T= {(8,4),(-5,-1),(8,-6)}

3/4x+2-1/3x=12 What is the answer?

mash [69]

Answer:

x=24 or 25

Step-by-step explanation:

90% is x=24

89.999999 repeat% is x =25

6 0

2 years ago

Transforming quadratic graphs

rewona [7]

Answer:

f(x) = 3(x - 2)² + 4

OR

f(x) = 3x² - 12x + 16

Step-by-step explanation:

Vertex form of a parabola:

y = a(x - h)² + k

Standard form of a parabola:

y = ax² + bx + c

Let's find the vertex of this parabola.

(h, k) → (2, 4)

In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.

Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.

7 = a[(3) - (2)]² + 4

Simplify using PEMDAS.

7 = a(1)² + 4
7 = a + 4

Subtract 4 from both sides.

a = 3

Now we have (h, k) and a of the vertex form.

y = a(x - h)² + k → y = 3(x - 2)² + 4

In order to convert from vertex to standard form, simplify the equation by FOILing.

y = 3(x - 2)² + 4

y = 3(x² - 4x + 4) + 4

Distribute 3 inside the parentheses.

y = 3x² - 12x + 12 + 4

Combine like terms.

y = 3x² - 12x + 16

Therefore, we have the answer:

Vertex form:

f(x) = 3(x - 2)² + 4

Standard form:

f(x) = 3x² - 12x + 16

8 0

3 years ago

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

WITCHER [35]

The minimum sample size required to estimate the mean usage of water = 2225.07

What is Standard deviation?

In statistics, the standard deviation (SD, also represented by the Greek letter sigma σ or the Latin letter s) is a measure that is used to quantify the amount of variation or dispersion of a set of data values.

We can find the minimum sample size required to estimate the mean usage of water as shown below:

Standard deviation $\sigma =3.61$

Margin of error E=0.15

Critical value for 95% confidence interval = 1.96

Required minimum sample size: $n=(\frac{Z_{\frac{\alpha}{2}}.\sigma }{E} )^2$

$=(\frac{1.96\times 3.61}{0.15} )^2$

=2225.07

Hence, the minimum sample size required to estimate the mean usage of water = 2225.07

Learn more about Standard deviation here:

brainly.com/question/22920224

#SPJ4

7 0

2 years ago

Help pls !! what is the value of K ?

Fofino [41]

The values of K is 10
Hope this helps:)

6 0

2 years ago

Calculate the following expressionusing the order of operations. show all steps( do not combine more than two numbers together a

Neko [114]

Answer: $204\frac{2}{5}$

Step-by-step explanation:

Given the following expression:

$(\frac{7}{15}+\frac{125}{9})^2-16(\frac{0.25}{2})$

You can follow these steps in order to solve the exercise:

1. You need to solve the operations inside the parentheses:

- Add the fractions. Since they have different denominators, you have to find the Least Comon Denominator (LCD):

$15=3*5\\9=3*3=3^2\\LCD=5*3^2=45$

- Solve the division divididing the numerator 0.25 by the denominator 2.

Then, you get:

$(\frac{(3)(7)+(5)(125)}{45})^2-16(\frac{0.25}{2})\\\\(\frac{646}{45})^2-16(0.125)$

2. Solve the exponent:

$\(\frac{417,316}{2,025}-16(0.125)$

3. Solve the multiplication:

$\(\frac{417,316}{2,025}-2$

4. Solve the subtraction:

$\(\frac{417,316-(2,025)(2)}{2,025}=\frac{413,266}{2,025}\approx204.08$

5. Since :

$0.8=\frac{2}{5}$

You can write the result as a mixed fraction:

$=204\frac{2}{5}$

7 0

3 years ago