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tino4ka555 [31]
3 years ago
6

Find the points of intersection of the graphs involving the following pair of functions.

Mathematics
1 answer:
jeka57 [31]3 years ago
4 0

Answer:

The point of intersection is ( \frac{-1\pm\sqrt{5}}{2}, 0)

Step-by-step explanation:

f(x) = 2x^2 + 3x - 3 and g(x) = - x^2

By equating them

2x^2 + 3x - 3 = -x^2

3x^2 + 3 x - 3 =  0

x^2 + x - 1 = 0

x^2 +x - 1 = 0 \\\\x = \frac{-1\pm\sqrt{5}}{2}

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#10-12!!! look at picture!!! I don't give out points for free!!! T.T
Tom [10]
F(x)=x
Domain: 1 2 3 4 5 6
Range: 1 2 3 4 5 6

F(x)=2x
Domain: 1 2 3 4
Range: 0 2 4 6
3 0
3 years ago
Read 2 more answers
In AOPQ, o = 700 cm, p = 840 cm and q=620 cm. Find the measure of _P to the<br> nearest degree
Westkost [7]

Given:

In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.

To find:

The measure of angle P.

Solution:

According to the Law of Cosines:

\cos A=\dfrac{b^2+c^2-a^2}{2bc}

Using Law of Cosines in triangle OPQ, we get

\cos P=\dfrac{o^2+q^2-p^2}{2oq}

\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}

\cos P=\dfrac{490000+384400-705600}{868000}

\cos P=\dfrac{168800}{868000}

On further simplification, we get

\cos P=0.19447

P=\cos^{-1}(0.19447)

P=78.786236

P\approx 79

Therefore, the measure of angle P is 79 degrees.

8 0
3 years ago
Read 2 more answers
Which equation could be solved using the graph above?
Oduvanchick [21]

Answer:

Option b is the correct answer

Step-by-step explanation:

The graph in the picture is the graph of a quadratic equation and it takes the shape of a parabola.

The points on the x axis through which the parabola cuts across is used to determine the solution of the quadratic equation.

Looking at the parabola formed from the plotted points, it cuts the x axis at

x = -1 and x= -2

These are the factors of the equation. To get the equation, we multiply the factors.

x= -1, x +1 = 0

x =-2 , x + 2= 0

The equation is (x+1)(x+2)

Expanding the brackets,

x×x + x×2 +1×x + 1×2

= x^2 + 2x + x +2

= x^2 + 3x +2 = 0

Option b is the correct answer

6 0
3 years ago
if there are 1 horse that needs 5.4 liters of water every day. If a farm has 13 horses, how much liters of water would they need
spin [16.1K]

Answer:

491.4 litres

Step-by-step explanation:

(5.4×13)×7 = 491.4

5 0
2 years ago
A cruise ship is traveling at a speed of 20 knots . A knot is approximately equal to 1.151 miles per hour. What is the approxima
Mrrafil [7]
1 mile = 1760 yards
20 * 1.151 = 23.02
23.02 * 1760 = 40,515.2
40,515.2 / 60 = 675.243~
675.243~ / 60 = 11.2542~
They are traveling 11.25 yards per second
I took the number of knots multiplied by the approximate miles per hour equal
Then multiplied that by the number of yards in a mile, and then divided that by the number of minutes in an hour, and divided that by the number of seconds in a minute. That is how I got the answer, I hope it helps!
6 0
3 years ago
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