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stealth61 [152]
3 years ago
8

Consider the two functions. Which statement is true?

Mathematics
2 answers:
Nitella [24]3 years ago
8 0

Answer: Function 2 has a greater rate of change by 13/4

Step-by-step explanation:

We must work with linear equations, remember that the general shape is:

y = a*x + b

where a is the slope and b is the y-intercept.

Ok, first we want to find the rate of change (or the slope) of the graphed line:

We know that for a line that passes through the points (x1, y1) and (x2, y2)

The slope is:

a = (y2 - y1)/(x2 - x1)

Then for the graphed function, we can see that it passes through the points:

(0, -2) and (4, 0)

Then the slope is:

a = (0 -(-2))/(4 - 0) = 2/4 = 1/2

Now, the slope of the second line is 15/4.

Let's calculate the difference between the slopes:

15/4 - 1/2 = 15/4 - 2/4 = 13/4

(notice that we are calculating slope2 - slope1)

Then the correct option is:

Function 2 has a greater rate of change by 13/4

Bezzdna [24]3 years ago
6 0

Answer:

B) Function 2 has a greater rate of change by 13/4

Step-by-step explanation:

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Given (-2, 4) (1, -2). Find the slope of the line
gavmur [86]

Answer:

-2

Step-by-step explanation:

We can find the slope of a line given two points from

m = (y2-y1)/(x2-x1)

    = (-2-4)/(1--2)

    = (-6)/(1+2)

    =-6/3

    =-2

5 0
3 years ago
Read 2 more answers
Point Q' is the image of Q(-7, -6) under the translation (x, y) + (x + 12, y + 8).
Lina20 [59]

Answer:

The co-ordinates of Q' is (5,2).

Step-by-step explanation:

Given:

Pre-image point

Q(-7,-6)

To find Image point Q' after following translation.

(x,y)\rightarrow (x+12,y+8)

Solution:

Translation rules:

Horizontal shift:

(x,y)\rightarrow (x+k,y)

when K>0 the point is translated k units to the right.

when K the point is translated k units to the left.

Vertical shift:

(x,y)\rightarrow (x,y+k)

when K>0 the point is translated k units up.

when K the point is translated k units down.

Given translation (x,y)\rightarrow (x+12,y+8) shows the point is shifted 12 units to the right and 8 units up.

The point Q' can be given as:

Q'=(-7+12,-6+8)=(5,2)

So, the co-ordinates of Q' is (5,2). (Answer)

7 0
3 years ago
Add. reduce to lowest terms.<br> 6 4/5 + 3 7/10=
KiRa [710]
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7 0
3 years ago
Exponent that will equal 32768
solmaris [256]
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8 0
3 years ago
Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 78%.
olganol [36]
The answer is:  "39 points" .
_______________________________________________________
Explanation:
_______________________________________________________
" x/ 50 = 78/100 " ;   in which "x" equals the number of points needed.

_______________________________________________________

To solve for "x" ; 
_______________________________________________________

Look at the denominators:  50 * (what value?) = 100.

→ "100 ÷ 50 = 2" .

→ So;  "50 * 2 = 100" ; 

So, let us look at the numerators:

x * 2 = 78 ; 

↔  2x = 72 ; 

Divide each side of the equation by "2" ; to isolate "x" on one side of the equation ; and to solve for "x" ;
_____________________________________________
 →  78 ÷ 2 = 39 ;

The answer is:  "39 points" .
_____________________________________________


4 0
3 years ago
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