Solve my math problem

In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square?

Shkiper50 [21]

Hello :
f(x) = 4(x2 − 6x + 3² - 3²____) + 20 = 4((x2 − 6x + 3²) - 3²____) + 20
= 4(x-3)² -36+20
f(x) = 4(x-3)² -16 (vertex form)

6 0

3 years ago

In a fruit cocktail, for every 30 ml of orange juice you need 20 ml of apple juice and 50 ml of coconut milk. What proportion of

KengaRu [80]

Answer:

first things first, you need to find out how much juice you have: 30 + 20 + 50 = 100, so 100 ml of juice. all together, the juice is 100%, or 1. separated, the amounts are 30%, 20%, and 50%, therefore the amount of coconut milk in the cocktail you have is 50%, or 1/2.

3 0

3 years ago

Please can I have an explanation also, I am terrible at these kinds of questions!

wlad13 [49]

Answer:

The fraction of the beads that are red is

Step-by-step explanation:

Algebraic Expressions

A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:

r:y = 2:3

y:b = 5:4

We are required to find r:s, where s is the total of beads in the bag, or

s = r + y + b

Thus, we need to calculate:

$\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]$

Knowing that:

$\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]$

$\displaystyle \frac{y}{b}=\frac{5}{4}$

Multiplying the equations above:

$\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}$

Simplifying:

$\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]$

Dividing [1] by r:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}$

Substituting from [2] and [3]:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}$

Operating:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}$

The fraction of the beads that are red is $\mathbf{\frac{10}{37}}$

8 0

3 years ago

Zane's parents keep a chart on the wall where they mark how much Zane grows each year. When Zane was 15, he grew 3/5 of an inch

timurjin [86]

Answer:

1 1/10 or 11/10

Step-by-step explanation:

Zane grew 3/5 of an inch during the first year and 1/2 an inch during the second. First, you have to make sure the denominators are the same number. Then, add the numerators. Simplify if needed.

4 0

3 years ago

Read 2 more answers

A rational function g is given below. Find all values of a for which g(a)=16. g(x)=(4)/(x+1)+(20)/(x^(2)+2x+1)

aliina [53]

Answer:

a = 2/3

Step-by-step explanation:

(4(x+1) + 20 )/(x+1) = 16

4x + 4 + 20 = 16x + 16

12x = 8

x = 2/3

3 0

3 years ago