Begin by finding the lowest point the quadratic equation can be, the vertex;
x²-1= is just a translation down of the graph x²
vertex; (0, -1) and since the graph of x² would extend to infinity beyond that point, we can say {x| x≥0} for domain and {y| y≥-1}.
For the linear equation, it is possible to have all x and y values, therefore range and domain belong to all real numbers.
Hope I helped :)
Answer
1/20
Step-by-step explanation:
Compound Probability=Probability1*probability2
Probability that the 1st student chosen is team leader:1/5
The 2nd student chosen is assistant leader:1/4 as one person is already chosen
multiply 1/5 by 1/4 you get 1/20
What is 500÷4×30×90=
337500
Use the distance formula to determine the distance between the two points.<span><span>Distance=<span>√<span><span><span>(<span><span>x2</span><span>−<span>x1</span></span></span>)</span>2</span>+<span><span>(<span><span>y2</span><span>−<span>y1</span></span></span>)</span>2</span></span></span></span><span>Distance=<span><span><span><span>x2</span><span>-<span>x1</span></span></span>2</span>+<span><span><span>y2</span><span>-<span>y1</span></span></span>2</span></span></span></span>Substitute the actual values of the points into the distance formula.<span>√<span><span><span>(<span><span>(1)</span><span>−<span>(9)</span></span></span>)</span>2</span>+<span><span>(<span><span>(1)</span><span>−<span>(7)</span></span></span>)</span><span>2
</span></span></span></span>10 i think is the answer
Y = mx + b
slope(m) = -5/3
(0,1/3)...x = 0 and y = 1/3
now we sub and find b, the y int
1/3 = -5/3(0) + b
1/3 = b
so ur equation is : y = -5/3x + 1/3 <== slope intercept form
or if u need it in standard form :
y = -5/3x + 1/3
5/3x + y = 1/3 ...multiply by 3
5x + 3y = 1 <== standard form
