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1 year ago

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first question what is the starting point?Exponential equation for the black bird: g(x) = 2^x-8 + 1King Pig is located at (11,9)

Moustache Pig is located at (10,4)

1 answer:

goblinko [34]1 year ago

3 0

Given the exponential function:

$g(x)=2^{x-8}+1$

The starting point is found when x = 0.

So, let's substitute x by 0.

$\begin{gathered} g(0)=2^{0-8}+1 \\ g(0)=2^{-8}+1 \\ g(0)=0.0039+1 \\ g(0)=1.004 \end{gathered}$

Answer: The starting point is (0, 1.004).

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I need help with this please!!

vovangra [49]

Answer:

${6x}^{3} + {9x}^{2} - 18x + 3$

Step-by-step explanation:

1. Expand by distributing sum groups. $3x( {2x}^{2} + 5x - 1) - 3( {2x}^{2} + 5x - 1)$

2. Expand by distributing terms.

${6x}^{3} + {15x}^{2} - 3x - 3( {2x}^{2} + 5x - 1)$

3.Expand by distributing terms.

${6x}^{3} + {15x}^{2} - 3x - ( {6x}^{2} + 15x - 3)$

4. Remove parentheses.

${6x}^{3} + {15x}^{2} - 3x - {6x}^{2} - 15x + 3$

5. Collect like terms.

${6x}^{3} + {15x}^{2} - {6x}^{2} ) + ( - 3x - 15x) + 3$

6. Simplify.

${6x}^{3} + {9x}^{2} - 18x + 3$

Thus. the answer is,

${6x}^{3} + {9x}^{2} - 18x + 3$

5 0

2 years ago

2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3

ratelena [41]

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

$x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29$

The associated matrix to the system is

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]$

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

3.

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]$

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]$

Using backward substitution we have that

$0x_5=-140$ , then $0=-140$ and this is absurd. Then The system is inconsistent.

4 0

3 years ago

The length of a rectangular plot is expressed as x²m and the breadth is xm if the area of the rectangular plot is 5832 sq cm the

Zanzabum

Answer:

442

Step-by-step explanation:

4 0

3 years ago

two cars travel at same speed to different destinations. car A reaches its destination in 24 minutes. car B reaches its destinat

Harlamova29_29 [7]

Answer:

The speeds of the cars is: 0.625 miles/minute

Step-by-step explanation:

We use systems of equations in two variables to solve this problem.

Recall that the definition of speed (v) is the quotient of the distance traveled divided the time it took : $v=\frac{distance}{time}$ . Notice as well that the speed of both cars is the same, but their times are different because they covered different distances. So if we find the distances they covered, we can easily find what their speed was.

Writing the velocity equation for car A (which reached its destination in 24 minutes) is:

$v\,*\,24\,min=d_A$

Now we write a similar equation for car B which travels 5 miles further than car A and does it in 32 minutes:

$v\,*\,32\,min=d_A+5\,miles$

Now we solve for $d_A$ in this last equation and make the substitution in the equation for car A:

$v\,*\,32\,min=d_A+5\,miles\\d_A=v\,*\,32\,min-5\,miles\\\\v\,*\,24\,min=v\,*\,32\,min-5\,miles\\v\,(24\,min-32\,min)=-5\,miles\\v\,(-8\,min)=-5\, miles\\v=\frac{-5}{-8} \frac{miles}{min} \\v=0.625\,\frac{miles}{min}$

So this is the speed of both cars: 0.625 miles/minute

3 0

3 years ago

Pumpkins are being sold for $1.30 at the local farmers market. How much would a pumpkin be weighing 6lb 9oz

True [87]

Answer:

$8.53

Step-by-step explanation:

The first thing you do is convert the oz into pounds. There is 16 oz in a pound so our fraction is 9/16 which is 0.5625 . Then adding to the pounds it becomes 6.5625 pounds. Then multiply by 1.3.

8 0

3 years ago