Answer:70
Step-by-step explanation:
Which of the following are polynomials?
A- a^0
B- 0
C- a^0 + 17
MT&A uses the function f(x)=475-15x-15x.to depreciate smart phones. where f represents the value of smart phone and x represents the number of months since its purchase. a) find f^-1 and explain what it represents in this situacions When will the deprecated value of smart phone be less than $100.00? what does x represent in f^-1(x) =30? What is the value of x? Graph f(x) and f^-1 (x) on the same coordinate
Answer:
Find the answers in the explanation
Step-by-step explanation:
The given function is
f(x)=475-15x
A.) To find f^-1 and explain what it represents in this situacions, let f(x) = y. That is,
Y = 475 - 15x
Interchange y and x and make y the subject of formula
X = 475 - 15y
-15y = x - 475
Y = 475/15 - x/15
Y = (475 - x) / 15
Therefore,
f^-1(x) = (475 - x) / 15
If the function depreciates the smartphone, then, the inverse function will appreciate it.
When will the deprecated value of smart phone be less than $100.00
Substitute 100 for f(x) and find x
100 = 475 - 15x
-15x = 100 - 475
-15x = - 375
X = 375/15
X = 25
Therefore, the deprecated value of smart phone be less than $100.00 in the next 26 months.
what does x represent in f^-1(x) =30?
X represent the number of months for the smartphone appreciations
What is the value of x?
Substitute the inverse function for 30 and make x the subject of formula in the equation
f^-1(x) = (475 - x) / 15
30 = (475 - x) / 15
Cross multiply
450 = 475 - x
X = 475 - 450
X = 25 months
Graph f(x) and f^-1 (x) on the same coordinate
Katrina drinks .5 gallons of water per day which expression shows how to find the number of cups of water she drinks in a week
Answer:
8w = 3.5gal
Step-by-step explanation:
1 gal = 16c
0.5gal = 8c
W = 7
8w = 3.5gal
simplify the expression.
7yz / -2z
Write scientific notation 1081
Answer:
1.08 x 10³
Step-by-step explanation:
Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10b.
Follow the steps below to see how 1,080 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 1,080
New Number: 1.080
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 1 . 0 8 0
Decimal Count: 1 2 3
There are 3 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 1.08 (Please notice any zeroes on the end have been removed)
b = 3
Now the whole thing:
1.08 x 10³
Step 4
Check your work:
10³ = 1,000 x 1.08 = 1,080
Hope this helped
Which set of ordered pairs represents a function?
{(-8,4),(-5,7),(-8, -1),(-4,8)}
{(-5, -5), (7,2), (-7, -3), (-7,0)}
{(-6,2).(-5,6),(-3,7).(-9, 2)}
{(-7,8), (-7,2), (7,6),(4,2)}
How many solutions does the equation 3x + 15 = 2x + 10 + x + 5 have?
Answer:
18=18
Step-by-step explanation:
it dosent give x so just put them all together without x and its equal so(=)
-. Jane bikes at a rate of 12 miles per hour. Write an expression for the amount
she bikes in h hours.
Answer:
12h
Step-by-step explanation:
Since we know that Jane rides her bike at the rate of 12 miles per hour,
12h
2x – 3y = 18
Solve for y.
Answer:
y= -6+2/3x
Step-by-step explanation:
2x-3y=18
Minus the 2x from both sides
-3y=18-2x
Then divide both sides by -1
-3y÷-1=18÷-1 -2x÷-1
Lastly divide both sides by 3
3y÷3= -18÷3+2x÷3
The equation 2x - 3y = 18 can be written as y = (2/3)x - 6 after arranging the terms and making subject y.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation is:
2x – 3y = 18
2x - 3y = 18
-3y = 18 - 2x
y = (2/3)x - 6
Thus, the equation 2x - 3y = 18 can be written as y = (2/3)x - 6 after arranging the terms and making the subject y.
Learn more about the linear equation here:
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Which is the mode in this data set 55,78,43,39,78,61,75,50,43,78
Answer:
the mode is 78 out of all the numbers
6. Solve the equation and state a reason for each step. 3x +4 = 13
Answer:
x=3
Step-by-step explanation:
3x+4=13
-4=-4
3x=9
÷3=÷3
x=3
a cup of coffee contains 150 milligrams of caffeine. if caffeine is eliminated from the body at a rate of 14% per hour, how long will it take for half of this caffeine to be eliminated from a person's body? round your answers to the nearest hour
A. 7 hours B. 6 hours C. 5 hours
D. 4 hours
Answer:
Step-by-step explanation:
14% of 150 mg = 0.14* 150 = 21 mg
21 mg will be eliminated from our body in an hour
150/21 = [tex]7\frac{3}{21}[/tex]
= 7 hours { rounding to the nearest}
Please help! Urgent! I am giving brainlist.
What is the answer to 8)555 with the remainder and this is division.
Answer:
69 <-- quotient
---
Step-by-step explanation:
8)555
48
--
75
72
--
3 <-- remainder
Find the midpoint of the line segment joining the points R(-5,5) and S(4.6).
Hey there! I'm happy to help!
To find the x value of the midpoint, you add the x values and divide by 2.
-5+4=-1
-1/2=-1/2
For the y value, you add the y values and divide by 2.
5+6=11
11/2=5 1/2
So, the midpoint is (-1/2, 5 1/2).
Have a wonderful day! :D
Find the midpoint of the segment with the given endpoints.
(-10,10) and (-9,6)
Answer:
The answer is
[tex]( - \frac{19}{2} \: , \: 2)[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-10,10) and (-9,6)
The midpoint is
[tex]M = ( \frac{ - 10 - 9}{2} , \: \frac{10 - 6}{2} ) \\ = ( - \frac{19}{2} \: , \: \frac{4}{2} )[/tex]We have the final answer as
[tex]( - \frac{19}{2} \: , \: 2)[/tex]Hope this helps you
Please help I'm having trouble with 2,3,4
Answer:
Your correct
Step-by-step explanation: x(-x) = -x
-5x-2x-1=-10
and the last one right too
Answer:
you were correct on 2/3
2. Negative
3. Negative
4. Negative
Step-by-step explanation:
...
NEED HELP!!! WILL MARK BRAINLIEST!!!
Answer:
1: 6
Step-by-step explanation:
Cross multiple 9 and 6
Cross multiple 8 and k, 8 and 6
8k + 6 = 54
-6 -6
8k= 48
divide by 8 on both sides
k = 6
I will give brainliest please help!! Solve the top problem
Answer:
f(4) = 5
Step-by-step explanation:
f(4) means x=4
Using the function 4 >0 so using the lowest part
x+1 when x>0
4+1
5
f(4) = 5
Answer:
20. f(4) = 5
21. f(-6) = -6
22. f(0) = 0
23. f(-5) = -5
Step-by-step explanation:
The function is defined differently depending on the interval that x is in.
If x < -6, then f(x) = -2x^2 - 1. Definition A.
If -6 <= x <= 0, then f(x) = x. Definition B.
If x > 0, then f(x) = x + 1. Definition C.
For each value of the function you are asked to find in questions 20 through 23, the first thing to do is to see in which interval x is. Then you decide which function definition to use.
20. f(4)
4 is in the interval of Definition C.
f(x) = x + 1
f(4) = 4 + 1
f(4) = 5
21. f(-6)
-6 is in the interval of definition B.
f(x) = x
f(-6) = -6
22. f(0)
0 is in the interval of definition B.
f(x) = x
f(0) = 0
23. f(-5)
-5 is in the interval of definition B.
f(x) = x
f(-5) = -5
The sum of three numbers is 12. The second number is equal to the sum of the first and third numbers. Twice the first number exceeds the second number by 4. Find the numbers.
Answer:
the first number is 5 the first second is 6 the first number is 1Step-by-step explanation:
x - first number
2x - twice the first number
twice the first number exceeds the second number by 4 so:
2x-4 -the second number
y - the third number
the second number is equal to the sum of the first and third numbers:
2x-4 = x + y
x + y = 2x - 4
-x -x
y = x - 4 - the third number
the sum of three numbers:
x + 2x-4 + x-4 = 4x - 8
The sum of three numbers is 12 so:
4x - 8 = 12
+8 +8
4x = 20
÷4 ÷4
x = 5
2x-4 = 2•5 - 4 = 6
x-4 = 5 - 4 = 1
Check:
5+1 = 6
2•5 = 10, 10-4 = 6
Given 4x(5x+6)=-5 what value of x makes this equation true?
Answer:
x = 8.8
Step-by-step explanation:
4x(5x+6)=-5
20x + 24x = -5
44x = -5
44 divided by 5 equal 8.8
x = 8.8
pls mark brainlest ;)
Hope this helps you :)
Simplify 3-8n+5n+8 explain
What is the solution to the division problem below? (You can use long division
or synthetic division.)
x - x2 - 11x +3
x + 3
O A. x2 - 5x+1
O B. x2 - 6x + 1
O c. x2 - 4x + 1
O D. x2 - 7x+1
Answer:
C. x² -4x +1
Step-by-step explanation:
The synthetic division is shown below. The quotient corresponds to answer choice C.
Select the correct answer. When Matt rewrote the given expression, he got 18. (36) 1/2 Which statement is correct? Matt rewrote the expression incorrectly. The expression is equivalent to 6. Matt rewrote the expression incorrectly. The expression is equivalent to 9. Matt rewrote the expression correctly. Matt rewrote the expression incorrectly. The expression is equivalent to 1/18
Answer: Choice A) He wrote it incorrectly. He should have gotten 6.
This is because exponents of 1/2 are the same as square roots.
[tex](36)^{1/2} = \sqrt{36} = 6[/tex]
Matt probably thought it was 36 times 1/2, which may explain how he got 18.
Matt rewrote the expression incorrectly. The expression is equivalent to 6. Option A is correct.
Given that,
Matt rewrote the given expression, he got 18. [tex](36)^{1/2}[/tex] Which statement is correct is to be determined.
In mathematics, it deals with numbers of operations according to the statements.
What is simplification?The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
Since matt made a mistake in his calculation, let correct the calculation and determined what should be the matt mistake.
Simplification
[tex]= (36)^{1/2}\\= (6^2)^{1/2}\\=(6)^{2 * 1/2}\\= 6[/tex]
Thus, Matt rewrote the expression incorrectly. The expression is equivalent to 6. Option A is correct.
Learn more about arithmetic here:
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6x - 2 (x + 2) > 2 - 3 (x + 3)
whats the solution?
Answer:
x>−3/7
Step-by-step explanation:
I hope this helps you
The faucet drips 6 ¾ gallons of water in 4 hours
what is the unit rate?
Answer:
1.6875 gallons per hour
Step-by-step explanation:
Simplify by combining like terms: 4g + 6g - 3g
Answer:
7g is correct answer
Step-by-step explanation:
4g+6g-3g
=10g-3g
=7g
hope it helped you:)
Answer:4g + 6g - 3g = 7g
Step-by-step explanation:because 4+6 is 10 so 3 less than 10 it equals 7
true or false? in a two column proof, the left cloumn contains a series of deductions
Answer:
True
Step-by-step explanation:
The left column is for deductions
The right column is for reasons
What is the slope of the line described by the equation below?
4x-y=3
A. 1/4
B. -1/4
C. -4
D. 4
Answer: 4
Step-by-step explanation: First convert the equation to y = mx + b form.
Start by subtract 4x from both sides to get -y = -4x + 3.
From here, divide both sides by -1 to get y = 4x - 3.
Now in y = mx + b form, the slope is the multiplier, or the m.
So here, 4 is the slope.
Answer:
(D) 4
Step-by-step explanation:
In order to find the slope you need to rearrange the equation so that y is alone on one side, so:
4x - y = 3
-y = -4x + 3
y = 4x - 3
The slope is the coefficient in front of x, so the slope is 4
Ummmmmm Helppppppp Needeeeeeed
Answer:
I dont really know, but you dont have to listen but i think its D! its D!
Answer:
d: [tex]20(n-1)[/tex]
Step-by-step explanation:
[tex]2\left(n-7\right)-3\left(2-6n\right)[/tex]
Expand:
[tex]2n-2*7-3*2-(-3)*6n[/tex]
[tex]2n-14-6+18n[/tex]
[tex]2n+18n-14-6[/tex]
[tex]20n-20[/tex]
Factorise:
[tex]20(n-1)[/tex]
