Answer:
Step-by-step explanation:
The vertex form of a quadratic function is f(x) = a(x – h)2 + k, where a, h, and k are constants. of the parabola is at (h, k).
<span>1. For the data in the table, does y vary directly with X? If it does write an equation for the direct variation.(X,y) (8,11) (16,22) (24,33)
</span><span>
Yes y=1.375x
</span><span>2.for the data in the table, does y vary directly with X? If it does write an equation for the direct variation. (X,y) (16,4) (32,16) (48,36)
</span>No y does not very directly with x*** <span>
</span><span>3. (Time/hour,distance/miles)(4,233) (6,348) (8,464) (10, 580)
Express the relationship between distance and time in a simplified form as a unit rate. Determine which statement correctly interprets this relationship.
</span><span>58/1 your car travels 58 miles in 1 hour
</span><span>4.what is the slope of the line that passes through the pair of points (2,5) and (8,3)
</span>-1/3
<span>4.what is the slope of the line that passes through the pair of points (-5.2,8.7) and (-3.2,2.7)
</span>
-3
<span>5. What is the slope of the line that passes through the pair of points (3/2,-2) and (-3,7/3)
-26/27
</span><span>6.write an equation in point slope from for the line through the given point with the given slope (5,2) m=3
Y-2=3(X-5)
7. Write an equation in point slope form for the line through the given point with the given slope (-3,-5) m=-2/5
Y+5=-2/5(X+3)
</span><span>8. Write an equation in point slope from for the line through the given point with the given slope. (4,-7) m=-0.54
Y+7=-0.54(x-4)
9. The table shows the height of a plant as it grows. Which equation in point slope from gives the plants height (time,plant height) (2,16)(4,32)(6,48)(8,64)
Y-16=8(X-2)***
</span>
<span>10. Write y=-2/3x+7 in standard form
2x+3y=21
11. Write y=-1/2x+1 in standard form using integers
X+2y=2
</span>
Answer: 475 adults paid admission
Step-by-step explanation:
1.50c+4a=5050 (1.50 per child and 4 per adult)
1.50(2100)+4c=5050 (2100 children times 1.5 each)
3130+4a=5050
4a=1900
a=475
The answer would be D. 32
Why? The triangle in the problem is an isosceles triangle. That means the two legs of the triangle are equal and the angle opposite to the equal legs are also equal.
Therefore, angle C is also 74°.
The sum of the interior angles of a triangle is equal to 180°.
Thus,
180° = ∡A + ∡B + ∡C
180° = 74° + ∡B + 74°
180° = 148° + ∡B
∡B = 180° - 148°
∡B = 32°
