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3 years ago

What are the solutions of the equation? y=-7(x-3)(x+4)

Mathematics

1 answer:

Shkiper50 [21]3 years ago

3 0

Answer:

{-4, 3}

Step-by-step explanation:

To find "solutions," you must set this function equal to zero:

y = -7(x - 3)(x + 4) = 0

and then set each factor equal to 0 separately and solve each resulting equation for x:

x - 3 = 0 yields x = 3, and

x + 4 = 0 yields x = -4

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Which type of line is shown below

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Type of lines ? Not the best question.

Answer: Perpendicular, first choice

The little 90 degree angle indicator at the intersection marks these lines as meeting at a right angle, which is called perpendicular.

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3 years ago

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Find the surface area

timofeeve [1]

Answer: 196 m

Step-by-step explanation:

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2 years ago

The sales tax rate is 4.3064.306% for the city and 44% for the state. Find the total amount paid for 33 boxes of chocolates at

svp [43]

Answer:

The Total amount of of 33 boxes of chocolates including taxes is $838.358

Step-by-step explanation:

Given as :

The sales tax rate for city = 4.306%

The sales tax rate for the state = 44%

Total number of boxes = 33

The price of each chocolates = $17.13

So , The price of 33 boxes of chocolates = $17.13 × 33

I.e The price of 33 boxes of chocolates = $565.29

Now total tax including state and city = 4.306% + 44% = 48.306 %

So, The tax amount paid for 33 boxes of chocolates = 48.306 % of $565.29

∴ The tax amount paid for 33 boxes of chocolates = 48.306 % × $565.29

= 0.48306× $565.29

= $273.068

∴ The Total amount of of 33 boxes of chocolates including taxes = $565.29 + $273.068 = $838.358

Hence The Total amount of of 33 boxes of chocolates including taxes is $838.358 . Answer

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3 years ago

A rectangular swimming pool is twice as long as it is wide. A small concrete walkway surrounds the pool. The walkway is a 2 feet

Ksivusya [100]

Answer:

The width and the length of the pool are 12 ft and 24 ft respectively.

Step-by-step explanation:

The length (L) of the rectangular swimming pool is twice its wide (W):

$L_{1} = 2W_{1}$

Also, the area of the walkway of 2 feet wide is 448:

$W_{2} = 2 ft$

$A_{T} = W_{2}*L_{2} = 448 ft^{2}$

Where 1 is for the swimming pool (lower rectangle) and 2 is for the walkway more the pool (bigger rectangle).

The total area is related to the pool area and the walkway area as follows:

$A_{T} = A_{1} + A_{w}$ (1)

The area of the pool is given by:

$A_{1} = L_{1}*W_{1}$

$A_{1} = (2W_{1})*W_{1} = 2W_{1}^{2}$ (2)

And the area of the walkway is:

$A_{w} = 2(L_{2}*2 + W_{1}*2) = 4L_{2} + 4W_{1}$ (3)

Where the length of the bigger rectangle is related to the lower rectangle as follows:

$L_{2} = 4 + L_{1} = 4 + 2W_{1}$ (4)

By entering equations (4), (3), and (2) into equation (1) we have:

$A_{T} = A_{1} + A_{w}$

$A_{T} = 2W_{1}^{2} + 4L_{2} + 4W_{1}$

$448 = 2W_{1}^{2} + 4(4 + 2W_{1}) + 4W_{1}$

$224 = W_{1}^{2} + 8 + 4W_{1} + 2W_{1}$

$224 = W_{1}^{2} + 8 + 6W_{1}$

By solving the above quadratic equation we have:

W₁ = 12 ft

Hence, the width of the pool is 12 feet, and the length is:

$L_{1} = 2W_{1} = 2*12 ft = 24 ft$

Therefore, the width and the length of the pool are 12 ft and 24 ft respectively.

I hope it helps you!

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2 years ago

You have determined that the equations x+1=yecks plus one is equal to why and −3x+5=ynegative three ecks plus five is equal to

Anna [14]

Answer:

Step-by-step explanation:

2022 on edge I just did it

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2 years ago