y=3/5x-1 or y=0.6x-1
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow. find sin angle C
the answer is A ;
sin = opposite/ hypotenuse
= 24/ 26 ( we need to simplify it)
= 12/13
Answer:
A or 12/13
Step-by-step explanation:
what is 5/8x+4=3/8x+12
Answer: It equals 32!
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation
Let f(x)=7x−4, g(x)=x2+4, and h(x)= x+4 7.
Evaluate the expression (f◦g◦h)(3).
Step-by-step explanation:
(x/z)=3 (7/5)= x'2
tis is the right answer
plz mark me branlists
Solve: 3,204 ÷ 119
Show the remainder as a fraction.
3204:119=
=26,92
=27/10
y=-4x^2-8x-5 find the axis of symmetry and the vertex for the parabola
Answer:
x= -1 a x i s of s ym m et ry
(-1, -1) v e r t e x
Step-by-step explanation:
M a t h w a y step by step
someone plz help plz
Answer: -1/7
I hope this helps I would appreciate brainliest if possible :)
On the following unit circle, θ θtheta is in radians and tan ( θ ) = − 0.99 0.1 = − 9.9 tan(θ)= 0.1 −0.99 =−9.9tangent, left parenthesis, theta, right parenthesis, equals, start fraction, minus, 0, point, 99, divided by, 0, point, 1, end fraction, equals, minus, 9, point, 9. y y x x 1 1 − 1 −1 1 1 − 1 −1 θ θ ( 0.1 , − 0.99 ) (0.1,−0.99) A unit circle with an angle from the positive x-axis to a ray labeled theta. The point where the ray intersects the circle is labeled 0.1, negative 0.99 and is in the fourth quadrant. Without a calculator, evaluate the following expressions to the nearest
Answer: tan(pi+theta)=-9.9
Tan(2pi+theta)=-9.9
Step-by-step explanation:
By trigonometric expressions we conclude that the values of the tangent functions of the angles π + θ and 2π + θ radians are both equal to - 9.9.
How to calculate trigonometric functions from unit circle
A unit circle is a circle with a radius of a unit used to calculate the value of trigonometric functions associated to a right triangle. In this case, the tangent function for a point (x, y) is:
tan θ = y/x (1)
The trigonometric expression for the tangent of the sum of two angles:
[tex]\tan (\alpha + \theta) = \frac{\tan \alpha + \tan \theta}{1 - \tan \alpha \cdot \tan \theta}[/tex] (2)
Now we proceed to calculate the trigonometric expressions:
[tex]\tan (\pi + \theta) = \frac{\frac{-0.99}{0.1}+0}{1-\left(\frac{-0.99}{0.1}\right)\cdot (0)}[/tex]
[tex]\tan (\pi + \theta) = -9.9[/tex]
[tex]\tan (2\pi + \theta) = \frac{\frac{-0.99}{0.1}+0}{1-\left(\frac{-0.99}{0.1}\right)\cdot (0)}[/tex]
[tex]\tan (2\pi + \theta) = -9.9[/tex]
By trigonometric expressions we conclude that the values of the tangent functions of the angles π + θ and 2π + θ radians are both equal to - 9.9.
To learn more on trigonometric expressions: https://brainly.com/question/6904750
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Subtracting Unlike denominators 1/3 - 1/6
Answer:
1/6
Step-by-step explanation:
1/3 - 1/6
1×2/3×2 - 1×1 / 6×1 ( LCM of 3 and 6 )
2/6 - 1/6
2-1/6
1/6 answer
1. In the adjoining figure, p||q .Find the unknown angles.
Answer:
Step-by-step explanation:
d = 125 {corresponding angles are equal}
e + 125 = 180 {linear pair}
e = 180 - 125
e = 55
f = e {Vertically opposite angles}
f = 55
c = f {corresponding angles are equal}
c = 55
a = c {Vertically opposite angles}
a = 55
b =d {Vertically opposite angles}
b = 125
Answer:
a = 55°
b = 125°
c = 55°
d = 125°
e = 55°
f = 55°
Step-by-step explanation:
125 + e = 180
e = 180 - 125
e= 55°
e = f = 55°
f = a (being alternate angles)
a = c( being vertically opposite angles)
d = 125°(being corresponding angles)
d = b (being vertically opposite angles)
Steven measures the weight of a random sample of 49 basset hounds the mean wait was 45.8 lb with a standard deviation of 3 lb using the alternative hypothesis that Miu is less than 45.8 Steven found a ztest statistic of -1.5 what is the p value of the test statistic
Answer: 0.067
Step-by-step explanation:
Look at chart, go to the row for the z-column for -1.5 and then the column 0, this value is 0.0668 or 0.067.
The p-value of the test statistic is approximately 0.0668.
Given that,
Steven measured the weight of a random sample of 49 basset hounds.
The mean weight of the sample was 45.8 lbs.
The standard deviation of the sample was 3 lbs.
Steven used an alternative hypothesis that the true mean weight is less than 45.8 lbs.
Steven found the z-test statistic of -1.5.
Based on the information provided,
We can see that Steven has conducted a hypothesis test to determine whether the true mean weight of basset hounds is less than 45.8 pounds.
To calculate the p-value for this test statistic,
Use a standard normal distribution table to determine the area under the curve to the left of the z-score of -1.5.
Using a standard normal distribution table,
Find that the area to the left of -1.5 is approximately 0.0668.
This means that there is a 6.68% chance of getting a sample mean of 45.8 or less assuming that the true population mean is actually 45.8.
Alternatively, we can use a calculator to find the p-value.
Using a calculator, we would input the z-score of -1.5 and the degrees of freedom (which is n-1, or 48 in this case) into the calculator.
This would give us a p-value of approximately 0.0668 as well.
Thus,
The p-value of the test statistic is approximately 0.0668.
To learn more about statistics visit:
https://brainly.com/question/30765535
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find the values of p and q such that 4x^2+12=4(x-p)^2+q
!!!!!
Answer:i dont know please answer this
Step-by-step explanation:
please please help me
Answer:
a) Angle(A+B+C) = 180°
3x - 2° + x - 2° + 2x + 4° = 180°
6x = 180°
x = 30°
<A = 3(30°) - 2° = 88°
<B = 30° - 2° = 28°
<C = 2(30°) + 4° = 64°
b) at point Q
3y + 6y = 180°
y = 20°
<Q = 3(20°) = 60°
<S = 20°
x = 180° - (<S + <Q)
x = 180° - (80°)
x = 100°
<R = 100°
Express 15 3/5 as a fraction in simplest form
Answer: 78/5
Step-by-step explanation:
To simplify this fraction, we should get rid of 15 in order to only have a numerator and a denominator. We would first multiply 15 with 5.
15 * 5 = 75
Then we would add 75 to 3.
75 + 3 = 78
We now have our numerator for our simplified fraction.
78/5
on a number line, where would 4/10 be located? choose all answers that make a true statement.
Answer:
A and B only
Step-by-step explanation:
Number lines have smaller numbers on the left and larger numbers on the right. To determine the position of 4/10 on the number line, we just need to compare the value to the values in the answer choices.
a. 4/10 is equivalent to 2/5 (2/5 is just a simplified version of 4/10). If you multiple both the numerator and denominator of 2/5 by 2, you will get 4/10. If you do 4 divided by 10 and 2 divided by 5, you'll also see that they are both equivalent to 0.4. Hence, they have the same value and will be in the same place.
b. 3/10 is smaller than 4/10. In a case where the denominators of two fractions are the same, a smaller numerator would mean a smaller value. In addition, 3/10 is equivalent to 0.3 and 4/10 is equivalent to 4/10 so 0.3 is less than 0.4. That means 4/10 will be on the right of 0.3 because it's a larger number.
c. Using the same logic as part b, 2 is less than 4. That means 2/10 is less than 4/10, so 4/10 would be on the right of 2/10, not the left.
d. Same logic as parts b and c. 7 is greater than 4, so 4/10 should be on the left of 7/10 not right.
What is the solution to (x – 5)(2x + 1)(x – 7) > 0?
BRAINLIESTTT!!!!
What is the area of my lawn if it measures 6m x 5.2m?
Answer:
31.2 m²Step-by-step explanation:
Area of Rectangle = (a × b) square units.
so
6 * 5.2 =
31.2 m²
Simplify the expression.
2+2 4+3
O 6
o 7
o 21
067
Yall help this is worth 30 points
The sum of three numbers is 28,542.two of the numbers are 10,350, and 9,750. Find the third number.
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[tex]HELLO! :)[/tex]
28,542-10,350-9,750=8,442So the third number is 8,442Hope this helps! :)[tex]GraceRosalia[/tex]