Evaluate each function for the given input values. For f (x)=2/3x+ 3, find f (x) when x= 9 and when x=-3

Answers

Answer 1

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.


Related Questions

Use either direct or synthetic substitution to evaluate the
following:
f(x)=2x3-2x2+2x-8 for f(1).

Answers

The answer is -4
2(1)(3)-2(1)(2)+2(1)-8

someone please answer!!

Answers

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:

show the solution 3x+7 ≤5x-9

Answers

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]

Consider
x - 3, X < 0
3, x >0
The graph of the functions above is shown.

Answers

Answer:

It is true. This is the graph.

$5400 at 3.6% compounded continuously for 5 years.

Answers

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.

HELP AND DONT SEND LINKS IK WHAT UR TRYING TO DO

Answers

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

Leila Runs at 12 miles per hour. Find the Number of Miles she can travel if she runes for t hours

Answers

Answer:

y=12t

Step-by-step explanation:

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

Answers

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

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 ?

Answers

30 bucks was the profit for each one

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.

Answers

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]

What is the probability of getting a 6 on the first roll, and a number less than five on the second roll

Answers

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

What is the answer to this question?

Answers

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

deon swam 4 kilometers against the current

Answers

Answer:

DEON is awesome at swimming

Step-by-step explanation:

good job deon

help plsssssssrjeieiedidj

Answers

Answer:

C

Step-by-step explanation:

when x=8

and when x= -12

Round 19.432 to the nearest whole

Answers

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.

Find the slope of a line parallel to the line y = 7

Answers

Answer:

y = 7 is a horizontal line with slope 0

Any parallel line will also have slope 0

Step-by-step explanation:

not easy help me please

Answers

[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 ~

5 1/10 x 1/6 pls helppp

Answers

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.


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

Answers

2nd one. Distribution

p/2 - 10 = -12 show work

Answers

Answer:

Step-by-step explanation:

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.

Answers

Answer:

x+10=100

Step-by-step explanation:

(100-10)*x
(* multiplied by)

Graph the function h (x) = -3x-1.

Answers

just connect the dots
the -1 is where it passes through the y axis (up and down line)
the -3 is the slope, so every 1 space it goes over it goes 3 down

i don't know how to do math lol​

Answers

Answer:

88 I think and if not that then 98 but I'm petty sure it's 88

Step-by-step explanation:

If p(x)=2x2-1, find p(-3)

Answers

Given the function, p(x) = 2x^2 - 1, to evaluate p(-3), you could simply substitute -3 as the input of the function.

p(-3) = 2(-3)^2 - 1

p(-3) = 2(9) - 1

p(-3) = 18 - 1

p(-3) = 17

Therefore, p(-3) = 17.

Product of (8.6×10^2)(3×10^2)in scientific notation

Answers

Answer:

in scientific notation = 2.58 × 10⁵

I hope I helped you^_^

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​

Answers

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 plzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

3/5

Step-by-step explanation:

HOW IS THE ANSWER 98 PLS HELP ASAP

Answers

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]

Need help on this math problem

Answers

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

Please assist with step by step
63 divided by 4

Answers

15.75 your welcome lol lol lol
Sorry about my sloppy handwriting. Hope this helps!
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