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2 years ago

What would (4,3) be after it is reflected to the y=x

Mathematics

1 answer:

Paul [167]2 years ago

5 0

Answer:

(3,4)

Step-by-step explanation:

The amount of steps applied from the reflection line to the point would be also applied inversely to the image point (after reflection).

From y=x to (4,3), it goes 1 down and also goes 1 right. (NOTE: It does not go down and right. Instead, it goes <em>either</em> down and right)

So now inverse that to make 1 up and also going 1 left.

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Since 1995 the cost of a bag of groceries has increased about 2.5% each year. The equation C = 25(1.025)x will give the value of

Marianna [84]

Answer: 28 years

Step-by-step explanation:

Given

The equation showing the value of the bag after x years is $C=25(1.025)^x$

If the price of the bag increased by 2.5%, from the equation, we can deduce that

Initial cost of the bag is 25

Double of the initial value is 50

Insert it in the equation

$\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28$

It will take 28 years

5 0

2 years ago

DUE TODAY!

Leokris [45]

<em>Independent variables are variables of a quantity that are not affected by any conditions. </em>

<em>Dependent variables are variables of a quantity that change if conditions relative to that variable changes.</em>

For example, we generally we take x as independent variable by x variable and dependent variable by y variable.

To find the rate of change we get two values of independent variable (x's) and two values of dependent variables (y's) to get two coordinates in form of

(x,1,y1) and (x2,y2).

<h3>And we can find the rate of change by applying slope formula</h3>

$m= \frac{y_2-y_1}{x_2-x_1}$ .

3 0

2 years ago

A submarine is searching for underwater features. It is accompanied by a small aircraft

Ivanshal [37]

Answer:

255 m

Step-by-step explanation:

From the given question, the surface of the water body is the reference point. And this point is assumed to be 0, so that any distance above it is positive, and any distance below is negative. This is synonymous to the number line system.

Thus,

For the aircraft, its height = +200 m

For the submarine, its depth = -55 m

So that the difference between the submarine and aircraft can be determined as;

200 - (-55)

= 200 + 55

= 255 m

The distance between the submarine and aircraft is 255 m.

7 0

2 years ago

Is the equation a linear function?<br> y = -x + 3 +

7nadin3 [17]

A linear function is y=mx + b so yes (assuming + sign at end is accidental)

5 0

2 years ago

William ran a total of 14 miles in seven days each day he ran the same number of miles how many miles did William run each day

worty [1.4K]

Two. He ran 14 miles in 7 days, where he ran the same amount each day, so we can set up a ratio between them to find that he ran 2 miles every 1 day.

4 0

2 years ago

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