For each part below, use the figure to fill in the blank.
If necessary, you may learn what the markings on a figure indicate.

(a) Find .
(b) Find .

Answer:

p = [tex]\frac{12}{7}[/tex]

Step-by-step explanation:

let the root be α then the other root is 3α

The sum of the roots of a quadratic equation is

α + 3α = - [tex]\frac{b}{a}[/tex] = - [tex]\frac{-8}{7}[/tex] = [tex]\frac{8}{7}[/tex]

Thus 4α = [tex]\frac{8}{7}[/tex] ( divide both sides by 4 )

α = [tex]\frac{2}{7}[/tex]

The product of the roots of a quadratic equation are

α × 3α = [tex]\frac{c}{a}[/tex] = [tex]\frac{p}{7}[/tex], that is

3α² = [tex]\frac{p}{7}[/tex] ← substitute value of α

3 × ([tex]\frac{2}{7}[/tex] )² = [tex]\frac{p}{7}[/tex]

3 × [tex]\frac{4}{49}[/tex] = [tex]\frac{p}{7}[/tex]

[tex]\frac{12}{49}[/tex] = [tex]\frac{p}{7}[/tex] ( cross- multiply )

49p = 84 ( divide both sides by 49 )

p = [tex]\frac{84}{49}[/tex] = [tex]\frac{12}{7}[/tex]

What is the question?

Step-by-step explanation:

Answer:

so you need to find the cost of one pen, which ever is cheaper pick that one

Answer:

D

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

This is a vague question so I understand why you reached out for help. Please not that my answer is not correct in case the problem is subliminally asking for the shortest distance, but there is no indication of that on the question prompt.

The graph is not drawn to scale.

The distance between the line and the point is 4 units.

The formula to find the distance between the two points is usually given by d=√((c-a)² + (d-b)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

Given: line: y= 3x-9

put y= 3

3 = 3x-9

12 = 3x

x= 4

and, the other point is (0, 3).

Now, the distance between theses points

D= √(4-0)² + (3 -)²

D= √4²

D= √16

D= 4 units

Hence, the distance is 4 units.

Learn more about Distance formula here:

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Answer:

x = 50

Step-by-step explanation:

the word bisects means that it cuts in half (this is how I understand it, not the official definition :D)

so that means

[tex]\angle XAB =\angle BAY\\\\2x=100\\\\x=50[/tex]

Answer:

75

Step-by-step explanation:

All the angles would add up to 360

145+55+35+55=285

Then:

360-285=75

>ZUW=75

Answer:

It would be 45 gallons for 6ft

15 gallons for 2 feet

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

If something is 20% off divide the number by 5 then take that number and minus it from the original number

For example

50 ÷ 5 =10

50 - 10 = 40

I hope this helps!

Answer:

A) 5G + 15N = 250

B) G + N = 30   We'll multiply B) by -5

B) -5G -5N = -150  then we add A)

A) 5G + 15N = 250

10N = 100

N = 10 bags of nuts ($150.00)

We put N=10 into A)

A) 5G + 150 = 250

A) 5G = 100

G = 20 Grapefruits ($100.00)

Step-by-step explanation:

Answer:

1. 9

2. 12

3. 26

Step-by-step explanation:

Answer:

1. 9

2. 12

3. 26

Step-by-step explanation:

An easy way to solve problems like this is to convert the percentage into a decimal, then multiply that decimal by the whole. For example, if I had the question "What is 10% of 100?", I would first convert the 10% to a decimal. 10% is the same as 10/100, which in decimal form is 0.1. I would then multiply 0.1 by  100 to find out how much 10% of 100 is. I get 10, so my answer is 10. Hope this helps!

Answer:

The set of coefficients asociated with the given polynomial in ascending order is [tex][C] = \{4,0,5\sqrt{3}\}[/tex].

Step-by-step explanation:

Let [tex]y = 5\sqrt{3}\cdot x^{2}+4[/tex], which is a polynomic function, defined as:

[tex]y = \Sigma_{i=0}^{n}c_{i}\cdot x^{i}[/tex] (1)

Where:

[tex]c_{i}[/tex] - i-th Coefficient.

[tex]x^{i}[/tex] - i-th Power.

[tex]n[/tex] - Grade of the polynomial.

We notice that given polynomial has degree 2 and can be rewritten by applying this definition:

[tex]y = 4 + 0\cdot x + 5\sqrt{3}\cdot x^{2}[/tex]

Then, the set of coefficients asociated with the given polynomial in ascending order is:

[tex][C] = \{4,0,5\sqrt{3}\}[/tex]

Answer:

where is the question

Step-by-step explanation:

Answer:

what's the question I can't see it

Answer:

The amount to be paid for insurance will be $ 937,500. In this context, it is reasonable that insurance costs increase proportionally, as the ride will have a greater use and, therefore, a greater exposure to risk.

Step-by-step explanation:

Given that the amusement park Diablo's Domain ride generated $ 250,000,000 in revenue, and the company paid $ 750,000 in insurance for that game ($ 3 for every $ 1,000 in profit), to determine the amount of insurance that should be paid if the winnings increase by 25% and the same proportion of 3/1000 to be paid is maintained, the following calculation must be made:

(250,000,000 x 1.25) x (3/1000) = X

312,500,000 x 0.003 = X

937,500 = X

Therefore, the amount to be paid for insurance will be $ 937,500.

Answer:

114

Step-by-step explanation:

break apart the shape into 2 smaller shapes and you'll get 15 and 4 for the 1st shape multiply them and you'll get 60. Then for the second shape you'll get 6 and 9 multiply them and you'll get 54. Last add them together and you get 114. (Sorry if I get it wrong)

Hey there!

You would probably need to know the dimensions and surface area of the cabinet, and the dimensions and area of the sticky notes.

Hope it helps and have an amazing day!

Answer:

6

Step-by-step explanation:

22 = 3x+4

subtract 4 from both sides

18 = 3x

divide both sides by 3

6 = x

Answer:It is The first one.

Step-by-step explanation:

Answer:

Center:(-5,3)

The center of a circle is a point from which all points on a circle are the same distance.

Radius:6

The radius of a circle is the length of a line segment from its center to its perimeter.

The radius is typically denoted as "r" or "R".

Diameter:12

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.

Circumference or (or Permieter) = 2*π*R = 2*3.14*6 = 37.6991118430775

The circumference of a circle is the distance around it.

Area:113.097335529233

Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.

Answer:

Walmart has the better deal.

Step-by-step explanation:

If you divide the amount of money and the packs they sell, Walmart is cheaper.

Walmart: 20/4 = 5

Kroger: 18/3 = 6

Answer:

It is Walmart 4 packs for 20$

Step-by-step explanation:

Answer:

The initial population is 200

The population after 10 years is 687

Step-by-step explanation:

Given

[tex]P(t) =\frac{800}{1+ 3e^{-0.29t.}}[/tex]

Solving (a): The initial population

Here:

[tex]t = 0[/tex]

Substitute 0 for t in P(t)

[tex]P(0) =\frac{800}{1+ 3e^{-0.29*0}}[/tex]

[tex]P(0) =\frac{800}{1+ 3e^{0}}[/tex]

[tex]P(0) =\frac{800}{1+ 3*1}[/tex]

[tex]P(0) =\frac{800}{1+ 3}[/tex]

[tex]P(0) =\frac{800}{4}[/tex]

[tex]P(0) =200[/tex]

The initial population is 200

Solving (b): Population after 10 years.

Here

[tex]t = 10[/tex]

Substitute 10 for t in P(t)

[tex]P(10) =\frac{800}{1+ 3e^{-0.29*10}}[/tex]

[tex]P(10) =\frac{800}{1+ 3e^{-2.9}}[/tex]

[tex]P(10) =\frac{800}{1+ 3*0.055}[/tex]

[tex]P(10) =\frac{800}{1+ 0.165}[/tex]

[tex]P(10) =\frac{800}{1.165}[/tex]

[tex]P(10) =687[/tex] -- approximated.

The population after 10 years is 687

Answer:

No

Step-by-step explanation:

If there is 2 pizzas and one i cut in tree slices and the other is cut in eight slices the 8 slices are goind to be smaller. Hope this helps

Answer:

The first step is to slove the numbers in the brackets

Step-by-step explanation:

[(x+7) x -2] / 4 = 7

-2(x+7) / 4 = 7

-2x-14 / 4 = 7

-2x-14 = 28

-2x = 42

x = -21

PEMDAS

The probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have a coin tossed, then a letter from the word INDIANAPOLIS is selected at random.

Probability for getting head or tell:

P(h) = 1/2

P(t) = 1/2

The word INDIANAPOLIS has 12 letters with 3I's, 2A's, 2N's, 1D's, 1P's, 1L's, 1O's, and 1S's

Probability for getting letter P:

P(getting letter P) = 1/12

P(heads, then letter P) = P(heads)×P(getting P) = (1/2)(1/12) = 1/24

P(tails) = 1/2

P(getting a vowel) = 6/12 = 1/2

P(tails then a vowel) = (1/2)(1/2) = 1/4

P(tails then N) = (1/2)(2/12) = 1/12

P(heads then D or I) = (1/2)(4/12) = 4/24 = 1/6

Thus, the probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.

Learn more about the probability here:

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Answer:

We know that the figure has a symmetry

angle 1 = angle 2

angle 1 =180°-(18°+90°) = 180° - 108°=72°

Therefore, angle 2 =72°.

Answer:

+14 degrees Celsius

Step-by-step explanation:

you have to find the difference from -12 to 2 degree Celsius