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2 years ago

11

Determine a and k so the given points are on the graph of the function.

1 answer:

pshichka [43]2 years ago

3 0

Step-by-step explanation:

Explanation:

Because

(2,6) is in the function, we can plug

6 as y

and

2 as x.

From that we get

6=a(2−1)2+k

6=a+k

Same for the next point:

12=a(3−1)2+k

12=22a+k

12=4a+k

Now we have this system of equations to solve:

a+k=6

4a+k=12

Solving it leads to the conclusion that

a=2,k=4 .

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What is the missing numerator?

vitfil [10]

Answer:

6.

Step-by-step explanation:

x/7 - 3/8 = 27/56

Multiply through by 56 , as 7 * 8 = 56 we have:

8x - 3*7 = 27

8x = 27 + 21 = 48

x = 6.

8 0

2 years ago

Identify the degree, type, and lead coefficient of f(x) = x2 + 3x - 4x + 6x* - 1.

bonufazy [111]

Answer:

2, quadratic, 1

Step-by-step explanation:

Degree is the highest power which is 2 then the lead coefficient is the constant multiplying the highest power so for x^2 it is 1 and the type of equation is what is it, linear, quadratic, cubic, etc. For this it is quadratic because x^2 means its a parabola.

6 0

2 years ago

Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

4 0

2 years ago

An elf ate 15 of your muffins. that was 5/8 of all of them. how many are left?

zavuch27 [327]

Answer: 9

Step-by-step explanation:

An elf ate 15 of your muffins and that was 5/8 of all of them. To get the number of muffins left goes thus:

We can first calculate the total number of muffins the person had. Let the total number of muffins be y. That means the elf ate 5/8 of y.

5/8 of y = 15

5/8 × y = 15

0.625 × y = 15

0.625y = 15

Divide both side by 0.625

0.625y/0.625 = 15/0.625

y = 24

The total amount of muffins is 24. Since the elf has eaten 15, the amount left will be: 24-15 = 9

6 0

2 years ago

14) 25 , 13, 4, 20,16,3,2,5<br>

Igoryamba

Answer:

2,3,4,5,13,20,25 or

2,4,16,20(even number)

3,5,13,25 (odd number)

Step-by-step explanation:

6 0

2 years ago