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3 years ago

Which is the graph of the linear inequality 1/2 x-2y>-6 ?

Mathematics

1 answer:

larisa86 [58]3 years ago

5 0

Answer:

<h2>Your Answer is C!!!!!!!!!</h2>

Steps:

$\frac{1}{2} x-2y>-6$

Add 2y to both sides:

$\frac{1}{2} x-2y+2y>-6+2y$

Simplify:

$\frac{1}{2}x>-6+2y$

Multiply both sides by 2:

2· $\frac{1}{2}x>-2$ ·6+2·2y

Simplify:

x>-12+4y

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The equation 201.50=f+6.50(21) represents the cost of printing the shirts at a second printing company. Find the solution to the

AveGali [126]

Answer:

f = 65

Setup cost = 65

Step-by-step explanation:

Given the equation : 201.50=f+6.50(21)

Solving for f:

201.50 = f + 136.50

201.50 - 136.50 = f

f = 65

The equation above is written in the form a slope intercept function where,, 6.50 is the gradient and X equals the number of shirts, The total cost of printing is 201.50

f is the intercept and represents the initial fee or setup cost. Hence, the setup. Cost = 65

5 0

2 years ago

Follow the steps to solve this equation. 3(2x + 6) – 4x = 2(5x – 2) + 6 1. Use the distributive property: 6x + 18 – 4x = 10x – 4

Yuliya22 [10]

Answer:

$x=2$ .

Step-by-step explanation:

We have been given an equation $3(2x+6)-4x=2(5x-2)+6$ . We are supposed to solve our given equation step by step.

Step 1: Use the distributive property.

$3\cdot 2x+3\cdot 6-4x=2\cdot 5x-2\cdot 2+6$

$6x+18-4x=10x-4+6$

Step 2: Combine like terms.

$6x-4x+18=10x-4+6$

$2x+18=10x+2$

Step 3: Use subtraction property of equality:

$2x-2x+18-2=10x-2x+2-2$

$16=8x$

Step 4: Use the division property of equality:

$\frac{16}{8}=\frac{8x}{8}$

$2=x$

Therefore, the solution of our given equation is $x=2$ .

8 0

3 years ago

Read 2 more answers

what are all the square numbers

jok3333 [9.3K]

Answer: So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

hope this helps

8 0

2 years ago

Which expression is a PRODUCT?

Lesechka [4]

The answer is A thanks for asking

8 0

3 years ago

Read 2 more answers

The question is below

Ad libitum [116K]

Answer:

£59.25

Step-by-step explanation:

Hello!

To solve this problem, we must:

Solve for the length of the fence (aka height)
Find the area of the lawn (trapezoid)
Find the number of cans needed
Find the price of all the cans

Area of a trapezoid, and why the formula works:

A trapezoid is a quadrilateral with one set of parallel sides known as bases. The other two sides are known as the legs.

To find the area of a trapezoid, we use the formula:

$\frac{B_1 + B_2}{2}* h$

This works because if we used the formula, we would be duplicating the trapezoid to form a rectangle with a side length of B1 + B2, and a height of h. Since the trapezoid is half of that, we divide by 2.

Solve for height:

The height is unknown but can be found using the Pythagorean Theorem.

The difference between the bases is the length of the bottom leg of the right triangle, and 17 is the hypotenuse.

Difference = 20 - 12 = 8

Hypotenuse = 17

8² + fence² = 17²
64 + fence² = 289
225 = fence²
fence = 15

The height is 15

Solve for area:

Now we can solve for the area.

$A = \frac{B_1 + B_2}{2} * h$
$A = \frac{12 + 20}{2} * 15$
$A = \frac{32}{2} * 15$
$A = 16 * 15 = 240$

The area is 240

Cans:

The area of the lawn is 240 square meters. Each can cover 100 square meters.

240 ÷ 100 = 2.4

Since we can't use part of a can, we round up to three whole cans.

The price of 3 cans :

3 * 19.75
59.25

£59.25

The Pythagorean Theorem:

The Pythagorean theorem is a very common geometry formula used to find the length of the hypotenuse in a right triangle, given the lengths of the two other bases.

The formula is : $a^2 + b^2 = c^2$

a is a leg
b is a leg
c is the hypotenuse

Images attached for your reference

7 0

2 years ago