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Mathematics

2 answers:

irina [24]2 years ago

6 0

Answer:

look down

Step-by-step explanation:

A 2-column table with 6 rows. Column 1 is labeled x with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled y with entries 14, 28, 42, A, B, C.

Find the relationship between the quantities in the table. Then use the relationship to calculate the missing values in the table.

The relationship between the quantities in the table is x

✔ × 14

equals y.

A =

✔ 56

B =

✔ 70

C =

✔ 84

Alex787 [66]2 years ago

6 0

Answer:

A= 27

Step-by-step explanation:

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a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola

Jet001 [13]

Answer:

The vertex form of the equation is $y = -\frac{1}{3}( x-1)^{2} +1$ .

Step-by-step explanation:

You will use the equation $y=a(x-h)^{2} +k$ to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get $y= a(x - 1)^{2} +1$ .

Then, we substitute the point as our x and y to get $-2 = 9a+1$ (a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the $9a$ to get $9a = 3$ . Finally, divide by 9 on both sides to get $a=\frac{1}{3}$ .

Now, substitute your $a$ back into the equation to get y = $-\frac{1}{3}(x-1)^{2}+1$ .

This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get $y = -\frac{1}{3} x^{2} +\frac{2}{3} x+\frac{2}{3}$ .