<span>10.
if we were to
subsitute the points and graph the equation we would notice that the
shape is the same for both: a 45 degree angle line that goes upleft and
up right
the graph of y=|x| looks like a right angle corner that is facing up that is ballancing on the point (0,0)
the
graph of y=|x|-4 is the same except that the graph is shifter 4 units
to the right ie. the point ofo the graph/rightangle is on point (4,0)
14.
slope intercept form which is y=mx+b
m=slope b=y intercept
m=4/3
y=4/3x+b
one given solution/point is (9,-1)
one solution is x=9 and y=-1 so subsitute and solve fo b
-1=4/3(9)+b
-1=36/3+b
-1=12+b
subtract 12 from both sides
-11=b
the equation si y=4/3x-11
see which one converts to the correct form
after trial and error we find that y-1=4/3(x-9) is the answer
</span>
Answer:
7 hamsters at 5 pesos each and 13 hamsters at 8 pesos each
Step-by-step explanation:
5x + 8y = 139
x + y = 20
x = 20 - y
5x + 8y = 139
5(20 - y) + 8y = 139
100 - 5y + 8y = 139
100 + 3y = 139
3y = 139 - 100
3y = 39
3y/3 = 39/3
y = 13
x + y = 20
x + 13 = 20
x = 20 - 13
x = 7
Answer:
what do you mean inverse
Step-by-step explanation:
A)
sinA = 8√3 / 16 = √3 / 2
answer is B
√3 / 2
B) It's 30 60 90 right triangle
so <B is 30
answer is A
m<B = 30
The inequalities that are given in this item are given below,
y < 5x - 1
y ≥ -3x +4
We dropped the inequalities sign to solve for the values of x and y for the intersection.
y = 5x - 1
y = 3x + 4
Substituting the y from the first equation to the y of the second equation,
5x - 1 = 3x + 4
2x = 5
x = 5/2
Substituting for y,
y = (5)(5/2) - 1
y = 25/2 - 1 = 11.5
The intersection is (5/2, 11.5)
The solutions of the system of inequalities lie in the 3rd and 4th quadrants.