1. The lowest test score is 79.
The highest test score is 100.
The range is 21.
2. The median is 93.
3. The median of lower half is 89.
4. The median of upper half is 96.
Hope this helped! :)
Answer:
21440
Step-by-step explanation:
<h2>
Simplify:</h2>
Start by multiplying 7x³ by x² and -5.
- 7x⁵ - 35x³ + (8x² - 3)(x² - 5)
Multiply 8x² by x² and -5.
- 7x⁵ - 35x³ + 8x⁴ - 40x² + (-3)(x² - 5)
Multiply -3 by x² and -5.
- 7x⁵ - 35x³ + 8x⁴ - 40x² -3x² + 15
Combine like terms together.
- 7x⁵ - 35x³ + 8x⁴ - 43x² + 15
Rearrange the terms in descending power order.
- 7x⁵ + 8x⁴ - 35x³ - 43x² + 15
<h2>Verify (I): </h2>
Substitute x = 5 into the above polynomial.
- 7(5)⁵ + 8(5)⁴ - 35(5)³ - 43(5)² + 15
Evaluate the exponents first.
- 7(3125) + 8(625) - 35(125) - 43(25) + 15
Multiply the terms together.
- 21875 + 5000 - 4375 - 1075 + 15
Combine the terms together.
This is the answer when substituting x = 5 into the simplified expression.
<h2>
Verify (II):</h2>
Substitute x = 5 into the expression.
- [7(5)³ + 8(5)² - 3][(5)² - 5]
Evaluate the exponents first.
- [7(125) + 8(25) - 3][(25) - 5]
Multiply the terms in the first bracket next.
Evaluate the expressions inside the brackets.
Multiply these two terms together.
This is the answer when substituting x = 5 into the original (unsimplified) expression.
Answer:
then what?
Step-by-step explanation:
do we have to find the angle?
all I know is every right triangle is equal to 90°
Answer:
John is currently 6 years old.
Step-by-step explanation:
2 years ago: x years
Current time: x+2
In 6 years: x+8
EQUATION:
3(x)=x+8= 3x=x+8
(subract x from both sides)
2x=8
x=4
Therefore, John is 6 years old in current time
Answer:
Correct answer: Two point of intersection and one touch point.
Step-by-step explanation:
Cartesian form of parabola is: y= a(x-1)² + 5 and point named A(2,4)
when we replace the coordinates of the point A in the formula we get
a = - 1 and parabola is y= - (x-1)² + 5 which means that it faces the opening downwards. The parabola touches the circle in vertex.
God is with you!!!