(3x²+5x)-(2x²-3x) simplify​

Answer:

y-4=3/2(x+4)

Step-by-step explanation:

If you plug the numbers into the equation (y-y1=m(x-x1)), you get y-4=3/2(x+4).

HOPE THIS HELPS

Answer:

(B)1 x 80,2x 40,4 x 20,5 x 16,8 x 10

Explanation:

The number of African Baskets = 80

The list of all possible arrangements so that all the rows have the same number will be a list that contains all the positive product of factors of 80.

Factors of 80 are: 1,2,4,5,8, 10, 16,20,40,80

The list is, therefore:

The correct choice is B.

Answer:

1122

Step-by-step explanation:

Answer:1122

Step-by-step explanation: Adding 848, to 274= 1122.

Answer:

R = (0,-8)

Step-by-step explanation:

Let's look at the difference between S, and the midpoint M.

S(6,0) - M(3,-4) = N(3,4) This will help us find R(x,y)

Next, take M, and subtract N from it.

M(3,-4) - N(3,4) = (0,-8). This is the value of R.

Answer:The width was 20 cm and was brought down to 5 cm, you can see that the pictures width was shrunk down 4 times because 20 divide by 4 is 5 so to find the length you would divide 30 by 4 and get 7.5 cm as your answer.

Step-by-step explanation: so rember what ever grade you are in do first 20 x 30 = 600 and 20 + 30 = 50

Answer: mean; time to complete round; quantitative

Step-by-step explanation:

Based on the information given in the question, the time to complete the round will be the variable of interest.

The confidence interval for a population (mean) should be constructed because the variable of interest is (time to complete round) which is a (quantitative) variable.

Answer:

a) To solve the differential equation y''-2y'-3y= e^4x, we first find the characteristic equation:

r^2 - 2r - 3 = 0

Factoring, we get:

(r - 3)(r + 1) = 0

So the roots are r = 3 and r = -1.

The general solution to the homogeneous equation y'' - 2y' - 3y = 0 is:

y_h = c1e^3x + c2e^(-x)

To find the particular solution, we use the method of undetermined coefficients. Since e^4x is a solution to the homogeneous equation, we try a particular solution of the form:

y_p = Ae^4x

Taking the first and second derivatives of y_p, we get:

y_p' = 4Ae^4x

y_p'' = 16Ae^4x

Substituting these into the original differential equation, we get:

16Ae^4x - 8Ae^4x - 3Ae^4x = e^4x

Simplifying, we get:

5Ae^4x = e^4x

So:

A = 1/5

Therefore, the particular solution is:

y_p = (1/5)*e^4x

The general solution to the non-homogeneous equation is:

y = y_h + y_p

y = c1e^3x + c2e^(-x) + (1/5)*e^4x

b) To solve the differential equation y'' + y' - 2y = 3xe^x, we first find the characteristic equation:

r^2 + r - 2 = 0

Factoring, we get:

(r + 2)(r - 1) = 0

So the roots are r = -2 and r = 1.

The general solution to the homogeneous equation y'' + y' - 2y = 0 is:

y_h = c1e^(-2x) + c2e^x

To find the particular solution, we use the method of undetermined coefficients. Since 3xe^x is a solution to the homogeneous equation, we try a particular solution of the form:

y_p = (Ax + B)e^x

Taking the first and second derivatives of y_p, we get:

y_p' = Ae^x + (Ax + B)e^x

y_p'' = 2Ae^x + (Ax + B)e^x

Substituting these into the original differential equation, we get:

2Ae^x + (Ax + B)e^x + Ae^x + (Ax + B)e^x - 2(Ax + B)e^x = 3xe^x

Simplifying, we get:

3Ae^x = 3xe^x

So:

A = 1

Therefore, the particular solution is:

y_p = (x + B)e^x

Taking the derivative of y_p, we get:

y_p' = (x + 2 + B)e^x

Substituting back into the original differential equation, we get:

(x + 2 + B)e^x + (x + B)e^x - 2(x + B)e^x = 3xe^x

Simplifying, we get:

-xe^x - Be^x = 0

So:

B = -x

Therefore, the particular solution is:

y_p = xe^x

The general solution to the non-homogeneous equation is:

y = y_h + y_p

y = c1e^(-2x) + c2e^x + xe^x

c) To solve the differential equation y" - 9y' + 20y = x^2*e^4x, we first find the characteristic equation:

r^2 - 9r + 20 = 0

Factoring, we get:

(r - 5)(r - 4) = 0

So the roots are r = 5 and r = 4.

The general solution to the homogeneous equation y" - 9y' + 20y = 0 is:

y_h = c1e^4x + c2e^5x

To find the particular solution, we use the method of undetermined coefficients. Since x^2*e^4x is a solution to the homogeneous equation, we try a particular solution of the form:

y_p = (Ax^2 + Bx + C)e^4x

Taking the first and second derivatives of y_p, we get:

y_p' = (2Ax + B)e^4x + 4Axe^4x

y_p'' = 2Ae^4x +

Answer:

Luke saw 5 worms

Step-by-step explanation:

Evan and Luke saw 8 worms on the path.

Evan saw 3 worms while Luke saw 2 Worms more than Evan.

So luke is +2 of Evan

Luke= 3+2

Luke = 5

Luke saw a total of 5 worms while Evan saw a total of 3 worms adding up to a total of 8 worms

Answer:

9 squares

Step-by-step explanation:

Anne bought a piece of ribbon = 7 over 9 m long = 63 m²

she used = 3 over 18 m = 54 m²

left = 9 m²

maximum number of squares she could form of 1 m = 9

Answer:

y - 10 = 4(x - 6)

Step-by-step explanation:

Point slope form is

y - y1 = m(x - x1) where m = slope of the line and (x1, y1) is a point on the line.

Here the slope = (10-2)/(6-4)

= 8/2

= 4.

So the equation is

y - 10 = 4(x - 6)    using the point (6, 10)

Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again. Then the correct option is A.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Yana is in the school computer lab writing a paper for history class. The graph represents the number of words Yana has written after a number of minutes.

The graph is given below.

From the graph, Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again.

Then the correct option is A.

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Answer:

The balance of the account is $64,190.

Step-by-step explanation:

The amount of money after t years of continous compounding is given by the following equation:

\(P(t) = P(0)e^{rt}\)

In which P(0) is the initial deposit and r is the interest rate, as a decimal.

$60,000 deposited for 6 years at 1.125% interest compounded continuously.

This means that \(P = 60000, r = 0.01125, t = 6\)

So

\(P(6) = 60000e^{0.01125*6} = 64190\)

The balance of the account is $64,190.

Answer:

500 and 4.3

Step-by-step explanation:

A decigram is one-tenth of a gram and a kilometer is one-thousandth of a meter. Using this information, we must multiply the given amounts by the values.

5000 × 0.1 = 500

4300 × 0.001 = 4.3

Thus, the answers [in order] are 500 and 4.3

Hope this helps and feel free to ask any questions.

Answer:

you would be correct in the second option, unknown

Step-by-step explanation:

anonymous is another word for unknown, i learned this in gamer talk ;P

Answer: Unknown.

Step-by-step explanation: When any author is anonymous whether they write myths, legends, short stories, etc, it means that their name is hidden or unknown.  If you looked it up online, it would tell you this, "(of a person) not identified by name; of unknown name."  Therefore, anonymous means an author not identified who is unknown.

Let me know if this is right! :)

Answer:

(3a+2b-4c)[4z+1]

Step-by-step explanation:

4z(3a+2b-4c)+(3a+2b-4c)

Factor out (3a+2b-4c)

(3a+2b-4c)[4z+1]

Answer:

3a+2b-4c)[4z+1]

Step-by-step explanation:

4z(3a+2b-4c)+(3a+2b-4c)

Factor out (3a+2b-4c)

(3a+2b-4c)[4z+1]

Answer:

true

Step-by-step explanation:

Answer:

If two vectors are perpendicular, then their dot-product is equal to zero. The cross-product of two vectors is defined to be A×B = (a2_b3 - a3_b2, a3_b1 - a1_b3, a1_b2 - a2*b1). The cross product of two non-parallel vectors is a vector that is perpendicular to both of them.

Step-by-step explanation:

Answer:

5 products are selected every hour.

Step-by-step explanation:

Giving the following information:

You work on a line where a finished product is selected every 12 minutes for inspection

First, we structure the selection formula:

y= x/12

y= number of products selected

x= number of minutes

For 60 minutes:

y= 60/12

y= 5 products

Answer

It's 100 or as the test says its B.

Answer:

Step-by-step explanation:

y=mx+b

m=(y2-y1)/((x2-x1)

m=(12-7.5)/(120-30)

m=0.05

y=0.05x+b, using point (30,7.5)

7.5=0.05(30)+b

7.5=1.5+b

b=6

y=0.05x+6

The left box has 9 letters, 1 being Q

The right box has 9 letters, 2 being F.

So, the probability of picking Q is:

And the probability of picking F is:

The probability of picking Q and F is:

The equation of the line in standard form is y = 2x - 8.

Calculate the slope of the line using the point-slope form of a line given by y - y1 = m(x - x1), where m is the slope of the line, (x1, y1) is any point on the line.

Substituting the given x-intercept (4, 0) and y-intercept (0, 8) in the point-slope form of a line, we get:

y - 8 = m(x - 4)

Solve the above equation for m to calculate the slope of the line.

y - 8 = m(x - 4)

m = (y - 8)/(x - 4)

Substituting the coordinates of the y-intercept (0, 8) in the above equation, we get:

m = (0 - 8)/(4 - 4)

m = -8/0

Since the denominator is 0, the slope of the line is undefined.

The line's equation is provided by y = mx + b, where m is the slope and b is the y-intercept. Write this equation in standard form.

As the line's slope is ambiguous, its standard form equation is y = -8 + b, where b is the y-intercept.

Substituting the coordinates of the y-intercept (0, 8) in the equation, we get:

y = -8 + 8

y = 0

Thus, the line's equation is therefore y = 2x – 8 in standard form.

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The amount in each letter for checking account is Bills - A = 0, Coin B = 0, Checks C = $800, Total D = $1600, Less cash E = $800, and Net deposit F = $800.

A checking account is a type of bank account that enables regular deposits and withdrawals of money by account holders. Checking accounts frequently come with amenities like check writing, debit cards, and internet banking, making them practical for daily usage. Checking accounts typically do not pay interest on the account balance, in contrast to savings accounts. Yet, many checking accounts don't have to maintain a minimum balance and permit unrestricted withdrawals, which makes them perfect for daily transactions.

Given that, you earn $1600, and put $800 in a checking's account thus,

Bills - A = 0

Coin B = 0

Checks C = $800

Total D = $1600

Less cash E = $800

Net deposit F = D - $800 = $1600 - $800 = $800.

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The average response time for the ambulance company is 13 minutes, with 95% of response times falling between 10 and 16 minutes.

The response times for a specific ambulance company follow a normal distribution with a mean of 13 minutes. This means that the majority of response times will cluster around the average of 13 minutes.

Furthermore, we know that 95% of the response times fall within the range of 10 to 16 minutes. This suggests that the response times are relatively consistent, with only a small percentage of outliers falling outside this range.

In summary, the average response time for this ambulance company is 13 minutes, and 95% of their response times fall between 10 and 16 minutes.

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The value of function f (4) is,

⇒ f (4) = 19

We have to given that;

The function is,

⇒ f (x) = x² + 3

Now, WE can find the value of f (4) by substitute x = 4 in above function as,

⇒ f (x) = x² + 3

Plug x = 4;

⇒ f (4) = 4² + 3

⇒ f (4) = 16 + 3

⇒ f (4) = 19

Thus, The value of function f (4) is,

⇒ f (4) = 19

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a) The simplification of 1250 - (-300) + (-120) results in 1,430.

b) The simplification of 81 - 19 + 218 - 412 results in -132.

c) The simplification of -4235 + 176 - (-3285) results in -774.

d) -20 is less than 20 by 40.

e) 61 must be added to -16 to give 45.

f) -55 must be added to 25 to give -30.

g) The difference between -12 and 12 is -24.

h) Calculating 114 x 15 (105) (15)​ results in -2,693,250 using multiplication.

The mathematical operations include addition, subtraction, division, and multiplication.

To simplify mathematical expressions, we reduce the complexities by adding like terms, and operands, and using approximation.

Simplification means reducing the expression in a simpler form using various mathematical operations.

a) 1250 - (-300) + (-120)

= 1250 + 300 - 120

= 1,430

b) 81 - 19 + 218 - 412

= 81 + 218 - (19 + 412)

= 299 - 431

= -132

c) -4235 + 176 - (-3285)

= -4235 + 176 + 3285

= -4235 + 3461

= -774

d) -20 is less than 20 by 40 [20 - (-20)].

e) -16 + x = 45

x = 45 + 16

x = 61

f) 25 + x = -30

x = -55

g) -12 - 12 = -24

h) -114 x 15 (105) (15)​

= -114 x 23625

= -2,693,250

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Answer:

g(1) = 1

Step-by-step explanation:

the absolute value function always gives a positive result, that is

| - a | = | a | = a

to evaluate g(1) substitute x = 1 into g(x)

g(1) = - 3| 1 - 2| + 4

    = - 3| - 1| + 4

   = - 3(1) + 4

  = - 3 + 4

  = 1

Answer:

if there is 34 pounds in all and 12 guests, you need to start your step by step with the multiplication of 12 x 1, 12 x 2, 12 x 3, etc.

12 x 2 is 24 and 12 x 3 is 36. 34 pounds will not feed all of the people equally, so you must reduce the amount till you can feed the 12 people. I would actually have 2.8 pounds per person. 2.8 pounds x 12 = 33.6

Step-by-step explanation:

multiply