Is it subtracting that I need to do or is it adding?

What's the vertex of the following equation<br> x² - 6x + 5

igomit [66]

Answer:

Step-by-step explanation:

To find the vertex, change the following equation into graphing form (vertex form)

(x-3)^2-4 - graphing form

The vertex is (3,-4) because you find the x intercept by doing the opposite of -3, and -4 is in the equation.

vertex=

(3,-4)

7 0

3 years ago

Which point corresponds to the real zero of the graph of y = log3 (x+2) - 1?

brilliants [131]

Answer:

(1, 0 )

Step-by-step explanation:

using the rule of logarithms

$log_{b}$ x = n ⇒ x = $b^{n}$ , then

y = $log_{3}$ (x + 2) - 1

to find the zero let y = 0 , that is

$log_{3}$ (x + 2) - 1 = 0 ( add 1 to both sides )

$log_{3}$ (x + 2) = 1 , then

x + 2 = $3^{1}$ = 3 ( subtract 2 from both sides )

x = 1

the zero is (1, 0 )

8 0

2 years ago

How would you solve the equation 4× =100

gogolik [260]

Answer:

divide both sides by 4

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the midpoint of X (26,56) and Y (26,1)

Svetradugi [14.3K]

Answer:

(26, $\frac{57}{2}$ )

Step-by-step explanation:

Hi there!

We are given the coordinates (26, 56) and (26, 1)

We want to find the midpoint of these two points

The midpoint can be found using the formula $(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2})$ , where $(x_1, y_1)$ & $(x_2, y_2)$ are points

We have 2 points, which is what we need to find the midpoint, but let's label the values of the points to avoid confusion and mistakes when actually calculating

$x_1=26\\y_1=56\\x_2=26\\y_2=1$

Now substitute these values into the formula.

$(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2})$

$(\frac{26 + 26}{2} , \frac{56+ 1}{2})$

Add the numbers together

$(\frac{52}{2} , \frac{57}{2})$

Divide

(26, $\frac{57}{2}$ )

Hope this helps!

4 0

2 years ago

Read 2 more answers

It is believed that a stock price for a particular company will grow at a rate of $5 per week with a standard deviation of $1. A

IgorLugansk [536]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = $5

For the alternative hypothesis,

µ < $5

number of samples taken = 10

Sample mean, x = (4 + 3 + 2 + 3 + 1 + 7 + 2 + 1 + 1 + 2)/10 = 2.6

To determine sample standard deviation, s

s = √(summation(x - mean)/n

n = 12

Summation(x - mean) = (4 - 2.6)^2 + (3 - 2.6)^2 + (2 - 2.6)^2 + (3 - 2.6)^2 + (1 - 2.6)^2 + (7 - 2.6)^2 + (2 - 2.6)^2 + (1 - 2.6)^2 + (1 - 2.6)^2 + (2 - 2.6)^2 = 30.4

s = √30.4/10 = 1.74

Since the number of samples is 10 and no population standard deviation is given, the distribution is a student's t.

Since n = 10,

Degrees of freedom, df = n - 1 = 10 - 1 = 9

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.6

µ = population mean = 5

s = samples standard deviation = 1.74

t = (2.6 - 5)/(1.74/√10) = - 4.36

We would determine the p value at alpha = 0.05. using the t test calculator. It becomes

p = 0.000912

7 0

3 years ago