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dexar [7]
3 years ago
13

Tools -

Mathematics
1 answer:
S_A_V [24]3 years ago
6 0
The answer is C.
39-5/ 21-4 = 2
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If g(x) is a linear function such that g(-3) = 2 and g(1) = -4, find g(7).
eimsori [14]
<h3>Answer:   -13</h3>

=======================================

Explanation:

g(-3) = 2 means x = -3 and y = 2 pair up together to form the point (-3,2)

g(1) = -4 means we have the point (1,-4)

Find the slope of the line through the two points (-3,2) and (1,-4)

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

m = (-4-2)/(1-(-3))

m = (-4-2)/(1+3)

m = -6/4

m = -3/2

m = -1.5

The general slope intercept form y = mx+b turns into y = -1.5x+b after replacing m with -1.5

Plug in (x,y) = (-3,2) which is one of the points mentioned earlier and we end up with this new equation:  2 = -1.5*(-3) + b

Let's solve for b

2 = -1.5*(-3)+b

2 = 4.5 + b

2-4.5 = 4.5+b-4.5 .... subtract 4.5 from both sides

-2.5 = b

b = -2.5

Therefore, y = mx+b becomes y = -1.5x-2.5 meaning the g(x) function is g(x) = -1.5x-2.5

The last step is to plug in x = 7 and compute

g(x) = -1.5*x - 2.5

g(7) = -1.5*7 - 2.5

g(7) = -10.5 - 2.5

g(7) = -13

6 0
3 years ago
Read 2 more answers
Suppose you have 34 bread slices and 24 cheese slices. how many cheese sandwiches can you make
Brums [2.3K]
17 if you maintain the ratio of 2:1 for bread and cheese, but you would get a remainder of 7 cheese  slices. You could, however, cut up the extra pieces of cheese and add ~0.41 slices of cheese to each sandwich, which would melt into the rest of the cheese if you are grilling the sandwich. Otherwise, it's just an extra chunck, which is perfectly fine.
4 0
3 years ago
Which function is represented by the graph?
Ksju [112]

Answer

a. f(x) = −2|x| + 1

6 0
2 years ago
Write the simplified expression: 2x + 3(x - 2) - 3(x -6)
Bas_tet [7]

Answer:

2x+12

Step-by-step explanation:

2x+3(x−2)−3(x−6)

Distribute:

=2x+(3)(x)+(3)(−2)+(−3)(x)+(−3)(−6)

=2x+3x+−6+−3x+18

Combine Like Terms:

=2x+3x+−6+−3x+18

=(2x+3x+−3x)+(−6+18)

=2x+12

Answer:

=2x+12

4 0
2 years ago
Read 2 more answers
What is 1 2/3 multiplied by 4 1/2
horrorfan [7]
Change the mixed numbers into improper fractions:
5/3 X 9/2

Reduce - the 3 and 9 can be simplified
5/1 X 3/2

multiple numerators and denominators
15/2

Not sure how you need the answer - i would change it into a mixed number
7 1/2
3 0
3 years ago
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