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zlopas [31]
3 years ago
11

(x-1)²-25=0 Factor by using the difference between two squares

Mathematics
2 answers:
sesenic [268]3 years ago
8 0
The answer are x=-4, x=6. I guess
Ronch [10]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

A difference of 2 squares factors in general as

a² - b² = (a - b)(a + b)

(x - 1)² - 25 ← is a difference of squares

with a = x - 1 and b = 5, thus

(x - 1)² - 25

=(x - 1 - 5)(x - 1 + 5) = (x - 6)(x + 4), then

(x - 6)(x + 4) = 0

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 4 = 0 ⇒ x = - 4

Solutions are x = - 4, x = 6

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A country produces only apples and bananas. Moving from point A to point B along its production possibilities frontier, 5 apples
Talja [164]

Answer:

A. 4/5 of a banana

Step-by-step explanation:

Given that a country produces only apples and bananas.

Moving from point A to point B along its production possibilities frontier, 5 apples are gained and 4 bananas are forgone

i.e. preferences for 5 apples are equal to 4 bananas

5 apples = 4 bananas

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5 0
3 years ago
Guys I need help pleaSe !!!
dangina [55]

Answer:

The equations that represent an exponential decay are;

A; [y = (0.1)ˣ]

B; [y = 2·(0.3)ˣ]

Step-by-step explanation:

An exponential decay is given by the following formula;

y = a·bˣ

Where;

b < 1

For option A, we have; [y = (0.1)ˣ]

Here; a = 1, b = 0.1 < 1, therefore, the function represents an exponential decay

For option B, we have; [y = 2·(0.3)ˣ]

Here; a = 2, b = 0.3 < 1, therefore, the function represents an exponential decay

For option C, we have; \left[y = \left(\dfrac{4}{3} \right)^x\right]

Here; a = 1, b = \dfrac{4}{3} \right) > 1, therefore, the function does not represent an exponential decay

For option D, we have; \left[y = \left(\dfrac{7}{5} \right)^x\right]

Here; a = 1, b = \dfrac{7}{5} \right) > 1, therefore, the function does not represent an exponential decay

6 0
3 years ago
Write a rule to describe the reflection of A (1,5) to A (-1,5)
Anna [14]

Answer:

(x - 2, y + 0)

Step-by-step explanation:

<u>Step 1:  Figure out the translation</u>

<em>The x changes -2 units</em>

<em>The y doesn't change at all</em>

<u>Step 2:  Make a rule</u>

<em>(x - 2, y + 0)</em>

<em />

Answer:  (x - 2, y + 0)

5 0
3 years ago
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