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Alex73 [517]
2 years ago
10

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

Mathematics
1 answer:
Viefleur [7K]2 years ago
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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T1/2 = ln 2 / k = ln 2 / 0.125 = <span>5.5</span>
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:

<u>Step 1:  Find the square root of 81</u>

<u />\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
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