All categories

2 years ago

The product of two consecutive positive integers is 56. Find the two integers

Mathematics

1 answer:

vredina [299]2 years ago

7 0

Answer:

Two consecutive integers are of the form

x and x + 1

Their product is equal to 56

x(x + 1) = 56

Solve and find the two numbers x and x + 1. The above equation may be written as follows

x2 + x - 56 = 0

Factor and solve

(x - 7)(x + 8) = 0

solutions: x = 7 , x = -8

x= - 8 is not valid since the number sought must be positive. Hence

x = 7 and x + 1 = 8 are the two consecutive numbers.

Step-by-step explanation:

You might be interested in

6. a. Ir.) : (x ) is a point on a line passing through<br> (2.3) and (4.5)<br> What is the range?

Fed [463]

This is a linear function which means that there is no restrictions on domain and range. The range is all real numbers.

3 0

2 years ago

Need help with this pls <br> (Show work pls)

____ [38]

Answer:

6 hours

Step-by-step explanation:

6.50 - 2.00 = 4.50

4.50 ÷ 0.75 = 6

5 0

3 years ago

Write an equation for each linear function described. Show your work. The graph of the function passes through the point (2,1),

svp [43]

Step-by-step explanation:

The graph of the function passes through the point (2,1), and

y increases by 4 when x increases by 1.

x y

2 1

3 5

4 9

5 13

6 17

and so on

From the table:

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(2,\:1\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)$

$m=\frac{5-1}{3-2}$

$m=4$

As the slope-intercept form of the line is

$y=mx+b$

putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.

$1=\left(4\right)2+b$

$8+b=1$

$8+b-8=1-8$

$b=-7$

So putting $b=-7$ and $m=4$ in the slope-intercept form of the line

$y=\left(4\right)x+\left(-7\right)$

$y=4x-7$

Therefore, the equation for the linear function will be:

$y=4x-7$

8 0

2 years ago

The monthly income of Ram is Rs 40,000. If he paid Rs 8,000 as income tax. Find the rate of income tax.

frosja888 [35]

Hello!

Rate of income tax = Tax paid / Monthly income

⇒ Rate = 8,000 / 40,000

⇒ Rate = 0.2

⇒ Rate = 20%

∴ The rate of income tax is 20%.

5 0

2 years ago

A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of

vodka [1.7K]

Answer:

the 35 mile one spent 20 gallons of gas and the 15 miles one spent 25 gallons

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers