Solve the system of equations.
14r + 5y = 31
2r - 3y = -29

Answer

(y-8)x(3y^+7)

Step-by-step explanation:

3y^2(y-8)+7(y-8)

(y-8)x(3y^+7)

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 3y²(y-8)+7(y-8) can be rewritten by factoring out (y-8) as (3y²+7)(y-8).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be rewritten by factoring out (y-8) as,

3y²(y-8) + 7(y-8)

= (3y²+7)(y-8)

Hence, The given expression 3y²(y-8)+7(y-8) can be rewritten by factoring out (y-8) as (3y²+7)(y-8).

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Answer:

X is the variable and x means multiplication symbol.

X + (X x 3 - 1) + (X x 3 - 1) - 4) ≥ 45 is the answer I got.

The answer to that inequality would be

X ≥ 7

Step-by-step explanation:

I am not good at math I just tried my best sorr if it is wrong.

Answer:

Diamonds: 20 Emeralds: 1 Rubies: 24

Step-by-step explanation:

45 = Total

Diamonds = 20 (4 less than rubies)

Emeralds = 1 (made into the smallest number)

Rubies = 24 (4 more than diamonds)

Tip! To help find the answer I divided 45 into three groups so the diamonds, emeralds, and rubies all started with 15. I then started to work it into place where diamonds were ALWAYS 4 less than rubies and just kept taking away from emeralds.

<3 Enjoy,

    Dea

7

a full rotation is 360°

divide 2520 by 360 it gives u 7.

7×360=2520

There are 7 complete rotations at 2520 degrees. Then the correct option is C.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

A rotation by 2520°.

Then the number of the rotations will be

⇒ 2520° / 360°

⇒ 7 rotation

Thus, the correct option is C.

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Answer:

45

Step-by-step explanation:

Just plug in 12 wherever "z" is so,

[tex]5^2-\frac{12}{3} +2(12)[/tex]    simplify the equation  ⇒ [tex]25-4+24[/tex]

25-4=21

21+24=45

subtract and add as needed and finally our answer is

45

Answer: x(x-7)+y(7-y).

X and Y are common factors so you can factor both out and get this.

Answer:

B= 2xy

Example:  

2 delivery persons carry a total of 4 bags of groceries up the stairs. they can each carry  1 bag at a time, and they make 2 trips up the stairs.

The equation relaated to x, B, and y is B= 2xy.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

2 delivery persons carry a total of 4 bags of groceries up the stairs. they can each carry 1 bag at a time, and they make 2 trips up the stairs. Then the equation is,

B =2xy

Here, B = Total Bags , x = Delivery persons and y = Number of bags.

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Answer:

9.333333

Step-by-step explanation:

28/3=28(1/3)

Answer

About 9

Explanation

1/3 times 28 is 9 1/3.

9 1/3 is closest to 9.

Answer:

15 oatmeal cookies.

Answer:

A

Step-by-step explanation:

9/3 is 3

36-3 is 33

Answer:

(a) The total expenditures per household in the year 2008 were approximately $3,080.

(b) The spending reached $2875 per household in 2006.

Step-by-step explanation:

Note: This question is not complete, and the part c is not another question but the same question as part a. The complete question is therefore provided before answering the question as follows:

Out of-pocket spending in a country for health care increased between 2003 and 2008. The function f(x) = 2574e^(0.0359x) models average annual expenditures per household, in dollars. In this model, x represents the year, where x = 0 corresponds to 2003.

(a) Estimate out-of-pocket household spending on health care in 2008.

(b) Determine the year when spending reached $2875 per household

The explanation to the answer is now given as follows:

(a) Estimate out-of-pocket household spending on health care in 2008.

Given;

f(x) = 2574e^(0.0359x) ........................ (1)

Since x = 0 corresponds to 2003; by counting from 2003 to 2008, it implies that x = 5 corresponds to 2008.

Substituting x = 5 into equation (1) to estimate out-of-pocket household spending on health care in 2008, we have:

f(6) = 2574e^(0.0359 * 5)

f(6) = 2574 * 1.19661890406748

f(6) = 3,080.09705906969

Rounding to the nearest dollar as needed, we have:

f(6) = $3,080

Therefore, the total expenditures per household in the year 2008 were approximately $3,080.

(b) Determine the year when spending reached $2875 per household

This can be determined using equation (1) in part a by equating f(x) to $2875 solve for x as follows:

2875 = 2574e^(0.0359x)

2875 /2574 = e^(0.0359x)

1.11693861693862 = e^(0.0359x)

Taking the natural log of both sides, we have:

ln(1.11693861693862) = ln(e^(0.0359x))

0.110591565075382 = 0.0359x

x = 0.110591565075382 / 0.0359

x = 3.0805449881722

Approximating to a whole number, we have:

x = 3

Since x = 0 corresponds to 2003; by counting from 2003, x = 3 corresponds to 2006.

Therefore, the spending reached $2875 per household in 2006.

An exponential model can be found when two data points from the model are known.

The total expenditures per household in the year 2008 were near $3,080.

The spending reached $2875 per household in year 2006

(a). Out of-pocket spending in a country for health care given by function,         [tex]f(x) = 2574e^{0.0359x}[/tex]

Since [tex]x = 0[/tex] corresponds to 2003, Similarly, x = 5 corresponds to 2008.

Substituting x = 5 into above function to estimate out-of-pocket household spending on health care in 2008

[tex]f(5) = 2574e^{0.0359*5} \\\\f(5)=3080[/tex]

f(5) = $3,080

Therefore, the total expenditures per household in the year 2008 were approximately $3,080.

(b). To determine the year when spending reached $2875 per household

 [tex]2875 = 2574e^{0.0359x} \\\\2875/2574=e^{0.0359x} \\\\1.1169=e^{0.0359x}[/tex]

 Taking natural log on both side

[tex]x=\frac{ln(1.1169)}{0.0359} =3.07[/tex]

Since x = 0 corresponds to 2003, So  x = 3 corresponds to 2006.

Therefore, the spending reached $2875 per household in 2006.

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Answer:

Step-by-step explanation:

Midpoint of JK:

Slope of the line JK:

Perpendicular lines have negative reciprocal slopes.

So the line r has a slope 5/2 and passes through the point (-2, -1)

Equation of r:

So the equation is:

Answer: 0.03$ per container or 3 cents per container.

Step-by-step explanation: 2.70/90=0.03.

Answer:

It's either 0.03 or 2.70

Step-by-step explanation:

Answer:

Mark a s brainliest

Step-by-step explanation:

We are given the set:

P = {2, 3, 5, 7, 11, 13, 17, 19}

The n( ) function of a set is used to find out the number of elements in a set [also known as the cardinality of a set]

To find out the cardinality of a set, we usually count the number of terms in the set but keep in mind that ∅ (null) is an element of every set there is. So, the given set can be re-written as:

P = {∅, 2, 3, 5, 7, 11, 13, 17, 19}

From this, we can clearly see that there are 9 elements in this set

Therefore, the n(P) (cardinality) of this set is 9

Answer:

x=24

Step-by-step explanation:

180-96=84

2x+x+12=84

3x+12=84

3x=72

x=24

Answer:

x=24°

Step-by-step explanation:

180-96=84

2x+x+12=84

3x+12=84

-12 -12

3x=72

3x/3=72/3

x=24

hopefully this helps :)

Answer:

2q - 1 < 5

If you're trying to solve for q...

q < 3

Step-by-step explanation:

I'm not sure if you were asking for the inequality or the answer for q... but I'll gladly explain either if you need :)

Answer: EGF

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

First find how many games they need to have 90% by multiplying .9(30)=27

then, 15(.8)=12

Then 27-12=15

Answer:

c                                        

Step-by-step explanation:

Answer:

D). g(x) = - x² - 4

Step-by-step explanation:

D). g(x) = - x² - 4

Answer: D

Step-by-step explanation: This has to do with Transformations. With transformations, it follows this formula:

A (Bx±C) ± D

A is a vertical transformation where the graph is pulled upwards or squished downwards. If it is a whole number, like 2, the graph is pulled (stretched) up. If it is a fraction, like 1/2, the graph is squished.

B is a horizontal transformation where the graph is stretched outwards or squished inwards (think: accordian). If it is a whole number, like 2, the graph is squished inwards. If it is a fraction, like 1/2, the graph is stretched outwards.

C is a shift right or left. In this case, the ENTIRE graph moves right or left by C. If it is x+C, the graph moves left. If it is x-C, the graph moves right.

D is a shift up or down. In this case, the ENTIRE graph moves up or down by D. If it is +D, the grapjh moves up. If it is -D, the graph moves down.

If there are no Parenthesis or Square Root for B and C to be inside of, then there is no B and C. For the graph of x², for example, you might only have

Ax² ± D.

A graph of x² with parenthesis might look like this

A (Bx²± C) ± D.

Finally, if there is a negative (-) in front of A, that means the entire graph flips accross the x-axis, upsidown. If it is a parabola (x²), then the 'opening' or 'U-shape' faces down when there is a negative in front of A.

Ok, now that the basics are taken care of, we can analyze the graph provided. We are given with the basic graph of x². The first obvious noteicable thing we see is the fact that the new graph, g(x), has been moved down by 4 units.

We know that a shift Downwards is an effect of D, so we know  the graph of g(x) looks like this so far:

x² - 4

However, that is not the only transformation that we can notice about g(x). We see that g(x) is flipped upsidown, with its 'U-shape' facing downwards. We know that this is because there is a negative in front of A.

So, g(x) looks like this now:

- x² - 4

After careful examination, there are no other noticeable transformations, so we figure out that g(x) = - x² - 4.

Answer:

0.425

Step-by-step explanation:

division of 17/40

Answer:

Step-by-step explanation:

8.012 x 10^-4

Answer:

8.012×10^-4

Step-by-step explanation:

..............

Answer:

B. m<B=50

C. m<C=65

Step-by-step explanation:

We know that the interior angles of a triangle add up to 180 so knowing that A and C would be the same because of the fact it’s isosceles, the measure of A+C=130 meaning measure of missing angle B would be 50.

Answer:

B and C

Step-by-step explanation:

Answer:

Ok I will help you answer the first one the rest yourself?

Step-by-step explanation:

So the question is

6(r-s+t)

we have to time each number by 6

6r-6s+6t

That's how we can simply so the answer is 6r-6s+t

Same thing goes with the others

Hope it helps 0w0

Answer:

A

Step-by-step explanation:

Answer:

D if the signs of two factors are the same, their product is positive

Answer:

25

Step-by-step explanation:

I'm not really good at math but I think 25 is the answe

Answer:

12.5416667

Step-by-step explanation:

Answer:

I'm gonna guess and I don't know. I'm gonna go with C or A

Answer:

A

Step-by-step explanation:

I Just Took the Test.

Answer:

proportion=a statement that says two ratios are equal

constant of proportionality= the constant value relating two proportional quantities

cross multiplication= a statement that sets the cross products of a proportion equal to each other

proportional relationship= the relationship between two quantities that have a constant ratio

i just did this so you can mark the other person brainlist

Answer:

[tex] 3 < x < 4 [/tex]

Step-by-step explanation:

The graph shows a conjunction. Meaning, both statements of the compound inequality are true.

The empty circle shows that the values of x do not include 3 and 4. This means that x is greater than 3 and x is less than 4.

The compound inequality would be written as:

[tex] 3 < x < 4 [/tex]

Answer:

Jadon is 18yrs

Cousin 6 yrs

Step-by-step explanation:

Answer:

Jason is 18 years old and his cousin is 6 years old.

Step-by-step explanation:

Just took the test