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3 years ago

(8x2+6x+6)–(3x2+x+2)

Mathematics

1 answer:

masha68 [24]3 years ago

8 0

Answer: 5x2+5x+4

Step-by-step explanation:

8x2+6x+6−(3x2+x+2) so then it =5x2+5x+4

hope this helps

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Answer all for points

IceJOKER [234]

Answer:

1. If we drink 8 glasses, we are drinking 2 L of water, so we are exceeding 1 L of water per day.

2. We need 100 sections.

I used metric conversion to convert km to meters.

3. 230 mL of lemonade per person

I used metric conversion to convert L to ML

Step-by-step explanation:

1. 250 mL = 1 glass

We are drinking 8 glasses

8 glasses * 250 ml/ 1 glass = 2000 mL

1 L = 1000 mL

2000 mL * 1 L/1000 mL =2 L

If we drink 8 glasses, we are drinking 2 L of water, so we are exceeding 1 L of water per day.

I used metric convertsion to convert mL to liters.

Guardrails sections to be 5m long

Road length that needs a guardrail is .5 km. We need to convert this to meters 1000 m = 1 km

.5km * 1000m / 1km = 500 meters

We have 500 meters that needs guardrails.

500 meters * 1 section/ 5 meters = 100 sections

We need 100 sections.

I used metric conversion to convert km to meters.

3. 6.9 L of lemonade to serve 30 people. We want to serve ml

Convert L to mL

1L = 1000 ML

6.9 L * 1000 ml/1L = 6900 mL

We need to divide 6900 Ml by 30 people

6900mL/30 people = 230 mL of lemonade per person

I used metric conversion to convert L to ML

5 0

4 years ago

What is the length of side AC as shown on the coordinate plane?

Anon25 [30]

Answer:

Easy, 4 units

Step-by-step explanation:

4 0

3 years ago

A certain recipe asks for 4/9 cup of granola , How much is needed to make 4/9 of a recipe

artcher [175]

4/9 times 4/9 is 16/81.
To make 4/9 of a recipe, 16/81 cups of granola needed.

7 0

3 years ago

A rectangular box with a volume of 272ft^3 is to be constructed with a square base and top. The cost per square foot for the bot

ASHA 777 [7]

Answer:

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

The length of one side of the base of the given box is 3 ft.

The height of the box is 30.22 ft.

Step-by-step explanation:

Given that, a rectangular box with volume of 272 cubic ft.

Assume height of the box be h and the length of one side of the square base of the box is x.

Area of the base is = $(x\times x)$

$=x^2$

The volume of the box is = area of the base × height

$=x^2h$

Therefore,

$x^2h=272$

$\Rightarrow h=\frac{272}{x^2}$

The cost per square foot for bottom is 20 cent.

The cost to construct of the bottom of the box is

=area of the bottom ×20

$=20x^2$ cents

The cost per square foot for top is 10 cent.

The cost to construct of the top of the box is

=area of the top ×10

$=10x^2$ cents

The cost per square foot for side is 1.5 cent.

The cost to construct of the sides of the box is

=area of the side ×1.5

$=4xh\times 1.5$ cents

$=6xh$ cents

Total cost = $(20x^2+10x^2+6xh)$

$=30x^2+6xh$

Let

C $=30x^2+6xh$

Putting the value of h

$C=30x^2+6x\times \frac{272}{x^2}$

$\Rightarrow C=30x^2+\frac{1632}{x}$

Differentiating with respect to x

$C'=60x-\frac{1632}{x^2}$

Again differentiating with respect to x

$C''=60+\frac{3264}{x^3}$

Now set C'=0

$60x-\frac{1632}{x^2}=0$

$\Rightarrow 60x=\frac{1632}{x^2}$

$\Rightarrow x^3=\frac{1632}{60}$

$\Rightarrow x\approx 3$

Now $C''|_{x=3}=60+\frac{3264}{3^3}>0$

Since at x=3 , C''>0. So at x=3, C has a minimum value.

The length of one side of the base of the box is 3 ft.

The height of the box is $=\frac{272}{3^2}$

=30.22 ft.

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

7 0

3 years ago

Need help GET BRAINLISTS #8

gladu [14]

Answer: 6.7 mm

Step-by-step explanation:

The area of a square is equal to side(side), but is also equal to 1/2(apothem)(perimeter).

The apothem is the perpendicular distance from the center of the square to the midpoint of its side.

We can use these formulas to find the apothem and use the pythagorean theorem to find the hypotenuse (slant height).

Area of square = 9(9) = 81

Area of square = 1/2(apothem)(perimeter)

Perimeter = 4(9) = 36

81 = 1/2(apothem)(36)

162 = apothem(36)

apothem = 4.5

Pythagorean theorem: $a^{2} + b^{2} = c^{2}$

Plug the apothem and the given height into the equation:

$4.5^{2} + 5^{2} = x^{2}$ (x being the slant height)

20.25 + 25 = $x^{2}$

x = $\sqrt{45.25}$

x ≈ 6.7

5 0

4 years ago