Answer:
20 units²
Step-by-step explanation:
The x-intercepts are symmetrically located around the x-coordinate of the vertex, so are at
1.5 ± 5/2 = {-1, 4}
Using one of these we can find the unknown parameter "a" in the parabola's equation (in vertex form) ...
0 = a(4 -1.5)² +12.5
0 = 6.25a +12.5 . . . . . simplify
0 = a +2 . . . . . . . . . . . divide by 6.25
-2 = a
Then the standard-form equation of the parabola is ...
y = -2(x -1.5)² +12.5 = -2(x² -3x +2.25) +12.5
y = -2x² +6x +8
This tells us the y-intercept is 8. Then the relevant triangle has a base of 5 units and a height of 8. Its area is given by the formula ...
A = (1/2)bh = (1/2)(5)(8) = 20 . . . . units²
We need Probability of drawing a heart Or drawing a face card other than a heart.
This is 1/4 + 9/52 = 11/26
C is the correct choice.
The expression in standard form is n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶
<h3>How to express in standard form?</h3>
The expression is given as:
8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³
Collect the like terms
8mn⁵ -mn⁵ - 2m⁶ -4m⁶ + 5m²n⁴ +9m²n⁴+n⁶ - 4m³n³ - m³n³
Evaluate the like terms
7mn⁵ - 6m⁶ + 14m²n⁴+n⁶ - 5m³n³
Rewrite in standard form
n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶
Hence, the expression in standard form is n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶
Read more about expressions at:
brainly.com/question/723406
#SPJ1
Answer:
B. Since the y - values decrease as the x - values increase the scatter plots show a negative association.
Step-by-step explanation:
A positive association would be the y - values and the x - values both increases.
I hope this helps!
He graded 60/75 papers.
If you divide these numbers instead of trying to simplify it equals the decimal 0.8.
If you move the decimal point two places to the right it's 80%.
