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2 years ago

Write down 4 pairs of integers a and b such that a divided by b is -5

Mathematics

1 answer:

vodka [1.7K]2 years ago

8 0

1. 20 and -4
2. 15 and -3
3. 10 and -2
4. 5 and -1

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Can someone help me with this

Nady [450]

Answer:

Step-by-step explanation:

a) -14 , -9 , -4 , 1 ................

Common difference = d = 2nd term - 1st term

= -9-[-14]

= -9 + 14

d = 5

The next term can be got by adding 5 to the previous term

5th term = 1 + 5 = 6

6th term = 6 + 5 = 11

7th term = 11 + 5 = 16

Next 3 terms are : 6 , 11 , 16

$b) \frac{5}{6},\frac{2}{3},\frac{1}{2},\frac{1}{3},.....\\\\d = \frac{2}{3}-\frac{5}{6}\\\\=\frac{2*2}{3*2}-\frac{5}{6}\\\\=\frac{4}{6}-\frac{5}{6}\\\\=\frac{-1}{6}\\\\a_{5} = \frac{1}{3}+\frac{-1}{6}=\frac{1*2}{3*2}+\frac{-1}{6}=\frac{2}{6}+\frac{-1}{6}=\frac{1}{6}\\\\a_{6}=\frac{1}{6}+\frac{-1}{6}=0\\\\a_{7}=0+\frac{-1}{6}=\frac{-1}{6}\\\\\\Next 3 terms : \frac{1}{6},0,\frac{-1}{6}$

7 0

3 years ago

What are the domain and range of the function f(x) = 2^x+1?

scoundrel [369]

Answer:

Domain: (-∞, ∞)

Range: (0,∞)

Step-by-step explanation:

Exponential functions are curves which approach a horizontal asymptote usually at y=0 or the x-axis unless a value has been added to it. If it has, the curve shifts. This function has addition on the exponent but not to the whole function so it does not change the asymptote. Its y - values remain between 0 and ∞. This is the range, the set of y values.

However, the range of exponentials can change based on the leading coefficient. If it is negative the graph flips upside down and its range goes to -∞. This doesn't have it either.

The addition to 1 on the exponent shifts the function to the left but doesn't change the range.

In exponential functions, the x values are usually not affected and all are included in the function. Even though it shifts, the domain doesn't change either. Its domain is (-∞, ∞).

Domain: (-∞, ∞)

Range: (0,∞)

5 0

2 years ago

Need this asap pleaseeeee

Alex787 [66]

Answer:

615.6

Step-by-step explanation:

14 to the power of 2 is 196

196 multiplied by pi is 615.6

Hope this helps!

8 0

2 years ago

How many cups are in 7 3/4 gallons?

Schach [20]

Answer:

124 us cups

Explanation:

6 0

2 years ago

Read 2 more answers

Summary information on the heights of 64 bass and 42 tenor singers, all men, in the New York Choral Society is given. The vocal

aleksley [76]

Answer:

Hello your question has some missing information below is the missing information

Sample mean and Sample standard deviation

Bass 70.99 and 2.52

Tenor 69.41 and 2.79

answer : <em>We will reject H0 </em>

Step-by-step explanation:

<u>Determine whether the population mean height of bass singers > population mean height of tenor singers </u>

n1 = 64 , n2 = 42

x1 ( mean ) = 70.99

x2( mean ) = 69.41

S1 ( std 1 ) = 2.52

S2 ( std 2 ) = 2.79

We will perform a two tailed test hence we will state the null and alternate hypothesis

H0 : μ1 > μ2

H1 : μ1 < μ2

significance level = 0.01

next calculate the test statistic

t = 2.96

attached below is the remaining part of the detailed solution

7 0

3 years ago