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babunello [35]
3 years ago
11

20 POINTS NEED HELP ASAP!!!Which is

Mathematics
1 answer:
TEA [102]3 years ago
7 0

Answer:

D is eliminated as it goes down to 4, if counted by 1. The answer is B. y= 1/2x² – 4

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What is the answer ?
kifflom [539]
The system of inequalities is the following:

i) <span>y ≤ –0.75x
ii)</span><span>y ≤ 3x – 2

since </span>0.75= \frac{75}{100}= \frac{3}{4}, we can write the system again as 

i) y \leq - \frac{3}{4}x
ii) y  \leq 3x-2

Whenever we are asked to sketch the solution of a system of linear  inequalities, we:

1. Draw the lines
2. Color the regions of the inequalities.
3. The solution is the region colored twice.


A.

to draw the line y =- \frac{3}{4}x

consider the points: (-4, 1) and (0, 0), or any 2 other points (x,y) for which y =- \frac{3}{4}x hold.

since we have an "smaller or equal to" inequality, the line is a solid line (not dashed, or dotted).

In order to find out which region of the line to color, consider a point not on the line, for example P(1, 1), which is clearly in the upper region of the line.

For (x, y)=(1, 1) the inequality y  \leq - \frac{3}{4}x, does not hold because 

1 \leq - \frac{3}{4}*1= -\frac{3}{4} is not true,

this means that the solution is the region of the line not containing (1, 1), as shown in picture 1.


B.
similarly, to draw the solution of inequality ii) y ≤ 3x – 2, 

we first draw the line y=3x-2, using the points (0, -2) and (2, 4), or any other 2 points (x,y) for which y=3x-2 holds.

after we draw the line, we can check the point P(1, 7) which clearly is above the line y=3x-2.

for (x, y) = (1, 7), the inequality y ≤ 3x – 2 does not hold

because 7 is not ≤ 3*1-2=1, so the region we color is the one not containing P(1, 7), as shown in picture 2.


The solution of the system is the region colored with both colors, the solid lines included. Check picture 3.

the lines intersect at (0.533, -0.4) because:

–0.75x=3x-2
-0.75x-3x=-2
-3.75x=-2, that is x= -2/(-3.75)=0.533

for x=0.533, y=3x-2=3(0.533)-2=-0.4

Answer: Picture 3, the half-lines included. So the graph is in the 3rd and 4th Quadrants

8 0
2 years ago
HELP ASAP PLEASEEEEEEEEEE
Andrew [12]

Given the recursive formula, each terms is five time the previous one.

This means that:

  • f(6) is 5 times f(5), which means f(6)=5f(5)
  • in turn, f(5) is 5 times f(4), so we have f(5)=5f(4). This means that f(6)=5f(5)=5\cdot 5f(4) = 25f(4)
  • Finally, f(4)=5f(3) So, substituting this back gives

f(6)=25f(4)=25\cdot 5f(3)=125f(3)

In general, since you have f(n)=5f(n-1), each time you compute a new term you multiply by a factor of 5, so if m=n+k, you have

f(m)=5^kf(n)

4 0
2 years ago
A necklace found at a pawn shop is 192 grams and has a volume of 19.5 cubic centimetres. What metal is the necklace made of?
Sophie [7]

Answer:

we divide 192 by the volume 19.5

192÷19.5=9.85 so the necklace is made of bronze

8 0
3 years ago
Round 0.42 to the nearst tenth
Archy [21]
0.4 because if it’s five or more, add one more. If it’s four or less, let it rest.
4 0
3 years ago
The distance between points
nasty-shy [4]
Answer: B. False
Distance between points is square root of (x1 - x2) + (y1 - y2).

Hope it helped!
8 0
3 years ago
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