What is the solution set of the equation (x - 2)(x - a) = 0

In case of : Allegra barking n = 4 times, when given 4 sausages - Inductive Logic is used.

Given : Allegra barks once & twice & thrice, when Larry gives him 1 & 2 sausages respectively.

So, later he assumes that he would bark 4 times, if given four sausages

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Answer:

[tex]Length = Width = 6\ units[/tex]

Step-by-step explanation:

Given

[tex]Area=36[/tex]

Required

The least possible material

Sandboxes usually, are rectangles or squares.

Using the above assumption, the area is calculated as:

[tex]Area= Length * Width[/tex]

[tex]Area= L* W[/tex]

[tex]L * W = 36[/tex]

Make L the subject

[tex]L = \frac{36}{W}[/tex]

The material of the outer edge is calculated by the perimeter.

[tex]Perimeter = 2 * (L +W)[/tex]

[tex]P = 2 * (L + W)[/tex]

Substitute [tex]L = \frac{36}{W}[/tex]

[tex]P = 2 * (\frac{36}{W} + W)[/tex]

Open bracket

[tex]P = \frac{72}{W} + 2W[/tex]

[tex]P = 72W^{-1} +2W[/tex]

To get the minimum material needed, we differentiate P

[tex]P' = -72W^{-2} + 2[/tex]

Set: [tex]P' = 0[/tex]

[tex]-72W^{-2} + 2 = 0[/tex]

Collect like terms

[tex]72W^{-2} = 2[/tex]

Divide both sides by 72

[tex]W^{-2} = \frac{2}{72}[/tex]

[tex]W^{-2} = \frac{1}{36}[/tex]

Rewrite as:

[tex]\frac{1}{W^2} = \frac{1}{36}[/tex]

Take positive square roots of both sides

[tex]\frac{1}{W} = \frac{1}{6}[/tex]

Cross multiply

[tex]W = 6[/tex]

Recall that: [tex]L = \frac{36}{W}[/tex]

So, we have:

[tex]L =\frac{36}{6}[/tex]

[tex]L = 6[/tex]

Hence, the dimension with the littlest material as possible is:

[tex]Length = Width = 6\ units[/tex]

Answer:

hello your question has a missing diagram attached below is the missing diagram

answer :  

Mark the point of intersection S of circles R and P, and construct line QS ( option 2 )

Step-by-step explanation:

when constructing a tangent line from one point ( lets say Q as seen in the question ) to a circle P. The next step should be to mark a point of intersection between  the given circles and then construct a line through it

Answer:

Mark the point of intersection S of circles R and P, and construct line QS.

Step-by-step explanation:

This is correct because after you create circle R that intersects circle p, you're supposed to mark the intersection points.  If your in FLVS, it would be in lesson 7.04.  I also got this right on my test.  Good luck!

Answer:

216

Step-by-step explanation:

(6 to the -4th) * (6 to the 7th)

Answer:

where's the question?

Step-by-step explanation:

is it a question?

Answer:

whats the question?

Step-by-step explanation:

Answer:

29.5 times pi or 3.14

Step-by-step explanation:

Answer:

18 mph

Step-by-step explanation:

12.6 × 5 =68.0. 68 - 50 = 18

Answer: 4 black marbles, 3 blue, 2 green, and one red.

Step-by-step explanation:

Answer:

Step-by-step explanation:

point sorry

Answer:

x<5

Step-by-step explanation:

(3x<15)

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

x<15/3

Divide 15 by 3 to get 5.

x<5

Answer:

[tex]x^2+y^2=9[/tex]

Step-by-step explanation:

Equation of a circle (when centred at the origin):

[tex]x^2+y^2=r^2[/tex] where r is the radius of the circle

Plug in the point (0,3) to solve for the radius squared

[tex]0^2+3^2=r^2\\9=r^2[/tex]

Plug r² back into the original equation

[tex]x^2+y^2=9[/tex]

I hope this helps!

Answer:

10%

Step-by-step explanation:

The first step is to calculate the decrease

Original price= $41.10

New price= $36.99

= 41.10-36.99

= 4.11

4.11/41.10 × 100

= 0.1×100

= 10%

Hence the percentage decrease is 10%

Answer:

Step-by-step explanation:

its d cause there is actually 208 nickles and if u ad 8 more it gives u 216.

Answer: D.

Step-by-step explanation:

52x4=208

Since we know she has 4 times as many nickels as dimes(52), we just have to multiply 52x4 to get 208 nickels

208+8=216

We know that she has 8 more quarters than nickels(208) so we have to add 8 to 208 to get 216 quarters

I hope this helps

Hopefully it's brainlist

Answer:

A

Step-by-step explanation:

I believe it is A If I remember correctly

Answer:

B. 44°

Step-by-step explanation:

Central angle = 3x + 10°

Inscribed angle = 2x - 17°

Now

Central angle = 2 * inscribed angle

( Central angle is double of the inscribed angle standing on same arc)

3x + 10° = 2 ( 2x - 17°)

3x + 10° = 4x - 34°

4x - 3x = 34 ° + 10°

x = 44°

Hope it will help :)❤

Answer:

22

Step-by-step explanation:

1/3 of 33=11

11=number of seniors

2/3 of 33=22

22+11=33

22=number of underclassmen

plz can i get brainliest:)

Answer:

.86

Step-by-step explanation:

Exponential function formula

[tex]y = a ( 1 + or - r ) ^t[/tex]

where a = initial value

r = rate of change

and t = number of years

given the equation y = 34000(0.86)^x.

r = .86

Hence the change factor is .86

Answer:

X = 1

Step-by-step explanation:

You first divide each side by 3 leaving you with X+5 = 6. Then you take the 5 to the other side leaving you with X=6-5 as the 5 changes from positive to negative. So 6-5=1 so X=1

Hope this helped

-A3miz

Age:13

Answer:

v^3/2

Step-by-step explanation:

(sqrt(v))^3

sqrt(v)^3

v^3/2

Answer:

-3 = D

Step-by-step explanation:

A really smart freind of mine says this is the answer.

Answer:

1 Simplify  4x\times 2y4x×2y  to  8xy8xy.

8xy-2y\times 2x-5xy

8xy−2y×2x−5xy

2 Simplify  2y\times 2x2y×2x  to  4yx4yx.

8xy-4yx-5xy

8xy−4yx−5xy

3 Simplify.

-xy

−xy

Step-by-step explanation:

62.4 bass per year from year 5 to year 8, the average rate of change from the population was about 67.6 best per year the change of rate increase was about

Answer:

$20.30  plus tax

Step-by-step explanation:

You multiply 28 x .30 and that is your discount.

Answer:

$20.30

Step-by-step explanation:

Answer:

20.05feet

Step-by-step explanation:

Given data

Circumference= 63feet

The expression for circumference is

C= 2πr

substitute

63= 2*3.142*r

63= 6.284r

r= 63/6.284

r=10.025

Hence the diameter is

=10.025*2

=20.05feet

Answer:

-2

Step-by-step explanation:

Given equation

x - 2y = 4

2y = x - 4

y = ( x - 4 ) / 2

y = x/2 - 4 /2

y = x/2 - 2

Comparing with y = mx + b

y-intercept (b) = - 2

Hope it will help :)❤

Answer:

256square units

Step-by-step explanation:

Since we are not given a diagram. Let us assume the side length of the given square is 8 units

If the  the square is enlarged by a scale factor of 2, the side length of the new square will be 2 * 8 = 16units

Since area of a square = L²

Hence the area of the new square =  16²

area of the new square =  256 square units

Hence the area of the new square is 256square units

Note that the side length of the original square was assumed. The values can change depending on the side length of the original square before enlargement