Which statements best describes the difference between interest and debt

Answer:

The maximum value of the function P= 3x + 2y

There is an accompanying graph in this problem. In the graph, there are 4 points to consider. I'll just assign letters on each point.

Point O is found in x = 0 ; y = 0 or (0,0)

Point A is found in x = 8 ; y = 0 or (8,0)

Point B is found in x = 6 ; y = 5 or (6,5)

Point C is found in x = 0 ; y = 8 or (0,8)

We will substitute x and y in the equation by its values per point.

Point A = 3(8) + 2(0) = 24 + 0 = 24

Point B = 3(6) + 2(5) = 18 + 10 = 28

Point C = 3(0) + 2(8) = 0 + 16 = 16

its not greater than 50 grams. and the answer rounder to the four decimal places is 32.6106

Answer:

The system of equations is x + y = 12 and 2x + 1.5y = 20

The number of packages of the hamburger is 4

The number of packages of the hotdog is 8

Step-by-step explanation:

Assume that they bringing x packages of hamburger y packages of hotdog

∵ x represents the number of packages of hamburger

∵ y represents the number of packages of hotdog

∵ Jimenez family is bringing 12 packages of hamburger and hotdog buns

∴ x + y = 12 ⇒ (1)

∵ The hamburger buns cost $2.00 per package

∵ The hot-dog buns cost $1.50 per package

∵ They spent $20 on the buns

∴ 2x + 1.5y = 20 ⇒ (2)

The system of equations is x + y = 12 and 2x + 1.5y = 20

Let us solve it to find x and y

→ Multiply equation (1) by -1.5 to make the coefficients of y equal in

   values and different in signs to eliminate it

∵ -1.5(x) + -1.5(y) = -1.5(12)

∴ -1.5x - 1.5y = -18 ⇒ (3)

→ Add equations (2) and (3)

∵ (2x + -1.5) + (1.5y + -1.5y) = (20 + -18)

∴ 0.5x = 2

→ Divide both sides by 0.5 to find x

∴ x = 4

→ Substitute the value of x in equation (1) or (2) to find y

∵ 4 + y = 12

→ Subtract 4 from both sides

∴ 4 - 4 + y = 12 - 4

∴ y = 8

∴ The number of packages of the hamburger is 4

∴ The number of packages of the hotdog is 8

Answer:

A

Step-by-step explanation:

[tex]f(x) = (x + 2)^2(x-4)(x + 1)^3[/tex]

x+2=0

x+2-2=0-2

x=-2.....(x+2) was squared...exponent of 2...multiplicity of 2

x-4=0

x-4+4=0+4

x=4....(x-4) has no visible exponent which means it is essentially to the power of 1...multiplicity of 1

x+1=0

x+1-1=0-1

x=-1....(x+1) was cubed...exponent was 3...multiplicity of 3

The roots and their respective multiplicity are –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 thus option (A) is correct.

The roots of an equation are the solution of that equation, since an equation consists of hidden values of the variable so to determine them by different processes and then the resultant is called roots.

For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.

As per the given function,

f(x) = (x + 2)²(x - 4)(x + 1)³

The roots are the points at which the value of the function is zero.

f(x) = 0

(x + 2)²(x - 4)(x + 1)³ = 0

(x + 2)² = 0

x = -2 (with a multiplicity of 2)

(x - 4) = 0

x = 4  (with a multiplicity of 1)

(x + 1)³ = 0

x = -1  (with a multiplicity of 3)

Hence "The roots and their respective multiplicity are –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 thus option (A) is correct".

To learn more about the roots of equations,

https://brainly.com/question/12029673

#SPJ6

Answer:

the addition property of equality and then the division property of equality

Answer: C=2πr

r Radius

Answer:

Sub the values in the brackets of each question into the equation

Step-by-step explanation:

eg. c. f(0) = 2(0)^2 + 1 = 1

Answer:

-9

Step-by-step explanation:

Plug it in

g(x)=-x-4

g(5) meaning that x=5

Thus,

-5-4=-9

Hope it find it helpful :)

Answer:

-1

Step-by-step explanation:

Given g(x) = -x + 4, find g(5)

g(x) = -x+4

g(5) = -(5) + 4          Plug input into x

-5 + 4                       Negate

-1                              Add

Answer:

75 km/hr

Step-by-step explanation:

So, if a car travels 150 km in 2hours.

Then;

f(t=0) = 0

f(t = 2 hours) = 150 km

Therefore;

f'(c) (speedometer reading) = f(t=2)-f(t=0)/(2-0)

f'(c) (speedometer reading) = 150/2  km/hr

f'(c) (speedometer reading) = 75 km/hr

The answer is the second one

Explanation above

Answer:

The correct answer is "y = 3/4x"

Step-by-step explanation:

Slope-intercept form is y2-y1/x2-x1. If you place the points into slope-intercept form you get 6-3/8-4.  After reducing the fractions you will get 3/4. So the equation is y = 3/4x.

Answer:

Distributive Property

Step-by-step explanation:

[tex]x(8x+3y)\\We\ multiply\ the\ term\ outside\ brackets\ with\ terms\ inside\ the\ bracket\ equally,\\through\ the\ distributive\ property\ method\ .\\\\Hence,\\x(8x+3y)\\=8x*x+3y*x\\=8x^2+3xy[/tex]

Answer:

Step-by-step explanation:

P(-a<z<a)=0.60, from the symmetry of normal distribution, P(z<a) = 0.60+ (1-0.60)/2 =

0.60+0.4/2

0.60+0.2

= 0.8

Considering the standard normal distribution table, we have a = 0.80, thus

z =(x-m)/std = 0.80

the maximum x = m + 0.80×std =

Where m = 246300

Std = 15000

246300+0.80×15000

= 246300+12000

= 258300

For the minimum x

x = m - 0.80×std

x = 246300-0.80×15000

246300-12000

= 234300

Answer:

<DBC=31

Step-by-step explanation:

<ABC=<ABD+<DBC

125=94+<DBC

125-94=<DBC

31=<DBC

Answer:

8,13,21

Step-by-step explanation:

Basically,add the previous number to next number

Answer:8,13,21

Step-by-step explanation:

Answer:

$654.06

Step-by-step explanation:

ジオメトリヘルプミープリーズは、速くて正しい場合に最も頭が良くなります

関係のドメインは？ 1）関係の出力（y）値2）関係の入力（x）値3）入力値をペアにするポイントのセット…

f（x）= 16 – x ^ 2、g（x）= 4 –xとします。 （fg）（x）とその定義域を見つけます。

助けてくださいお願いします

助けてください

Answer: the answer would be 79.06

Step-by-step explanation:

Answer:

At least 401 chosen guests

Step-by-step explanation:

Represent those with same birth day with Same

So:

[tex]P(Same) > \frac{2}{3}[/tex]

Represent number of people with n

There are 365 days in a year and 364 days out of these days is not your birthday.

So, there the probability that n people do not share your birthday is [tex](\frac{364}{365})^n[/tex]

i.e.

[tex]P(none) = (\frac{364}{365})^n[/tex]

Solving further, we have that:

[tex]P(same) + P(none) = 1[/tex]

[tex]P(same) + (\frac{364}{365})^n = 1[/tex]

[tex]P(same) = 1 - (\frac{364}{365})^n[/tex]

We're calculating the probability that [tex]P(Same) > \frac{2}{3}[/tex].

So, we have:

[tex]1 - (\frac{364}{365})^n > \frac{2}{3}[/tex]

Collect Like Terms

[tex]1 - \frac{2}{3}> (\frac{364}{365})^n[/tex]

[tex]\frac{3-2}{3}> (\frac{364}{365})^n[/tex]

[tex]\frac{1}{3}> (\frac{364}{365})^n[/tex]

[tex]3^{-1} > (\frac{364}{365})^n[/tex]

Take natural logarithm (ln) of both sides

[tex]ln(3^{-1}) > ln((\frac{364}{365})^n)[/tex]

[tex]-ln\ 3 > n\ ln\ (\frac{364}{365})[/tex]

Apply laws of logarithm

[tex]-ln\ 3 > n\ (ln(364) - ln(365))[/tex]

Multiply through by -1

[tex]ln\ 3 < n\ (ln(365) - ln(364))[/tex]

Solve for n

[tex]\frac{ln\ 3}{(ln(365) - ln(364))} < n[/tex]

Reorder

[tex]n > \frac{ln\ 3}{(ln(365) - ln(364))}[/tex]

[tex]n > \frac{1.09861228867}{(5.89989735358 - 5.89715386764)}[/tex]

[tex]n> \frac{1.09861228867}{0.00274348594}[/tex]

[tex]n > 400.443928891[/tex]

[tex]n > 400[/tex] (approximated)

This implies that n = 401, 402, 403 .....

i.e

[tex]n \geq 401[/tex]

So, at least 401 people has to be invited

Answer:

slope= 4,

Step-by-step explanation:

y = 4x-6

hi

-4q= 52

   q = 52/ -4

    a =  -13

Answer:

-13

Step-by-step explanation:

-4q=52

divide both side by -4

-4q/-4=52/-4

q=-13

Answer:

She typed 32 words in her letter

Step-by-step explanation:

Assume that the letter has x words

∵ She typed x words in her letter

∵ She misspelled 8 words

∵ She misspelled 25% of the words she typed

∴ She misspelled 25% of x

→ That means 8 is equivalent to 25% of x

∴ 25% of x = 8

∴ 25% × x = 8

→ Change 25% to decimal by divide it by 100

∵ 25% = 25 ÷ 100 = 0.25

∴ 0.25 × x = 8

∴ 0.25x = 8

→ Divide both sides by 0.25

∵ [tex]\frac{0.25x}{0.25}[/tex] = [tex]\frac{8}{0.25}[/tex]

∴ x = 32

∵ x represents the number of words that she typed in the letter

∴ She typed 32 words in her letter

Answer: 7.20$

Step-by-step explanation:

Since there are five people over all, and three of them bought shoes for 2$, you would take 2$ Times that by 3 = 6$, now take that 6$ and subtract that by the 42$, leaving you with 36$ left. Take that 36$ and divide it among the 5 people and you get 7.20$ for a lane

Answer:

Transformations of function f(x) = 1/2(-1/4(x-3)) + 1 :

Answer:

A. 8.5 N

Step-by-step explanation: F = 8.5 N

Answer: The Answer is 0

Step-by-step explanation:

The key here is combining like terms. Here:

1) 5x-7=2x+1+3x

2) 5x-7=5x+1

Then you add 7 to both sides anywhere that there is no variable. You also subtract 5x to the other 5x

3) 0x=8

When you divide by zero on both sides, your answer should be 0

Answer:

ok does that mean me dont get brainliest

Step-by-step explanation:

Answer:

b = − 3

m = 5 ( 39 + 2 m ) /23