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Dmitry [639]
3 years ago
5

Solve 15 ≥ -3x or x ≥ -2.

Mathematics
1 answer:
vivado [14]3 years ago
4 0

Answer:

x ≥ - 2.

Step-by-step explanation:

We have to solve the compound inequality.

It is 15 ≥ - 3x or x ≥ - 2

Now, from the first part we have  

15 ≥ -3x

⇒ -\frac{1}{3} \times 15 \leq  -\frac{1}{3}(- 3x)

⇒ - 5 ≤ x

⇒ x ≥ - 5 ....... (1)

And the second part is x ≥ -2 ......... (2)

Therefore, the conditions (1) and (2) will both be true if x ≥ - 2.

Hence, this is the solution. (Answer)

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The x values are the domain and they y values are the range. So the domain is {-2, 0, 2}. And the range is {-1, 0, 1}. So B is the answer.

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3 years ago
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Gre4nikov [31]

Answer:

Explanation below.

Step-by-step explanation:

1. a. \sqrt{x} =12

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  c. x=144

2. a. \sqrt{x^{2} } =\sqrt{196}

   b. x= 14

3.  

\sqrt{x} -4 +4= 8+4\\\sqrt{x} =12\\x= 3.46410161514  \\or  \\2\sqrt{3}

4.

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7 0
3 years ago
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Alexandra [31]

Answer:

(0,-1)

Step-by-step explanation:

(0,-1) will work because when you plug them is it is equivalent to 4

6 0
3 years ago
A boy has twice as many nickels as he has pennies, and he has 5 less dimes than nickels. If he has $4.46 in all, how many coins
Zarrin [17]
N=2p
n/2=p

n-5=d

10d+5n+1p=446
subsitute n/2 for p
subsitute n-5 for d
10(n-5)+5n+n/2=446
times 2 both sides
20(n-5)+10n+n=892
expand
20n-100+10n+n=892
31n-100=892
add 100 both sides
31n=992
divide both sides by 31
n=32

subsitute back

n/2=p
32/2=16=p


n-5=d
32-5=d=27


27 dimes
16 pennies
32 nickles
7 0
2 years ago
What is the slope of line segment AB?<br> A) 2/3<br> B) 3/4<br> C) 4/3<br> D) -3/4
Lunna [17]

For this case we have that by definition, the slope of a line is given by:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Where:

(x_ {1}, y_ {1})and (x_ {2}, y_ {2})are two points through which the line passes.

According to the image we have:

(x_ {1}, y_ {1}): (-5,3)\\(x_ {2}, y_ {2}): (3, -3)

Substituting we have:

m = \frac {-3-3} {3 - (- 5)} = \frac {-6} {3 + 5} = \frac {-6} {8} = - \frac {3} {4}

Thus, the slope of the line is:

m = - \frac {3} {4}

Answer:

m = - \frac {3} {4}

3 0
3 years ago
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