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viva [34]
2 years ago
5

Should the quadratic formula be used to solve this question explain.x^2+4x-3=0

Mathematics
1 answer:
garik1379 [7]2 years ago
8 0

Answer:

Yes

Step-by-step explanation:

This equation does not factorise, so quadratic equation will be useful. It is easier than other methods that can be applied to this equation.

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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
3 years ago
Graph. (Shade. Dashed line. Solid line?)<br> x+3y≥3
Allisa [31]

Answer:

Since the graph looks like this, I would say solid line

5 0
2 years ago
Ms.Phillips ordered 56 pizzas for a school fundraiser. Of the pizzas ordered, 2/7 of them were pepperoni, 19 were cheese, and th
larisa [96]
\frac{2}{7} • 56 = 16

so 16 pizzas are pepperoni 

19 pizzas are cheese

And the rest is Veggie

So now add 16 and 19 which is 35

Now subtract that from 50 which is 15

So 15 pizzas were Veggie pizzas
5 0
3 years ago
Read 2 more answers
Need number 12 plz help
dlinn [17]
I think its letter A
6 0
3 years ago
Read 2 more answers
Solve the poprotion 38/25=n/12
ANEK [815]

Answer:

  n = 18 6/25

Step-by-step explanation:

Multiply both sides by 12.

  12(38/25) = 12(n/12)

  456/25 = n = 18 6/25 = 18.24

8 0
3 years ago
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