Which ordered pair is a solution of the system? x + 4y = 19
y = -2x - 4

A. (3,4)
B. (7,3)
C. (-5,6)
D. (-2,0)

Answers

Answer 1
Answer: y = -2x - 4

x + 4y = 19
x + 4(-2x - 4) = 19
x + (-8x) - 16 = 19
-7x - 16 = 19
-7x = 35
-x = 5
x = -5

y = -2x - 4
y = -2(-5) - 4
y = 10 -4
y = 6

Solution set {-5, 6} (C)

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Bridget needs an actor. Actor A is offering her services for an initial $250 in additionto $50 per day. Actor B is offering her services for an initial $200 in addition to $60per day. When will the two actors charge the same amount of money?

Monty has a total of $290 in ten dollar and five dollar bills. This can be represented by the function 10x + 5y = 290. Interpret the x- and y-intercepts.

Answers

Answer:

The x-intercept indicates that he has 29 ten dollar bills

and no five dollar bills. The y-intercept indicates that he has 58 five

dollar bills and no ten dollar bills.

Step-by-step explanation:

Help me please it is literal equation

Answers

Answer:

Step-by-step explanation:

s = n(a + 1)

n(a + 1) = s

a + 1 = s/n

a = s/n - 1

Point W ____ is on segment AB so that AW= 1/5AB

Answers

The answer is 1.3.4

Final answer:

In geometry, when it's said that 'Point W is on segment AB such that AW= 1/5AB', it means that the distance between A and W is exactly one-fifth of the total distance from A to B.

Explanation:

This question is based on geometry, especially on segments. Point W is located along segment AB such that the length from A to W is exactly 1/5 of the total length from A to B.

The phrase 'AW= 1/5AB' can be interpreted as the distance between points A and W is one-fifth the distance between points A and B. Or in other words, if you consider the entire length AB as 5 parts, point W is located one part away from point A.

For example, if AB is 10 units long, AW would be 2 units long as AW = 1/5 * 10 = 2. So, you would graph this by marking point A, then moving 2 units along the line to mark point W, and then continue another 8 units to reach point B.

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To determine customer opinion of their pricing​, Home Depot randomly selects 140 check out lines during a certain week and surveys all customers in the check out lines. What type of sampling is​ used?

Answers

Answer: Cluster sampling

Step-by-step explanation:

A cluster sampling is a kind of random sampling technique in which the researcher splits the whole population into distinct sets known as clusters.

After that, he choose a random sample of clusters from the population and do analysis on it.

In the given situation, the objective of survey : "To determine customer opinion of their pricing:".

He first divides the number of check out lines according to weeks and randomly selects 140 check out lines during a certain week and surveys all customers in the check out lines. .

(Here , check out lines = clusters )

Therefore , the type of sampling is​ used = Cluster sampling

Cluster sampling is used by Home Depot for a certain week and surveys all customers in the check out lines.

A cluster sampling is a kind of random sampling technique in which the researcher splits the whole population into distinct sets known as clusters.

Given, Home depot randomly selects 140 check out lines.

In the given situation, the objective of survey : "To determine customer opinion of their pricing:".

He first divides the number of check out lines according to weeks and randomly selects 140 check out lines during a certain week and surveys all customers in the check out lines. .

Here , check out lines = Clusters

Therefore , the type of sampling used is Cluster sampling .

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Evaluate limit as x approaches 0 sin^2x/(1-cosx).

Answers

\lim_(x \to 0) (sin ^(2)x )/(1-cos x) = ( (0)/(0) )= \n = \lim_(x \to 0) (1-cos ^(2)x )/(1-cosx)= \n = \lim_(n \to 0) ((1+cosx)(1-cosx))/((1-cosx))= \n = \lim_(x \to 0) (1+cos x) =
= 1 + cos 0 = 1 + 1 = 2

True or false: Polar equations can describe graphs as functions, even when their equations in the rectangular coordinate system are not functions.

Answers

The statement above is true. Polar equations indeed can describe graphs as functions, even if when the equations in the rectangular coordinate system are not one of the functions. Polar equations can be graphed accurately using hands by using the Polar Coordinate System.

Answer:

The answer is true.

Step-by-step explanation:

A polar equation describes the relation between r and θ. Here 'r' is the distance from the origin to a point curve. 'θ' is the angle made by a point on a curve, the pole, and the positive x-axis.

So, the statement - Polar equations can describe graphs as functions, even when their equations in the rectangular coordinate system are not functions - is true.