Answer:
x-intercepts are (0, 0) and (-6, 0)
Step-by-step explanation:
equation of a parabola in vertex form: y = a(x - h)² + k
where (h, k) is the vertex
Substituting the given vertex (-3, -18) into the equation:
y = a(x + 3)² - 18
If the y-intercept is (0, 0) then substitute x=0 and y=0 into the equation and solve for a:
0 = a(0 + 3)² - 18
⇒ 0 = a(3)² - 18
⇒ 0 = 9a - 18
⇒ 9a = 18
⇒ a = 2
Therefore, y = 2(x + 3)² - 18
To find the x-intercepts, set the equation to 0 and solve for x:
2(x + 3)² - 18 = 0
Add 18 to both sides: 2(x + 3)² = 18
Divide both sides by 2: (x + 3)² = 9
Square root both sides: x + 3 = ±3
Subtract 3 from both sides: x = ±3 - 3
so x = 3 - 3 = 0
and x = -3 - 3 = -6
So x-intercepts are (0, 0) and (-6, 0)
5700 is 5731 rounded to the nearest hundred
9514 1404 393
Answer:
y +6 = (-1/3)(x +6)
Step-by-step explanation:
Given a point and a slope, it is appropriate to use the point-slope form to represent the equation:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
For your point and slope, the equation is ...
y -(-6) = -1/3(x -(-6))
y +6 = -1/3(x +6)
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Of course, this can be rearranged to whatever form you need.
y = -1/3x -8 . . . . slope-intercept form
x +3y = -24 . . . . standard form
Answer:
Step-by-step explanation:
Assuming you are asking for
85,000,000 + 2.9 x 10^5 =
8.5 x 10^7 + 2.9 x 10^5 =
10^5 ( 8.5 x10^2 + 2.9) =
10^5 ( 850+2.9) =
10^5 ( 852.9) =
10^5 x 8.529 x 10 ^2=
8.529 x 10^7
or
85,000,000 + 2.9 x 10^5 =
85,000,000 + 290,000 =
85290000 =
8.529 x 10 ^7 (because we moved 7 spots to the left)
Answer:
243
Step-by-step explanation:
3*3*3*3*3=243
