The mode's of this set of data are 1,2, and 4.
Answer:
A.6.2i-4.2 j
Step-by-step explanation:
We are given that



We have to find the projection of w on to u.
The project of vector a on b
=


Using the formula
The projection of w on to u

The projection of w on to u=6.2i-4.2j
Hence, option A is true.
Not this riddle again
3 kids
what you are supposed to do is factor 72 and see their sums
1+1+72=74
1+2+36=39
1+3+24=28
1+4+18=23
2+2+18=22
1+6+12=19
2+3+12=17
1+8+9=18
2+4+9=15
2+6+6=14
3+3+8=14
3+4+6=13
notice that all the sums are different except for the 2 that add to 14
since there is not enough info, we can conclude that the sum was 14 and that the ages is either 2,6,6 or 3,3,8
after he says, "the youngest is called justice"
now we know there is a youngest
it cannot be 3,3,8 because 3 and 3 are both youngest
therefor the ages are
2,6 and 6 years old
Answer:

Step-by-step explanation:
we are given the zeros and a point where it goes through of a quadratic equation
remember that when the roots are given then the function should be

where a is the leading coefficient and x1 and x2 are the roots
substitute:

simplify:

now the given point tells us that when x is 2 y is -14 therefore by using the point we can figure out a
substitute:

simplify parentheses:

simplify multiplication:

divide both sides by -7:

altogether substitute:

since it want the equation y should be

recall quadratic equation standard form:

so simplify parentheses:

distribute:

hence,
the equation of the parabola in standard form is <u>2</u><u>x</u><u>²</u><u>+</u><u>4</u><u>x</u><u>-</u><u>3</u><u>0</u><u>=</u><u>0</u>