Let's say the quantities are "a" and "b"
so... whatever "a" and "b" are, they add up to 9,500, thus
a + b = 9,500
now, "a" was invested at 12%, or 12/100
it yielded some amount, actually 12% of a, or 12/100 * a or 0.12a
the "b" amount was invested at 9%, or 9/100
it yielded 9% of b, or 9/100 * b or 0.09b
whatever 0.12a is, and 0.09b is, their sum or total yield was 1032
thus
0.12a + 0.09b = 1032
thus
solve for "a" to see how much was invested at 12%
what about "b"? well, b = 9500 - a
The formula for volume of prism:
<span>length * width * height.
0.5 * 4 * 6 = </span>12
To work out length divide area by the triangle size:
120 / 12 = 10,
So the answer is 10mm.Hope this helps.
Question
The y-intercept of the function f(x) = x2+3x+2
Answer:
4 + 3x
Answer:
a) b = 8, c = 13
b) The equation of graph B is y = -x² + 3
Step-by-step explanation:
* Let us talk about the transformation
- If the function f(x) reflected across the x-axis, then the new function g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new function g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then the new function g(x) = f(x + h)
In the given question
∵ y = x² - 3
∵ The graph is translated 4 units to the left
→ That means substitute x by x + 4 as 4th rule above
∴ y = (x + 4)² - 3
→ Solve the bracket to put it in the form of y = ax² + bx + c
∵ (x + 4)² = (x + 4)(x + 4) = (x)(x) + (x)(4) + (4)(x) + (4)(4)
∴ (x + 4)² = x² + 4x + 4x + 16
→ Add the like terms
∴ (x + 4)² = x² + 8x + 16
→ Substitute it in the y above
∴ y = x² + 8x + 16 - 3
→ Add the like terms
∴ y = x² + 8x + 13
∴ b = 8 and c = 13
a) b = 8, c = 13
∵ The graph A is reflected in the x-axis
→ That means y will change to -y as 1st rule above
∴ -y = (x² - 3)
→ Multiply both sides by -1 to make y positive
∴ y = -(x² - 3)
→ Multiply the bracket by the negative sign
∴ y = -x² + 3
b) The equation of graph B is y = -x² + 3
Answer:
A. add 81; 
Step-by-step explanation:
The perfect square formula
Rewrite expression 
as follows:
So, to form a perfect square, 
is missed.
When we add 
we will get
