find the x number i will gave 10 points​

Answer:

QUADRATIC FUNCTIONS AND EQUATIONS

Danielle N. asked • 11/25/17

You have 356 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area.

(Hint: Write formula for area as a quadratic function of length and use the concept of maximum value of quadratic function)

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Michael J. answered • 11/25/17

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Let length = x

Let width = y

Area = xy

Perimeter equation is

2(x + y) = 356

x + y = 178

Substituting the perimeter equation in the area formula,

Area = x(178 - x)

Area = -x2 + 178x

If the zeros of this quadratic are 0 and 178, then the median is where the maximum area occurs.

178 / 2 = 89

Therefore, the dimensions are

length = 89 feet

width = 178 - 89 = 89 feet

Maximize the enclosed area of the rectangle is 85 ft by 85 ft.

Perimeter of rectangle is defined as addition the lengths of the rectangle's four sides.

Let length = a

Let width = b

Area of rectangle = ab

Perimeter of rectangle equation is 2(a + b)

2(a + b) = 340

a + b = 170

Substitute the perimeter equation in the area formula,

Area = a(170 - a)

Area = -a² + 170a

If the zeros of this quadratic are 0 and 170, then the median is where the maximum area occurs.

170 / 2 = 85

Therefore, the dimensions are

length = 85 feet

width = 170 - 85 = 85 feet

The rectangle is a square.

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Answer: n + 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x + 6  - 3x < 2x + 18

6 < 2x + 18

-12 < 2x

-6 < x

Solution Set = {-5,-4,-3,-2,-1,0......}

Answer:

12.95t+38=115.70

Step-by-step explanation:

Answer:

3?

Step-by-step explanation:

3n²+4m+5

3n²+(4m+5)

=3n²+9m

=3n²/9m;(3÷9)(n²÷m)

=1n²/3m

=n²/3m

Answer:

the  total square inches of the construction paper is 351.63 square inches

Step-by-step explanation:

The computation of the total square inches of the construction paper is shown below;

= (16 × 15 1 ÷ 4)  + (10 1 ÷2 × 10  1 ÷ 4)

= (16 × 61 ÷ 4) +  (21 ÷ 2 × 41 ÷ 4)

= (16 × 15.25) + (10.5 × 10.25)

= 244 + 107.625

= 351.63 square inches

Hence, the  total square inches of the construction paper is 351.63 square inches

We simply added these two

Answer:

3rd option is correct, give me brainiest

Answer:

The answer is 77 degrees

Answer:

n = 28.8

Step-by-step explanation:

[tex]\frac{n}{18} =\frac{12}{7.5}[/tex]

n × 7.5 = 18 × 12

7.5n = 216

7.5n ÷ 7.5 = 216 ÷ 7.5

n = 28.8

Answer:

998, 1000, 1002

Step-by-step explanation:

Self explanatory, if you add the three numbers the sum is 3000.

Answer: 1/3 x + -1

Step-by-step explanation:

Answer:

y = 2x -1

Step-by-step explanation:

Use slope intercept. The line is rising by 2 points and the y-intercept lies at -1.

tep-by-step explanation: Ta

Answer:

Point R: (-2,0)

Point A: (-6,-2)

Point N: (-1,-3)

Step-by-step explanation:

Reflecting a shape across the y-axis means that the y value of the coordinate of the points would reverse its sign, meaning for eg a negative number would turn into a positive one or a positive would turn into a negative.

So in this case, point R would stay the same because it's on the y-axis but the two points A and N would change. Point A is (-6,2) so if we change the y coordinate we would get (-6,-2) and point N is (-1,3) so it would become (-1,-3). Therefore the answer is:

Point R: (-2,0)

Point A: (-6,-2)

Point N: (-1,-3)

Answer:

13

Step-by-step explanation:

60 - 47 = 13

Answer:

4√2

Step-by-step explanation:

If a square has a perimeter of 16,  then its side lengths are 4.

Use the pythagorean theorem to find the diagonal.

√32 can be simplified to 4√2.

The length of the diagonal of the square whose perimeter is 16 is 4√2

What is diagonal of the square?

The length of a diagonal is equal to the length of a side multiplied by the square root of 2

Given data ,

Let d be the diagonal of a square

Perimeter of square = 16

Perimeter of square = 4 x A

16 = 4 x A

A = 4

Therefore , diagonal of square is = 4√2

Hence ,The length of the diagonal of the square whose perimeter is 16 is 4√2

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Answer:

all of them are much larger except number 2 which is close to 1

Step-by-step explanation:

Answer:

⅙

Step-by-step explanation:

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

From the graph, coordinates of A and B are (-1, 1) and (5, 2) respectively.

Gradient of line AB

[tex] = \frac{2 - 1}{5 - ( - 1)} [/tex]

[tex] = \frac{1}{5 + 1} [/tex]

[tex] = \frac{1}{6} [/tex]

Answer: See explanation

Step-by-step explanation:

First and foremost, we should know that: 1 kilogram = 1,000,000 milligrams

Therefore, 1.08kg will be converted to milligram and this will be:

= 1.08 × 1,000,000 milligrams

= 1,080,000 milligrams

Since every plant gets 93mg of fertilizer, the number of plants that can be fertilized will be:

= 1,080,000 / 93

= 11612.903

Therefore, 11612 plants can be fertilized.

The fertilizer left over will be:

= 1,080,000 - (11612 × 93)

= 1080000mg - 1079916mg

= 84 mg

Answer:

(3.5, 3.25)

Step-by-step explanation:

Given the vertices of a triangle MNP as M(5,6) , N(0,3) , and P(4,-2).

Midpoint of MP is expressed as;

M(5,6) and P(4,-2).

Xmp = (5+4)/2

Xmp = 9/2

Xmp = 4.5

Ymp = (6-2)/2

Ymp = 4/2

Ymp = 2

Hence the midpoint of MP is at (4.5, 2)

Similarly for MN

M(5,6) , N(0,3)

Xmn = 5+0/2

Xmn = 5/2

Xmn = 2.5

Ymn = 6+3/2

Ymn = 9/2

Ymn = 4.5

Hence the midpoint of MN is (2.5, 4.5)

The coordinate of the midpoint of the line connecting the midpoints of sides MN and MP will be expressed as;

MN(2.5, 4.5) and  MP (4.5, 2)

M = {(2.5+4.5/2, 4.5+2/2)}

M = (7/2, 6.5/2)

M = (3.5, 3.25)

Hence the required midpoint coordinate is (3.5, 3.25)

Answer:y = -3x + 10

Step-by-step explanation:

To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:

where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.

Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:

So the slope between the two points is -3.

From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:

y = mx + b

plug in -3 for m (the slope) and 10 for b (the y-intercept)

y = -3x + 10

So now we have our equation.

I hope you find my answer and explanation helpful. Happy studying. :)

Answer:

7&8 both true

9 is false

Step-by-step explanation:

tghdhfshj

Answer:

True

True

False

Step-by-step explanation:

2(7) -3 = 14 -3 = 11

2(8) -3 = 16 -3 = 13

2(9) - 3 = 15

The answer has to be less than 15

Answer:

46.4miles/hour

d=46.4t

Step-by-step explanation:

Let's say d=at, where d = distance, a = the unit rate, and t = any given time.

We're given that Emma takes 1.25 hours to drive 58 miles. Plugging that into our formula of d=at, we get:

58 = 1.25a.

So, a = 46.4.

The formula now becomes d=46.4t.

Answer:

240 units^2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

178^2 units

Answer:

The original price was $142.5.

Step-by-step explanation:

40 ÷ 100 = 0.4

$57 ÷ 0.4 = $142.5

Therefore, $142.5 is our answer.

Answer:

142.5

Step-by-step explanation:

Let's say the original price of the store before the sale is x
so 40% x X = $57
40/100 (X ) =57
0.4 (X) = 57 ====> X = 57 / 0.4 = 142.5

The original price of the stove before the sale is  $ 142.5

Answer:

240/(v+40) + 1 > 240/v

Step-by-step explanation:

Both parties traveled a distance of 240 km.

Simpsons took off at average speed of 40 km/h & 1 hour later: 240/(v+40) + 1

Jacksons took off at average speed of v km/h:  240/v

An inequality in terms of v that models the situation is; [240/(v + 40)] + 1 > 240/v

We are told that distance travelled by both Jackson and Simpson is 240 km each.

Jacksons took off at average speed of v km/h. Thus, their time taken is 240/v

The Simpsons took off at an average speed of 40 km/h faster than Jacksons Speed. Since their start was delayed by an hour, then;

Time taken = [240/(v + 40)] + 1

Thus, the inequality that models the situation is; [240/(v + 40)] + 1> 240/v

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Answer:

1 cm

Step-by-step explanation:

To solve this problem we can use the Pythagorean theorem. In fact the diagonal of a rectangle is an hypotenuse of a right triangle, while the length is a leg. The width is the other leg

width = √2^2 - (√3)^2 = √4 - 3 = √1 = 1 cm

Answer:

C. 120 students

Step-by-step explanation:

10 + 15 + 20 +30 = 75%

100 - 75 = 25%

25% chose football which is 100 students

30% chose swimming

setup proportion:

25/100 = 30/x

25x = 100(30)

25x = 3000

x  = 120