Answer:
Yes.
Step-by-step explanation:
4 gallons is 16 quarts!
7 grade needs to read 94 more books in order to catch up with 6 grade.
Vertex form is y=a(x-h)^2+k, so we can rearrange to that form...
y=3x^2-6x+2 subtract 2 from both sides
y-2=3x^2-6x divide both sides by 3
(y-2)/3=x^2-2x, halve the linear coefficient, square it, add it to both sides...in this case: (-2/2)^2=1 so
(y-2)/3+1=x^2-2x+1 now the right side is a perfect square
(y-2+3)/3=(x-1)^2
(y+1)/3=(x-1)^2 multiply both sides by 3
y+1=3(x-1)^2 subtract 1 from both sides
y=3(x-1)^2-1 so the vertex is:
(1, -1)
...
Now if you'd like you can commit to memory the vertex point for any parabola so you don't have to do the calculations like what we did above. The vertex of any quadratic (parabola), ax^2+bx+c is:
x= -b/(2a), y= (4ac-b^2)/(4a)
Then you will always be able to do a quick calculation of the vertex :)
15.
2500 X 15 = 37500
37500 ÷ 100 = 375
375 + 200 = 575
The answer is C.
16.
The easiest way to answer this question is by going through each answer one by one:
14:6 = 28:18
28 <span>÷ 14 = 2
</span>18 <span>÷ 6 = 3
</span>Since both numbers were multiplied by different numbers, we can establish that this is not a true proportion.
42:7 = 6:2
42 ÷ 7 = 6
7 ÷ 7 = 1
42:7 = 6:1
By dividing both numbers by the same number, we can establish that the answer is wrong.
2:3 = 3:2
This is obviously wrong. That is because, in ratios, the order counts. So the first 3 is more than the first 2, therefore the second number on the other side of the ratio should be more than the first.
3:5 = 12:20
12 <span>÷ 3 = 4
</span>20 <span>÷ 5 = 4
</span>Since both numbers were multiplied by the same number, this is a true proportion.
The answer is D.
Answer:
If Samuel is 6 inches taller than Elijah and he is 48 inches tall then Elijah is 42 inches tall.
