Answer:
The larger number is -6, the smaller number is -15
Step-by-step explanation:
We have two numbers, a and b.
We know that one number is larger than another by 9.
Then we can write:
a = b + 9
then a is larger than b by 9 units.
If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:
(a + 10) + 3*b = -41
So we got two equations:
a = b + 9
(a + 10) + 3*b = -41
This is a system of equations.
One way to solve this is first isolate one variable in one of the two equations:
But we can see that the variable "a" is already isolated in the first equation, so we have:
a = b + 9
now we can replace that in the other equation:
(a + 10) + 3*b = -41
(b + 9) + 10 + 3*b = -41
now we can solve this for b.
9 + b + 10 + 3b = -41
(9 + 10) + (3b + b) = -41
19 + 4b = -41
4b = -41 -19 = -60
b = -60/4 = -15
b = -15
then:
a = b + 9
a = -15 + 9 = -6
a = -6
Answer:
From the looks of the graph, it looks like the answer will be Letter C. (The last graph).
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex: (
−
3
/4
, 41
/8
)
Focus: (
−
3
/4
, 5
)
Axis of Symmetry: x
=
−
3
/4
Directrix: y
=
21
/4
x y
−
3 −
5
−
2 2
−
3 4
41 8
0 4
1 −
1
Answer:
x =
25
/(1 − sin(y
)) and y ≠
π/2 +2πn
Step-by-step explanation:
Let's solve and simplify for x,
(x − 25
)/ x = sin(y)
Let's multiply both sides by x
((x − 25
)/x) *x= sin(y)*x
Then,
x − 25 = sin(y) * x
Let's add 25 to both sides
x − 25 + 25 = sin(y) * x + 25
If simplify again,
x = sin(y) * x + 25
Then we need subtract sin y x from both sides
x − sin(y) * x = sin (y)* x + 25 − sin (y)* x
It will equal:
x − sin (y)* x = 25
Factor x−sin(y) x: x(1−sin(y) ), then we get:
x (1 − sin(y)) = 25
Finally we need divide both sides by 1 − sin(y) ; y ≠π
/2
+ 2πn
And it will give us this equation:
x =
25
/(1 − sin(y
)) and y ≠
π/2 +2πn
Answer:
The correct answer is option C that is graph X.
Step-by-step explanation:
Given : 1 sack lunch has 3 sandwiches
x axis = Number of sack lunches
y axis = Number of sandwiches
The coordinate from the given data will be: (1,3)
So, from the given graphs the graph with coordinate point (1,3) is correct. It will also show change in number of sandwiches with respect to change in number of sack lunches.
