Answer:
Step-by-step explanation:
Givens
Let the number in the Spanish Class = x
Then the number in the Geometry Class = (4/5) x
Equation
x + (4/5)x < 54
Solution
x + (4/5)x < 54
4/5 = 0.8
x + 0.8x < 54
1.8x < 54 Divide both sides by 1.8
1.8x / 1.8 < 54/1.8
x < 30
The sign used in the equation is less than, not less than or equal to.
The number of students taking Spanish cannot equal 30. There must be 29 in the Spanish Class.
The standard form of a quadratic function is y = 3/2x² + 17/2x - 7
<h3>How to determine the
quadratic equation?</h3>
From the question, the points on the quadratic equation are given as
(2,4), (3,5) and (4,3)
The standard form of a quadratic equation is represented as
y = ax² + bx + c
So, we have
Point (2,4):
4a + 2b + c = 4
Point (3,5):
9a + 3b + c = 5
Point (4,3):
16a + 4b + c = 3
Solving using an online calculator. we have
a = 3/2, b = 17/2 and c = -7
Substitute a = 3/2, b = 17/2 and c = -7 in y = ax² + bx + c
y = 3/2x² + 17/2x - 7
Hence, the equation is y = 3/2x² + 17/2x - 7
Read more about quadratic equation at
brainly.com/question/1214333
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2 more people like to swim than hike because 4 (the people who swim) minus 2 (the people who hike) is 2 people
49,815 i hope this is right
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A. EXPONENTIAL NOTATION: EXPAND AND EVALUATE THE FOLLOWING.
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- 3³ = 3 x 3 x 3 = 27
- 5² = 5 x 5 = 25
- 7³ = 7 x 7 x 7 = 343
- 2⁹ = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512
- 8⁴ = 8 x 8 x 8 x 8 = 4, 096
- 9³ = 9 x 9 x 9 = 729
- 4³ = 4 x 4 x 4 = 64
- 1000⁰ = 1
- 7³ = 7 x 7 x 7 = 343
- 4⁰ = 1
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In the expression 6², 6 is the base and 2 is the exponent. The exponent tells how many times the base should be multiplied by itself.
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