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antoniya [11.8K]
3 years ago
11

Use the square root method to find the solutions to the quadratic equation 22

Mathematics
1 answer:
lakkis [162]3 years ago
5 0

Answer:

x = 2\sqrt{2}, -2\sqrt{2}

Step-by-step explanation:

Given

x^2 - 8 = 0

Required

Solve

We have:

x^2 - 8 = 0

Add 8 to both sides

x^2 = 8

Take square roots of both sides

x = \±\sqrt{8}

Expand

x = \±\sqrt{4*2}

This gives:

x = \±2\sqrt{2}

Split

x = 2\sqrt{2}, -2\sqrt{2}

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Suppose that the function h is defined, for all real numbers, as follows.
raketka [301]

The function h is defined, for all real numbers , answer is as follows -

h(1) = - 2

h(2) = 3

h(4) = 3.

function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable

We have been given that

h(x) = 1/4(x) - 1       if x < -2

h(x) = -(x + 1)² + 2  if -2 ≤ x < 2

h(x) = 3                  if x ≥ 2

Find h (1), h (2), and h (4)

For h (1) -

Value of h(1) for h(x) = -(x + 1)² + 2 as if -2 ≤ x < 2

So put x = 1

h(x) = -(x + 1)² + 2

h(1) = -(1 + 1)² + 2

h(1) = -4 + 2

h(1) = - 2

For h (2) -

Value of h(2) for h(x) = 3 as  if x ≥ 2

h(x) = 3

h(2) = 3

For h (4) -

Value of h(4) for h(x) = 3 as  if x ≥ 2

h(x) = 3

h(4) = 3

Hence , the value for given functions - h(1) = - 2 , h(2) = 3 and h(4) = 3.

To learn more about Function

brainly.com/question/25638609

#SPJ1

5 0
1 year ago
Determine whether each relation is a function <br> X=-2 <br> Y=2
mash [69]
X = -2 would not be a function because if you graph it, it is a vertical line. 
Y = 2 is a function because when graphed, it is shown as a horizontal line and passes the vertical line test.
7 0
4 years ago
Select all relations that represent a function.
Aliun [14]

Answer:

Hi! The answer to your question is B, D, and E

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

4 0
3 years ago
Read 2 more answers
Which expression is a factor of 9r^2-4r+1
faltersainse [42]

Answer:

There are no real factors for this.

Step-by-step explanation:

We could answer this either by checking each listed expression to see whether it is a factor of 9r^2-4r+1, or

We could take the coefficients of 9r^2-4r+1, determine the quantity b²-4ac (called the 'discriminant') and draw a conclusion based upon whether the discriminant is -, + or 0.

Let's use the 2nd approach.

Here, a = 9, b = -4 and c = 1.

Then the discriminant is b²2 - 4ac, or (-4)² - 4(9)(1), or 16 - 36.

Since 16 - 36 is negative, we conclude that this 9r^2 - 4r + 1 has NO REAL FACTORS.

6 0
3 years ago
Scientists found the wreck of the titanic 3797 m below sea level. How many km below sea level is the wreck?
WINSTONCH [101]

We are given that the titanic is found 3,797 m below sea level. This is simply equivalent to 3.797 km or 3.8 km when rounded off to one decimal.

We should take note that the letter k in km means kilo and a kilo is equivalent to 1000. So this means that for 1 km there is exactly 1000 m. So to convert, simply multiply a value with unit m with this conversion factor. Conversion factor = 1 km / 1000 m

Depth of titanic = 3,797 m (1 km / 1000 m)

Depth of titanic = 3.797 km = 3.8 km

4 0
3 years ago
Read 2 more answers
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