1. Mandy kept track of the trade-in value of a collector’s coin for several months through February of this year. She determined the line of best fit for the data was y = 4x + 12, where y is the trade-in value, in dollars, x months after February of this year. According to the equation, when will the trade-in value of the coin be $44? a) December of the same year
b) October of the same year
c) April of the following year
d) June of the following year

Answers

Answer 1

Answer: 44 = 4x + 12 32 = 4x X = 8 months after February = October of the same year. That's choice (b).

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Draw a quadrilateral with only one set of parallel lines

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Given f(x)=(x+5)(x-2), what are the x-intercepts?

Answers

Answer:

The intercepts are -5 and 2

Step-by-step explanation:

Using the zero product property

f(x)=(x+5)(x-2)

0 =(x+5)(x-2)

0 = (x+5) 0=(x-2)

x = -5 x = 2

The intercepts are -5 and 2

Write an equation of the line that passes through a pair of points:(-2,-2), (5,-5)
A. Y=3/7x - 20/7
B. Y=-3/7x + 20/7
C. Y= -3/7x + 7/20
D. Y= -3/7x - 7/20

Answers

Answer:

Step-by-step explanation:

(-2,-2) , (5,-5)

$Slope=(y_(2)-y_(1))/(x_(2)-x_(1))\n\n=(-5-(-2))/(5-(-2))\n\n=(-5+2)/(5+2)\n\n=(-3)/(7)\n$

(-2,-2), m= -3/7

Line equation: y -y1 =m*(x -x1)

y-(-2) = -(-3/7)(x - [-2])

$y+2=(-3)/(7)*(x+2)\n\ny+2=(-3)/(7)*x+((-3)/(7))*2\n\ny+2=(-3)/(7)x-(6)/(7)\n\ny=(-3)/(7)x-(6)/(7)-2\n\ny=(-3)/(7)x-(6)/(7)-(2*7)/(1*7)\n\ny=(-3)/(7)x-(6)/(7)-(14)/(7)\n\ny=(-3)/(7)x-(20)/(7)$

Answer:

y = -(3/7)x - 20/7

Step-by-step explanation:

Slope: (-5 - -2)/(5 - -2)

= -3/7

y = (-3/7)x + c

-2 = (-3/7)(-2) + c

-2 - 6/7 = c

c = -20/7

y = -(3/7)x - 20/7

Cards with the numbers 1 through 40 are placed in a box and throughly shuffled. What is the probability of randomly selecting a card with a number less than 10 or a multiple of 15? a) 3/10; b) 11/40; c) 1/20; d) 7/400

Answers

There are 9 numbers less than 10. 1,2,3,4,5,6,7,8,9
And there are 2 multiples of 15. 15,30
There are 11 of the 40 cards that are either less than 10 or multiples of 15, so the answer is B

For which equation is 7 a solution

Answers

3x + 1 = 27

3(7) + 1 = 27

21 + 1 = 27

22 ≠ 27

FALSE

3(x + 1) = 24

3(7 + 1) = 24

3(8) = 24

24 = 24

TRUE

2x + 3(x - 4) = 21

2(7) + 3(7 - 4) = 21

14 + 3(3) = 21

14 + 9 = 21

23 ≠ 21

FALSE

x^2 - 8 = 42

7^2 - 8 = 42

49 - 8 = 42

41 ≠ 42

FALSE

Hope This Helped! Good Luck!

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