Suppose that a family wants to increase the size of the garden which is currently 16 feet long and 8 feet wide without changing the basic shape of the garden. That is, the family wants to ensure that the length of the garden remains twice the width (see figure).

1. Write an equation for the area of the new garden.
2. Write an equation that calculates how much more area the new garden will have as compared to the current garden. Simplify the equation into a quadratic equation in standard form.
3. Using the equation from Exercise 2, determine what effect increasing the width of the garden by two feet will have on the length of the garden and the total area of the garden.
4. Using the equation from Exercise 2 and factoring, determine how much the width of the garden will need to be increased in order for the garden area to be 160 square feet larger than its original area.
5. Using the equation from Exercise 2 and factoring, determine how much the width of the garden will need to be increased in order for the garden area to be four times its original area.

Answer:

Gigi Jojo Jojo hip-hop Dutch him

so do Cob zoom from chick dunno drink gum

Step-by-step explanation:

hjjjhb. bjkn

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hj. hm.

gin

ghb.

8vb.

ucnluh itg.hboy

Answer:

1 63636363 /1000000000

Step-by-step explanation:

Since it is 1. ..., it would be a mixed number with the 1 out front. There are 9 numbers after the decimal, making the denominator one billion, and then take the actual numbers (63) and make them the numerator.

Answer:

k= -8/9j+ -1/9m+ 1

Step-by-step explanation:

Let's solve for k.

m=−8j−9k+9

Step 1: Flip the equation.

−8j−9k+9=m

Step 2: Add 8j to both sides.

−8j−9k+9+8j=m+8j

−9k+9=8j+m

Step 3: Add -9 to both sides.

−9k+9+−9=8j+m+−9

−9k=8j+m−9

Step 4: Divide both sides by -9.

-9k/-9= 8j+m-9/-9

Answer:

[tex]x<-5\text{ or } x>1[/tex]

Step-by-step explanation:

We have:

[tex](x+5)(x-1)[/tex]

And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:

[tex](x+5)(x-1)>0[/tex]

Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:

[tex](x+5)(x-1)=0[/tex]

Zero Product Property:

[tex]x+5=0\text{ or } x-1=0[/tex]

On the left, subtract 5.

On the right, add 1.

So, our zeros are:

[tex]x=-5, 1[/tex]

Since our inequality is a greater than, our answer is an "or" inequality with our answer being all the values to the left of our lesser zero and all the values to the right of our greater zero.

So, our solution is:

[tex]x<-5\text{ or } x>1[/tex]

And we're done!

Answer:

The regions where (x+5) (x-1) >0 is x< -5  or x>1

Step-by-step explanation:

(x+5) (x-1) >0

First find the zeros

(x+5) =0    x-1 =0

x= -5      x=1

We then have to check the regions

x< -5              -5 <x<1                  x>1

First x< -5

(x+5) (x-1)

X+5 will be negative  ( x-1) will be negative

(-) * (-) = +  so the values will be positive

Then     -5 <x<1      

X+5  will be positive   ( x-1) will be negative

( +) * (-)  will be negative

First x>1

(x+5) (x-1)

X+5 will be positive  ( x-1) will be positive

(+) * (+) = +  so the values will be positive

The regions where (x+5) (x-1) >0 is x< -5  or x>1

Answer:

6/16n is your answer I think

Answer:

it last 2 hours and 30 min

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

try substituting

crossmultyply

x=-9-y

substituting

-9-y=-25+9

y=16

substituting

pick one of the equations

x+y=-9

x-16=-9

x=-9+16

x=7

Answer: 120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

x>3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x > 3

Interval Notation:

( 3 , ∞ )

Answer:

Both Triangle are congruent because they have equal sides (the same amount of ticks on each side) The triangles are congruent.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes I would be glad to help you

Answer:

3x=4

Step-by-step explanation:

3x+3=7

3x=4

Answer:

Step-by-step explanation:

280÷8=35+5=$40

Answer:

13.86

Step-by-step explanation:

(-2.2)(1.5)(-4.2) =

Use a calculator. Start with -2.2 * 1.5.

= (-3.3)(-4.2)

= 13.86

Answer:13.86

Step-by-step explanation:

((−2.2)(1.5))(−4.2)

=(−3.3)(−4.2)

=13.86

Answer:

3

Step-by-step explanation:

22=6c=4+12c

    -6c      -6c

22=4+6c

-4   -4

18=6c

/6   /6

3=c

Answer:

concrete jungles where dreams are made of

Step-by-step explanation:

Answer:

There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.

Step-by-step explanation:

Sample response :)

Answer:

x=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5(x−1)+3=13

(5)(x)+(5)(−1)+3=13(Distribute)

5x+−5+3=13

(5x)+(−5+3)=13(Combine Like Terms)

5x+−2=13

5x−2=13

Step 2: Add 2 to both sides.

5x−2+2=13+2

5x=15

Step 3: Divide both sides by 5.

5x

5

=

15

5

x=3

Answer:

x=3

According to Khayyam-Pascal triangle ,

the value of n is 8.

[tex] look \: \\ \\ {(x + 1)}^{8} = {x}^{8} + 8 {x}^{7} + 28 {x}^{6} + 56 {x}^{5} + 70 {x}^{4} + 56 {x}^{3} + 28 {x}^{2} + 8x + 1 \\ \frac{56}{28} = 2 [/tex]

Recall the binomial theorem:

[tex](a+b)^n=\displaystyle\sum_{k=0}^n\binom nk a^k b^{n-k}[/tex]

where

[tex]\dbinom nk=\dfrac{n!}{k!(n-k)!}[/tex]

is the binomial coefficient. So

[tex](x+1)^n=\displaystyle\sum_{k=0}^n\binom nk x^k[/tex]

The x² term occurs for k = 2, which has coefficient

[tex]\dbinom n2=\dfrac{n!}{2!(n-2)!}=\dfrac{n(n-1)}2[/tex]

The x³ occurs for k = 3, with coefficient

[tex]\dbinom n3=\dfrac{n!}{3!(n-3)!}=\dfrac{n(n-1)(n-2)}6[/tex]

The latter coefficient is twice the other one, so that

[tex]\dfrac{n(n-1)(n-2)}6=2\cdot\dfrac{n(n-1)}2[/tex]

Solve for n :

[tex]\dfrac{n(n-1)(n-2)}6=n(n-1)[/tex]

[tex]n(n-1)(n-2)=6n(n-1)[/tex]

[tex]n-2=6[/tex]

[tex]\boxed{n=8}[/tex]

Answer:

12.55 milliliters

Step-by-step explanation:

0.25+12.3=12.55

Good luck!

The  mixture contains 12.55 milliliters.

Two or more expressions with an Equal sign is called as Equation.

Given that For part of a science experiment, Andre adds 0.25 milliliters of dye to 12.3 milliliters of water.

we need to find the amount of  milliliters does the mixture contain.

Add twelve point three plus zero point two five.

12.3+0.25

 12.30

+  0.25

_______

12.55

Hence, the  mixture contains 12.55 milliliters.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ3

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = − 38

Step-by-step explanation:

Answer:

−38

Step 1: Simplify both sides of the equation.

−(6x+8)=4(17−x)

−6x+−8=(4)(17)+(4)(−x)(Distribute)

−6x+−8=68+−4x

−6x−8=−4x+68

Step 2: Add 4x to both sides.

−6x−8+4x=−4x+68+4x

−2x−8=68

Step 3: Add 8 to both sides.

−2x−8+8=68+8

−2x=76

Step 4: Divide both sides by -2.

−2x−2=76−2

x=−38

Answer:

45

Step-by-step explanation:

81° + a° + 2a° = 180°

81° + 3a = 180°

3a = 180 - 81

3a = 99°

a = 99 ÷ 3

a = 33°

Therefore , a = 33° .

Step-by-step explanation:

-6a - 4(a - 3) = -6a + 15

=> -6a - 4a + 12 + 6a - 15 = 0

=> -4a - 3 = 0

=> -4a = 3

=> a = -3/4

Answer:

They sold 60 muffins and 60 cookies yesterday

It is a LCM problem

Step-by-step explanation:

6 muffins together

20 cookies together

To sell the same amount of muffins and cookies,

Find the lowest common multiple of 6 muffins and 20 cookies

6 muffins = 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78

20 cookies = 40, 60, 80

The lowest common multiple of 6 muffins and 20 cookies is 60

Therefore,

They sold 60 muffins and 60 cookies yesterday

It is a LCM problem

Answer:

False

Step-by-step explanation:

Answer: true

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

-8(17-12)

------------

-2(8-(-2)

= -8(5)

--------

-2(10)

= -40

----------

-20

Answer:

A:-1

Step-by-step explanation:

Answer:

69

\

Step-by-step explanation:

Answer:

a

Step-by-step explanation: