Answer:
see explanation
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 5 = (x + 2) ← in point- slope form
with slope m = and (a, b) = (- 2, 5 ) ← point on line
As per the equation, the value of r - s is 13/2.
A mathematical equation is a statement asserting the equality of two mathematical expressions, typically involving variables, constants, and operations. Equations help solve problems and represent relationships in various mathematical disciplines. For example, "2x + 5 = 11" is a simple linear equation.
To find the values of r and s, we need to solve the quadratic equation 2x^2 + 7x - 15 = 0.
We can factor the equation as (2x - 3)(x + 5) = 0. This gives us two possible solutions: x = 3/2 and x = -5.
Since r > s, the larger solution is r = 3/2 and the smaller solution is s = -5. The difference between r and s is therefore r - s = 3/2 - (-5) = 3/2 + 5 = 13/2.
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The solution to the quadratic equation 2x² + 7x - 15 = 0 are x = 5 and x = -1.5. If we define r as the larger solution and s as the smaller one, then r = 5 and s = -1.5. The difference r - s would then be 5 - (-1.5) = 6.5.
The given equation is a quadratic equation, which can be written in the standard form ax² + bx + c = 0. The direct solutions to this equation are given by the quadratic formula: x = [-b ± √(b² - 4ac)] / 2a.
For the given equation 2x² + 7x - 15 = 0, a = 2, b = 7, and c = -15. Plugging these values into the quadratic formula, you get the solutions x = [-7 ± √(49 - 4 × 2 × (-15))] / 4. Calculating further, you get the values x = [-7 ± √(49 + 120)] / 4 = [-7 ± √(169)] / 4. So the solutions are x₁ = 5 and x₂ = -1.5.
If we define r as the larger solution and s the smaller one, then r = 5 and s = -1.5. The difference r - s then becomes 5 - (-1.5) = 6.5.
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What is the estimated median number of nuts in all 90 packages?
________
Answer:
E. 3 × 3 × 11
Step-by-step explanation:
A prime number is any number that is only divisible by 1 and itself. e.g. 2,3,7,11,...
To write the prime factorization of any number, all numbers in the product must be prime.
Therefore, the prime factorization of 99
99= 9X 11=3 X3 X11
Answer:
3^2x11 and 3x3x11
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