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nikdorinn [45]
3 years ago
6

Which method is the most efficient method to use to solve 2x^2 4x-3=0?

Mathematics
1 answer:
Darya [45]3 years ago
4 0
You should use the formula - b+-√b^2- 4 ac/2a. A=2 B=4 C=-3. Plug these numbers into the formula. If you get a negative in the square root try using a method called the box method.
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How to solve it?........................
Feliz [49]
5x+4=114
5x= 110
X=22

114+ 3(22)-24=156
180-156=24
2y=24
Y=12
5 0
3 years ago
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
The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes: Graph titl
Degger [83]

<u><em>Answer:</em></u>

The initial value is 3

It represents the distance between the bird and its nest before any elapsed time which is 3 miles.

<u><em>Step-by-step explanation:</em></u>

The graph is shown in the attached image.

<u>The general form of a straight line is:</u>

y = mx + c

where:

m is the slope and c is the y-intercept.

The y-intercept is also known as the initial value. It is the value of y at x=0.

From the givens, we can note that at x = 0, the y-value is 3. This means that the y-intercept is 3.

Now, in the problem, x represents the time in minutes while y represents the distance of the bird from the nest in miles.

At x = 0, meaning before any time elapsed, the distance of the bird from its nest was 3 miles.

Hope this helps :)

4 0
3 years ago
Read 2 more answers
A triangle has sides with lengths of 60 feet, 63 feet, and 87 feet. Is it a right triangle?
Sedaia [141]

Answer:

Yes

Step-by-step explanation:

We can use the Pythagorean Theorem to check if this triangle is a right triangle:

a^2+b^2=c^2

Note that a and b are the legs of the triangle and c is the hypotenuse:

Substitute the lengths of the sides into the equation:

60^2+63^2=87^2

3600+3969=7569\\7569=7569

Therefore this triangle is a right triangle.

3 0
2 years ago
Read 2 more answers
A mixture of concrete is made up of sand and cement in the ratio of 5:3.How many cubic centimeters of sand is needed to make 160
bazaltina [42]

Answer: 100\ cm^3

Step-by-step explanation:

Given

The ratio of mixture of sand and cement is 5:3

If the total volume of mixture is 160\ cm^3

Suppose there is 5x and 3x cubic centimeter of sand and cement respectively i.e.

\Rightarrow 5x+3x=160\\\Rightarrow 8x=160\\\Rightarrow x=20\ cm^3

Sand 5x=5\times 20=100\ cm^3

So, there is 100\ cm^3 of sand in the mixture

3 0
3 years ago
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