Answer:
Step-by-step explanation:
f(x) = 2/3 x + 3
x = 9
f(9) = 2/3 * 9 + 3 Divide 9 by 3
f(9) = 2 * 3 + 3 Combine 2 * 3
f(9) = 6 + 3 Combine
f(9) = 9 The answer is just a coincidence. The answer for the next one shouldn't be - 3
f(-3) = 2/3 *(-3) + 3 Divide 3 into - 3
f(-3) = 2*(-1) + 3
f(-3) = -2 + 3
f(-3) = 1
How was this done?
You should observe that whatever value you see on the left in the brackets, appears where the x is on the right. This is a very important concept. You should do your best to understand it because algebra is sort of based on it.
I'm trying to find the explicit form of an equation after performing an integration. I'm a bit rusty.
ln|y| = C - cos(x)
C is an arbitrary constant.
Is it:
y = e^(c-cos(x))
or because it's an arbitrary constant, can it be written:
y = C - e^(cos(x))
Thanks.
No, it should be written as
[tex]y = Ce^{-\cos x}[/tex]
Provided that y ≠ 0, both solutions
[tex]y = e^{C-\cos(x)}[/tex]
and
[tex]y = Ce^{-\cos(x)}[/tex]
are correct. The other solution you provided,
[tex]y = C - e^{\cos(x)}[/tex]
is not.
The only difference between the "valid" solutions lies in the particular value of the arbitrary constant C.
Suppose y(0) = Y ≠ 0 is given as an initial condition. Then in the first solution,
[tex]Y = e^{C - \cos(0)} \implies \ln|Y| = C - 1 \implies C = \ln|Y| + 1[/tex]
In the second solution,
[tex]Y = C e^{-\cos(0)} \implies Y = Ce^{-1} \implies C = eY[/tex]
But both solutions are the same, since
[tex]y = e^{\ln|Y| + 1 - \cos(x)} = e^{\ln|Y|} e^1 e^{-\cos(x)} = eY e^{-\cos(x)}[/tex]
have $100 in my bank account. I withdraw 10 dollars every week. If variable x represents number of weeks, write an algebraic expression that represents how much money would be in my bank account after x weeks.
Answer:
x+10=100
Step-by-step explanation:
$5400 at 3.6% compounded continuously for 5 years.
Answer:
A = $6,464.97
Step-by-step explanation:
Given the principal amount of $5,400, and an interest rate of 3.6% compounded continuously for t = 5 years:
Substitute the given values into the Continuous Compounding Formula:
[tex]A = Pe^{r*t}[/tex]
where:
P = principal = $5,400
e ≈ 2.7183 (irrational number)
r = interest rate = 3.6% or 0.036
t = time in years = 5
[tex]A = Pe^{r*t}[/tex]
[tex]A = 5400e^{(0.036*5)}[/tex]
[tex]A = 5400e^{0.18}[/tex]
A = $6,464.97
Therefore, the amount after compounding continuously for 5 years is $6,464.97.
not easy help me please
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
In the number line attached in my attachment,
The red line represents point :
[tex] \dfrac{10}{2} [/tex]The blue line represents point :
[tex] \dfrac{ - 9}{2} [/tex]I hope it helps ~
If p(x)=2x2-1, find p(-3)
help plsssssssrjeieiedidj
Answer:
C
Step-by-step explanation:
when x=8
and when x= -12
HELP AND DONT SEND LINKS IK WHAT UR TRYING TO DO
Answer:
-2 3/5, -9/4, 1.2, 7/4
Step-by-step explanation:
First, unmix the mixed numbers.
-9/4 = -2 1/4.
Which is greater?
1/4 vs. 3/5
Answer: 3/5 So...
-2 3/5 would be the least.
Then there would be -2 1/4
Then, it would be 1.2 because 1.2 is smaller than 7/4.
Therefore, this pattern would be the correct answer...
From Least to greatest=
-2 3/5, -9/4, 1.2, 7/4
-kiniwih426
Use either direct or synthetic substitution to evaluate the
following:
f(x)=2x3-2x2+2x-8 for f(1).
someone plzzzzzzzzzzzzzzzzzzzzzz
Answer:
3/5
Step-by-step explanation:
Product of (8.6×10^2)(3×10^2)in scientific notation
Answer:
in scientific notation = 2.58 × 10⁵
I hope I helped you^_^
Graph the function h (x) = -3x-1.
Round 19.432 to the nearest whole
The nearest whole number is 20.
Answer:
19
Step-by-step explanation:
if the number was 19.5 or later up to 20 then the answer would have been 20
but your number was 19.432 which is less then 19.5 so the your answer is 19.
Consider
x - 3, X < 0
3, x >0
The graph of the functions above is shown.
Answer:
It is true. This is the graph.
Find the slope of a line parallel to the line y = 7
Answer:
y = 7 is a horizontal line with slope 0
Any parallel line will also have slope 0
Step-by-step explanation:
ron goes to a shop to buy some notebooks. the shopkeepers informs him that 2 notebooks would cost $90. can you find the cost of 5 notebooks with the help of unitary method
Answer: $225
Step-by-step explanation:
Each Notebook costs 45 dollars, this can be found by taking the cost of 2 (90$) and dividing it by 2
Now just take the cost per notebook (45) and multiply it by the amount wanted (5) and your total should come out to $225
- Gage Millar, Algebra 2 Tutor
Answer:
$225 = 5 note books.
45 = 1 note book
Step-by-step explanation:
90/2 = $45 EACH
Unitary method means find 1 part first.
Therefore,
1 part = 45
45 x 5 = 225
$225 = 5 note books.
someone please answer!!
Answer: x=120 degrees
Step-by-step explanation: Since this triangle is equilateral, each of its angles equals 60 degrees. The line that x is on is equal to 180 degrees, so subtracting 60 from 180 will give you 120 degrees for x.
Answer:
x=180°-60°=120°, bc In an equilateral triangle, the angles are equal and equal to 60°
Step-by-step explanation:
What should be the first step to solve the equation?
2x + 9(x - 1) = 8(2x + 2) - 5
Combine like terms on each side of the equation.
Use the distributive property on each side of the equation.
Use the subtraction property of equality to subtract 5 from each side of the equation.
Use the addition property of equality to add 2x to each side of the equation.
7
5 1/10 x 1/6 pls helppp
Answer:
51/60
Step-by-step explanation:
First, I'll convert 5 1/10 into an improper fraction to make it easier to work with. I get 51/10. Then, I multiply the two fractions like so:
51/10 * 1/6 = 51/60
You multiply the numerators (the numbers on top) and the denominators (the numbers on the bottom) separately.
So the answer is 51/60.
Please assist with step by step
63 divided by 4
deon swam 4 kilometers against the current
Answer:
DEON is awesome at swimming
Step-by-step explanation:
good job deon
HOW IS THE ANSWER 98 PLS HELP ASAP
Answer:
The answer is 98, here's how:
Step-by-step explanation:
Lets solve the numerator of the fraction first:
-[5.8 - 3(3.2)] =
-[5.8 - 9.6] =
-[-3.8] = 3.8 (Watch out for the double negative)
Now lets solve for the denominator :
(-0.2)² =
(-0.2)(-0.2) = 0.04
Lets simplify the fraction:
[tex]\frac{3.8}{0.04} = 95\\[/tex]
Let's add the 3 to 95:
95 + 3 = 98
-Chetan K
Step-by-step explanation:
[tex] \frac{ -[5.8 - 3(3.2)] }{{( - 0.2)}^{2} } + 3[/tex]
[tex]\frac{ -[5.8 -9.6] }{0.04 } + 3[/tex]
[tex]\frac{ -( - 3.8)}{0.04} + 3[/tex]
[tex]\frac{3.8}{0.04} + 3[/tex]
[tex] = 95 + 3[/tex]
[tex] = 98[/tex]
A wholesale list of a watch is $50. A dealer bought a shipment of watches at a discount of 20% and sold the watches at 10% above the whole sale list price. What was the profit on each watch ?
Need help on this math problem
Answer:
the answer is 7 .......
ie .4^7
Answer:
4^7 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Solve y + 2∕7 < 1∕3.
Question 8 options:
A)
y > 13∕21
B)
y < 13∕21
C)
y < 1∕21
D)
y > –1∕21
Answer:
the answer is C y<1/21
Step-by-step explanation:
sorry if I did it wrong
Answer:
C) y< 1/21
Step-by-step explanation:
y+ 2/7 < 1/3
Subtract 2/7 from both sides.
y< 1/21
i don't know how to do math lol
Answer:
88 I think and if not that then 98 but I'm petty sure it's 88
Step-by-step explanation:
p/2 - 10 = -12 show work
Answer:
Step-by-step explanation:
What is the answer to this question?
Answer:
20 3/4
Step-by-step explanation:
21 4/8 or 21.5- 3/4 or .75= 20.75 or 20 3/4
Answer:
look at the photo I have sent
Leila Runs at 12 miles per hour. Find the Number of Miles she can travel if she runes for t hours
Answer:
y=12t
Step-by-step explanation:
What is the probability of getting a 6 on the first roll, and a number less than five on the second roll
Answer:
1/9
Step-by-step explanation:
Probability of getting 6 = 1/6
Probability of getting less than 5 = 4/6 = 2/3
1/6 * 2/3 = 1/9
show the solution 3x+7 ≤5x-9
1.1 Pull out like factors :
-2x + 2 = -2 • (x - 1)
2.1 Solve : -2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
2.2 Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
x = 1
Answer:
[tex]3x + 7 \leqslant 5x - 9 \\ 5x - 3x \leqslant 7 + 9 \\ 2x \leqslant 16 \\ x \leqslant \frac{16}{2} \\ \boxed{x \leqslant 8}[/tex]