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IgorLugansk [536]
3 years ago
7

What is the equation of this line

Mathematics
1 answer:
photoshop1234 [79]3 years ago
8 0

Answer:

y = -\frac{4}{3}x + 4

Step-by-step explanation:

Use the slope-intercept form to write the equation if the line of the graph given.

y = mx + b, where,

b = y-intercept, which is where the line cuts across the y-axis = 4.

m = slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 4}{3 - 0} = \frac{-4}{3}

Substitute m = ⁴/3 and b = 4, into the slope-intercept formula to get the equation of the line:

y = mx + b

y = -\frac{4}{3}x + 4

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Wren bought a baseball card last year for $2.25. This year the price dropped to $.45. What was the percent of decrease in the pr
const2013 [10]
The price:
- last year: $2.25
- this year: $.45
The decrease: $2.25 - $.45 = $1.80
2.25 : 1.80 = 100 : x
2.25 x = 180
x = 180 : 2.25
x = 80
Answer:
The percent of decrease is  A ) 80%
4 0
3 years ago
Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua, and Elicia is two years older than Tanisha. The sum of a
AfilCa [17]

Answer:

Step-by-step explanation:

Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua, and Elicia is two years older than Tanisha. The sum of all their ages is 37. Use variable expressions and calculate the age of each girl

Let us represent:

The age of :

Tanisha = a

Elicia = b

Ajua = c

Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua

a = 2c

c = 2/a

Elicia is two years older than Tanisha.l

b = a + 2

The sum of all their ages is 37.

a + b + c = 37

We substitute

a + a + 2 + 2/a = 37

2a + 2 + 2/a = 37

Use variable expressions and calculate the age of each girl

8 0
3 years ago
Please explain for what values of x is function g(x) continuous if it is defined by.
Bond [772]

Using the continuity concept, it is found that the function is continuous for all real values.

<h3>What is the continuity concept?</h3>

A function f(x) is continuous at x = a if it is defined at x = a, and:

\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)

In this problem, we are given a piece-wise function, hence we have to look at the points where the definition of the function changes. In this problem, it can only be discontinuous at x = 0, which we have to verify.

Then:

  • f(0) = 0^2 - 1 = -1.
  • \lim_{x \rightarrow 0^-} = \lim_{x \rightarrow 0} x^2 - 1 = 0^2 - 1 = -1.
  • \lim_{x \rightarrow 0^+} = \lim_{x \rightarrow 0} \frac{1}{x - 1} = \frac{1}{0 - 1} = -1.

The 3 values are equal, hence the function is continuous at x = 0 and for all real values.

More can be learned about the continuity of a function at brainly.com/question/24637240

#SPJ1

5 0
2 years ago
Please please please help all mark brainlest please
Dmitriy789 [7]

Answer:

c. 1.067

Step-by-step explanation:

Hope it helps.

3 0
3 years ago
The price p, in dollars, of a specific ca that is x year old is modeled by the function p(x)=22,255(0.91)^x
uysha [10]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The price p, in dollars, of a specific car that is x year old is modeled by the function p(x)=22,255(0.91)^x

a) to determine the cost of a 2 year old car, we will substitute 2 for x in the given function. Therefore

p(2)=22,255(0.91)^2

p(2)=22,255 × 0.8281 = $18673.655

Approximately $18674

b) to determine the cost of a 7 year old car, we will substitute 7 for x in the given function. Therefore

p(7)=22,255(0.91)^7

p(2)=22,255 × 0.51676101936 = 11500.51648579693

Approximately $11501

c) 0.91 indicates exponential decay rate. It is a fixed percentage by which the value of the car decreases every year. It is determined by (1 - rate of decay)

7 0
3 years ago
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