This graph shows linear
y = f(x) and y = g(x).

Find the solution to the equation f(x) - g(x) = 0

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Work Shown:

Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)

s^2 = x^2+y^2

s^2 = 15^2+20^2

s^2 = 225+400

s^2 = 625

s = sqrt(625)

s = 25

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Now we can apply the derivative to both sides to get the following.  Don't forget to use the chain rule.

s^2 = x^2 + y^2

d/dt[s^2] = d/dt[x^2 + y^2]

d/dt[s^2] = d/dt[x^2] + d/dt[y^2]

2s*ds/dt = 2x*dx/dt + 2y*dy/dt

2(25)*ds/dt = 2(15)*5 + 2(20)*(10)

50*ds/dt = 150 + 400

50*ds/dt = 550

ds/dt = 550/50

ds/dt = 11

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Side note: The information t = 40 is never used. It's just extra info.

Answer:

35

Step-by-step explanation:

2(-5)^2+3(-5)

=2(25)+(-15)

=50-15

=35

PLS GIVE BRAINLIEST

Answer:

5x + 1

Step-by-step explanation:

f(x) = 3x + 2

g(x) = - 2x + 1

f(x) - g(x) = 3x + 2 - ( - 2x + 1 ) = 3x + 2 + 2x - 1 = 5x + 1

Answer:0.65

Step-by-step explanation:

Firstly, we convert the fractions into decimals:

6/10=0.6

1/5=0.2

1/4=0.25

We then get :  0.6 - 0.2 + 0.25

0.6-0.2=0.4

0.4+0.25=0.65

Answer:

x+6

Step-by-step explanation:

5x-3(x-2)-x

5x-3x+6-x

x+6

Answer:

1. You account for every dollar you make to where your budget shows you have $0

2. She will have $125 leftover to budget out as she sees fit

3. If she does not account for it she may over spend or think she has extra money

4. I would put it in savings

5. No this is not what it means. This means that your paycheck will be able to cover your expenses.

6. You should put extra money in savings. You never know what will occur and savings can always help.

Step-by-step explanation:

Blanca has a savings of $125, she needs to allocate this amount to fulfill the zero-based budget conditions, as a saving she can allocate the remaining amount.

It is defined as the budgeting method that allows you to fix an amount for everything such as utility expenses, savings, and miscellaneous expenses In other words income minus all expenses plus savings should be equal to zero.

1) The core characteristic of the zero-based budget as follows:

2) Blanca has take-home pay every month = $800

Total expenses = $675

Savings = Income - Total expenses

= $800 - $675 ⇒ $125

We can assume Blanca has savings of $125 at the end of the month.

3) The extra amount = $800 - $675 ⇒ $125

According to a zero-based budget income minus all expenses plus savings should be equal to zero.

Therefore Blanca needs to allocate this amount($125) to some budget category.

4) Blanca has a total of $675 expenses she will have $125 as saving at the end of the month.

She should allocate this amount to savings because it will increase her wealth.

5) Zero-based budget does not mean that at the end of every month Blanca has zero dollars in her bank account because as per the definition zero-based budgeting means income minus expenses should be equal to zero. Blanca has savings and other emergencies funds in her bank account.

Thus, Blanca has a savings of $125, she needs to allocate this amount to fulfill the zero-based budget conditions, as a saving she can allocate the remaining amount.

Learn more about the zero-based budget here:

https://brainly.com/question/15994567

Answer:

All real numbers

Step-by-step explanation:

36/something1 = 12/something2

36/12=3

to get from something1 to something2 you divide by 3

36/3x=12/x

Cross multiply

36x=12*3x

36x=36x

x=x

Since each side of the equation is equal, the solution is all real numbers

I hope this helps :)

Answer:

Terminating goes to 3

Repeating goes to 4

Rational goes to 1

Irrational goes to  2

Answer:

1. Rational Number

2. Irrational Number

3. Terminating Decimal

4. Repeating Decimal

Step-by-step explanation:

A Rational Number can be written as a ratio of two integers. For example, as a simple fraction. That leaves us for the answer to the second one as irrational. To terminate means to end, so a terminating decimal is a decimal that does not go on forever. Whereas, a repeating decimal continues repeating forever (or indefinitely).  

I would like to apologize in advance if any of these were incorrect.

Answer:

$13.4 is the answer

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Answer:

36:81

Step-by-step explanation:

4 to 36 is times 9, so you have to multiply 9 by 9 to complete the ratio which is how you get 81.

Answer:

(x+9)-3

Step-by-step explanation:

Answer:

y = 3

m = 0

b = (0, 3)

Step-by-step explanation:

To put it in slope intercept form, divide each side by 2:

2y = 6

y = 3

So, y = 3 is the equation in slope intercept form.

The slope is 0, since there is no x value in the equation.

The y-intercept is (0, 3) since the equation is just y = 3.

Answer:

12 m/s

Step-by-step explanation:

Speed= disntance/time

30/2.5= 12m/s

Answer:

y = 3x - 9

Step-by-step explanation:

To write a line with a slope of 3, set the coefficient of x to be 3:

y = 3x

But notice, if we evaluate x when it is equal to 2, we get 2*3=6, but we want it to be -3. Therefore, we just subtract 9 from the equation:

y = 3x - 9

========================================================

Explanation:

Any rational number is of the form p/q, where p and q are integers and q is nonzero. So basically it's any fraction you can think of.

If a decimal terminates (ie stops) then it is a rational number.

For instance, 0.9 = 9/10 is rational

If a decimal repeats in some way, then it is rational

Eg: 0.0833333.... = 1/12

The dots after the 3 indicate the 3's go on forever.

So far, the facts mentioned allow us to rule out choices A and C. Choice B can be ruled out as well because any integer is always rational. We can easily prove it as such by writing the integer x as x/1.

A more concrete example could be writing the integer 7 as 7/1. So this shows 7 is rational and any integer is rational. Simply stick the integer over 1.

The only thing left at this point is choice D. Any non-repeating non-terminating decimal will be irrational. An example would be pi = 3.14159... which goes on forever without a pattern that repeats. Effectively the decimal digits of pi are more or less random. An irrational number is one that is not rational, and therefore cannot be written as a ratio of two integers.

Answer:

c. although the chances of some big gains increase, the chances for some big losses also increase.

Step-by-step explanation:

In the Martin Products, there is a probability that the investment could either succeed or fail. The standard deviation of the outcome carried out to determine the risks involved in investing in his products helps in trying to offer the investors the clearer picture of the risks involved.

Answer:

d. all the reasons above

Answer:

Minimum of 7 1/2 hours ( 7 hours, and 30 minutes )

Step-by-step explanation:

Rate = money / time

time = money / rate

_____________

1 month = 4 weeks

1 week = 7 days

1 day = 24 hours

1 hour = 60 minutes

_____________

$15 / 1 hour = 1 day / 24 hours = 1 week / 7 days = 1 month / 4 weeks = $450 / 1 month.

$15 / 1 hour / 1 week = $450 / 1 month

$15 / 1 hour / 1 week = $450 / 4 weeks

$15 / 1 hour / 1 week = $112.5 / 1 week

$15 / 1 hour = $112.5

112.5 / 15 = 7.5 hours.

Answer: -1 1/8 -3/4 -1/2 3/8

Answer:

Value of x=4 and y=-13/3

Step-by-step explanation:

We need to solve the systems of equations

[tex]5x+3y=7 \ and \ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}[/tex]

Solving using substitution method:

Let:

[tex]5x+3y=7---eq(1) \\ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}---eq(2)[/tex]

Find value of x from eq(1) and put in eq(2)

[tex]5x+3y=7\\5x=7-3y\\x=\frac{7-3y}{5}[/tex]

Put value of x in eq(2)

[tex]\frac{3}{2}(\frac{7-3y}{5}) -\frac{3}{4}y =\frac{37}{4}\\\frac{21-9y}{10} -\frac{3}{4}y =\frac{37}{4}\\Taking \ LCM\\\frac{21*2-9y*2-3y*5}{20} =\frac{37}{4}\\\frac{42-18y-15y}{20} =\frac{37}{4}\\42-33y=\frac{37}{4}*20\\42-33y=185\\-33y=185-42\\-33y=143\\y=\frac{143}{-33}\\y=-\frac{13}{3}[/tex]

Now, finding value of x by putting value of y in eq(1)

[tex]x=\frac{7-3y}{5}\\x= \frac{7-3(-\frac{13}{3}) }{5}\\x=\frac{7+13}{5}\\x=\frac{20}{5}\\x=4[/tex]

So, Value of x=4 and y=-13/3

Answer:

Your answer is 468

Step-by-step explanation:

390% of 120 = 468

Answer:

the green one for sure..

Step-by-step explanation:

Answer:

What sentences?

Step-by-step explanation:

Can you please add a picture, a sentence(s), an article, or any source so we can actually answer them for you??????

Answer:

Investing mistake :

Silvia successfully avoids investing

in unfamiliar foreign companies.

Ryan invests only in the stock of

companies he has complete faith in.

Martha decides to hold her

investments despite their poor

market performance over

three years.

Good investment decision:

Sanjay invests in companies in

a variety of industries.

Ricardo starts investing in index

funds with the aim of building

his wealth steadily over time.

Sabina invests small amounts in

stocks, bonds, and real estate.

Step-by-step explanation:

Got it right in edmuntum :)

Answer:

No because the coefficiant is different for each pair of mothers and daughters

Step-by-step explanation:

Answer:  

Step-by-step explanation:  To find the equation of the perpendicular line, take the reciprocal of the slope with the opposite sign.

For example, the reciprocal of 4/3 is 3/4 and if it's negative, the opposite is positive.

The reciprocal of 2 is 1/2. and if it's positive, the opposite is negative.

The reciprocal of any number or fraction is whatever you multiply it by to get 1.  4 times 1/4 is  1  5/4 times 4/5 is 1.  What about 1 ?  1 times 1 is 1. So one is its own reciprocal!

I hope this helps. (we're not supposed to give answers to t e s t s.)

Complete Question:

The temperature doubled.  Evaluate when t = 32 degrees.

The value of the expression when t = 32 degrees is  degrees

Answer:

64 degrees

Step-by-step explanation:

Given

[tex]t = 32[/tex]

Required

Determine the value of t when it doubles

To do this, we simply multiply the current temperature by 2.

So:

[tex]t = 32[/tex] becomes

[tex]t = 32 * 2[/tex]

[tex]t = 64[/tex]

Hence, the temperature when it doubles is 64 degrees