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3 years ago

Question 2 Multiple Choice Worth 1 points)

Mathematics

2 answers:

Tomtit [17]3 years ago

6 0

Answer: "Subtract 6 from both sides, and then divide by 2. The solution is x = 8"

Step-by-step explanation: Lets solve for 2x + 6 = 22

Step 1 Subtract 6 from both sides: 2x + 6 - 6 = 22 - 6 2x = 16

Step 2 Divide by 2 in both sides: 2x/2 = 16/2

Step 3 The answer: x = 8

stiks02 [169]3 years ago

4 0

The solution for this is x=8

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A town is planning a playground. It wants to fence in a rectangular space using an existing wall. What is the greatest area it c

777dan777 [17]

Answer:

1250 $ft^{2}$

Step-by-step explanation:

We are given that the playground is fenced on three sides of the playground and the four side has an existing wall.

Let the length of the rectangle be 'X' feet and width be 'Y' feet.

As the fencing is done using 100 feet of fence. We get the relation between the sides and the fence as, X + 2Y = 100.

As, X + 2Y = 100 → X = 100 - 2Y

Now, the area of the rectangle = XY = X × ( 100 - 2Y ).

i.e Area of the rectangle = $-2Y^{2} +100Y$ .

The general form of a quadratic equation is $y=ax^{2}+bx+c$ .

The maximum value of a quadratic equation is given by $x=\frac{-b}{2a}$ .

Therefore, the greatest value of $-2Y^{2} +100Y$ is at Y = $\frac{-100}{2 \times -2}$ = $\frac{-100}{-4}$ = 25.

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Hence, the area of the rectangle is XY = 50 × 25 = 1250 $ft^{2}$ .

3 0

3 years ago

Can someone help? Thanks!

jolli1 [7]

Answer:

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Step-by-step explanation:

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3 years ago

The equation d = 22.5n + 27.5 represents the amount of money, in dollars, that Kathryn earns for each sale she makes. The variab

egoroff_w [7]

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3 years ago

Read 2 more answers

Find the value of 2x-yi fx+y=8and4x-y=22

Alexeev081 [22]

Answer:

Step-by-step explanation:

Given

$x+y=8\\ \\4x-y=22$

Add these two equations:

$x+y+4x-y=8+22\\ \\5x=30\\ \\x=6$

Substitute it into the first equation:

$6+y=8\\ \\y=8-6\\ \\y=2$

Then

$2x-y=2\cdot 6-2=12-2=10$

5 0

3 years ago

Can someone help with this please

VladimirAG [237]

Answer:

GH = 9

Step-by-step explanation:

Note:

GI = GH + HI

Plug in the corresponding terms to the corresponding variables:

3x + 8 = (x + 6) + (x + 5)

First, simplify. Combine like terms:

3x + 8 = (2x) + (11)

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 2x and 8 from both sides:

3x (-2x) + 8 (-8) = 2x (-2x) + 11 (-8)

3x - 2x = 11 - 8

x = 3

Plug in 3 for x in the length of GH.

GH = x + 6

GH = 3 + 6

GH = 9

9 is the numerical length of GH.

5 0

3 years ago