Solve the system of equations.y= x2 + 3x - 4y = 2x - 4A. (-1,6) and (0,4)O B. (-1,-6) and (0, -4)C. (0,-4) and (1, -2)O D. (0,4) and (1,-6)

Answer: A=-16  B=-5  C=-3

Step-by-step explanation:

Firstly, we have to write the general depreciation fomula as follows;

where V(t) represents the value of the commodity after a certain t years

I is the initial value of the item

r is the annual percentage change (rate of depreciation)

t is the number of years

a) Here, we want to calculate the annual rate of change

According to the data given in the question;

V(t) = $13,000

I = $41,000

r = ?

t = 2004-1994 = 10 years

Now, we proceed to substitute these values, to find the find of r as follows;

b) To write r in percentage form, we have to multiply the answer in 'a' above by 100

We have this as ;

c) Here, we want to get the car value by year 2009

In that instance;

V(t) = ?

I = $41,000

r = 0.1085

t = 2009-1994 = 15

Substituting these values, we have;

To the nearest 50 dollars, this is $7,300

Equation

Let's multiply -1 by Eq 1

Now for x

The answer would be (10, -2)

Answer:

y=4/3x+17/3

Step-by-step explanation:

Perpendicular lines have reciprocal negative slopes, find the slope of the new line:

-3/4 --> m = 4/3

Write line in point slope form:

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

Distribute:

y-3=4/3x+8/3

Simplify:

y=4/3x+17/3

The horizontal axis represents the time in hours, and the vertical axis represents the number of miles ran.

So for the first part we have 3 miles in 30 minutes (0.5 hour), so we can draw a line from point (0, 0) to point (0.5, 3)

For the second part, he rests for 15 minutes (0.25 hour), so the y-value doesn't change, therefore we have a horizontal line from (0.5, 3) to (0.75, 3).

Then, we have 2 miles in 15 minutes, so we have a line from (0.75, 3) to (1, 5).

And finally, 1 mile in 15 minutes, so a line from (1, 5) to (1.25, 6).

Sketching the graph, we have:

A rational number can be represented by dividing two integers.

So, it can be represented as a ratio of 2 integers.

-7 = -7/1

-7 is a rational number

Answer:

  x = -11

Step-by-step explanation:

You want to know the value of x that correctly solves the equation 3.2x -5 = -40.2.

This 2-step linear equation is solved in the usual way:

Step 1: isolate the variable term

  3.2x -5 +5 = -40.2 +5 . . . . . . . . . add 5 to both sides

  3.2x = -35.2 . . . . . . . . . . . . . simplify

Step 2: isolate the variable

  3.2x/3.2 = -35.2/3.2 . . . . . . . . . . divide both sides by the coefficient of x

  x = -11 . . . . . . . . . . . . . . . . . . simplify

The following problem can be well explained by the diagram shown below:

Hence by the trigonometry of the figure use the trigonometric ratio of cos to get:

Hence the support is 6.8 feet away from the wall.

Option A is correct.

In the local hamburger shop the total number of hamburgers sold on Wednesday , based on the given data is :

325 hamburgers.

A General Rule for Equation Solving

here form a equation based on given data ;

let ,  Hamburgers be = x

let, Cheeseburgers be = y

here , No. of burgers (hamburgers and cheeseburgers )sold  = 598

here,

x + y = 598 =>(1)

y = x - 52  => (2)

solving 2 equations ,

x + ( x - 52 ) = 598

x + x - 52     = 598

2x = 598 + 52

x = 650 /2

x =  325

on Wednesday  325 hamburgers were sold.

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Answer:

Y=-1/4x+-6

Step-by-step explanation:

convert the line to slope intercept form

x is the slope and the last thing is the y intercept

7 is the value of function s and t .

What is function explain?

s(x)= x-3

t(x) = 3x+4

(s•t) = ( x -3 ) ( 3x + 4 )

        = ( 3x²  + 4x - 3x² - 12 )

         = 4x - 12

(s-t) (x) = ( x-3 ) - ( 3x+4 )

           =  x-3 - 3x + 4

           = -2x + 1

(s + t) (-2) =  x-3 +  3x+4

               =  4x + 1

(s + t) (-2) =  4 *  - 2 + 1

              = 8 - 1  = 7

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The number 13% as an equivalent fraction is 13/100

From the question, the given parameter is

13%

This above number is a percentage or percentile

So, we have

Percentage = 13%

Next, we multiply the percentage by 1

So, we have

Percentage = 13% x 1

Express 1 as 100/100

So, we have

Percentage = 13% x 100/100

Evaluate the product of 13% and 100

So, we have

Percentage = 13/100

Rewrite as

Fraction = 13/100

The fraction cannot be further simplified

Hence, the equivalent fraction of 13% is 13/100

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Answer:

mi cola es grande

Step-by-step explanation:

uhh

The value of the variable x associated to the triangle is equal to 6.

Triangles are figures with three sides and three internal angles. According to Euclidean geometry, the sum of the measures of the internal angles is equal to 180° and we must solve the following equation for x:

(8 · x - 18) + 40 + 110 = 180

(8 · x - 18) + 150 = 180

(8 · x - 18) = 30

8 · x = 48

x = 6

The triangle has internal angles of 30°, 40° and 110° and the value of variable x is 6.

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Callan hikes at the rate of 3 miles per hour, that means, the table of values of values would be completed as follows;

Hours, x Miles, y

1 3

3 9

5 15

The ordered pair above is derived by multiplying every hour by 3 to arrive at the number of miles.

The graph is now shown as;

For the given functions, we will find the first derivative of each function

Note:

a, and b are constants

y, f, and g are functions

2) y = (a+bf)/g

We will use the quotient rule to find y' as follows:

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

3) y = (x+f)/g

We will use the quotient rule to find y' as follows:

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

4) y = (x+f)³

We will use the exponent rule to find the derivative as follows:

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

5) y = ax² + bg² + f

so, y' will be as follows:

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

A

Since The equation is

To find its inverse we have to proceed to some steps

a= 4n-20

1) Swap a for n, in this case,

n=4a-20

2) Isolate n on the left side by subtracting 4a on both sides:

n -4a =4a-4a -20

n-4a=-20

3) Subtract n on both sides

a-a-4n =-20-a

-4n=-20 -a

4) Multiply it by -1

4n = 20 + a

5) Divide by 4, there you have it. The inverse function:

To find its in

Answer:

Step-by-step explanation:

Answer:  Y = 3x + 3

Simply plug in points on graph calculator.

Answer:

Step-by-step explanation:

I think it might be y=3/1+6 ??? i might be wrong

The number of blue pen is 15

The number of black pens is 35

The number of red pens is 40

The total number of pens in the bucket = Blue pens + black pens + red pens

The total number of pens = 15 + 35 + 40

= 90

Therefore, the total number of pens in the bucket = 90 pens

The probability that black pen is picked is

Probablity = possible outcomes/ total outcomes

P(black) = 35 / 90 x 100%

P(black) = 0.3888 x 100%

P(black) = 38.88%

P(black) = 39%

P(blue or black)

If its pick at random without replacement then

If the first pick is blue, then the total number of pen in the bucket remains 89

For the first pick will be 15/90

Since the remaining pens is 89, then the second pick is

35/89

Then we have

15/90 + 35/89

LCM is 8010

8010 x 15 / 90 + 35 x 8010 /89 / 8010

89 x 15 + 35 x 90 / 8010

P(blue / black) = 1335 + 3150 / 8010

P(blue or black) = 4485 / 8010

P(blue or black) = 0.559 x 100%

P(blue or black) = 55.9%

P(blue or black) = 56%

Answer: 7+(11/r)

Step-by-step explanation:

From the picture, we have the graph of the linear parent function f(x) = x.

We have the following statements as descriptions of the function:

A. The function is negative when x < 0.

From the graph, we see that the function takes negative values for x < 0. This statement is true.

B. The function is negative when x < 0 and also when x > 0.

The first part of this statement is true, but the second is not because that we see that the function takes positives values for x > 0. So this statement is false.

C. The function is never negative.

If we see the graph, the function is negative when x < 0. So this statement is false.

D. The function is negative when x > 0.

Again, seeing the graph we note that the function takes positive values for x > 0. So this statement is false.

So the only statement that it is true, is option A.

Molly gave away 90 trading cards out of 250 trading cards to her friend Carol.

Initially molly had 250 cards.

She gave away n trading cards to her friend.

Now molly has (250 - n) trading cards.

Initially Marcus had 4430 trading cards.

The number of cards that Marcus gave away is is three times of molly.

Cards gave away by Marcus = 3n

Now, Marcus is left out with (430 - 3n) trading cards/

After giving away the cards,

Molly and Marcus had same number of trading cards.

So, we can write,

250-n = 430-3n

Now, we have a linear relation between the number of cards given away and the remaining cards,

Further solving,

2n = 180

n = 90.

So, Molly gave away 90 cards.

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The probability of having an even or a number greater than 9 is 2/3.

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. The more likely the event is to happen, the closer the probability value would be to 1.

The sample space of two 6-sided dice would be 36

Of this 36, there would be 18 which would have an even sum.

There would be 6 with a sum greater than 9.

The probability of having an even or a number greater than 9 = (18/36) + (6/36) = 24 / 36 = 2/3

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Answer:

  5/9

Step-by-step explanation:

You want the probability that a roll of 2 dice will produce a sum that is even or greater than 9.

Half the numbers on each die are even. Their sum will be even when the dice show ...

  even + even . . . . p = (1/2)(1/2) = 1/4

  odd + odd . . . . . . p = (1/2)(1/2) = 1/4

So, the 36 possible outcomes will produce an even sum (1/4) +(1/4) = 1/2 of the time. That is, there are 1/2(36) = 18 outcomes with an even sum.

The sums that are greater than 9 are 10, 11, 12. Of these, 10 and 12 are outcomes that are even, so are already counted.

The sum 11 can be made two ways: 6 +5 or 5 +6.

So, "or greater than 9" adds 2 outcomes to the 18 we have already counted.

The final tally of outcomes of interest is ...

  18 + 2 = 20 . . . . of 36 possible outcomes

That is ...

  P(even or >9) = 20/36 = 5/9

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ANSWER

ΔOMN ~ ΔOJK; SAS

EXPLANATION

As we can observe in the diagram, the triangles share angle O and we have information about the sides forming that angle, so the postulate to use, in case they are similar, is SAS.

If two triangles are similar, then the ratio between corresponding sides is constant.

Let's assume that the similar triangles are triangle OMN and triangle OJK. Then, the previous statement is,

Replace the side lengths for the first and last ratios - since we don't know the lengths of sides MN and JK,

The ratio between corresponding sides is constant, 4/3. Hence, triangles OMN and OJK are similar, by SAS.

Answer:

7,290,000.answer

Step-by-step explanation:

1 km= 100000 m

1 hour = 60 minute

8100 km = 810000 m

9 hour=540 minute

60/540.00 cancel

6/54 will be than cut 6×9=54

SO,multiply 810000×9 = 7,290,000

Answer:

The answer is 7,290,00

Step-by-step explanation:

1 km= 100000 m

1 hour = 60 min

8100 km = 810000 m

9 hour=540 min

60/540.00 cancel

6/54 will be than cut 6×9=54

so ,multiply 810000×9 = 7,290,000

Perimeter = 36 units

width = x

length = 4x - 2

Equation of perimeter = 2width + 2length

Substitution

36 = 2(x) + 2(4x - 2)

Expanding

36 = 2x + 8x - 4

36 = 10x - 4

36 + 4 = 10x

40 = 10x

x = 40/10

x = 4

The greatest number of plates he can make to share is 6.

From the information, Gabe has just moved to a new town and wants to share plates of baked goods with his neighbors and he has 16 cookies and 24 brownies to share.

It should be noted that this illustrates that we have to find the highest common factor for 16 and 24.

This will be:

18 = 2, 3, 6, 9 and 18.

24 = 2, 3, 4, 6, 8, 12 and 24

The highest common factor is 6.

Therefore, the number will be 6 plates.

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Result of matrix multiplication [tex]\left[\begin{array}{ccc} - 1&2&0\\3&2&4\\ - 5& - 1&6\end{array}\right] \times \left[ \begin{array}{cc} 2& - 3 \\ 7& - 1 \\ 1&2 \end{array} \right] = \left[\begin{array}{ccc} 12&1\\ - 4 &1\\ - 11&28\end{array}\right] [/tex].

A matrix is a series of numbers forming a square or rectangle arranged in rows and columns enclosed in square brackets [ ] or regular brackets ( ).

Solution:

[tex]\left[\begin{array}{ccc} - 1&2&0\\3&2&4\\ - 5& - 1&6\end{array}\right] \times \left[ \begin{array}{cc} 2& - 3 \\ 7& - 1 \\ 1&2 \end{array} \right] [/tex]

[tex] \left[ \begin{array}{cc} - 1 \times 2 + 2 \times 7 + 0 \times 1 & - 1 \times ( - 3) + 2 \times ( - 1) + 0 \times 2 \\3 \times 2 + ( - 2) \times 7 + 4 \times 1&3 \times ( - 3) + ( - 2) \times ( - 1) + 4 \times 2\\ - 5 \times 2 + ( - 1) \times 7 + 6 \times 1&( - 5) \times ( - 3) + ( - 1) \times ( - 1) + 6 \times 2 \end{array}\right ][/tex]

[tex]\left[\begin{array}{ccc} 12&1\\ - 4 &1\\ - 11&28\end{array}\right ][/tex]