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2 years ago

What is the solution set of y< 1-6x

1 answer:

4 0

Y<1-6x

Insert the values of
x
=
x
=
and
y
=
y
=
into the equation to find if the ordered pair is a solution.
y
<
1
−
6
x
y
<
1
-
6
x
Rewrite so
x
x
is on the left side of the inequality.
1
−
6
x
>
y
1
-
6
x
>
y
Subtract
1
1
from both sides of the inequality.
−
6
x
>
y
−
1
-
6
x
>
y
-
1
Divide each term by
−
6
-
6
and simplify.

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A 18 gram sample of a substance that's used to detect explosives has a k value of0.125

mr Goodwill [35]

T1/2 = ln 2 / k = ln 2 / 0.125 = 5.5

4 0

2 years ago

The length of a 200 square foot rectangular vegetable garden is 4feet less than twice the width. Find the length and width of th

inna [77]

Answer:

Length = 18.099 ft

Width = 11.049 ft

Step-by-step explanation:

let the length of the field be x ft

and the width be y ft

as per the condition given in problem

x=2y-4 -----------(A)

Also the area is given as 200 sqft

Hence

xy=200

Hence from A we get

y(2y-4)=200

taking 2 as GCF out

2y(y-2)=200

Dividing both sides by 2 we get

$y(y-2)=100$

$y^2-2y=100$

subtracting 100 from both sides

$y^2-2y-100=0$

Now we solve the above equation with the help of Quadratic formula which is given in the image attached with this for any equation in form

$ax^2+bx+c=0$

Here in our case

a=1

b=-1

c=-100

Putting those values in the formula and solving them for y

$y=\frac{-(-2)+\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

Solving first

$y=\frac{2+\sqrt{4+400}{2}$

$y=\frac{2+\sqrt{404}{2}$

$y=\frac{2+20.099}{2}$

$y=\frac{22.099}{2}$

$y=11.049$

Solving second one

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{2-\sqrt{4+400}{2}$

$y=\frac{2-\sqrt{404}{2}$

$y=\frac{2-20.099}{2}$

$y=\frac{-18.99}{2}$

$y=-9.045$

Which is wrong as the width can not be in negative

Our width of the field is

y=11.099

Hence the length will be

x=2y-4

x=2(11.049)-4

x=22.099-4

x=18.099

Hence our length x and width y :

Length = 18.099 ft

Width = 11.049 ft

4 0

3 years ago

What is the squad root of 81

lara [203]

Answer:

$9$

Step-by-step explanation:

Step 1: Find the square root of 81

$\sqrt{81}$

$\sqrt{9*9}$

$\sqrt{9^{2}}$

$9$

Answer: $9$

8 0

3 years ago

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An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with

goblinko [34]

Answer:

Step-by-step explanation:

54 customers paid with cash

42 paid with debit card

153 paid with credit card

Add them up to find the total amount of people:

54 + 42 + 153 = 249

Now write 54(the number of customers who paid with cash) as a fraction over the total, 249.

54/249

So the probability that customers will pay cash is 54/249 or 18/83

8 0

2 years ago

A 1,900 square foot house sold for 165,000. what is the price per square foot?

enyata [817]

Answer:

$86.84

Step-by-step explanation:

165,000 divided by 1,900 is 86.8421053 but since you are wanting the price/ per sq. ft. then it would most likely be $86.84 and not rounded.

6 0

3 years ago

Read 2 more answers