18. You have no more than $60 to spend. You want a drink that costs $1.50 including tax, and you want to buy a
pair of pants, which will have 4% sales tax.

a.) What is the inequality that represents the amount of money you have to spend?

b.) Given that you can spend no more than $60, what is the most a pair of pants could cost?

The equation of the tangent line to the curve is:

[tex]y - 4 = 0.0024(x - 2)[/tex]

Which has a slope of 0.0024.

The tangent line of a curve [tex]f(x)[/tex] at a point [tex](x_0,y_0)[/tex] is given by:

[tex]y - y_0 = f^{\prime}(x_0)(x - x_0)[/tex]

In this problem, the curve is:

[tex]f(x) = e^{-4x}\sin{6x}[/tex]

The derivative is:

[tex]f^{\prime}(x) = -4e^{-4x}\sin{6x} + 6e^{-4x}\cos{6x}[/tex]

Point P(2,4), thus [tex]x_0 = 2, y_0 = 4[/tex].

The slope is:

[tex]f^{\prime}(2) = -4e^{-4(2)}\sin{6(2)} + 6e^{-4(2)}\cos{6(2)} = 0.0024[/tex]

Then, the equation of the line is:

[tex]y - y_0 = f^{\prime}(x_0)(x - x_0)[/tex]

[tex]y - 4 = 0.0024(x - 2)[/tex]

A similar problem is given at https://brainly.com/question/22426360

Answer:

[tex]8k + 10 + 9k + 1 = k(8 + 9) + (10 + 1) \\ = 17k + 11[/tex]

Step-by-step explanation:

9. a)

2•(-2) = 2 - 6

-4 = -4

-2 -2 = -2•2

-4 = -4

Yes, the ordered pair is the solution

9. b)

-1 = 3•(-2) +5

-1 = -6 +5

-1 = -1

3•(-2) +(-1) = -2

-6 -1 = -2

-7 ≠ -2

No, the ordered pair is not the solution

10. (-1, -1) and (3, -1)

11.

y = 6 +x

Now substitute it in the first equation:

3•(6 +x) = 5x

18 + 3x = 5x

18 = 2x

x = 18/2

x = 9

Now, substitute x = 9 in the second equation:

y -9 = 6

y = 6 +9

y = 15

Answer:

The number is 0.06, or 6 hundredths.

Step-by-step explanation:

If we convert 2 2/5 to a decimal, we get 2.4

Then, we can convert our percentage to a decimal by moving our digits two units down, giving us .025.

Now, we can multiply 2.4 and .025, which gives us 0.06

Answer:

solve each proportion

how do you do this?

Step-by-step explanation:

I presume you mean 9 'square'

9^2= 9 X 9 = 81

Cheerio ✌️

Step-by-step explanation:

The value of 9 Square is = 9 ×9= 81

Hope it's help you

Answer:

X=2

Step-by-step explanation:

x

=

−

2

Explanation:

Collect terms in x on the left side of the equation and numeric values on the right side.

add 3x to both sides.

5

x

+

3

x

+

12

=

−

3

x

+

3

x

−

4

⇒

8

x

+

12

=

−

4

subtract 12 from both sides.

8

x

+

12

−

12

=

−

4

−

12

⇒

8

x

=

−

16

To solve for x, divide both sides by 8

8

x

8

=

−

16

8

⇒

x

=

−

2

As a check

Substitute this value into the equation and if the left side is equal to the right side for this value then it is the solution.

left side  

=

(

5

×

−

2

)

+

12

=

−

10

+

12

=

2

right side  

=

−

(

3

×

−

2

)

−

4

=

=

6

−

4

=

2

⇒

x

=

−

2

is the solution

Answer:

b Beacuse you can't times 3 by twelve but you can multiple 3times7+1 to get 19

Answer:

Answer: The Expression (f + g)(4) is equal to f(4) + g(4).

Step-by-step explanation:

Answer:

its 20 games in total

the equation is 14×100÷70

Answer:

B

Step-by-step explanation:

Answer:

2376 square feet

Step-by-step explanation:

40 x 15 = 600

40 x 24 = 960

1/2 x (24 x 9) = 108

600 + 600 + 960 + 108 + 108 = 2376

Answer:

3(x+15) is the answer

Step-by-step explanation:

The equation x+15 repeats 3 times so you would have to create an equation to multiply x+15 3 times.

3x+15 is wrong because its only multiplying x by 3 and ignoring 15

x+45 is wrong because it is only multiplying 15 by 3 and ignoring x

x+15 is wrong because it is not multiplied by 3

3(x+15) is correct because it is the only answer that multiples 3 with both terms

Hope this helps

Answer:

Lets say that x is the number 5,

Step-by-step explanation:

5 divided by 15 = 0.33333333333

5 divided by 0.33333333333 = 15

5 + 15 + 5 + 15 + 5 + 15=60

(I know im all over the place with this, but this is just what i do)

60 - 15 = 45

15 + 45 = 60  

I know this is random but maybe you may figure it out or get a random hint??, 3(x+15) is 3x + 45

PRETTY SURE ITS 3(x+15) Please give me brainliest i sat here for like 24 mins trying to figure this out :(

Answer:

8.1

Step-by-step explanation:

9514 1404 393

Explanation:

Anything is categorized by how it matches with the definition of the category.

A composite number is a product of primes. A prime number is divisible only by itself and 1.

If a number has more than one prime factor (even if that is just multiple instances of the same prime factor), it goes into the composite number category. If its only prime factor is itself, it goes into the prime number category.

Answer:

[tex]2x + 7 = 3x - 7 \\ 3x - 2x = 7 + 7 = 14 \\ x = 14 \\ 2x + 7 + 12y + 1 = 180 \\ 12y + 36 = 180 \\ 12y = 180 - 36 = 144 \\ y = 144 \div 12 = 12[/tex]

Answer:

40i²-5i+45

Step-by-step explanation:

Answer:

1/64

Step-by-step explanation:

P(pick 3 consecutive spades with replacement of drawn cards) =

(13/52)(13/52)(13/52) =

(1/4)(1/4)(1/4) =

1/64

Answer:

No,the price is not within their budget.

Step-by-step explanation:

Because if you take 144 times 76 you get 10,944 which goes past their budget of 10,000

Answer:

They are over budget by $1,232.

Step-by-step explanation:

They want to replace 144 computer monitors each for $76.

$76 * 144 = $11,232

Their budget is $10,000 so they would be over budget by:

$11,232 - $10,000 = $1,232

Answer:

y = -5/2x + -4 (or) y = -5/2x - 4

Step-by-step explanation:

Your slope is -5/2, so all you have to do is take the point (-2, 1) and use the slope to find a second point of (0, -4) which is coincidentally the y-intercept. Then you just plug the data into the equation y = mx+b. You do that and you get the answer of y = -5/2x+-4

Answer:

range =[-5,5]

domain =[-2,3]

Answer:

10 days.

Step-by-step explanation:

3-2 = 1 foot of progress per day.

Answer:

8 days

Step-by-step explanation:

We get 8 days because the snail gets one foot higher every day. By the morning of the 8th day, the snail is 7 feet up and just needs to climb its daily 3 feet and it will be out of the well. You don't need 10 days because the snail only falls at night.

Saya yakin jawabannya adalah -26 karena ketika Anda melakukan perkalian terlebih dahulu, kemudian lakukan pecahan 33 1/2 dan setelah itu Anda akan menambahkan 2 dan pengurangan 5,5 yang semuanya akan sama dengan -26. semoga saya benar dan ini membantu. (:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's evaluate :

Answer:

[tex]46[/tex]

Step-by-step explanation:

Hey there,

Before solving the sum you have to know about the BODMAS theorem.

That means you have to solve this sum according to the BODMAS theory.

BODMAS theory is,

B - Brackets

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

Let us solve the sum now.

[tex]3 \times {2}^{3} + {5}^{2} - 18 \div 6 \\ 3 \times 8 + 25 - 18 \div 6 \\ 24 + 25 - 3 \\ 49 - 3 \\ = 46[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer:

x=1.25

Step-by-step explanation:

Answer:

($0.95 * 6) + (5x) = $11.95

The cost of one donut (x) = $1.25

Step-by-step explanation:

I hope this helps!

Answer:

6

Step-by-step explanation:

32 = 12 + 4 ( z - 1 )

32 - 12 = 4 ( z - 1 )

20 = 4 ( z - 1 )

20 / 4 = z - 1

5 = z - 1

z - 1 = 5

z = 5 + 1

z = 6

A) Store A

B) Store B

C) The cost is the same at both stores

C is the answer