Answer:
5x + y = 8
Step-by-step explanation:
Given the equations:
x+3y=10 ____ (1)
2x−y=−1 ____ (2)
Multiply (2) by 2
2(2x - y = - 1) = 4x - 2y = - 2
4x - 2y = - 2 - - - (3)
Add (1) and (3)
4x - 2y = - 2
x + 3y = 10
___________
5x + y = 8
_________
Answer:
<h3>Q1</h3>
The graph of y = f(x), has vertex at (1, -2)
<u>The vertex of a function f(x - 3) is going to be:</u>
<h3>Q2</h3>
- <em>The graph of y = f(x) has the line x = 5 as an axis of symmetry. The graph also passes through the point (8,-7). Find another point that must lie on the graph of y = f(x).</em>
The axis of symmetry is at the same distance from the symmetric points.
x = 5 is a vertical line. The point (8, -7) is 3 units to the right. So the mirror point will be 3 units to the left and have same y-coordinate: x = 5 - 3 = 2
The point is (2, -7)
<h3>Q3</h3>
The graph in blue is the translation of the red to the left by 2 units.
<u>So the equation is:</u>
<h3>Q4</h3>
y = h(x) is graphed
- h(7) = 5
- h(h(7)) = h(5) = -1
<h3>Q5</h3>
The graph of the function y = u(x) given
This is a odd function.
The coordinates of u(x) and u(-x) add to zero because u(-x) = -u(x)
<u>Therefore:</u>
- u(-2.72) + u(-0.81) + u(0.81) + u(2.72) =
- [u(-2.72) + u(2.72)] + [u(-0.81) + u(0.81)] =
- 0 + 0 = 0
Answer:
$16
Step-by-step explanation:
1. Simplify 12/45 which is now 4/15. Now we know $4 is made every 15 minutes.
2. Divide into 60(minutes) by the the 15. So 60÷15=4. Now we the number of times 15 can be divided into 60.
3. Multiply the ratio 4/15 by 4/4 to see how much is made in an hour. 4x4/15×4=16/60.
$16 is made in 60 minutes (1 hour).
Answer:
122 degrees, because x and z are alternate interior angles
122 degrees, because 58 degrees and z are same side interiors which add to 180
Step-by-step explanation:
1) we know that
m∠x=m∠z -----> by alternate interior angles
m∠x+58°=180° ----> by supplementary angles (form a linear pair)
m∠x=180°-58°=22°
therefore
m∠z=22°
2) m∠z+58°=180° ----> by same side interior angles
solve for z
m∠z=180°-58°=122°
therefore
122 degrees, because x and z are alternate interior angles
122 degrees, because 58 degrees and z are same side interiors which add to 180
B)66.5in^2
The square is 49in^2 and the triangle has side lengths of 5 and 7 so the area is (5*7/2=17.5)
49+17.5=66.5
