avocados cost $3 per pound. write and graph an equation in two variables that represents the cost of buying avocados

Answers

Answer 1

Answer: pounds will be represented by x and the cost will be represented by y. The equation is Y=3x. For the graph just use substition for x and then calculate the outcome and graph it.

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Sally needs to have some drywall and insulation work done in her house. She has received a quote from a professional drywall contractor to complete her repairs for $1,200. Her neighbor Steve says he can complete the same job for $800. Sally could use a credit card to pay the contractor, but Steve can only accept cash. Sally’s credit card has a 14% APR for credit purchases and a 32% interest rate for cash advances. Expecting to pay $50 of the principle plus appropriate interest each month, Sally estimates that it would take her 24 months to pay off the contractor balance and 16 months to pay off the cash advance balance. In the end, would it be cheaper for Sally to hire the contractor or her neighbor to complete the repairs?

Answers

Answer:

Sally can chose Steve to work with.

Step-by-step explanation:

We will calculate EMI for both the contractor and Steve.

Contractor:

EMI formula = $(p*r*(1+r)^(n) )/((1+r)^(n)-1 )$

p = 1200

r = 14/12/100=0.0116

n = 24

Putting values in formula we get,

$(1200*0.0116*(1.0116)^(24) )/((1.0116)^(24)-1 )$

= $57.62

So, for $1200 at 14% for 24 months, Sally would have to pay $57.62 per month, or 57.62*24 = $1382.88 after 24 months.

Steve:

Similarly putting these values : (p=800, r=32/12/100= 0.0266 and n=16) in above formula we get, $62.08 per month or 62.08*16= $993.28 after 16 months.

Hence, even with the higher interest rate, Sally would pay:

1382.88-993.28 = $389.60 less if she chooses to work with Steve.

Though the monthly payments are almost same for the given timelines, still Sally can chose Steve.

It said the correct answer was the contractor

Which polynomials are prime? Check all that apply.15x2 + 10x – 9x + 7
20x2 – 12x + 30x – 18
6x3 + 14x2 – 12x – 28
8x3 + 20x2 + 3x + 12
11x4 + 4x2 – 6x2 – 16

Answers

Prime polynomials are those polynomials that are not factored into lower degree polynomial. The options that are prime polynomials are 1), 4), and 5).

Evaluate all options in order to check that the polynomials are prime or not:

1). $15x^2 +10x -9x+7$

5x(3x + 2) - (9x - 7)

So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

2). $20x^2-12x+30x-18$

$4x(5x - 3)+6(5x-3)$

(4x + 6)(5x - 3)

So, this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

3). $6x^3+14x^2-12x-28$

$2x^2(3x+7)-4(3x+7)$

$(2x^2-4)(3x+7)$

So, this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

4). $8x^3+20x^2+3x+12$

$4x^2(2x+5)+(3x+20)$

So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

5). $11x^4+4x^2-6x^2-16$

$x^2(11x^2+4)-2(3x^2+8)$

So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

For more information, refer to the link given below:

brainly.com/question/20121808

Answer:

The prime polynomials are 1, 4 and 5

Step-by-step explanation:

Given some polynomials we have to classify the polynomials prime or not.

Prime polynomials are the polynomial with integer coefficients that cannot be factored into lower degree polynomials.

$15x^2 + 10x - 9x + 7$

⇒ $5(3x+2)-(9x-7)$

can't be factored into lower degree polynomial ∴ prime polynomial.

$20x^2 - 12x + 30x - 18$

⇒ $4x(5x-3)+6(5x-3)$

⇒ $(4x+6)(5x-3)$

hence, not a prime polynomial.

$6x^3 + 14x^2 - 12x - 28$

⇒ $2x^2(3x+7)-4(3x+7)$

⇒ $(2x^2-4)(3x+7)$

hence, not a prime polynomial.

$8x^3 + 20x^2 + 3x + 12$

⇒ $4x^2(2x+5)+(3x+20)$

can't be factored into lower degree polynomial ∴ prime polynomial.

$11x^4 + 4x^2 - 6x^2 - 16$

⇒ $x^2(11x^2+4)-2(3x^2+8)$

can't be factored into lower degree polynomial ∴ prime polynomial.

The prime polynomials are 1, 4 and 5

Which situation shows a constant rate of change?A. The outside temperature compared with the time of day

B. The cost of a bunch of grapes compared with its weight

C. The height of a bird over time

D. The number of tickets sold compared with the number of minutes before a football game

Answers

The answer is most likely B. :)

Suppose y varies directly with x, and y = 8 when x = –6. What direct variation equation relates x and y? What is the value of y when x = –2?A. y = –0.75x; 1.50
B. y = –1.33x; 2.67
C. y = 1.33x; –2.67
D. y = 0.13x; –0.25

Answers

Given:
y varies directly with x
y = 8 when x = -6

what is the value of y when x = -2?

y = kx

we need to get the constant of variation.
8 = k(-6)
8/-6 = k
4/-3 = k or - 1 1/3

y = -4/3 (-2)
y = (-4*-2) / 3
y = 8 / 3
y = 2 2/3 OR 2.67

The correct answer is Choice B. y = -1.33x ; 2.67

Given the two triangles are similar, what are the values of q and t? Round to the nearest hundredth.

Answers

Answer:

t = 7.5 cm , q= 7.5 cm.

Step-by-step explanation:

Given : Two similar triangle .

To find : what are the values of q and t ,Round to the nearest hundredth.

Solution : We have given Two similar triangle GHI and DEF.

Property of two similar triangle : The ratios of the lengths of their corresponding sides are equal.

Corresponding sides HI ≅ EF and GI≅DF. GH≅DE

HI = t , EF = 4.5 , GI = 12.5 , DF = q , Gh = 10 , DE = 6

$(t)/(4.5) = (10)/(6)$ .

On cross multiplication

t * 6 = 4.5 * 10.

t * 6 = 45 .

On dividing both sides by 6

t = 7.5 cm.

Now, for q

$(q)/(12.5) = (6)/(10)$ .

On cross multiplication

q * 10 = 12.5 * 6.

q * 10 = 75.0

On dividing both sides by 10

q= 7.5 cm.

Therefore, t = 7.5 cm , q= 7.5 cm.

Set up proportions. 6/10 = 4.5/t. Cross multiply 6t = 45. Divide both sides of the equation by 6 and get t = 7.5.
Next proportion is q/12.5 = 6/10. Cross multiply 10q = 750. Divide both sides of the equation by 10 and get q = 7,5.

Plan a recipe for 38 minutes of long distance calling using plan b she paid $4.13 for 59 minutes find the unit rate for each which plan cost more per minute