assignment dueee helppp 40 points

The quadratic equation to model the graph is y = x² - 6 · x + 14.

The picture presents us the graph of a parabola, whose algebraic expression is a quadratic equation. In accordance with fundamental theorem of algebra, a quadratic equation can be derived by knowing three distinct points on Cartesian plane.

If we know that (x, y) = (0, 14), (x, y) = (3, 5) and (x, y) = (6, 14), then the coefficients of the quadratic equation in standard form:

14 = c                                       (1)

5 = 9 · a + 3 · b + c                  (2)

14 = 36 · a + 6 · b + c              (3)

The solution of the system of linear equations is (a, b, c) = (1, - 6, 14). Hence, the quadratic equation to model the graph is y = x² - 6 · x + 14.

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Answer:

Step-by-step explanation:

V=Bh

Subsitute area of base by putting area of right triangle 1/2*8*15.

1380=1/2*8*15*h

Solve for value of h

h=23 cm

Option B is correct.

the time taken by Rita to travel 1875 miles is 4.5 days, by unitary method.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: Time taken to travel 1875 miles.

Finding:

By unitary method,

Time taken to travel 1250 miles = 3 days

Time taken to travel 1 mile = [tex]\frac{3}{1250}[/tex] days

Time taken to travel 1875 miles = [tex]\frac{3}{1250}(1875) = 4.5[/tex] days

Hence, the time taken by Rita to travel 1875 miles is 4.5 days, by unitary method.

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86 and 39

Step-by-step explanation:

let A is the first letter and B is the second number

A+B=125

A-B=47

2A=172

A=86

A+B=125

86+B=125

B=125-86

B=39

Answer: -6x+18

Step-by-step explanation:

-3(2x-6)=

-3*2x-(-3*6)=     ==> During distribution

-6x-(-18)=-6x+18    ==> After distribution property

According to the given statement the teenagers went to the zoo = 300

First order equations include linear equations. In the coordinate system, the linear equations have been defined for lines. A linear equation throughout one variable is one in which there is a homogeneous variable having degree 1 (i.e., only one variable). many  variables have present in a linear equation.

6a+4c+5t = 5300......................(equation)

a+c+t = 1200

3c-8t = 0

So,

Putting the value a= 1/6

6a+4c+5t = 5300

0.333c+0.167t = 316.667

3c-8t = 0

solving for the value of t:

6a+4c+5t = 5300

3c-8t = 0

1.056t = 316.667

So,

t = 316.66666667/1.05555556

= 300

According to the given statement the teenagers went to the zoo = 300.

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Answer:

7.8

-7.9

-17.40

1. 5.6

-2. 17.18

-5. 7.12

.8 15.22

Step-by-step explanation:

The number of times the bacterial cell is smaller than the amoeba cell is 1.6 * 10^-10

The given parameters are:

Bacteria cell = 4 x 10^-6 m

Amoeba cell = 2.5 x 10^4 m

The number of times (n) is calculated as

n = Amoeba cell/Bacteria cell

This gives

n = (4 x 10^-6 m)/(2.5 x 10^4 m)

This gives

n = 1.6 * 10^-10

Hence, the number of times the bacterial cell is smaller than the amoeba cell is 1.6 * 10^-10

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The greatest possible value of A + B is 600000.

The smallest possible value of A + B is 600000.

The greatest possible value of A - B is 0.

It should be noted that from the information, A and B are integers.

A = 300,000 to the nearest 100,000

B = 300,000 to the nearest 10,000

Therefore, the greatest possible value of A + B will be:

= 300,000 + 300,000

= 600000.

The smallest possible value of A + B is also, 600000.

The greatest possible value of A - B will be:

= 300,000 - 300,000

= 0.

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Answer:

5902

Step-by-step explanation:

that's what it tells with my calculations

Step-by-step explanation:

(a)

the sum of all internal angles in a polygon with n sides is

(n - 2)×180.

since in a regular polygon all angles are equally large, we get for one internal angle :

(n - 2)×180/n

for our hexagon this means the internal angle is

(6 - 2)×180/6 = 4×30 = 120°

(b)

the area of the hexagon is (as the graphic so nicely suggests) the sum of the areas of all 6 inner triangles.

the area of a triangle is

baseline × height / 2

baseline = 10 cm

the height (from the tip of the triangle down to the baseline in a right angle) is half of 17.3 cm, because these 17.3 cm are the sum of the 2 heights of 2 triangles placed tip to tip.

so, height = 17.3/2 = 8.65 cm

the area of one of the triangles is therefore

10 × 8.65 / 2 = 5 × 8.65 = 43.25 cm²

the total area of the hexagon is then

6 × 43.25 = 259.5 cm²

Answer:

Step-by-step explanation:

your welcome <3

The time taken when the person wants to burn 250 calories will be 42.37 minutes.

From the information, the 150-pound person uses 5.9 calories per minute when walking at a speed of 4 mph.

Therefore, the time taken when the person wants to burn 250 calories will be:

= Number of calories / 5.9

= 250 / 5.9

= 42.37 minutes.

Therefore, the time taken when the person wants to burn 250 calories will be 42.37 minutes.

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Answer:

The answer would be six batches of cookies.

Answer:

6 batches

Step-by-step explanation:

so 28 people including you

24 cookies per batch

5 cookies each

24 cookies in each batch, if you round that up it would be 30 and 30 x 5 = 150, so instead of rounding the amount of cookies, add 1 more to the amount you multiply 24 by

then it would be 24 x 6 = 144

now divide that by 28

144/28= 5 1/6

it would take 6 (7 if everyone gets whole numbers of cookies because It would be a fraction if not 7) batches to make sure everyone gets cookies

double check:

24 times 6 =  cookies

144/28= 5 1/6

a. Total amount of fencing needed = perimeter of the rectangular area excluding one length of the side close to the river = F = l + 2w

b. F = 44 ft

c. The width (w) = 45 ft.

Perimeter of rectangle = 2(length + width)

a. Total amount of fencing needed = perimeter of the rectangular area excluding one length of the side close to the river = l + 2w

F = l + 2w

b. w = 12 ft

l = 20 ft

Amount of fencing needed, F = l + 2w = 20 + 2(12)

F = 44 ft

c. F = 120 ft

l = 30 ft

Substitute F = 120 and l = 30 into F = l + 2w to solve for w

120 = 30 + 2w

120 - 30 = 2w

90 = 2w

90/2 = w

w = 45

The width (w) = 45 ft.

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Answer: 3x+25

Step-by-step explanation: Fraction 3/1 is the same as 3. Using PEMDAS we multiply the numbers in the parenthesis 3x+3x9-2, 3x+27-2, Answer=3x+25

Using the weighted mean, the coordinates of P are given as follows:

The weighted mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.

In this problem, we have these following points:

Applying the weighted mean, the coordinates of P are given as follows:

In which xA and yA are the coordinates x and y of point A, and xB and yB are the coordinates x and y of point B.

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Step-by-step explanation:

Área of a circle is given as

[tex]\pi \times {r}^{2} [/tex]

Therefore you can substitute the values as follows:

[tex]3.14 \times {6}^{2} = 113.09733552923[/tex]

Answer not rounded to any decimal place and used of 3.14 as said in the instruction

The area is:

Explanation:

To find the circle's area, use the formula [tex]\sf{A=\pi r^2}[/tex].

where:

A = area;

π = 3.14 (pi);

r = radius

Diagram:

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 6\ in}\end{picture}[/tex]

Plug in the data:

[tex]\sf{A=3.14\times6^2}[/tex]

[tex]\sf{A=3.14\times36}[/tex]

[tex]\sf{A=113.04\:in^2}[/tex]

Step-by-step explanation:

When you buy a company's stock, you're purchasing a small piece of that company, called a share. Investors purchase stocks in companies they think will go up in value. If that happens, the company's stock increases in value as well. The stock can then be sold for a profit.

Stocks are an investment that means you own a share in the company that issued the stock. Simply put, stocks are a way to build wealth. This is how ordinary people invest in some of the most successful companies in the world. For companies, stocks are a way to raise money to fund growth, products and other initiatives.

The coordinates of the point P that partitions the Line N, into the ratio 1:5 is; P(x, y) = (-14/6), (-9/6)

We are told that the point P partitions the Line N, into the ratio 1:5.

Now, the coordinates of N and M are;

N(-3, -2), M(1, 1)

The formula to find the coordinates that partition a line is;

P(x, y) = (bx1 + ax2)/(a + b), (by1 + ay2)/(a + b)

where the ratio is a:b. Thus;

Thus, the coordinates of point P here are calculated as;

P(x, y) = (5*-3 + 1*1)/(1 + 5), (5*-2 + 1*1)/(1 + 5)

P(x, y) = (-14/6), (-9/6)

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Answer:

9/28

Step-by-step explanation:

when you divide a fraction by fraction you need to multiply the left fraction by the opposite of right fraction so -7/9 becomes -9/7 and then you multiply -1/4 by -9/7. When you multiply negative with negative you get a positive value.

it's better to display fractions vertically like this to understand better

1

_

4

Answer:9/28

Step-by-step explanation:

Answer: 27 days 60 miles

Step-by-step explanation: 162/6=27

6x17=102 162-102=60

Step-by-step explanation:

no wizardry is needed, as the function is already there. we only need to use it.

(a)

find d, so that 162 - 6d = 0 (0 miles are left)

162 - 6d = 0

162 = 6d

d = 162/6 = 27

it will take them 27 days.

(b)

L(17) = 162 - 6×17 = 162 - 102 = 60 miles

after 17 days they still have to lay 60 miles.

The best definition of substitution is C. The process of replacing variables with numeric values.

It should be noted that substitution is the way that can be used to solve linear system algebraically.

Therefore, the definition of substitution is the process of replacing variables with numeric values.

In conclusion, the correct option is C.

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Answer:

RS = 5

QS = 18

TS = 10

TV = 15

Step-by-step explanation:

Given QV = 23 and QT = 8 and TR = RS = SV

now, we subtract the length of QT from the whole line, QV

23 - 8 = 15 then we divide this by 3 because TR = RS = SV so there must be 3 equal pieces

15 ÷ 3 = 5

RS = 5

QS = QT + TR + RS so

QS = 8 + 5 + 5

QS = 18

TS = TR + RS so

TS = 5 + 5 and

TV = TR + RS + SV

TV = 15

The number will be 3.

Let the number be represented by x.

Therefore based on the information, the equation will be:

(x × 4) - 1 = 1

4x - 1 = 11

Collect like terms

4x = 11 + 1

4x = 12

Divide

x = 12/4

x = 3

The number is 3.

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The temperature at 10,000 feet altitude will be 30.2 ° F.

We are given that:

As the airplane moves 1000 feet above the ground, the temperature drops by 1.6 ° F.

Now, the temperature on the ground is given as

Temperature on ground = 46.2 ° F

Now, the plane is at the altitude of 10,00 feet.

We need to tell the temperature at that altitude.

At 1000 feet, temperature drops by = 1.6 ° F.

At 10000 feet, the temperature will drop by = 1.6 ° F. × 10,000 / 1000

= 16 ° F.

So, the temperature will be = 46.2 ° F - 16 ° F

Temperature = 30.2 ° F

Therefore, the temperature at 10,000 feet altitude will be 30.2 ° F.

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Answer:

16

Step-by-step explanation:

x+(-6)=10 Take (-6) to the other side it becomes (+6).

x= 10 + 6

x=16

Answer:

Step-by-step explanation:

6

6. The measure of each angle is  m∠ E = 46°, m∠ D = 46°.

Angle of elevation from point A to B (∠ E ) is the angle between the horizontal line from A to B.

And, Angle of depression from B to A ( ∠D ) is the angle from the horizontally downward line from B to A.

As we can see that  all the horizontal lines are in parallel to each other,

Alternative Interior Angle :  When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

With the help of above theorem,

Angle of elevation from point A to B = Angle of depression from point B to A,

∠E and ∠D are interior opposite angles.

Then,  m ∠ E = m ∠ D

3x + 1 = 2(x + 8)  ( Given )

3x + 1 = 2x + 16

x = 15,

So, m∠ E = 3x + 1 = 45 + 1 = 46°

Hence,  m∠D = 46°

7. The measure of each angle is m∠ E = 20°, m∠ D = 20°.

By following same method as given above we will solve this question.

So, As we know that

Angle of elevation from point A to B = Angle of depression from point B to A,

∠E and ∠D are interior opposite angles.

Then,   m ∠ E = m ∠ D

5(x - 2) = (x + 14)

5x - 10 =  x + 14

  5x -x = 14 + 10

      4x = 24

        x = 24/4 = 6

So, m∠ D = (x + 14) = 6 + 14 = 20°

Hence, m ∠ E = 20°

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