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3 years ago

Find two consecutive positive odd integers whose product is 35.

Mathematics

2 answers:

elena55 [62]3 years ago

8 0

5 and 7 are the integers that answer this question

ludmilkaskok [199]3 years ago

5 0

2 consecutive odd integers: x, x+2

x* (x+2) = 35

x^2+2x=35

subtract 35 from each side

x^2 +2x-35=0

(x+7) (x-5)=0

x=-7 x=5

they must be positive so x=5

5,5+2

Answer: 5,7

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Goods on an invoice have been calculated as £1,495. Total discount has been calculated as £149 and VAT is £269.20. What is the t

damaskus [11]

Answer:

£1,616.2

Step-by-step explanation:

1,496 - 149 = 1347

1347 + 269.20 = 1616.2

7 0

3 years ago

A. [4 marks]

storchak [24]

The value of d is -2

Step-by-step explanation:

The nth term of the arithmetic sequence is $u_{n}=u_{1}+(n-1)d$ , where

$u_{1}$ is the first term
d is the common difference between each 2 consecutive terms

The nth term of the geometric sequence is $u_{n}=u_{1}r^{n-1}$ , where

$u_{1}$ is the first term
r is the common ratio between each two consecutive terms $r=\frac{u_{2}}{u_{1}}=\frac{u_{3}}{u_{2}}$

∵ $u_{1}$ of an arithmetic sequence is 1

∵ The common difference is d, where d ≠ 0

∵ $u_{2}$ , $u_{3}$ , $u_{6}$ are the first 3 terms of a geometric sequence

∵ $u_{2}$ = 1 + (2 - 1)d

∴ $u_{2}$ = 1 + d

∵ $u_{3}$ = 1 + (3 - 1)d

∴ $u_{2}$ = 1 + 2d

∵ $u_{6}$ = 1 + (6 - 1)d

∴ $u_{2}$ = 1 + 5d

∴ The first 3 terms of the geometric sequence are (1 + d) , (1 + 2d) ,

(1 + 5d)

∵ The common ratio in the geometric sequence is $r=\frac{u_{2}}{u_{1}}=\frac{u_{3}}{u_{2}}$

∴ $r=\frac{1+2d}{1+d}=\frac{1+5d}{1+2d}$

- Use cross multiplication with the equal fractions

∵ $\frac{1+2d}{1+d}=\frac{1+5d}{1+2d}$

∴ (1 + 2d)(1 + 2d) = (1 + d)(1 + 5d)

∴ 1 + 2d + 2d + 4d² = 1 + 5d + d + 5d²

- Add like terms in each side

∴ 1 + 4d + 4d² = 1 + 6d + 5d²

- Subtract 1 from both sides

∴ 4d + 4d² = 6d + 5d²

- Subtract 4d from both sides

∴ 4d² = 2d + 5d²

- Subtract 4d² from each side

∴ 0 = 2d + d²

- Take d as a common factor

∴ 0 = d(2 + d)

- Equate each factor by 0

∴ d = 0 but we will reject it because d ≠ 0

∴ 2 + d = 0

- Subtract 2 from both sides

∴ d = -2

The value of d is -2

Learn more:

You can learn more about the sequence in brainly.com/question/1522572

#LearnwithBrainly

7 0

3 years ago

What is the solution to the equation 1.6m − 4.8 = −1.6m?

Alla [95]

1.6m − 4.8 = −1.6m
- 1.6m -1.6m
 -4.8 = -3.2m

divide both sides by -3.2

m = 1.5

7 0

3 years ago

in justin's school,0.825 of students participate in a sport. if there are one thousand students in justin's school, how many pat

goblinko [34]

175 because 1,000-825=175

7 0

2 years ago

The cost of a taxi ride is equal to $3.50 plus $0.25 for each mile. If a ride costs a total of $6.75 how long was the ride?

jeka57 [31]

Answer:

13 miles

Step-by-step explanation:

Write and solve an equation involving this information, using x as the distance traveled, in miles:

Cost(x) = $6.75 = $3.50 + ($0.25/mile)x

First, subtract $3.50 from both sides, obtaining: $3.25 = ($.25/mile)x.

Next, divide both sides by $0.25/mile:

$3.25

x = ------------------ = 13 miles

$0.25/mile

The length of the taxi ride was 13 miles.

7 0

3 years ago