Answer:
The equation of the line is y = -7/8x + 11/2
Step-by-step explanation:
Since we have the slope and a point to start, we can use point-slope form to find the equation.
y - y1 = m(x - x1)
Use the slope for m and the point at (x1, y1). Then solve for y.
y - 9 = -7/8(x + 4)
y - 9 = -7/8x - 7/2
y = -7/8x + 11/2
Answer:
adult $8.00
child $5.50
Step-by-step explanation:
Let the price of 1 adult ticket = x.
Let the price of 1 child ticket = y.
2x + 4y = 38
3x + 3y = 40.5
Multiply the first equation by 3. Multiply the second equation by -2. Then add them.
6x + 12y = 114
(+) -6x - 6y = -81
-----------------------------
6y = 33
y = 33/6
y = 5.5
2x + 4y = 38
2x + 4(5.5) = 38
2x + 22 = 38
2x = 16
x = 8
Answer:
adult $8.00
child $5.50
Answer:
-30
Step-by-step explanation:
f(x) = 3 so f(-8) = 3;
g(x) = 5x + 7, so g(-8) = 5(-8) + 7 = -33
Then (f + g)(-8) = 3 - 33 = -30
This is the sum of two functions both evaluated at x = -8.
To solve this we will divide the given composite figure into three figures. The three figures will be 2 squares and 1 rectangle. Let's find their areas and add them!



<em>Thus, The area of 1st square is 9m²...</em>
- The area of second square will be also 9m², because the sides of both squares are equal.
<h3>
Now area of the reactangle⤵️</h3>
- Length = 6m
- Breadth = 7+3=10m



<em>Thus, The area of rectangle is 30m²....</em>
- Now, Add area of all the figures to get the total area.

<h3><em>Therefore, The total area of the composite figure is 48m²...~</em></h3>