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oee [108]
3 years ago
15

5) The teacher distributes 4 pencils per student. Can you tell how many pencils are needed for given number of students? (Use s

for the number of students.)
Mathematics
1 answer:
BARSIC [14]3 years ago
3 0

Answer:

Step-by-step explanation:

The number of pencils distributed per student is 5.

Let the given number of students be

Total number of pencils needed = Number of pencils distributed per student × Number of studentsTotal number of pencils needed =  5 × s = 5s.

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The graph of a system of equations shows the solution to be at (-6, 2). Which two of the following equations could
blondinia [14]

Answer:

Step-by-step explanation:

The graph shows the solution (-6,2)

i.e at x= -6 y=2

Analysis of each of the answers, since we can't write the equation of a straight line with only that information i.e the single point

Then,

Option 1

1. 2x - 3y = -6

x= -6 y=2

Then let insert x=-6 and y =2

2(-6)-3(2)

-12-6

-18.

Since -18 ≠ -6, then this is not the equation of the line and doesn't make up the system

Option 2

2. 4x - y = 26

Inserting x=-6 and y=2

4(-6)-(2)

-24-2

-26

Since -26 ≠ 26, then this is not the equation of the line and doesn't make up the system

Option 3

3. 3x + 2y = -14

Inserting x=-6 and y=2

3(-6)+2(2)

-18+4

-14

Since -14 ≠ -14 then this is the equation of the line and it make up the system.

Option 4

x-y = -2

Inserting x=-6 and y=2

(-6)-(2)

-6-2

-8

Since -8≠ -2, then this is not the equation of the line and doesn't make up the system

Option 5

5. x+y=-4

Inserting x=-6 and y=2

(-6)+(2)

-6+2

-4

Since -4 ≠ -4, then this is the equation of the line and it makes up the system.

Then, there are two option that make up the system

3. 3x + 2y = -14

And

5. x+y=-4

4 0
3 years ago
Ann rolls a 6 sided number cube and then chooses a card from a set numbered 1 through 9. What is the probability that she will r
Licemer1 [7]
5/9 to chose odd card, 3/6 to roll even number
6 0
3 years ago
Kate is 11 45
avanturin [10]
Kate-1145
Karina-1029
Jane-916
3 0
3 years ago
How to find function definition area
insens350 [35]

Answer:Definition area"? Do you mean the "natural domain" of the function- the region in which the formula is defined? In order that a number have a square root that number must be non-zero.

Step-by-step explanation:Here, we must have x−1x≥0.

If x is positive, multiplying both sides by x we have x2−1=(x−1)(x+1)≥0. In order for that to be true, both x- 1 and x+ 1 must have the same sign: either x-1> 0 and x+ 1> 0 or x- 1< 0 and x+ 1< 0. The first pair of inequalities is true for x> 1 and the second for x< -1. Since "x is positive", we must have x> 1.

If x is negative, multiplying both sides by x we have x2−1=(x−1)(x+1)≥0. In order for that to be true, x- 1 and x+ 1 must have opposite signs: x+ 1> 0 and x- 1< 0 or x- 1<0 and x- 1> 0. The first pair is true for −1≤0≤1. The second pair are never both true. Since "x is negative" we must have −1≤x≤0.

Of course, we also cannot divide by 0 so x= 0 is not in the domain. The domain is the union of the two separate sets:{x|−1≤x<0}∪{x|x>1}.

Hope That Helps!

8 0
4 years ago
A square has sides of length 8 inches. To the nearest tenth of an inch, what is the length of its diagonal?
SVETLANKA909090 [29]
I might be wrong, but I think it is 8.
I think it’s 8 because all side lengths are equal in a square, meaning if one side length is 8 all the other side lengths are going to be 8 also.
3 0
3 years ago
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