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3 years ago

1) The length of a rectangle is 5 feet more than 3 times its width. If the area is 182

Mathematics

1 answer:

Rom4ik [11]3 years ago

6 0

Answer:

answer is attached on the photo

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A poster is marked down 35% from an original price of $7.80. What is the sale price?

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Answer:

%5.07

Step-by-step explanation:

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3 years ago

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Graph y > 1 -3x<br> A<br> B<br> C<br> Or D

bazaltina [42]

Answer:

D (You got it right.)

Step-by-step explanation:

Whenever the sign is facing them we will always shade the top. Then we have to find the slope which in this case would be 3(the number that is being multiplied by x. Lastly is the sign does not have a line under it or an equal sign. it won't be a straight line it will have little gaps.

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2 years ago

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3 years ago

A car dealership sold 84 cars in April. The dealership wants to increase the number of cars sold by 25% in May. How many cars wi

Agata [3.3K]

Answer:

The car dealer must sell 105 cars in May to reach his goal.

Step-by-step explanation:

Given that the car dealer sold 84 cars in April, and wants to increase his May sales by 25%, to determine the number of cars he must sell to reach his goal it is necessary to perform the following calculation:

84 + (84 x 0.25) = X

84 + 21 = X

105 = X

Therefore, the car dealer must sell 105 cars in May to reach his goal.

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2 years ago

g Given the system of equations: 15 c1 – 5 c2 – c3 = 2400 - 5 c1 + 18 c2 – 6 c3 = 3500 - 4 c1 - c2 + 12 c3 = 4000 (a) Calculate

denpristay [2]

Answer

(a)

$A^{-1} = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}$

(b)

$A^{-1} b = \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}$

Step-by-step explanation:

Remember that when you want to solve a problem like this, you express the equation as following

$Ax = b$

So, if you know the inverse of $A$ then

$x = A^{-1} b$

For this case

$A = \begin{pmatrix} 15 && 5 && -1 \\ -5 && 18 && -6 \\ -4 && -1 && 12 \end{pmatrix}$

Now for this case the inverse of A would be

$A^{-1} = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}$

Then when you multiply with the vector solution

$A^{-1} b = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix} * \begin{pmatrix} 2400 \\ 3500 \\ 4000 \end{pmatrix} = \frac{1}{3493} \begin{pmatrix} 249500 \\ 1197600 \\ 1347300 \end{pmatrix}\\\\\\= \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}$

So from that information you can conclude that the solution to the system of equations is x = 500/7 y = 2400/7 and z = 2700/7

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3 years ago