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Vlad [161]
4 years ago
13

The length of a rectangle by 5x-3 and the width by 4x represent the area rectangle as a polynomial in simplest form

Mathematics
2 answers:
creativ13 [48]4 years ago
7 0

Answer: A=20x^2-12x

Step-by-step explanation:

Length: 5x-3

Width: 4x

A=w*l\\A=(5x-3)(4x)\\A=20x^2-12x

VikaD [51]4 years ago
5 0

Answer:

20x^2-12x

Step-by-step explanation:

The area of a rectangle can be expressed as the length multiplied by the width. Plugging in the values given, you get (5x-3)(4x)=20x^2-12x. Hope this helps!

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Order each set of rational numbers from least to greatest 2.1,-0.3,0.261,-2.5
sergij07 [2.7K]

Answer:

i think -2.5 -0.3 0.261 2.1

8 0
3 years ago
What is the equation of exponential regression equation? Round all numbers you your answer to three decimal places
Monica [59]

Given:

Consider the below figure attached with this question.

The value in the given figure are:

a=0.2094539899

b=2.507467975

r^2=0.9435996398

r=0.9713905701

To find:

The exponential regression equation for the given values (Rounded to three decimal places).

Solution:

The general form of exponential regression equation is:

y=a\cdot b^x          ...(i)

Where, a is the initial value and b is the growth/decay factor.

The given values are:

a=0.2094539899

b=2.507467975

Round these numbers to three decimal places.

a\approx 0.209

b\approx 2.507

Putting a=0.209, b=2.507 in (i) to find the exponential regression equation.

\hat{y}=0.209\cdot 2.507^x

Hence, the correct option is C.

7 0
3 years ago
A ship at position (1, 0) on a nautical chart (with north in the positive y direction) sights a rock at position (7, 5). What an
Romashka-Z-Leto [24]

Answer:

0.69473828 radians east of north.

Step-by-step explanation:

Interpreting the information given on a Cartesian plane, the position of the ship will be (1,0) and that of the rock will be (7,5). Connecting the point (1,0) and (7,5) with a line and dropping a perpendicular line from point (7,5) to the x-axis to intersect the x-axis at (7,0), will form a right-triangle with base length 6 units and a height of 5 units.

<u>Finding the base length from points (1,0) and (7,0)</u>

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(7-1)²

d= √6²

d=6 units

<u>Finding the height from points (7,5) and (7,0)</u>

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(7-7)² + (0-5)²

d=√-5²

d=√25

d=5 units

So you now have a right triangle with base length 6 units and height 5 units.

To get the bearing of rock from ship position you apply the formula for tangent of an angle

Tan Ф = length of opposite side/length of adjustment side

TanФ=5/6

Tan Ф =0.83333333333

Tan⁻¹ (0.83333333333) =0.69473828 radians east of north.

3 0
3 years ago
Is 17 1/2 to the right or left of 17 2/3 on the number line? Explain your answer.
liberstina [14]
7 1/2 is to the left of 17 2/3 on a number line because 7 1/2 is less then 17 2/3
8 0
3 years ago
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Doug has saved some money for a new guitar that costs $127, but needs to save more. He writes an addition equation with a variab
Gnom [1K]

Answer:

127 + x = y

Step-by-step explanation:

127 = the amount he already has

x = the amount he needs still

y= the total amount for the guitar

8 0
3 years ago
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