We can say that the area of the figure equals...
5.5 by 9 rectangle - 2 by 2 triangle - 2 by 5 triangle - 9 by 3.5 triangle
5.5 by 9 rectangle = 5.5 x 9 = 49.5 un²
2 by 2 triangle = 1/2 x 2 x 2 = 2 un²
2 by 5 triangle = 1/2 x 2 x 5 = 5 un²
9 by 3.5 triangle = 1/2 x 9 x 3.5 = 15.75 un²
area of figure = 49.5 un² - 2 un² - 5 un² - 15.75 un² = 26.75 un²
answer: 26.75 un²
Answer:
56,691.00 which would be 21 payments at 4.1 % compounded quarterly.
84 months in 7 years
÷ 4
= 21
21
×4.1 =
26,691 +
31,000 =
56,691
Answer:
Inverse of f exists.
Step-by-step explanation:
From the graph attached,
If we do the horizontal line test for the function graphed,
We find the function as one to one function.
In other words for every input value (x-value) there is a different output value.
Since, for one-to-one functions, inverse of the functions exist.
Therefore, the answer will be,
The inverse of 'f' exists.
<span> first, write the equation of the parabola in the required form: </span>
<span>(y - k) = a·(x - h)² </span>
<span>Here, (h, k) is given as (-1, -16). </span>
<span>So you have: </span>
<span>(y + 16) = a · (x + 1)² </span>
<span>Unfortunately, a is not given. However, you do know one additional point on the parabola: (0, -15): </span>
<span>-15 + 16 = a· (0 + 1)² </span>
<span>.·. a = 1 </span>
<span>.·. the equation of the parabola in vertex form is </span>
<span>y + 16 = (x + 1)² </span>
<span>The x-intercepts are the values of x that make y = 0. So, let y = 0: </span>
<span>0 + 16 = (x + 1)² </span>
<span>16 = (x + 1)² </span>
<span>We are trying to solve for x, so take the square root of both sides - but be CAREFUL! </span>
<span>± 4 = x + 1 ...... remember both the positive and negative roots of 16...... </span>
<span>Solving for x: </span>
<span>x = -1 + 4, x = -1 - 4 </span>
<span>x = 3, x = -5. </span>
<span>Or, if you prefer, (3, 0), (-5, 0). </span>
Answer:
B
Step-by-step explanation:
Multiply x/20 each side
