Answer:
A
Step-by-step explanation:
Inverse means that the function is reversed from the original function, f(x).
To find the inverse function of f(x)=5x-11, add 11 to x, then divide the expression by 5.
This would be (x+11)/5.
So, you know that A is true.
Try the other selections too.
B: [tex]g(x)=x^3/2[/tex] The x should be tripled before being divided by 2; FALSE
C: [tex]g(x)=7/(x+9)[/tex] 7 should by in the numerator; FALSE
D: [tex]g(x)=6(x+8)[/tex] 8 should be added before being multiplied by 6; FALSE
I hope this helps!!!
Using composite functions, it is found that the pair of functions that are inverse of each other is given by:
A. [tex]f(x) = 5x - 11[/tex] and [tex]g(x) = \frac{x + 11}{5}[/tex]
------------------
The composite of functions f and g is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
Two functions f and g are inverse of each other if:
[tex]f(g(x)) = g(f(x)) = x[/tex]
Item a:
[tex]f(x) = 5x - 11[/tex]
[tex]g(x) = \frac{x + 11}{5}[/tex]
[tex]f(g(x)) = f(\frac{x + 11}{5}) = 5(\frac{x + 11}{5}) - 11 = x + 11 - 11 = x[/tex]
[tex]g(f(x)) = g(5x - 11) = \frac{5x - 11 + 11}{5} = \frac{5x}{5} = x[/tex]
Since [tex]f(g(x)) = g(f(x)) = x[/tex], these functions are inverse of each other.
A similar problem is given at https://brainly.com/question/23458455
a single digit times a power of 10 to estimate the number 0.00007216
Help I need help on this question
Answer:
1/3 is the y intercept
Step-by-step explanation:
f(x) = -2/9x + 1/3
This is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
-2/9 is the slope and 1/3 is the y intercept
Is 8:3 and 32:12 equivalent fractions
Answer:
Yes.
Step-by-step explanation: 8/3 is equal to 32/12, but simplified. Hope this helps!
Part D
Compare your answers in parts B and C. Did your predictions for the coordinates of the reflected images match the actual results? Why or why
Answer/Step-by-step explanation:
Yes, it did because the coordinates of the other polygons would be a direct opposite of polygon ABCD depending on what line it reflects off of. If it reflects off of the y-axis then they would be the same coordinates, just that the X values of the coordinates would now be positive, for the reflection of the x-axis it is also the same except that now the x value would now stay negative while the y values would now be positive. For y=x, it is different because now the X, and Y place values now switch (for example, (-3,-2) would now be (-2,-3)). For y=-x, the place values would both switch, and now be positive.
PS; PLATO does not have an answer this is my personal answer since I am also on this assignment.
Sorry if this response is late! Hope you did well! :)
The coordinates of the reflected images match the actual results because of the following reason.
What is coordinate?Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis (vertical).
Yes, because the coordinates of the other polygons will be in opposite of polygon ABCD depends on what line it reflects off .
Suppose if it reflects off of on the y-axis then the coordinates will be same, only the x- coordinate will be positive.
and if the reflection of the x-axis, the coordinate will be same only the y- coordinate will be negative and the x- coordinate remain positive.
but, For y=x it is different because now the both the x- coordinate and the y- coordinate will be switched with their sign.
Learn more about coordinate here:
https://brainly.com/question/15300200
#SPJ2
TurboTax will have one 45-second commercial. How much money will they spend?
Compute -8+2.8+7.3 find the answer
use the calculator but the answer is 18.1
6-(666+987889879878)
Answer:
−987889880538
Step-by-step explanation:
Answer:
-987889880538
Step-by-step explanation:
ez
Solve for v
-39v=4v+7(v+7)
Answer:
-49/50
Step-by-step explanation:
-39v=4v+7(v+7)
Distribute
-39v = 4v +7v+49
Combine like terms
-39v = 11v+49
Subtract 11 v from each side
-39v-11v = 11v-11v +49
-50v = 49
Divide by -50
-50v/-50 = 49/-50
v = -49/50
Answer:
v= - 49/50
Step-by-step explanation:
-39v=4v+7(v+7)
open the parentheses by multiplying both v&7 by 7:
-39v=4v+7v+49
add like terms:
-39v-4v-7v=49
-50v=49
divide both sides by -50:
v= - 49/50
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below? On a coordinate plane, a cubic function crosses the x-axis at (negative 6, 0), (negative 3, 0), (0, 0). x – 6 x – 3 x + 1 x + 6
Answer:
D: x+6
Step-by-step explanation:
The factor of the polynomial function f(x) is x + 6
What are factors?The factors of a polynomial are the quotients and the zeros of the polynomial
The points on the polynomial curve are given as:
(-6,0), (-3,0) and (0,0)
So, we have:
x = -6
x = -3
x = 0
Equate the above equations to 0
x + 6 = 0
x + 3 = 0
x = 0
Hence, the factor of the polynomial is x + 6
Read more about polynomial factors at:
https://brainly.com/question/24380382
At Al's Pizza they have the Expo Pizza, which is a 24-inch cheese pizza that costs $17.50. Each topping for the pizza costs $2.35. You order a pizza and get charged $29.25. Which equation represents the situation described?
A.29.25 = 17.50 +2.35x
B. 29.25 = 17.50x + 2.35
C. 2.35x = 29.25 + 17.50
D.17.50 +2.35 = 29.25x
Answer:
Compare and contrast the to main candidates
Step-by-step explanation:
Help
Miguel selects five DVDs to purchase. A few of the DVD cases appear to be damaged, so the manager gives Miguel a 20% discount on his entire purchase. Miguel tries to guess how much money will be deducted from the total cost. What is the cost of the DVDs before tax is added? Show your work.
Answer:
d * 0.20 = x
Step-by-step explanation:
In order to calculate the total cost of the DVD's we first need to change the percentage of the discount that Miguel's manager is giving him into decimal format by dividing the percentage by 100 like so...
20 / 100 = 0.20
Now that we have the decimal value we can multiply it by the actual cost of the DVDss to find the total cost before taxes. Since we do not have the actual DVD cost we would make the following equation where x is the final total cost and d is the initial cost of the DVDs.
d * 0.20 = x
There are 366 days in a leap year and 24 hours in a day. How many hours are in a leap year?
Answer:
8784. is the answer to the question
Answer:
8,784 hours
Step-by-step explanation:
You should come up with an equation. I came up with 366 x 24 = x. 366 is the number of days with 24 being the number of hours.
366 x 24 = 8,784 hours
Leah deposited $50,000 in the bank. Three years later, she borrowed $40,000 for a new truck. From this description, which is the most accurate statement? Leah is earning more interest than she is paying. Leah did not have to provide collateral. Leah is being charged too much interest. Leah has the character to make payments on the loan.
Answer: B. (Leah did not have to provide collateral.)
Highlands
The dot plots show rainfall totals for several spring
storms in highland areas and lowland areas.
What is the range of rainfall for the highland storms?
4 0 8 10 12 14 16 18 20 22 24 26 28 30 32
Lowlands
What is the range of rainfall for the lowland storms?
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30
Answer:
30
26
Step-by-step explanation:
PLZ HELP, BEST ANSWER GETS BRAINLLEST!
Determine the two closest integers for each irrational number.
the square root of 19
the square root of 50
the square root of 117
Answers:
a) 4 and 5b) 7 and 8c) 10 and 11=====================================================
Work Shown:
List out the perfect squares
{1,4,9,16,25,36,49,64,81,100,121}
We stop once we reach 117 or just a bit higher.
---------------------------
Then notice that
[tex]16 < 19 < 25 \ ... \ \text{19 between the squares 16 and 25}\\\\\sqrt{16} < \sqrt{19} < \sqrt{25} \ ... \ \text{ apply square root to all sides}\\\\4 < \sqrt{19} < 5[/tex]
Which shows [tex]\sqrt{19}[/tex] is between 4 and 5. Therefore, the two closest integers to [tex]\sqrt{19}[/tex] are 4 and 5.
---------------------------
We follow the same steps for [tex]\sqrt{50}[/tex]
So,
[tex]49 < 50 < 64\\\\\sqrt{49} < \sqrt{50} < \sqrt{64}\\\\7 < \sqrt{50} < 8[/tex]
So the square root of 50 is between 7 and 8.
---------------------------
And finally,
[tex]100 < 117 < 121\\\\\sqrt{100} < \sqrt{117} < \sqrt{121}\\\\10 < \sqrt{117} < 11[/tex]
---------------------------
Using a calculator, we find that
[tex]\sqrt{19} \approx 4.36[/tex]
[tex]\sqrt{50} \approx 7.07[/tex]
[tex]\sqrt{117} \approx 10.82[/tex]
which helps confirm our answers.
Evaluate x2 - 7xy for x = 7 and y = 3.
Answer:
-98
Step-by-step explanation:
I hope this help
kyler Ran 28 miles in 4 days what was Kyler's unit rate of miles to a day?
Answer:
7 is the unit rate.
Step-by-step explanation:
7 because 7x4 is the 28.
Answer:
the answer is 7
Step-by-step explanation:
28/4=7 therefore his unit rate of miles a day is 7
Complete the square to write 16t² - 96t + 48 = 0
Answer:
first part:
(t-3)^2=6
second part:
0.55
5.45
Step-by-step explanation:
answer on edge uity
Complete square form of the equation 16t² - 96t + 48 = 0 is (t -3)² = 6.
What is a quadratic equation?A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.
The standard form of a quadratic equation is ax² + bx + c = 0.
Where a, b and c are constants.
The given quadratic equation is,
16t² - 96t + 48 = 0
To find the square for the quadratic equation,
Simplify the quadratic equation,
16(t² - 6t + 3 ) = 0
Add 96 in whole equation,
16(t² - 6t + 3 + 6) = 16 x 6
16(t² - 6t + 9) = 96
t² - 6t + 9 = 96 /16
t² - 6t + 9 = 6
(t -3)² = 6
The required square form of the equation is (t -3)² = 6.
To know more about Quadratic equation on:
https://brainly.com/question/17177510
#SPJ2
all you need is in the photo
Answer:
slope is -1, y intercept is 5
Step-by-step explanation:
slope formula is y1-y2 over x1-x2
plug in formula
u get the slope is -1
Answers:
Slope = 4
Y intercept = 5
======================================================
Explanation:
Start at the point (-1,1) which is one point on the line. Then move up 4 units and to the right 1 unit to get to (0,5). This is another point on the line.
Therefore the slope = rise/run = 4/1 = 4.
You could also use the slope formula m = (y2-y1)/(x2-x1)
---------------
The y intercept is 5 since the line crosses the y axis at this location. More specifically this is the point (0,5). For any y intercept, x = 0.
The equation of this line in slope intercept form is y = 4x+5. Compare it to y = mx+b and we have m = 4 as the slope and b = 5 as the y intercept.
solve simultaneous equations 4x+2y=7
3x-5y=-24
Answer:
x= -1/2
y= 4.5
Step-by-step explanation:
4x+2y=7
3x-5y=-24
First either make the x or y's the same. It is easier here to make the y's the same.
Multiply each of the first equation by 5 and the second one by 2.
x5 4x+2=7 x5 = 20x+10y=35
x2 3x-5y=-24 x2= 6x-10y=-48
20x+10y=35
6x-10y=-48 +both equations
26x=-13
/26
x=-1/2
Now substitute to find y.
4(-1/2)+2y=7
-2+2y=7
+2
2y=9
/2
y= 4.5
Hope this helped :)
(- x2 + 9xy) – (x2 + 6xy - 8y2) =
Answer:
(15x- 8y)
Step-by-step explanation:
"y2" was replaced by "y^2"
((0-(x2))+9xy)+(((x2)+6xy)-23y2)
15xy - 8y2
= y • (15x - 8y)
A puppy weighs 3 pounds what is the puppy's weight in ounces
Answer:
48 onces
Step-by-step explanation:
Answer:
48 ounces.
Step-by-step explanation:
Which statement about the number 49 is true
Answer:
F.
Step-by-step explanation:
Prime means that it is only divisible by 1 and itself, and we know that it is also divisible by 7, therefore it is a composite number because it has 1, 7, and 49 as factors.
Need help ASAP Tysm
Answer:
16.81
Step-by-step explanation:
4.1x4.1=16.81
help meeeeeeeeeeeeeeee
Answer:
A
Step-by-step explanation:
Find two consecutive integers such that the sum of one-fourth of the first and one-fifth of the second is 11. PLS ANSWER.
Answer:
24 and 25
Step-by-step explanation:
1/4 of 24 = 6
1/5 of 25 = 5
6 + 5 = 11
What two perfect squares does 11 sit in
between
Answer:
9 and 16 hope this helps.
Step-by-step explanation:
What is the SLOPE-INTERCEPT form of the line that passes through the
points (-4,-1) and (3, 2.5). Make sure to choose (X1, Y1) and (x2, Y2)
carefully. Be CAREFUL with your calculations.
what is the absolute value of 2+2i?
Answer:4
Step-by-step explanation:
Answer:
4 or 2
Step-by-step explanation:
The absolute value of the complex number, 2i, is 2.
What is the potential energy of a car with a mass of 120kg at the top of a 42
meter hill?
Answer:
16
Step-by-step explanation: