Answer:
<h3>
a. the vertex represents a minimum point</h3><h3>
b. f(x) = (x + 5)² - 5</h3>
Step-by-step explanation:
a.
a = 1 > 0 ← that means the parabola opens up, so the vertex is minimum of the function
b.
Answer:
153\286
Step-by-step explanation:
A -box 1
B -box 2
B)- blue ball drawn
Slope of the line passing through two points <span><span>P=<span>(<span><span>x1</span>,<span>y1</span></span>) </span></span></span>and <span><span>Q=<span>(<span><span>x2</span>,<span>y2</span></span>)</span></span></span> is given by <span><span>m=<span><span><span>y2</span>−<span>y1/</span></span><span><span>x2</span>−<span>x1</span></span></span></span></span>.
We have that <span><span><span>x1</span>=−8</span></span>, <span><span><span>y1</span>=−3</span></span>, <span><span><span>x2</span>=−3</span></span>, <span><span><span>y2</span>=4</span></span>.
Plug given values into formula for slope: <span><span>m=<span><span><span>(4)</span>−<span>(<span>−3</span>)/</span></span><span><span>(<span>−3</span>)</span>−<span>(<span>−8</span>)</span></span></span>=<span>7/5</span></span></span>.
Now y-intercept is <span><span>b=<span>y1</span>−m⋅<span>x1</span></span></span> .
<span><span>b=−3−<span>(<span>7/5</span>)</span>⋅<span>(<span>−8</span>)</span>=<span>41/5.</span></span></span>
Finally, equation of the line can be written in the form <span><span>y=mx+b</span></span>.
<span><span>y=<span>7/5</span>x+<span>41/5</span></span></span>
Answer:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ... No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ANSWER: No; 9.
12.6-10.5=2.1(1.5 pounds) 2.1 divided by 3 = 0.7x2= 1.4 Therefore one pound of cheese is £1.40
