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Verdich [7]
2 years ago
7

PLEASE ANSWER QUICKLY Which of the following is the correct graph of the compound inequality 4p + 1 > -15 and 6p + 3 < 45?

Mathematics
1 answer:
Umnica [9.8K]2 years ago
3 0

Answer:

abce

Step-by-step explanation

correct

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If a and b are integers such that a2 − b2 = 100, what is the greatest possible value of a?
tatyana61 [14]

Answer:

26

Step-by-step explanation:

Question says that 'a' and 'b' are integers that implies we cannot have 'a' and 'b' in the form of decimals.

Now, lets expand the given equation:

a^2-b^2=100

(a+b)(a-b)=100

Lets say: (a+b)=p, (a-b)=q

Let us consider the factor pairs of 100.

(1 \times 100), (2 \times 50), (4 \times 25), (5 \times 20), (10 \times 10), (20 \times 5), (25 \times 4), (50 \times 2), (100 \times 1)

Only factor pair (2,50) gives us the integer values of 'a' and 'b'.

a+b=50....equation  (1)

a-b=2........ equation (2)

adding equation 1 and 2, we get:

2a=52

a=\frac{52}{2}=26

a-b=2

Plugging the value of 'a' in the equation 2

26-b=2

b=24

So the greatest possible value of 'a' is 26.  

5 0
4 years ago
Which data set has a wider spread? Why? Set A: {9, 11, 24, 11, 4, 20, 16, 7, 18, 15, 28, 6} Set B: {9, 12, 15, 3, 21, 24, 5, 9,
olchik [2.2K]
Data Set A:
Lowest Value is 4
Highest Value is 28
Range = 28 - 4 = 24

Data Set B:
Lowest Value is 3
Highest Value is 24
Range = 24 - 3 = 21

Data Set A has bigger range than Data Set B, hence it has a wider range

Answer: Set A has a wider spread because its range is greater.
7 0
3 years ago
the population of a town is 9,000, and it grows at a rate of 7% per year. What will the population be in 6 years?
mojhsa [17]

Answer:

the population would be 300,100

3 0
3 years ago
Choose the correct description of the graph of the compound inequality: x − 1 less than or equal to 7 or 2x greater than or equa
notsponge [240]
The first one cuz if u put it and draw it on a number line and make sense out of it you will see the first one makes sense 
4 0
3 years ago
The length of a rectangle is given by 5t + 4 and its height is √t, where t is time in seconds and the dimensions are in centimet
vovikov84 [41]

Answer: 11.5 cm to the power of 2/s

Step-by-step explanation:

6 0
3 years ago
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