Answer:
D. Up
Step-by-step explanation:
When a parabola has the form 
, It is vertical (opens up or down).
Because the variable "x" is squared.
If "a" is positive, then the parabola opens up, but if it is negative, then the parabola opens down.
In this case you have the quadratic function:
Which can be rewritten as:
Therefore, it is vertical, because it has the form:
You can observe that the value of "a" is:
Then, since "a" is positive, the parabola opens up.
Answer:
x=3; y=5
Step-by-step explanation:
y=x+2
y=3x-4
so x+2=3x-4
2x=6
x=3
because y=x+2
x=3
so y=3+2
=5
Answer:
35
Step-by-step explanation:
We know the factors of Lena's age are 2 and 5. The least common multiple must have these factors and the factors of 14, so will at least have factors of 2, 5, and 7.
Apparently, the dad's age is 5·7 = 35.
___
The GCF is 5; the LCM is 70 = 5×14.
_____
Sometimes, I use a little 3-part diagram to think about LCM and GCF. Here, it would look like ...
(2 [5) 7]
where the numbers in curved brackets (2·5) and the numbers in square brackets [5·7] are factors of the two numbers of concern (Lena's age, her dad's age). The middle number in both brackets [5) is the greatest common factor, and the product of all three numbers is their least common multiple.
Here, the product of outside numbers, 2·7 = 14, represents the ratio of the LCM to the GCF. We know that Lena's age has factors of only 2 and 5, so the numbers in the diagram have to be (2[5)7], where 2 and 7 are on the ends and 5 is in the middle.
The expression would be 2.98 * 10 to the -7 power? Please tell me if I'm wrong.
Answer:
a = - 27
Step-by-step explanation:
- 
a - 6 = 12 ( add 6 to both sides )
- a = 18 ( multiply both sides by 3 to clear the fraction )
- 2a = 54 ( divide both sides by - 2 )
a = - 27
