Find the inverse of f(x)
Answer:
[tex]\huge\boxed{A.\ f^{-1}(x)=\dfrac{x-3}{5}}[/tex]
Step-by-step explanation:
[tex]f(x)=5x+3\to y=5x+3\\\\\text{exchange}\ x\ \text{with}\ y\\\\5y+3=x\\\\\text{solve for}\ y\\\\5y+3=x\qquad|\text{subtract 3 from both sides}\\\\5y+3-3=x-3\\\\5y=x-3\qquad|\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup y}{5\!\!\!\!\diagup}=\dfrac{x-3}{5}\\\\y=\dfrac{x-3}{5}\to f^{-1}(x)=\dfrac{x-3}{5}[/tex]
audio
For the canned food drive, 6 students each collected the same number of cans. They collected 48 cans in all. How many cans did each student collect?
Which of the following questions is not statistical?
a) How old are the students in my classroom?
b) What is the height of each person in my class?
c) How old am I?
d) How many letters are in the names of each person in my class
Answer:
c.
Step-by-step explanation:
A statistical question has more than 1 answer! hope this helps
Answer:
c) How old am I?
Step-by-step explanation:
This question has only one correct answer that doesn't change, making it non-satistical.
Can someone pls give me the answer to this?
it would be 10
Step-by-step explanation:
once you solve the problem which should equal up to 3000 then you would divide 30000÷3000 and get the answer of 10
Solve the system of equations.
3x – 7y = 5
9y = 5x + 5
Help me please???!!!!!!!
Answer:
im not sure
go on volume calculator
Step-by-step explanation:
A T.V. is regularly priced at $600, but it is on sale for 20% off. What's the sale price?
Answer:
$480
Step-by-step explanation:
multiply the normal price $600 by 20 then divide it by one hundred
the discount is $120
the sales price is subracting the discount of $120 from the original price of $600 then get $480 as the sales price.
Answer:
Step-by-step explanation:
Method 1: Subtract 20% from 100%, obtaining 80%, and then multiply the regular price ($600) by the decimal equivalent 0.80. We get $480 as the sale price.
Method 2: Calculate the amount of the discount by multiplying $600 by 0.20, obtaining $120. Then subtract this discount from the regular price, $600, obtaining $480.
Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode, she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone. Let D(t) denote the distance to the safe zone D (measured in meters) as a function of time t (measured in seconds).
Which of the below formulas is the correct function's formula?
A. D(t) = -25t + 160
B. D(t) = 25t + 160
C. D(t) = -25t - 160
D. D(t) = 25t - 160
Step-by-step explanation:
A. D(t) = -25t + 160
this is the correct answer because if you substitute 3 you get 85
A cylinder has a volume of 200 cubic centimeters. If the height of the cylinder is 10 centimeters, what is the radius of the cylinder?
Answer:
The radius of the cylinder is 2.52 cm.
Step-by-step explanation:
The formula for the volume of a cylinder of radius r and height h is
V = πr²h. We can solve this for r² by dividing both sides of the equation by πh:
r² = V / (πh)
Then the desired radius is found by taking the square root of this.
r = √{V / [πh]}
200 cm^2
Here, r² = ------------------- = 6.37 cm^2
3.14(10 cm)
and so r = √6.37 cm^2 = 2.52 cm
The radius of the cylinder is 2.52 cm.
Answer:
radius = 2.52 cm
Step-by-step explanation:
[tex]Volume = \pi r^2 h\\\\200 = \pi r^2 \times 10\\\\\frac{200}{10 \times \pi} = r^2 \\\\6.332 = r^2 \\\\\sqrt{6.332} = r \\\\r = 2.52 \ cm[/tex]
Please help!! I'm in summer school and I can't fail
Answer: D, (1,3)
Hope this helped
Answer:
b. (0, 1.5)
Step-by-step explanation:
[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\(3,7)\\(-3,-4)\\3+(-3)/2 , 7+(-4)/2\\(0, 1.5)[/tex]
Help please
Identify the vertex and the y-intercept of the graph of the function.
y = 0.5(x – 3)²
Answer:
7
Step-by-step explanation:
Angle measurements 84 degree help find out what’s the other side degree
Answer: 84 degrees
Step-by-step explanation: because of corresponding angles
Solve 5x + 14 = k for x.
Answer:
x = (k-14)/5
Step-by-step explanation:
5x + 14 = k
Subtract 14 from each side
5x + 14-14 = k-14
5x = k-14
Divide by 5
5x/5 = (k-14)/5
x = (k-14)/5
Answer:
k - 14/5
Step-by-step explanation:
5x + 14 = k
On subtracting 14 on both sides,
5x = k - 14
On dividing by 5 on both sides,
x = k - 14/5
Therefore, the value of x = k-14/5
Hope this helps You
Please mark as the Brainliest
Thank You
HELP
PLSSSSSSSSSSSSSSSSSSSSSS
OH SO LIKE CHESTER WAS A REALLY BAD PERSON.
simplified, -14xy − (-3xy) is
Answer:
-11xy
Step-by-step explanation:
-14xy -(-3xy)
multiply the bract first - sign * minus sign is plus sign
-14xy+3xy
since they are like terms u can subtract them.u should subtract them because minus and plus means subtract and we should put minus sign in front of the answer because 14 is the highest number and it's sign is negative .
-11xy
Function p represents the number of people in the library on a Monday as a function of hours since the library opened.
Here is the graph of function p
Answer:
C (3rd choice)
Step-by-step explanation:
Domain (x-values):
We can see that there is a max number of 14 hours and a min. of 0 hours. This means that the domain is [0, 14]. Note that the domain would be in brackets (as opposed to parentheses) because the values are included in the data set. Since time works on a continuum, it can be reasonably concluded that all values should be included (e.g., 1.5 hours exists). Therefore, we would state that all numbers from 0 to 14 are valid in the domain.
Range (y-values):
We can see that there is a max of 85 people and a min. of 0 people. This means that the range is [0, 85]. Again, since the values 0 and 85 are both included in the data, the range is notated in brackets. Be mindful that there is no such thing as half person, so the range must only include whole numbers. That means this chart acts as a step-function.
The diameter of a strand of rope is 1.2 ×10^-3 inch. The diameter of a strand of floss is 2.0 ×10^-4 inch.
How much longer is the diameter of the strand of rope than the diameter of the strand of floss?
A. 2.0 ×10^-7 inch
B. 1.0 ×10^-7 inch
C. 2.0 ×10^-3 inch
D. 1.0 ×10^-3 inch
Answer:
D. 1.0 x 10^-3
Step-by-step explanation:
1.2 ×10^-3 = .0012
2.0 ×10^-4 = .0002
.0012
.0002
_______
.0010 = 1.0 x 10^-3
Answer:D
Step-by-step explanation:
Please Help!!!
Determine the range of the following graph:
Answer:
[-1, 6)
General Formulas and Concepts:
Algebra I
Reading a coordinate planeAlgebra II
Range is the set of y-values that are outputted by function f(x)Interval Notation - [Brackets] denote inclusion and (Parenthesis) denote exclusionStep-by-step explanation:
According to the graph, our y-values span from -1 to 6. Since -1 is a closed dot, it is inclusive. Since 6 is an open dot, it is exclusive:
Range would then be [-1, 6).
The vertices of quadrilateral LMNP are L(-1 , 7), M(4,9), N(8, -1), and P(3,-3). Using the distance or slope formula(s), determine the most precise classification of LMNP: parallelogram, rectangle, rhombus, or square
Answer:
Its a rectangle.
Step-by-step explanation:
After graphing the points, we can quickly figure out it cant be a square.
Then, when we draw the sides, we see it has to be a rectangle, since each side has a perfect 90 degree angle, and the opposite side lengths are parrelel.
Answer:
Step-by-step explanation:
NEED HELP! Will give brainliest!!!
1) 2(x + 7)
2x + 14
2) 8 (x - 3)
8x - 24
3) -4 (y - 6)
-4y + 24
4) -5 (2x + 3)
-10x - 15
Can 4, 6, and 12 be the measure of the sides of a triangle?
and
Can 6, 15, and 20 be the measure of the sides of a triangle?
Answer:
yes they can
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
yes they can............
Help please & Thankyouu if you don’t mind would really appreciate it!
Answer:
[tex]{ \tt{area = \frac{1}{2}h(a + b) }} \\ = \frac{8}{2} (10 + 15) \\ \\ { \tt{area = 100 \: {cm}^{2} }}[/tex]
Does this graph represent a function? Why or why not? Sey A. No, because it fails the vertical line test. B. Yes, because it has two straight lines. C. Yes, because it passes the vertical line test. D. No, because it is not a straight line
Answer: it’s A..
Step-by-step explanation:
No, because it fails the vertical line test.
Jaiver bought a new TV for 479.76. He will make equal payments each month for 2 years . Estimate each payment.
Answer:
$19.99
Step-by-step explanation:
There are 12 months in a year, so in 2 years, there are 24 months.
Find how much each payment will be by dividing the cost by 24:
479.76/24
= 19.99
So, each payment will be $19.99
Brainliest goes to whoever answers correctly
Answer:
1/9
Step-by-step explanation:
6/9 is 1/9th bigger than 5/9
Answer:
B
Step-by-step explanation:
6/9-5/9=1/9
i need help on this assignment
Given:
A figure of a rectangular prism with length l, width w and height h.
To find:
The surface area of the rectangular prism.
Solution:
The product of twice of the length l and the width w is:
[tex]2\times l\times w=2lw[/tex] ...(i)
The product of twice of the length l and the height is:
[tex]2\times l\times h=2lh[/tex] ...(ii)
The product of twice of the width w and the height h is:
[tex]2\times w\times h=2wh[/tex] ...(iii)
The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:
[tex]A=2lw+2lh+2wh[/tex]
[tex]A=2(lw+lh+wh)[/tex]
Therefore, the required expression is [tex]2(lw+lh+wh)[/tex].
Complete the steps to simplify ^5 square root of 4 * square root of 2
Rewrite using rational exponents.
Answer:
2^(2/5) * 2^½ => first option
Step-by-step explanation:
^5√4 * √2 = ^5√2² * √2
= 2^(2/5) * 2^½ => first option
The expression can be written as [tex](4)^\frac{1}{5}\times(2)^\frac{1}{2}[/tex]. The correct option is C.
What is an expression?The symbol " that expresses a number's root is known as radical, and it is read as x radical n or the nth root of x. The horizontal line that surrounds the number is known as the vinculum, and the number beneath it is known as the radicand. The index or degree is the number n written before the radical.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is ⁵√4 x√2. The expression can be written as:-
E = ⁵√4 x√2
[tex]E = (4)^\frac{1}{5}\times(2)^\frac{1}{2}[/tex]
To know more about an expression follow
https://brainly.com/question/28519153
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PLSS HELP MEEE I NEED HELP
Answer:
The answer should be A.
Step-by-step explanation:
Chang wants to rent a boat and spend at most $44. the boat cost $8 per hour, and chang has a discount coupon for $4 off. what are the possible numbers of hours chain could rent the boat? Use "t" for number of hours .
Answer:
6 hours.
Step-by-step explanation:
Here's my work.
Chang only wanted to spend $44, and the boat costs $8/hr. So, the variable would only be 8t, and you would put 44 on the other side.
Then, you'd put -4 on the side with 8t, because you can take off $4.
So, the setup would be;
44 = 8t - 4.
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer:
8 17/18
Step-by-step explanation:
3 5/6 + 5 1/9
23/6 + 46/9
161/18
8 17/18