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Leto [7]
2 years ago
14

Determine domain and range from graph

Mathematics
1 answer:
Rasek [7]2 years ago
3 0

Domain: (-∞,∞)

Range: (-∞,-3]

Step-by-step explanation:

A quadratic equation graphs a parabola. Therefore there will be arrows on the bottom of the graph as it will go down forever. The domain (min x-values to max x-values) is

(-∞,∞) because the graph keeps on going down and to the right and left. The range (min y-values to max y-values) is (-∞,-3] because the lowest y-value the graph goes to is -∞ nd the highest y-value is -3.

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Write a recrusive rule for the exponential function<br>f(x)=0.25(2/3)^x​
krok68 [10]

Answer:

f(0) = 0.25 = 1/4

f(x) = f(x-1) × 2/3

Step-by-step explanation:

a0 = 0.25×(2/3)⁰ = 0.25×1 = 0.25 = 1/4

a1 = 0.25×(2/3)¹ = 0.25×(2/3) = 1/4 × 2/3 = 2/12 = 1/6 =

= a0 × 2/3

a2 = 0.25×(2/3)² = 0.25×(4/9) = 1/4 × 4/9 = 4/36 = 1/9 =

= a1 × 2/3

=>

an = an-1 × 2/3, n >= 1

but what about negative x ?

is a0 = a-1 × 2/3 ?

a - 1 = 0.25 \times  {(2 \div 3)}^{ - 1}

so, yes, a0 = a-1 × (2/3)

and a-1 = a-2 × (2/3)

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4 0
2 years ago
at the northgate fabric store, there are 5 scrap pieces of cloth. their lengths are 1/2 yrd, 3/10 tard, 5/6 yard, 1/3 yard, and
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Answer: 71/30 or 2 and 11/30 yards

Work:
You need to add each fraction together in order to find the total amount of fabric. You should do this by finding common denominators (the number on the bottom of the fraction) and then combining fractions. 
Since the order of adding doesn't matter, you should combine the fractions that are the easiest first. Start with adding 1/2 and 1/3. The common denominator is 6, since that is the LCM of 2 and 3. The fractions then become 3/6 and 2/6 which combine into 5/6. It is then easy to add the other 5/6 of a yard from the question to the 5/6 you have just found into 10/6. 
Then come over to the 3/10 and 2/5 yard pieces which can be easily added together using 10 as the common denominator. These two fractions added together become 7/10.
The final step is to add the 7/10 plus the 10/6. The common denominator is 30, as it is the LCM of 10 and 6. The new fractions become 21/30 plus 50/30 which equals 71/30. 
5 0
2 years ago
Laura received a box of chocolates for her birthday. The chocolates in the box have five different fillings. The table below sho
Kitty [74]
In this question we are asked to find the ratio of the number of chocolates which Lauren liked and the total of chocolates.

We know she doesn't like coconut and toffee, so she likes caramel, mint and cherry. When we count the ones she liked, we got 16+12+14=42.

When we add to find how many chocolates are there, we got 16+10+12+14+8=60.

To find the ratio we need to divide the first one and the second one: \frac{42}{60} = \frac{7}{10} = 0.7 is our probability.
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3 years ago
A hot air balloon is 910 feet above sea level. It is rising at a rate of 4 feet fee second. How high is the hot air balloon afte
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Answer:

1230

Step-by-step explanation:

80 x 4 = 320

320 + 910 = 1230

5 0
1 year ago
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