3. Compare the function y = tanx and its reciprocal. Identify two similarities and two
differences between the functions. ​

65 miles per hour / 60 minutes per hour = 1.083 miles per minute.

126 miles/ 1.083 miles per minute = 116.03 minutes

Rounded to nearest whole number = 116 minutes.

Answer:

116 minutes

Step-by-step explanation:

speed = distance/time

speed * time = distance

time = distance/speed

time = 126 miles / 65 mph

time = 126/65 hours

time = 126/65 hours * (60 minutes)/(1 hour) = 116 minutes

Answer: 17

Step-by-step explanation:

Given: [tex](ax+b)(2x+3)=20x^2+44x+21[/tex], where a and b are two distinct integers.

First simplify left hand side as

[tex](ax+b)(2x+3)=ax\cdot \:2x+ax\cdot \:3+b\cdot \:2x+b\cdot \:3\\\\=2axx+3ax+2bx+3b\\\\=2ax^2+(3a+2b)x+3b[/tex]

Then comparing left side and right side

[tex]2ax^2+(3a+2b)x+3b=20x^2+44x+21[/tex]

we get 2a = 20 (coefficient of [tex]x^2[/tex]) , and 3b = 21  (constant term)

⇒ a= 10 and b= 7

Then, a+b= 10+7=17

Hence, the value of sum a+b is 17.

Answer:

80+96

= 176 total ounces of jam

176 ÷ 8

22 total jars

Answer:

7 cm

Step-by-step explanation:

We are told that the pyramid has a square base of an area of 49 cm².

Therefore, the side length of the base of the pyramid is still the same as the side length of a square having an area of 49 cm².

Area of a square = s², where s is the side length of the square.

The side length of the base can be gotten using the following equation,

[tex] s^2 = 49 [/tex]

Solve for s by looking for the share root of both sides.

[tex] \sqrt{s^2} = \sqrt{49} [/tex]

[tex] s = 7 [/tex]

The side length of the base = 7 cm

Answer:

[tex]\displaystyle \lim_{\Delta x \to 0} \frac{(x+\Delta x)^2-2(x+\Delta x)+1-(x^2-2x+1)}{\Delta x}=2x-2[/tex]

Step-by-step explanation:

We want to find the limit:

[tex]\displaystyle \lim_{\Delta x \to 0} \frac{(x+\Delta x)^2-2(x+\Delta x)+1-(x^2-2x+1)}{\Delta x}[/tex]

We can expand the numerator:

[tex]=\displaystyle \lim_{\Delta x \to 0} \frac{(x^2+2x\Delta x+\Delta x^2)+(-2x-2\Delta x)+1+(-x^2+2x-1)}{\Delta x}[/tex]

Simplify. Combine like terms:

[tex]\displaystyle \lim_{\Delta x\to 0} \frac{(x^2-x^2)+(-2x+2x)+(1-1)+(2x\Delta x+\Delta x^2-2\Delta x)}{y}[/tex]

The first three terms will cancel:

[tex]\displaystyle \lim_{\Delta x\to 0} \frac{2x\Delta x+\Delta x^2-2\Delta x}{\Delta x}[/tex]

Factor:

[tex]\displaystyle \lim_{\Delta x \to 0} \frac{\Delta x(2x+\Delta x-2)}{\Delta x}[/tex]

Cancel:

[tex]\displaystyle \lim_{\Delta x\to 0}2x+\Delta x-2[/tex]

Now, we can use direct substitution:

[tex]\displaystyle \begin{aligned} &\Rightarrow 2x+(0)-2\\ &=2x-2\end{aligned}[/tex]

Therefore:

[tex]\displaystyle \lim_{\Delta x \to 0} \frac{(x+\Delta x)^2-2(x+\Delta x)+1-(x^2-2x+1)}{\Delta x}=2x-2[/tex]

Answer:

2x-2

Step-by-step explanation:

let d = delta x

lim as d goes to 0  ( ( x+d)^2 - 2(x+d) +1 - ( x^2 -2x+1))/d

Expand the term in side the parentheses

( ( x+d)^2 - 2(x+d) +1 - ( x^2 -2x+1))

x^2 +2dx +d^2 -2x-2d+1 - x^2 +2x -1

Combine like terms

2dx +d^2 -2d

Replace

lim as d goes to 0  ( 2dx +d^2 -2d)/d

Factor out a d

lim as d goes to 0  d( 2x +d -2)/d

Cancel the d in the numerator and denominator

lim as d goes to 0  ( 2x +d -2)

Take the limit of each term as d goes to zero

2x +0-2

2x-2

Answer:

the answer is -4

Step-by-step explanation:

-16-4g=6g-6g

    +4        +4

you add the -4g to both sides by changeing it to positive  

then you have -16=6g-2g

then you go to the right side of the equation and solve, 6-2 is 4 then you have

-16=4g then you divide on both sides

-16 divided by 4 is

-4

Answer:

[tex]\Huge \boxed{g=-4}[/tex]

Step-by-step explanation:

[tex]-16-4g=6g-6g[/tex]

Combining like terms.

[tex]-16-4g=0[/tex]

Adding 4g to both sides.

[tex]-16=4g[/tex]

Dividing both sides by 4.

[tex]-4=g[/tex]

Given that :-

To Find :-

Solution :-

☆ When a negative digit is multiplied with negative digit then the result comes as positive digit .

→ x × y = (-12)(-3)

→ x.y = 36

So the answer is 36.

Answer:

36

Step-by-step explanation:

To find xy, multiply x and y

(-12)(-3) = 36

xy = 36

Answer:

-7°F

Step-by-step explanation:

Answer: -7

Step-by-step explanation: if -4 was it's original number and the number has dropped means subtraction and by that means subtracting 3 to -4.

Answer:

2 cups of sugar:3 cups of flour

Step-by-step explanation:

Because there are 2 cups of sugar and 3 cups of flour used, you can represent this with a ratio - 2 cups sugar:3 cups flour.

Because 2:3 cannot be reduced (it is in its simplest form), this is the final answer.

Answer:

5 units

Step-by-step explanation:

If both points are translated the same amount, then the length of the line will stay the same.

Answer:

n =2

Step-by-step explanation:

2=-9n+22-n

2 = -10n +22

-20 = -10n

n = 2

Step-by-step explanation:

Grouping like terms

9n+n=22-2

10n=20

Dividing through by 10

n=2

Answer:

Find the degree, leading term, and leading coefficient.

Polynomial Degree: 1

Leading Term: 20 m

Leading Coefficient:  20

Step-by-step explanation:

Answer: $ 532

Step-by-step explanation:

Given: Ramona works in a clothing store where she earns a base salary of $140 per day plus 14% of her daily sales.

She sold $600 in clothing on Saturday and $1200 in clothing on Sunday.

To find : Earning in two days.

Total sales she did in 2 days = $600+$1200 = $1800

Then, her total earning for 2 days = 2 x( Base salary)+ 14% of (Total sales)

= 2 x ($140) + (0.14) ($1800)

= $(280+252)

= $ 532

Hence, she earned  $ 532 over the 2 days.

Answer:

$532

Step-by-step explanation:

Ramona worked for two days. So she would have already earned $280.

And she also earns 14% of $600 from the first day, and 14% of 1200.

14/100 * 600/1 = 8400/100 = $84

14/100 * 1200/1 = 16800/100 = $168

$280 + $84 + 168 = $532

Altogether, Ramona earned $532 in the total of two days! Wow that's more money then I get per month lol.

Hope this helps :D

- Anna

Answer:

Step-by-step explanation:

find the height, width, and length.

multiply them

V=lwh

or

V=Bh

B=lw

Answer:

Step-by-step explanation:

How do you find a function for this story?

On your first day of work, you get $1. On your second day of work, you get $4. On your third day of work, you get $9. On your fourth day of work, you get $16. It continues this way for 30 days and then once you’ve completed the 30 days you receive a completion bonus of $500000.

No. of days Amount earned

1 1

2 4

3 9

4 16

. .

. .

. .

30 500,000

To find a function to the story

Let

No. of days = d

Amount earned = A

When,

d=1, A=1

d=2, A=4

d=3, A=9

d=4, A=16

It can be seen that amount earned is a square of the number of days

Therefore,

The function for the story is:

A=d^2

When d=30

A=30^2

=30*30

=900

Adding the total earnings for 30 days=$500,000

That is

1+4+9+16+25+36+49+64+81+100+121+144+169+196+225+256+289+324+361+400+441+484+529+576+625+676+729+784+841+900=500000

Answer:

A. The left side continues up, and the right side continues up.

Step-by-step explanation:

f(x) = 6x^4 + 4x^3 - 5x^2 -2x + 1

The highest power will describe the end behavior

f(x) = 6x^4

Let x = -∞

f(-∞) = 6 * (-∞)^4 = 6* ∞ = ∞

As x goes to -∞  f(x) goes to ∞

Let x = ∞

f(∞) = 6 * (∞)^4 = 6* ∞ = ∞

As x goes to ∞  f(x) goes to ∞

Work Shown:

Replace every 'a' with 2, and replace every b with 3

a^2+b = 2^2 + 3 = 4 + 3 = 7

Answer:

Solution : 29

Step-by-step explanation:

As this is an equilateral triangle all sides present are congruent.

3x + 8 = 5x - 6 = 2x + 15

3x + 8 = 5x - 6

- 2x = - 14,

x = 7

And hence one side length will be say 3(7) + 8 = 21 + 8 = 29 units. We can double check this solution by substituting x for other side lengths. Remember that all the side length have an equal measure.

5(7) - 6 = 35 - 6 = 29 ✓

2(7) + 15 = 14 + 15 = 29 ✓

Answer:

40% and 60%

╰(*°▽°*)╯

Step-by-step explanation:

60% of 17 is 10.2 making 40% and 60% the closest choice to 9

So, the answer would be 40% and 60%

╰(*°▽°*)╯

Answer: p lies between 50% and 55%

Step-by-step explanation: if 9 is p percent of 17, then p is a number between what numbers

9 is p percent of 17

Lets make the equation for the given statement

9 = p percent times 17

p percent is p /100

Lets solve for p

multiply both sides by 100

Divide both sides by 17

p= 52.9

Hence we say that p lies between 50% and 55%

Answer:

5x-18

Step-by-step explanation:

Answer:

3x+2y=4

Step-by-step explanation:

bro it says wait till 20 sec to send this brruuhhhhh

43.9 + x = 49.65

Subtract 43.9 from both sides:

49.65 - 43.9 = 5.75

The missing number is 5

Answer:

Step-by-step explanation:

3<x<7

the set will contain all elements greater than 3 and less than 7

Roster form ={4,5,6}

b) Roster form :{-6,-5,-4,-3......}

set builder form is all numbers greater than -6

I hope it is right

Answer:

a < -3

Step-by-step explanation:

-2a > 6

Divide each side by -2, remembering to flip the inequality

-2a/-2 < 6/-2

a < -3

Step-by-step explanation:

[tex]-2a > 6 \\ a > \frac{6}{ - 2} \\ a > - 3[/tex]

Hope this helps

Answer:

P' (- 7, - 5 )

Step-by-step explanation:

A translation of 3 units to the left means subtractin 3 from the x- coordinate with no change to the y- coordinate, thus

P(- 3, 5 ) → (- 3 - 4, 5 ) → (- 7, 5 )

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(- 7, 5 ) → P'(- 7, - 5 )

Hey there!

Functions are basically like machines you put a number into and they give you a new one as an output. This f represents this machine. f(x) represents whatever the output is because it is the x after it has gone through the function machine.

We want to figure out what x is when f(x)=12. Well, we can simply replace f(x) with 12 in the first equation and solve for x!

12=-16x+8

We flip the equation so x is on the left side.

-16x+8=12

We subtract 8 from both sides.

-16x=4

We divide both sides by -16.

x=-1/4

Have a wonderful day! :D

Answer:

f(x) = -16x + 8

F(x) = 12

=> f(12) = -16x + 8

=> 12-8 = -16x + 8 - 8

=> 4 = 16x

=> 4/16 = 16x/16

=> 1/4 = x

So, the answer is 1/4.

You can just keep 0 as the whole number to answer this question.

Answer:

Based on the information in the problem statement, the function must pass through points (400 , 0), (800 , 1), and (1,200 , 1.585). Notice that the graph of function g(x) passes through these points.

Next, check the graph of f(x). Plot the function using the given equation to see which points it passes through.

The equation indeed starts at (400 , 0), but it doesn’t pass through the other two required points. So, the graph of g(x) fits the situation, but the equation for f(x)does not.

Answer:

Read Exp:

Step-by-step explanation:

Exact Form:  

- 99/20

Decimal Form:  

- 4.95

Mixed Number Form:

- 4 19/20

Answer:

Step-by-step explanation:

[tex]-2\frac{3}{4}[/tex]  ÷  [tex]\frac{5}{-9}[/tex]  = [tex]\frac{-11}{4}[/tex] ÷ [tex]\frac{5}{-9}[/tex]

                 [tex]=\frac{-11}{4}*\frac{-9}{5}\\\\\\=\frac{99}{20}\\\\\\= 4\frac{19}{20}[/tex]