Find polynomial from zeros<br> Zeros 3i,2-i

Kim's recipe for fruit punch calls for 3 cups fruit punch syrup to 4 cups of water. Tammy's recipe for fruit punch calls for 5 c

zhannawk [14.2K]

Tammy's recipe makes a sweeter fruit punch. This is because 3/4 (Kim's recipe) equals 18/24 (Tammy's recipe) and 5/6 equals 20/24 and since 20/24 is the bigger ratio, Tammy's recipe will make a sweeter fruit punch. I hope this helps. (:

5 0

4 years ago

Find an equation in standard form for the hyperbola with vertices at (0,plus or minus 6) and asymptotes at y= (plus or minus 3/5

antoniya [11.8K]

Answer:

$\frac{(y)^2}{36}-\frac{(x)^2}{100}=1$

Step-by-step explanation:

Given:

Vertices of Hyperbola : (0 ± 6) or (0,6) and (0,-6)

and asymptotes at y= (±3/5)x 0r y= 3/5 x and y=-3/5 x

The vertices are of vertical hyperbola. The equation used will be:

$\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\\$

The Center of hyperbola (h,k) =(0,0)

The Distance from vertices to center is a and a = 6 (given)

For equation we have value of h,k and a and need to find value of b

we know,

y= k ± a/b (x-h)

Values of h and k are zero

y= 0 ± a/b (x-0)

y= (± a/b ) x

We are given asymtotes at y= (± 3/5)x which is equal to y= (± a/b ) x

as a = 6 then b= 10 i.e The simplified form of 6/10 is 3/5 so value of b=10

Putting values of a,b,h and k in equation we get,

$\frac{(y-0)^2}{(6)^2}-\frac{(x-0)^2}{(10)^2}=1\\\\\frac{(y)^2}{36}-\frac{(x)^2}{100}=1$

7 0

4 years ago

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12345 [234]

Answer:

71 baskets of 3 apples.

Step-by-step explanation:

From each of the 28 baskets of 6 you can get 6/3 = 2 baskets of 3.

From each of the 5 baskets you can get 9/3 = 3 baskets of 3.

Therefore:-

From the 28 baskets you can create 28 * 2 = 56 baskets of 3.

From the 5 baskets of 9 you can get 5 * 3 = 15 baskets of 3.

Total 15 + 56 = 71.

4 0

3 years ago

Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31) .

Zinaida [17]

Answer:

$\sf y=9x-5$

Step-by-step explanation:

$\begin{aligned}&\sf y-y_1=m(x-x_1) \\&\sf y-31=9(x-4) \\&\sf y-31=9x-36 \\&\sf y=9x-36+31 \\&\boxed{\sf y=9x-5} \end{aligned}$

6 0

3 years ago

Read 2 more answers

What is the domain of the cubic function f(x)=10x^3 +18x

sweet [91]

ANSWER

(-∞,+∞)

EXPLANATION

The given polynomial function is:

$f(x)=10x^3 +18x$

The domain refers to all values of x that make the function defined.

Polynomial functions are defined for all real values of x

The domain is the set of all real numbers.

This is written in symbolic representation as

(-∞,+∞)

8 0

3 years ago

Find polynomial from zeros Zeros 3i,2-i