Answer:
see explanation
Step-by-step explanation:
Given
2x² + 7x = 15 ( subtract 15 from both sides )
2x² + 7x - 15 = 0 ← in standard form
To factorise the left side
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 15 = - 30 and sum = + 7
The factors are + 10 and - 3
Use these factors to split the x- term
2x² + 10x - 3x - 15 ( factor the first/second and third/fourth terms )
2x(x + 5) - 3(x + 5) ← factor out (x + 5) from each term
(x + 5)(2x - 3) ← in factored form
3 is in the tens and 1 is in the ones. To explain more easily... 30+1 is 31.<span />
Answer: $37.50
Explanation:
1. Turn 25% into a decimal by removing the “%” and placing a “0.” in front of it. (0.25)
2. Multiply the decimal (0.25) by the original price of the car (30). (0.25x30=7.5)
3. Add 7.5 to 30 to get the answer. (7.5+30=37.5=$37.50)
If we need our line to pass through point C, then we have to use the x and coordinates of point C in our new equation. If that line is to be perpendicular to AB, we also need to find the slope of AB and then take its opposite reciprocal. First things first. Point C lies at (6, 4) so we will use x = 6 and y = 4 in our equation in a bit. The coordinates of A are (-2, 4) and the coordinates of B are (2, -8) so the slope between them is
which is -3. The opposite reciprocal of -3 is 1/3. That's the slope we will use along with the points from C to write the new equation. We will do this by plugging in x, y, and m (slope) into the slope-intercept form of a line and solve for b.
and 4 = 2 + b. So b = 2. That's the y-intercept, the point on the y axis where the line goes through when x is 0. Therefore, the point you're looking for is (0, 2).
Answer:
The range of the function will be (- ∞, 4].
Step-by-step explanation:
See the graph attached.
Here we have to get the range of the graphed function.
The value of y in the graphed function varies in the range of less than or equal to 4.
Because the graph of the function does not move beyond 4 towards +∞.
Therefore, the range of the function will be (- ∞, 4]. (Answer)
