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Kruka [31]
3 years ago
8

What is the interval used in the graph shown below? A. 4 B. 9 C. 10 D. 11

Mathematics
1 answer:
grin007 [14]3 years ago
7 0

Answer:

The answer is 10 :))

Step-by-step explanation:

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Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. a.)(x - 4)2 = 3 b.) (x - 3)2 = 2 c.)(x - 2)2 = 1 d.
loris [4]
The answer is <span>a.)(x - 4)2 = 3.

(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b                                 ⇒ x² - 2ax + a² - b = 0

Our equation is                x² - 8x + 13 = 0.
The general formula is    x² - 2ax + (a² - b) = 0

Thus:
8x = 2ax    and a² - b = 13

Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a           ⇒ a = 8 ÷ 2 = 4

Replace a in the second equation (a² - b = 13):
4² - b = 13     ⇒ b = 4² - 13 = 16 - 13 = 3

Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3
4 0
3 years ago
Sales of 10000 increased by 65% each year write a function that represents the situation
erastovalidia [21]

Answer: y=10000(1.65)^x


Step-by-step explanation:

Given: The sales of 10000 increased by 65% each year .

Let x be the number of years.

The rate of growth=65%= 0.65

The exponential growth function is given by

y=A(1+r)^x

, where A is initial amount and r is the rate of growth in decimal.

Then the increase in the sales id given by :-

y=10000(1+0.65)^x\\\Rightarrow\ y=10000(1.65)^x

6 0
3 years ago
What is the probability of rolling a number greater than 4 on a fair number cube (dice)? (Simplify to lowest terms)
Reptile [31]

Answer:

1/3

Step-by-step explanation:

there are 2 numbers greater than 4 on dice and there are 6 numbers on a die

3 0
3 years ago
Which is bigger 6.951 or 6.9313?
fomenos

Answer:

6.51

Step-by-step explanation:


7 0
3 years ago
You play a board game with your little brother. You pick a card that sends you back five spaces. On your next turn, you must mov
ElenaW [278]

Answer:

Step-by-step explanation:

Moving back will be indicated by a negative value, forward will be positive.

- 5 + (-3) + 3 is the correct option.

5 0
3 years ago
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