All categories

3 years ago

Which inequality is equivalent to 7x-2y>8?

1 answer:

4 0

$7x-2y\ \textgreater \ 8 \\ 7x-8 \ \textgreater \ 2y /:2 \\ \frac{7}{2} x -4\ \textgreater \ y \\ y\ \textless \ \frac{7}{2} x-4$

You might be interested in

F(x)=1/3x4x^ How do I find F(4)

djverab [1.8K]

Assuming yo meant
f(x)=(1/3)4x²

sub 4 for x
f(4)=(1/3)4(4)²
f(4)=(1/3)4(16)
f(4)=(1/3)64
f(4)=64/3

8 0

3 years ago

Tawnee is designing a playground in the shape of a rectangle. If Tawnee increases the length and width of the playground by a sc

svetlana [45]

Answer:

We conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.

Step-by-step explanation:

We know that the perimeter of a rectangle = 2(l+w)

i.e.

P = 2(l+w)

Here

'l' is the length

'w' is the width

Given that the length and width of the playground by a scale factor of 2

A scale factor of 2 means we need to multiply both length and width by 2.

i.e

P = 2× 2(l+w)

P' = 2 (2(l+w))

= 2P ∵ P = 2(l+w)

Therefore, we conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.

4 0

3 years ago

Read 2 more answers

Plzzzzz hellllppppp!!!!

Mashutka [201]

Y=x3 +2 is the answer

8 0

3 years ago

Please help with equations tables and graphs

REY [17]

A. time and distance
1.distance depends on time
2. independent. time
dependent. distance
b. y=50x
input number put in for x
output the y value after its solved.
2a. y=50(6)
y=300
2b. no it will travel 25 miles less because if you plug 4 in for x it equals 200
hope this helps

6 0

2 years ago

The mass of the eggs laid by a certain breed of hen is a normally distributed random variable with mean 0.06kg and standard devi

Olin [163]

a (i) The number of standard size is 288 eggs

a (ii) The number of medium size is 1,476 eggs

a (iii) The number of large size is 36 eggs

b (i) The expected profit made from selling the standard size is Gh¢43.2

b (ii) The expected profit made from selling the medium size is Gh¢516.6

b (iii) The expected profit made from selling the large size is Gh¢16.2

The given parameters:

the mean of the distribution, m = 0.06 kg

standard deviation (std) of the distribution, d = 0.009 kg

number of the samples, n = 1800 eggs

(i) Find the position of "less than 0.052 kg (standard size)":

1 standard deviation below the mean = m - d

m - d = 0.06 kg - 0.009 kg = 0.051 kg

(the standard size is 1 standard deviation below the mean)

less than 1 standard deviation below the mean in a normal distribution is equal to 16% of the data samples

Number of standard size = 0.16 x 1800 = 288 eggs

(ii) Find the position of "Between 0.052 kg and 0.075kg (medium size)":

0.052 kg is 1 standard deviation below the mean

2 standard deviation above the mean = m + 2d
m + 2d = 0.06 + 2(0.009) = 0.078 kg

(the medium size is between 1 std below the mean and 2 std above the mean)

Between 1 std below the mean and 2 std above the mean in a normal distribution = (68 + 14)% = 82%

Number of medium size = 0.82 x 1800 = 1,476 eggs

(iii) Find the position of "Greater than 0.075 kg (large size)":

0.078 kg is 2 standard deviation below the mean
greater than 2 std above the mean in a normal distribution = 2 % of the data samples
Number of large size = 0.02 x 1800 = 36 eggs

Check: 288 eggs + 1476 eggs + 36 eggs = 1,800 eggs

(b) the cost of production of an egg = Gh¢0.45

the selling price of the standard size = Gh¢0.60

the selling price of the medium size = Gh¢0.80

the selling price of the large size = Gh¢0.95

(i) The expected profit made from selling the standard size:

Profit = total revenue - cost of production

Profit = 288(0.6) - 288(0.45) = Gh¢43.2

(ii) The expected profit made from selling the medium size:

Profit = total revenue - cost of production

Profit = 1476(0.8) - 1476(0.45) = Gh¢516.6

(iii) The expected profit made from selling the large size:

Profit = total revenue - cost of production

Profit = 36(0.9) - 36(0.45) = Gh¢16.2

Learn more here: brainly.com/question/22520030

3 0

2 years ago