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vodka [1.7K]
2 years ago
12

Y=-|x+3| domain and range

Mathematics
1 answer:
sergejj [24]2 years ago
5 0

Answer:

the domain is that x is a set of real numbers.

the range is y ≤ -3

Step-by-step explanation:

y = -|x + 3|

y is either positive or equal to zero.

Now, x is all real numbers because any value of x used will yield a valid value of y.

Thus, we can say that the domain is that x is a set of real numbers.

Now, for the range:

The minus sign in front of the absolute value indicates that the function has a maximum value.

Thus, the range is y ≤ -3

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Which number produces a rational answer when added to 0.85
ZanzabumX [31]

The number that produces a rational answer when added to 0.85 is; 193/180

<h3>How to identify rational numbers?</h3>

A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.

Now, let us convert 0.85 to a fraction. Thus;

0.85 = 85/100 = 17/20

From the given options, the only one that when added to 0.85 will yield a rational number is 2/9. This is because;

17/20 + 2/9 = 193/180

193/180 is a rational number.

The missing options are;

A. 2/9

B. 0.2645751311...

C. √2

D.

Read more about rational numbers at; brainly.com/question/4694420

#SPJ1

3 0
1 year ago
For the table below, determine the function rule, and find each of the missing y-values.
anygoal [31]
The answer is 8 and 13

<span>
y = ax + b
y = 4, x = 1        </span>⇒  4 = a + b
y = 6, x = 3       ⇒  6 = 3a + b

Solve the system of equation:
a + b = 4
3a + b = 6
______
b = 4 - a
3a + b = 6
______
3a + 4 - a = 6
2a + 4 = 6
2a = 6 - 4
2a = 2
a = 2/2 = 1
b = 4 - a = 4 - 1 = 3

So, the function rule is: y = x + 3

Thus, if x = 7, then y = 7 + 3 = 10
If x = 10, then y = 10 + 3 = 13


x y
1 4
3 6
4 7
5 8
7 10
10 13
6 0
2 years ago
5. By using prime factorisation, determine if 324 and 588 are<br> perfect squares.
ad-work [718]

Step-by-step explanation:

first do prime factorization of 324= 2×2×3×3×3×3

= 2 square, 3 square,3 square

therefore 324 is a perfect square

Now,

prime factorization of 588=2×2×3×7×7

= 2 square,7 square ,3

therefore 588 is not a perfect square

3 0
2 years ago
2. Consider the line segment below.
PtichkaEL [24]
If AB is 128 centimeters long what is xe
3 0
2 years ago
The cost to purchase 3 sandwich rolls is $0.48. How much will it cost to<br> purchase 20 rolls?
spayn [35]

Answer:

$3.2

Step-by-step explanation:

0.48 ÷ 3 = 0.16

0.16*20=3.20

Hope this helps

7 0
2 years ago
Read 2 more answers
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