-- The LIMIT is 40 pounds.
-- The weight HASTA be 40 pounds or less. It can't be more.
-- 40 pounds is OK, and anything less than 40 pounds is OK too.
-- 41 pounds or more is too much.
-- Here are all the OK conditions:
. . . . Weight = 40 pounds.
. . . . Weight is less than 40 pounds.
-- Summary: Weight can be equal to 40 pounds or less than 40 pounds.
Can you write that same sentence with the mystical symbols of Math ?
How about W ≤ 40 lbs
9514 1404 393
Answer:
A: -1, 3/5
B: (-1/5, -3 1/5)
2: plot the given points and draw a curve through them.
Step-by-step explanation:
<h3>Part A</h3>
The x-intercepts are most easily found from a graph of the function. I like the Desmos graphing calculator for this purpose. The x-intercepts are -1 and 3/5.
You can also find the x-intercepts by factoring the function.
f(x) = 5x^2 +5x -3x -3 = 5x(x +1) -3(x +1) = (5x -3)(x +1)
The x-intercepts are the values of x that make the factors zero:
5x -3 = 0 ⇒ x = 3/5
x +1 = 0 ⇒ x = -1
__
<h3>Part B</h3>
The vertex is on the axis of symmetry, which is the vertical line at the value of x halfway between the zeros. (-1 +3/5)/2 = (-2/5)/2 = -1/5
The value of f(x) there is ...
f(-1/5) = (5(-1/5) +2)(-1/5) -3 = (-1 +2)(-1/5) -3 = -1/5 -3 = -3 1/5
The vertex is (-1/5, -3 1/5).
__
<h3>Part 2</h3>
The easiest step to take to graph the function is to type it into a graphing calculator (see attached).
If you're graphing this by hand, the three points given in parts A and B will be on the graph. The leading coefficient in the function is 3, so the x^2 parent function is vertically stretched by a factor of 3. This can make it a little more difficult to find points that lie on the graph.
Recognizing that the vertex form equation is ...
f(x) = 3(x +1/5) -3 1/5
I might choose x-values that are -1/5 ± 1/2 to get y-values that are -3 1/5 + 3/4. And, x = -1/5 ± 1 ⇒ y = -3 1/5 +3.
Answer:
AB = √37
BC = 2√5
AC = √41
Type: SCALENE TRIANGLE
Step-by-step explanation:
Given the coordinates
A(1, –9), B(0, –3), C(–4, –5)
We are to find the length of each sides first. Using the formula for calculating the distance between two points, we will have;
For A(1, –9) and B(0, –3)
AB = √(-3+9)²+(0-1)²
AB = √6²+(-1)²
AB = √36+1
AB = √37
For coordinates B(0, –3) and C(–4, –5)
BC = √(-5+3)²+(-4-0)²
BC= √(-2)²+(-4)²
BC = √4+16
BC = √20
BC = 2√5
For coordinates A(1, –9), C(–4, –5)
AC = √(-5+9)²+(-4-1)²
AC= √(4)²+(-5)²
AC = √16+25
AC = √41
<em>Since the sides of the triangles are all different, hence the triangle is a SCALENE triangle</em>
Answer:19800
Step-by-step explanation:
Answer:
A. divide both sides by 3
Step-by-step explanation:
3p < 14
We want to isolate p, so we divide both sides by 3
3p/3 < 14/3
p <14/3