For every polynomial function (such as quadratic functions for example), the domain is all real numbers. if the parabola is opening upwards, i.e. a > 0 , the range is y ≥ k ; if the parabola is opening downwards, i.e. a < 0 , the range is y ≤ k .
Answer:
D
Step-by-step explanation:
Step 1: Subtract 13 from both sides.
<span><span><span><span>x^2</span>+<span>6x</span></span>−13</span>=<span>13−13</span></span><span><span><span><span>x^2</span>+<span>6x</span></span>−13</span>=0</span>
Step 2: Use quadratic formula with a=1, b=6, c=-13.
<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>x=<span><span><span>−<span>(6)</span></span>±<span>√<span><span><span>(6)</span>2</span>−<span><span>4<span>(1)</span></span><span>(<span>−13</span>)</span></span></span></span></span><span>2<span>(1)
</span></span></span></span><span>x=<span><span><span>−6</span>±<span>√88</span></span>2
</span></span><span><span>x=<span><span>−3</span>+<span><span><span>√22</span><span> or </span></span>x</span></span></span>=<span><span>−3</span>−<span>√22
</span></span></span>Answer would be
<span><span>x=<span><span>−3</span>+<span><span><span>√22</span><span> or </span></span>x</span></span></span>=<span><span>−3</span>−<span>√<span>22</span></span></span></span>
Answer:
Watered
Step-by-step explanation:
Hope this helps
Answer:
c = sqrt( 29x^2 + 44x + 52)
Step-by-step explanation:
This is an application of the Pythagorean theorem
c = sqrt(a^2 + b^2)
a = 2x - 4
b = 5x + 6
c = sqrt( (2x - 4)^2 + (5x + 6)^2 ) Substitute and expand
c = sqrt( 4x^2 - 16x + 16 + 25x^2 + 60x + 36) Collect like terms
c = sqrt( 4x^2 + 25x^2 - 16x + 60x + 16+36) Combine the like term pairs.
c = sqrt( 29x^2 + 44x + 52)
This does not factor into anything very nice.
