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zlopas [31]
3 years ago
5

Is 5.78778777 irrational or rational?

Mathematics
1 answer:
VikaD [51]3 years ago
5 0

it depends if that's a rounded answer. If that's rounded, then yes, it's irrational. If not, then it is rational.
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Can someone please help me with this last one. I am totally lost and don’t understand
Ad libitum [116K]

Answer:

g(-4) = -1

g(-1) = -1

g(1) = 3

Explanation:

If you are given a function that is defined by a system of equations associated with certain intervals of x, just find which interval makes x true, and then substitute x into the equation of that interval.

For example, given g(-4), this is an expression which is asking for the value of the equation when x = -4. So -4 is not ≥ 2, so ¼x - 1 will not be used. -4 is also not ≤ -1 and ≤ 2, so -(x - 1)² + 3 will not be used either. So in turn, we will just use -1 which is always -1 so g(-4) will just be -1, right because there is no x variable in -1 so it will always be the same.

Using the same idea as before g(-1) is g(x) when x = -1 so -1 will not be a solution because -1 is not less than -1 (< -1). -1 is not ≥ 2 either so we will be using the second equation because -1 is part of the interval -1≤x≤2 (it is a solution to this inequality), therefore -(x - 1)² + 3 will be used.

As x = -1, -(x - 1)² + 3 = -(-1 - 1)² + 3 = -(-2)² + 3 = -4 + 3 = -1.

It is a coincidence that g(-1) = -1.

Now for g(1), where g(x) has an input of 1 or the value of the function where x = 1, we will not use the first equation because x = 1 → x < -1 → 1 < -1 [this is false because 1 is never less than -1], so we will not use -1.

We will use -(x - 1)² + 3 again because 1 is not ≥ 2, 1≥2 [this is also false]. And -1 ≤ 1 < 2 [This is a true statement]. Therefore g(1) = -(1 - 1)² + 3 = -(0)² + 3 = 3

4 0
3 years ago
Apples are sold in bags of four that cost $5, or bags of six that costs $7 per bag. What is the smallest cost at which you can b
babunello [35]
STEP 1:
BAGS OF FOUR
find number of bags needed to total 74 apples

= 74 ÷ 4 apples/bag
= 18.5 bags

*must round up to 19 bags because we cannot buy a partial bag

STEP 2:
BAGS OF FOUR
calculate price of 19 bags of 4 apples per bag

= 19 bags * $5/bag
= $95 for 19 bags of 4 apples/bag

STEP 3:
BAGS OF SIX
find number of bags needed to total 74 apples

= 74 ÷ 6 apples per bag
= 12.3333 bags needed

*must round up to 13 bags because we cannot buy a partial bag

STEP 4:
BAGS OF SIX

calculate price of 13 bags of 6 apples per bag

= 13 bags * $7 per bag
= $91 for 13 bags of 6 apples/bag


ANSWER: The smallest cost to buy 74 apples is $91.

Hope this helps! :)
3 0
3 years ago
PLS HELP WILL GIVE BRAINLY!!
cricket20 [7]

Answer:

Step-by-step explanation:

1 milli liter = 0.135 grams

182.8 ml = 0.135 * 182.8 = 24.678 grams

7 0
3 years ago
The students at Woodward Elementary voted for a school mascot. The falcon won with 58 of the votes and the eagle came second wit
Anuta_ua [19.1K]

Answer:

67 students voted for the eagle

Step-by-step explanation:

The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second with 1/3 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle

Total students who voted = 536

Falcon won with 5/8 of the votes

5/8 of 536

=5/8 × 536

= 2,680/8

= 335 votes

Falcons won with 335 votes

Remaining votes = Total votes - falcons votes

= 536 - 335

= 201 votes

There are 201 votes remaining

Eagle came second with 1/3 of the remaining votes

1/3 of the remaining votes

= 1/3 × 201

= 201/3

= 67 votes

67 students voted for the eagle

5 0
3 years ago
What is the slope of a line perpendicular to the line whose equation is 3x-3y=54. Fully simplify your answer.​
padilas [110]
Perpendicular = opposite sign and reciprocal slope
Make equation into y = mx + b
Add 3y to both sides
3y + 54 = 3x
Subtract 54
3y = 3x - 54
Divide by 3
y = x - 18
The slope is 1
Make it negative and reciprocal
= -1/1 = -1

Solution: the slope will be -1
7 0
3 years ago
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