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3 years ago

(7x −4 y 15 )(4x 14 y −3 )

Mathematics

1 answer:

LenKa [72]3 years ago

8 0

Answer:

=11x+10y+12

Step-by-step explanation:

7x +4x -4y+14y 15-3

11x 10y 12

=11x+10y+12

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The annual water usage in rockport increases at a rate of 10% every year as the town gets bigger. this year, the town used 6,740

Finger [1]

Answer:

Step-by-step explanation:

<h3> I=PRT/100</h3><h2> 6740×<u>1</u><u>0</u>×7</h2><h2> 100</h2><h2> 674×1×7</h2><h2> 4618</h2><h2>the nearest hundredth is a 46•18 this is my answer</h2>

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3 years ago

Write the explicit formula that represents the geometric sequence -2, 8, -32, 128

Jet001 [13]

The Geometric Sequence Formula:

$a_n=a_1r^{n-1}$

We have:

$a_1=-2,\ a_2=8,\ a_3=-32,\ a_4=128,\ ...$

$d=\dfrac{a_{n+1}}{a_n}\to d=\dfrac{8}{-2}=-4$

Substitute:

$a_n=-22\cdot(-4)^{n-1}=-22\cdot(-4)^n\cdot(-4)^{-1}=-22\cdot(-4)^n\cdot\left(-\dfrac{1}{4}\right)=5.5(-4)^n$

7 0

3 years ago

Read 2 more answers

What number must be added to the expression below to complete the square? x²-7x

Inessa [10]

Answer:

D. 49/4

Step-by-step explanation:

Complete the square by squaring half the coefficent of the x term

(-7/2)² = 49/4

4 0

3 years ago

Write an equation for the line that passes through (-8.5, 11) and (5, -2.5).

max2010maxim [7]

9514 1404 393

Answer:

y = -x + 5/2

Step-by-step explanation:

The 2-point form of the equation of a line can be useful.

y = (y2 -y1)/(x2 -x1)/(x -x1) +y1

y = (-2.5 -11)/(5 -(-8.5))/(x -(-8.5)) + 11

y = -13.5/13.5(x +8.5) +11 . . . . . . simplify a bit

y = -x +2.5 . . . . . write in slope-intercept form

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3 years ago

A landscape designer has to construct a rectangular flower bed with a perimeter of 100 feet and the maximum possible area. What

Alinara [238K]

9514 1404 393

Answer:

625 square feet

Step-by-step explanation:

The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is

A = (25 ft)² = 625 ft²

The maximum possible area is 625 ft².

In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.

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3 years ago