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vodka [1.7K]
3 years ago
12

Y=-|x+3| domain and range

Mathematics
1 answer:
sergejj [24]3 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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Amy can clean the interior of her car in 3 hours. If Amy and her husband work together,
leva [86]

Answer:

1 hour

Because 3 - 2  = 1.

Therefore, 1 hour only.

5 0
2 years ago
If p q r is prime numbers such that pq+r=73, what is the least possible value of p+q+r
Jobisdone [24]
The answer to this question would be: p+q+r = 2 + 17 + 39= 58

In this question, p q r is a prime number. Most of the prime number is an odd number. If p q r all odd number, it wouldn't be possible to get 73 since
odd x odd + odd= odd + odd = even
Since 73 is an odd number, it is clear that one of the p q r needs to be an even number. 

There is only one odd prime number which is 2. If you put 2 in the r the result would be:
pq+2= 73
pq= 71
There will be no solution for pq since 71 is prime number. That mean 2 must be either p or q. Let say that 2 is p, then the equation would be: 2q + r= 73

The least possible value of p+q+r would be achieved by founding the highest q since its coefficient is 2 times r. Maximum q would be 73/2= 36.5 so you can try backward from that. Since q= 31, q=29, q=23 and q=19 wouldn't result in a prime number r, the least result would be q=17
r= 73-2q
r= 73- 2(17)
r= 73-34=39

p+q+r = 2 + 17 + 39= 58
6 0
3 years ago
Read 2 more answers
there are 150 more passenger cars than trucks on the highway. for every 10 passenger cars there are 7 trucks. how many trucks ar
lora16 [44]

Answer:

500

Step-by-step explanation:

Given: P = 150 - T where P is passenger cars and T is trucks

10P = 7T ⇔ P = \frac{7T}{10}

Plug in equation 2 into equation 1:

\frac{7T}{10} = 150 - T

Solving for T, we get 500

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3 years ago
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What is the period of `y = 1+ tan((1)/(2)x)`?
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2π is the period of `y = 1+ tan((1)/(2)x)`
7 0
3 years ago
What is the answer to (-7) x (3) x (-4)
azamat

Answer:

The answer is 84

Step-by-step explanation:

(-7)*(3)*(-4)

negatives cancel out: 7*3*4

Simplify: 84

7 0
3 years ago
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