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White raven [17]
1 year ago
6

Identify the slope and y-intercept of the function y = -2x + 3. O A. The slope is 3. The y-intercept is (0,2). OB. The slope is

3. The y-intercept is (0, -2). O C. The slope is 2. The y-intercept is (0,3). O D. The slope is -2. The y-intercept is (0,3).

Mathematics
1 answer:
monitta1 year ago
7 0

Since the slope-intercept form of a line is given by the expression:

y=mx+b

Where, m is the slope and b is the y-intercept.

Then, for the function:

y=-2x+3

The slope is -2 and the y-intercept is (0, 3)

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What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.
Orlov [11]

Answer:

(2x - 5 ) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x - 35

The product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7 are not equal.

Step-by-step explanation:

Product means multiplication

Product of 2x - 5 and 3x^2 + 5x - 7

(2x - 5 ) (3x^2 + 5x - 7)

= 6x^3 + 10x^2 - 14x - 15x^2 - 25x - 35

Collect like terms

= 6x^3 + 10x^2 - 15x^2 - 14x - 25x - 35

= 6x^3 - 5x^2 - 39x - 35

Product of 5x - 2 and 3x^2 + 5x - 7

(5x - 2) (3x^2 + 5x - 7)

= 15x^3 + 25x^2 - 35x - 6x^2 - 10x + 14

Collect like terms

= 15x^3 + 25x^2 - 6x^2 - 35x - 10x + 14

= 15x^3 + 19x^2 - 45x + 14

The product of 2x – 5 and 3x^2 + 5x - 7equal to the product of 5x - 2 and 3x^2 + 5x - 7 are not equal.

They both consist of different variables in their multiplier

8 0
3 years ago
A path 1 m wide is build around a garden that is a 30-meter square. What is the area taken by the path?
maria [59]

Length of outer boundary =30m

So area of outer boundary =30×30

= 900m²

Length of inner boundary of path=30-1= 29m

Inner area =29×29 =841m²

So area of path is= outer area - inner area

=900- 841

= 59m²

6 0
2 years ago
If f(x) = x2, find the inverse of f.
jolli1 [7]

Answer:

inverse -1

Step-by-step explanation:

4 0
3 years ago
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Philip and Kevin are hoping to earn enough money to buy concert tickets for a show that costs $225 her concert tickets. Philip a
Zigmanuir [339]

Answer:

Kevin is going to be able to have enough money for the concert the fastest

Philip needs at least 4 weeks

Kevin needs at least 3 weeks

Step-by-step explanation:

<u>Philip</u>

  • $8.75/hour * 6 hours/weekend * 1 weekend/week = $52.5/week
  • $45 saved

Let's call x to the number of weeks Philip needs to reach $225.

52.5*x + 45 = 225

52.5*x = 225 - 45

x = 180/52.5

x = 3.43

He needs at least 4 weeks

<u>Kevin</u>

  • 3 hours/day * $7.5/hour *3 days/week = $67.5/week
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Let's call y to the number of weeks Kevin needs to reach $225.

67.5*y + 30 = 225

67.5*y = 225 - 30

y = 195/67.5

y = 2.9

He needs at least 3 weeks

6 0
4 years ago
What is the greatest factor of 60 and 75
Radda [10]

The greatest factor of 60 and 75 is 15.

Reasoning: I found the factors and prime factorization of 60 and 75. The biggest common factor number is the GCF number. So the greatest common factor 60 and 75 is 15.

8 0
4 years ago
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