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3 years ago

A countertop is 16 feet long and 3ft wide what is the countertop in square feet

Mathematics

1 answer:

-Dominant- [34]3 years ago

3 0

16 ft * 3 ft = 48 ft^2

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2(x−3)=8(x−6) what is the answer please take your time and get it correct

Taya2010 [7]

Answer: x=7

Step-by-step explanation: First to get rid of the parentheses we must multiply everything times 2 in the parentheses. Then we must also do the same with the other parentheses multiply everything by 8.

2(x−3)=8(x−6)

2x-6=8x-48

Then we subtract 8x from both sides.

2x-6=8x-48

-6x-6=-48

Then add 6 to both sides

-6x-6=-48

-6x=-42

Finally divide both sides -6

-6x/-6=-42/-6

x=7

Hope this helps!

3 0

4 years ago

Answer fast please important

steposvetlana [31]

Answer:

c) does not make sense, y-int is (0,-8). a) the graph does show a linear line. b) sure it works, the x-int is 3. d) yes the line is infinite both ways (x,y) x (infinite, -infinite) y (infinite, - infinite)

Step-by-step explanation:

I hope this helps

4 0

3 years ago

Hich is an equation of a circle with center (-5, -7) that passes through the point (0, 0)?

Rzqust [24]

$(a;\ b)-the\ coordinates\ of\ center\\r-the\ radius\\\\The\ equation\ of\ the\ circle:(x-a)^2+(y-b)^2=r^2\\\\The\ radius\ is\ equal\ the\ distance\ between\ points\ (-5;-7)\ and\ (0;\ 0)\\\\The\ distance\ between\ A(x_A;\ y_A)\ and\ B(x_B;\ y_B):\\d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\\\subtitute:\\r=\sqrt{(0-(-5))^2+(0-(-7))^2}=\sqrt{5^2+7^2}=\sqrt{25+49}=\sqrt{74}\\\\\boxed{(x-(-5))^2+(y-(-7))^2=(\sqrt{74})^2\to(x+5)^2+(y+7)^2=74}$

3 0

3 years ago

Find the generating function for the sequence 1,-2,4,-8, 16, ...

kirill [66]

Answer:

$a(x)=\dfrac{1}{1+2x}$

Step-by-step explanation:

The generating function a(x) produces a power series ...

$a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots$

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

$a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}$

This can be rearranged to ...

$a_n+2a_{n-1}=0$

We can formulate this in terms of a(x) as follows, then solve for a(x).

$\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}$

The generating function is ...

a(x) = 1/(1+2x)

3 0

3 years ago

Read 2 more answers

Round to the ten millions place.

cupoosta [38]

Eeeeeeeeeeeeeeeeeeeeeeee

8 0

3 years ago