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Vsevolod [243]
4 years ago
5

What are the solutions to the following system of equations? y=x^2+12x+30 and 8x-y=10

Mathematics
1 answer:
Ierofanga [76]4 years ago
6 0
Note that the 2nd equation can be re-written as y=8x-10.
According to the second equation, y=x^2+12x+30.
Equate these two equations to eliminate y:

8x-10 = x^2+12x+30

Group all terms together on the right side.  To do this, add -8x+10 to both sides.  Then 0 = x^2 +4x +40.  You must now solve this quadratic equation for x, if possible.  I found that this equation has NO REAL SOLUTIONS, so we must conclude that the given system of equations has NO REAL SOLUTIONS.

If you have a graphing calculator, please graph 8x-10  and  x^2+12x+30 on the same screen.  You will see two separate graphs that do NOT intersect.  This is another way in which to see / conclude that there is NO REAL SOLUTION to this system of equations.
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What is the degree of the function f(x)=x⁴-5x+8+x²?​
DENIUS [597]

First put it in decreasing power according to x.

x^4-5x+8+x^2

=x^4+x^2-5x+8

Now this question is asking what is the highest degree of x you see in this function.

4 of course.

Therefore the answer to his question is degree of 4.

Done!

7 0
3 years ago
Mike and his dad are retiling his bathroom floor. They have budgeted $200 for the tiles and supplies. The tiles cost $1.85 each
Feliz [49]

Answer:

Equation: $114.90 + $1.85<em>x</em> = 200

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Step-by-step explanation:

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7 0
3 years ago
Use the discriminate to determine the number and the nature of the solutions of the giving equation.
PolarNik [594]

Answer:

Since b^2 -4ac = 256 we have 2 real distinct root roots

Step-by-step explanation:

4x^2+12x=7

We need to subtract 7 to get it in the proper form

4x^2+12x-7=7-7

4x^2+12x-7=0

The discriminant is b^2 -4ac

when the equation is ax^2 +bx+c

so a =4   b=12 and c=-7

(12)^2 - 4(4)(-7)

144 +112

256

If b^2 -4ac > 0 we have 2 real distinct roots

If b^2 -4ac = 0 we have one real root

If b^2 -4ac < 0 we have two complex root

Since b^2 -4ac = 256 we have 2 real distinct root roots

7 0
3 years ago
Find the exact value of the 8th term of the geometric sequence: 648,216,72,24?
Vikki [24]
The answer is b, hope I helped (:
8 0
3 years ago
A guy-wire is attached to a pole for support. If the angle of elevation to the pole is 67° and the wire is attached to the groun
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cos 67 = 137 / x

Solving for x;
x = 350.62 ft</span>
3 0
3 years ago
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