Answer:
A
Step-by-step explanation:
For a graph to be representative of a proportional relationship, it must meet the following criteria:
1) It is a straight line.
2) It passes through the origin point (0,0).
3) It is neither horizontal nor vertical*.
We can see that D is not a line. So, D is not a proportional relationship.
We can also see that B and C are vertical and horizontal, respectively. They also do not cross the origin.
The only choice that is a straight line and also crosses through the origin point is A.
So, our answer is A.
And we're done!
*Note: Vertical lines are not proportional because they are not a function.
Horizontal lines are not proportional because they has a constant of proportionality of 0, which can't be the case.
Answer:
3 girls and 4 boys
Step-by-step explanation:
Writing the number of girls in the family as g and the number of boys in the family as b,
we know that each girl has twice as many brothers as sisters. Therefore, the amount of boys in the family (b, or how many brothers each girl has) is twice the number of the amount of girls in the family (g) minus 1 (g-1) (subtract 1 because each girl's number of sisters does not include the girl herself). We can write this as
b = 2(g-1)
Next,
we know that each boy has the same amount of brothers as sisters. Therefore, the amount of boys in the family minus 1 (b-1, subtracting 1 because we don't include the boy that has the brothers) is equal to the amount of girls in the family (g). we can write this as
b-1 = g
Therefore, we have
b = 2(g-1)
b-1 = g
Plugging b-1 = g into the first equation, we get
b = 2 (g-1)
2(g-1) = 2((b-1) - 1) = b
= 2(b-1-1)
= 2(b-2)
= 2b-4
b = 2b-4
subtract 2b from both sides to make it so that only b values and their coefficients are on one side
-b = -4
multiply both sides by -1 to solve for b
b=4
Therefore, there are 4 boys in the family and b-1 = 4-1 = 3 girls in the family.
Answer:
f(6) = - 75 , g(- 5) = - 8
Step-by-step explanation:
substitute x = 6 into f(x) , that is
f(6) = - 2(6)² - 3 = - 2(36) - 3 = - 72 - 3 = - 75
substitute x = - 5 into g(x) , that is
g(- 5) = 2(- 5) + 2 = - 10 + 2 = - 8
Answer:
X =91
Step-by-step explanation: