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.
#SPJ12
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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x = 39
x = 29
y = 61
y = 29
z = 61
z = 29
answer:
x = 29
y = 29
z = 61
step-by-step explanation:
all angles in a triangle must equal 180 degrees.
we were already given the angle degree of 61 degrees so we must include that in our formula to determine the degree of y.
the line in the middle already gives us two more angles because they both are 90 degrees for being a perfect quarter turn.
so to figure out y,
we must add 61+90 and then subtract the sum of that from 180.
so, 61+90 = 150 and 180-151 = 29
therefore,
we can conclude that y = 29
now, to determine the degrees of x and z we do the same thing.
we already know one angle equals 90 degrees.
180-90 = 90
that concludes that x and z must have a sum of 90.
if we use our choices,
39+61 = 100 (no)
39+29 = 68 (no)
29+61 = 90 (CORRECT)
29+29 = 28 (no)
therefore, x = 29 and z = 61
so, in total :
x = 29
y = 29
z = 61
hope this helps :)
-audrey <3
35
Geometry set-up
Equation 35+(x-5)
X=
m/WIN
The given expression is (15x - 5) multiplied by 35. To simplify this expression, we can distribute the 35 to both terms inside the parentheses.
(15x - 5) * 35 = 15x * 35 - 5 * 35
Multiplying each term by 35:
= 525x - 175
Therefore, the simplified expression is 525x - 175.
Please note that the equation 35 + (x - 5) and the term m/WIN mentioned in your question seem unrelated to the given expression. If you have any further questions or need clarification, feel free to ask!Answer:
Step-by-step explanation:
One Solution No solutions or infinite number of solutions
Answer:
Infinite Number of Solutions
Step-by-step explanation:
Since 4*x= 4x
and 4*4= 16
its 4x+16
which is 4x+16=4x+16
Since there are the same, and both equal each other, there are an infinite number of solutions.
Answer:
infinite number of solutions
Step-by-step explanation:
4(x + 4) = 4x + 16
Distribute on the left side.
4x + 16 = 4x + 16
Subtract 16 from both sides.
4x = 4x
Divide both sides by 4.
x = x
x = x is a true equation for every value of x.
Answer: infinite number of solutions