Adjust the window so you can find all of the points of intersection for the system of equations.

What are the roots of the original polynomial equation? Check all that apply.

Answers

Answer 1

Answer:

-4, 3 and 6

Step-by-step explanation:

Given

See attachment for complete question

Required

The roots of the polynomial

We have:

[tex]y = x^3 + 72[/tex]

[tex]y = 5x^2 + 18x[/tex]

When the above functions are plotted, the x-coordinate of the point of intersection are: -4, 3 and 6

Hence, the roots are: -4, 3 and 6

Adjust The Window So You Can Find All Of The Points Of Intersection For The System Of Equations.What
Answer 2

Answer:

it is -4, 3, 6.


Related Questions

find two consecutive whole number such that five times the greater number makes 59 hint let the number be x and x + 1​

Answers

Answer:

Step-by-step explanation:

Let the smaller number = x

Let the larger number = x + 1

5*(x + 1) = 59

You can do this. The problem says that when the larger number is multiplied by 5, you get 59. You are also told that the numbers are whole numbers. 59 divided by 5 leaves a remainder which is not a whole number.

If the cost of a dozen donuts is $4.80
and a bag of 16 rolls costs $4.80, what
is the cost of 3 donuts and 3 rolls?
(A) $2.40
(B) $0.70
(C) $7.20
(D) $2.10
(E) $9.60

Answers

Ok so first, we have to find out how much 1 donut costs. Which is very easy. All we have to do is: 12 which is a dozen divided by $4.80.
12 divided by 4.80 = 2.5
So each donut costs $2.5
Now we have to do the same thing for the rolls, 16 divided by $4.80.
16 divided by 4.80 = $3.33
So each roll costs $3.33.
Now we’ll find the price of 3 donuts:
3 x 2.5 = $7.5 for 3 donuts
Now the price of 3 rolls:
3 x 3.33 = $9.99


Now add the prices:
9.99 + 7.5 = $17. 49

$17.49 is the answer
Each donut is .40 cents each
Each roll is .30 cents each
.40 x 3 = 1.20
.30 x 3 = .90
1.20 + .90 = 2.10
D. Is the answer

A house owner wishes to cover their roof with solar panels. Each solar panel is of the following size. The roof section is rectangular 7.2 m by 4.4 m. Each solar panel measures 1400 mm by 850 mm. There needs to be at least a 30 cm gap left at each edge of the roof section. The house owner thinks he can have at least 15 solar panels fitted to the roof section. Can u agree? If yes, show the working.

Answers

Answer:

Hello Arjun, The Answer Is 26.54 panels.

Explanation:

Dimensions of roof section: 7.2m By 4.4m

Area Of Roof: 7.2*4.4 = 31.68m²

Dimension of solar panels: 1400mm by 850mm

= 1400÷1000 by 850÷1000 = 1.4m by 0.85m

So We can say that: Area each solar panel = 1.4 * 0.85 = 1.19m²

The 30 CM Gap On All Edges Gives Us A Square Of Side = 30 Cm = 0.3 M

So, The Area Of Gap Left = 0.3*0.3 = 0.9m²

Now, The Total Area That Can Be Covered Is 31.68-0.9 = 31.59m²

So, Now we Divide The area remaining with the area of the solar panel that is: 31.59 ÷ 1.19m² = 26.54 Panels...

I Could Only Understand This Much  From The HW Ma'am Gave, So This Was My Answer...

Hope It Helps!

y=x+5 y=-2x-4 I need help with this problem will you help me?

Answers

Answer:

x = - 3, y = 2

Step-by-step explanation:

Given the 2 equations

y = x + 5 → (1)

y = - 2x - 4 → (2)

Substitute y = x + 5 into (2)

x + 5 = - 2x - 4 ( add 2x to both sides )

3x + 5 = - 4 ( subtract 5 from both sides )

3x = - 9 ( divide both sides by 3 )

x = - 3

Substitute x = - 3 into either of the 2 equations and evaluate for y

Substituting into (1)

y = - 3 + 5 = 2

Please I need help someone answer asap

Answers

Answer:

C -2,-1

Step-by-step explanation:

I pulled up a graph of a circle. -2, -1 is outside the circle

plsssssssssss helppppppppp i want it right now pls​

Answers

Answer:

hope this helps you

have a great day

Lighthouse B is 10 miles west of lighthouse A. A boat leaves A and sails 5miles. At this​ time, it is sighted from B. If the bearing of the boat from B is N65​E, how far from B is the​ boat?

Answers

 The distance of B from the boat is 8.99 miles

To calculate  the distance of the the boat from B we use cosine rule.

What is cosine rule?

Cosine rule is a formula use to find one side of a triangle if two sides and an angle is given.

Cosine rule formula can be stated as

R² = P²+Q²-2PQcos∅.............. Equation 1

From the question,

⇒ Given:

Q = 5 mileP = 10 miles∅ = 65°

⇒ Substitute these values into equation 1 and solve for R

R² = 5²+10²-(2×5×10)cos65°R² = 125-(100×0.442)R² = 125-44.2R² = 80.8R = √(80.0)R = 8.99 miles

Hence, the distance of B from the boat is 8.99 miles.

Learn more about cosine rule here: https://brainly.com/question/23720007

#SPJ1

Anais bought 2% yards of ribbon. She had 1 feet 6 inches of ribbon left after trimming some curtains. How many
inches of ribbon did Anais use to trim the curtains?

Answers

Answer:

18 inches of ribbon

Step-by-step explanation:

that is the procedure above

Please help me Find PA.

Answers

PO is 5 by using Pythagorean theorems and it forming a 3,4,5 triangle so PA is PO + OA so it is 8

A chair which was produced at a cost of Rs 450 was sold at a profit of 22%. What was the profit?​

Answers

Answer:

RS 99

Step-by-step explanation:

%p = p/cp ×100

22 = p/450 × 100

22 = 100p/450

cross multiply

22 × 450 =100p

9900 = 100p

100p =9900

p = 9900/100

p = 99

Complete this equations,( show your work).

* I re-wrote some of the questions below them so u can read ' em better. ty​

Answers

Answer:

21 is: [tex]\frac{4}{9}[/tex] x + [tex]\frac{31}{72}[/tex]

22 is: 4 [tex]\frac{39}{44}[/tex]

23 is:[tex]\frac{1}{4}[/tex] x + [tex]\frac{31}{72}[/tex]

24 is:  [tex]\frac{-2}{11}[/tex] x + [tex]\frac{7}{11}[/tex]

Step-by-step explanation: Hope this helps and good luck mark brainliest if u want :)

WILL GIVE BRAINLIEST, HELP QUICK!!

Answers

The answer is A

It is A because it is 4 units squares away so it has to be A.

Hope this helps :))))

Answer:

the answer is 5 units

Step-by-step explanation:

You can look at the location of B and C and see that the line goes from 2 to -2 which is 5 units apart. -2, -1, 0, 1, 2

HELP ME GUYS PLEASE , I AM ILLITERATE
the cross section of a prism is a triangle having base angles each 60 degree . if the height of prism is 6√3 cm and volume 162cm^3 , find the side of the cross - section.

Answers

Answer:

6

Step-by-step explanation:

volume of prism = area of cross section * height

area of cross section =162/6√3 =27/√3

since the base angles are each 60 degrees, the triangle is an equilateral triangle. for equilateral triangles, area =(√3 * side^2)/4

hence,

27/√3 = (√3 * side^2)/4

side^2 = (27/√3) / (√3/4) = 108/3 = 36

side = ±√36 = 6 or -6 (rej as side >0)

Sabina bought a samsung mobile set for rs.15750 after getting the discount of 10%. Find the price of mobile set before discount.​

Answers

Answer:

Step-by-step explanation:

90/100 * x = 15750

0.9 x = 15750

x = 15750/0.9

x = 17500

Now check this by taking 10% off. Do you get 15750?

Let's see

10/100 of 17500 = 1750

Subtract that from 17500

17500 - 1750 = 15750 which is exactly what you should get.

Find the discernment and the numbers of the number of real roots for this equation.
x^2+3x+8=0

Answers

Answer:  2 distinct complex solutions (ie non real solutions).

Work Shown:

The given equation is in the form ax^2+bx+c = 0, so

a = 1, b = 3, c = 8

Plug those into the formula below to find the discriminant

D = b^2 - 4ac

D = 3^2 - 4(1)(8)

D = -23

The discriminant is negative, so we get two nonreal solutions. The two solutions are complex numbers in the form a+bi, where a & b are real numbers and [tex]i = \sqrt{-1}[/tex]. The two solutions are different from one another.

Answer:

Discriminant: -23

Number of real roots: 0

Step-by-step explanation:

For a quadratic in standard form [tex]ax^2+bx+c[/tex], the discriminant is given by [tex]b^2-4ac[/tex].

In [tex]x^2+3x+8[/tex], assign:

[tex]a\implies 1[/tex] [tex]b\implies 3[/tex] [tex]c\implies 8[/tex]  

The discriminant is therefore:

[tex]3^2-4(1)(8)=9-32=\boxed{-23}[/tex]

For any quadratic:

If the discriminant is greater than 0, the quadratic has two real rootsIf the discriminant is equal to 0, the quadratic has one real rootIf the discriminant is less than 0, the quadratic as no real roots

Since the quadratic in the question has a discriminant less than 0, there are no real solutions to this quadratic.

Find the height of the cylinder.

13 cm width
17 cm diagonally length
how much is the hight?

Answers

Answer:

The height is 0.014

Step-by-step explanation:

Use the formula, V=πr2h

h=V

πr2=13

π·172≈0.014

The ratio of grapes in a fruit salad to people it will serve is 13/3. How many people will be served if Deb is using 30 grapes?

Answers

Answer:

6 + 12/13, or 90/13 people will be served

Step-by-step explanation:

Ratios stay the same, no matter the quantity.

Given this, we can say that (13 grapes / 3 people) = (30 grapes / x amount of people)

13/3 = 30 / x

multiply both sides by 3 to remove a denominator

13 = 30 * 3 /x

multiply both sides by x to remove the other denonimator

13 * x = 30 * 3

13 * x = 90

divide both sides by 13 to isolate the x

x = 90/13 = 6 + 12/13 ≈6.92 people

George has opened a new store and he is monitoring its success closely. He has found that this store’s revenue each month can be modeled by r(x)=x2+6x+10 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars. He has also found that his expenses each month can be modeled by c(x)=x2−4x+5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars. What does (r−c)(4) mean about George's new store?

Answers

Answer:

(r - c)(4), is the profit made in George's new store after 4 months which is $4,500

Step-by-step explanation:

The given parameters for George's store are;

The amount of revenue George makes each month, r(x) = x² + 6·x + 10

The expenses each month, c(x) = x² - 4·x + 5

Where;

x = The number of months the store has opened the doors

r(x) and c(x) are measured in hundreds of dollars

The amount of profit from the store, P = Revenue - Expenses

Therefore, the profit made on a given month, x, is P(x), which is found as follows;

P(x) = r(x) - c(x) = (r - c)(x)

Therefore, (r - c)(4) = P(4), is the profit realized from George's new store, after 4 months

(r - c)(4) = 4² + 6·4 + 10 - (4² - 4·4 + 5) = 45

Answer:

The new store will have a profit of $4500 after its fourth month in business.

Step-by-step explanation:

I took the quiz

9 is subtracted from 5 times 3 and 10 is added

Answers

Answer:

-16

Step-by-step explanation:

9 - 5 x 3 + 10
9 - 15 + 10
9 - 25
-16
9-5 times 3= -6 +10=4

Given g (n) = 3n + 2, f (n) = 2n^2 + 5
Find g (f (2))

a)8
b)41
c)133
d)21

Answers

Answer:

g(f(2)) = 41

b)41

Step-by-step explanation:

g(f(2)) = 41

f(2)= 2(2²) + 5 = 13

So g(f(2)) → g(n = 13)

g(n = 13)→ 3(13) + 2 = 41

If
f(x) = x2 + 2x - 4
and
g(x) = 3x + 1
Find
f(g(x)) = [? ]x2 + [ ]+х

Answers

Answer:

f(g(x)) = 9x^2 +12x -1

Step-by-step explanation:

f(g(x)) means you replace the x in f(x) with g(x), which is 3x + 1:

(3x+1)^2 + 2(3x+1) - 4

then expand and simplify:

(3x+1)(3x+1) + 6x+2 - 4

9x^2+6x+1 + 6x+2 - 4

and then collect all like terms:

9x^2

6x + 6x = 12x

1 + 2 - 4 = -1

Please help me ASAP

Answers

Answer:

4

Step-by-step explanation:

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

36+6x = 25+5x+15

6x-5x=40-36

x=4

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

See this attachment

x=4

5 and 6 What are the first five terms of the recursive sequence?

Answers

Answer:

4th option and 3rd option

Step-by-step explanation:

Using the recursive rule and a₁ = 7 , then

a₂ = 3a₁ - 6 = (3 × 7) - 6 = 21 - 6 = 15

a₃ = 3a₂ - 6 = (3 × 15) - 6 = 45 - 6 = 39

a₄ = 3a₃ - 6 = (3 × 39) - 6 = 117 - 6 = 111

a₅ = 3a₄ - 6 = (3 × 111) - 6 = 333 - 6 = 327

The first 5 terms are 7, 15, 39, 111, 327

---------------------------------------------------------------------

Similarly using the recursive rule and a₁ = 9

a₂ = 3a₁ + 3 = (3 × 9) + 3 = 27 + 3 = 30

a₃ = 3a₂ + 3 = (3 × 30) + 3 = 90 + 3 = 93

a₄ = 3a₃ + 3 = (3 × 93) + 3 = 279 + 3 = 282

a₅ = 3a₄ + 3 = (3 × 282) + 3 = 846 + 3 = 849

The first 5 terms are 9, 30, 93, 282, 849

Please help you gonna help

Answers

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

The equation would be

[tex]\frac{1}{3} +\frac{1}{9} =total[/tex]

First, change the denominator to a common multiple.

The LCM (least common multiple) of 3 and 9 is 9.

[tex]\frac{3}{9} +\frac{1}{9} =total[/tex]

Add to solve.

[tex]\frac{4}{9}[/tex]

I hope this helps!

Answer:

4/9

Step-by-step explanation:

We need to add the amounts together

1/3 + 1/9

Getting a common denominator

1/3 *3/3   + 1/9

3/9 + 1/9

4/9

15 points f (x) = 1/x+5 -1. Find the inverse of (x) and its domain.

Answers

Answer:

D

Step-by-step explanation:

[tex]f(x)=\frac{1}{x+5} -1\\let~f(x)=y\\y=\frac{1}{x+5} -1\\flip~x~and~y\\x=\frac{1}{y+5} -1\\x+1=\frac{1}{y+5} \\y+5=\frac{1}{x+1} \\y=\frac{1}{x+1} -5\\f^{-1}(x)=\frac{1}{x+1} -5\\x+1\neq 0\\x\neq -1[/tex]

Can someone please help me

Answers

Answer: B. 4 × 10⁻⁵

Step-by-step explanation:

0.00003762 = 3.762 × 10⁻⁵ ≈ 4 × 10⁻⁵

Answer:

b

Step-by-step explanation:

[tex]4 \times {10}^{ - 5} = 4 \times \frac{1}{100000} [/tex]

HELP ASAP

Find the equation of the line:

Answers

Answer:

y=-3.5

Step-by-step explanation

Answer:

y = -3.5

Step-by-step explanation:

This is a horizontal line ( the y value does not change)

Horizontal lines are of the form

y=   constant

y = -3.5

help me thankyouuuuuuu

Answers

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Answer:

210 * 1.1 = 231

48*1.1 = 52.8

Step-by-step explanation:

Suppose the function of h is defined, for all real numbers as follows: (f) x = -3 if x is <) 3 if x is =0 -2 if x is > 0

Answers

Answer:

See explanation

Step-by-step explanation:

The question is not properly presented; I will answer this with the following similar question.

[tex]h(x) = -\frac{1}{3}x^2 + 4[/tex] --- [tex]x \ne 2[/tex]

[tex]h(x) = -4[/tex] --- [tex]x= 2[/tex]

Required

[tex]h(-5)\ \&\ h(2)[/tex]

Calculating h(-5)

This implies that: x = -5

[tex]-5 \ne 2[/tex]

So, we make use of:

[tex]h(x) = -\frac{1}{3}x^2 + 4[/tex]

Substitute -5 for x

[tex]h(-5) = -\frac{1}{3} * (-5)^2 + 4[/tex]

[tex]h(-5) = -\frac{1}{3} * 25 + 4[/tex]

[tex]h(-5) = -\frac{25}{3} + 4[/tex]

Take LCM

[tex]h(-5) = \frac{-25+12}{3}[/tex]

[tex]h(-5) = -\frac{13}{3}[/tex]

Calculating h(2)

This implies that: x = 2

[tex]2 = 2[/tex]

So, we make use of:

[tex]h(x) = -4[/tex]

Substitute 2 for x

[tex]h(2) = -4[/tex]

Use the above explanation to answer your question

Jessica ate 7 /10 of her orange before lunch and 1/10 of her orange after lunch. How much of her orange did she eat?

Answers

Answer:

8/10

Step-by-step explanation:

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