All categories

4 years ago

One positive integer is 2 less than another. the product of the two integers is 24. what are the integers?

Mathematics

1 answer:

ehidna [41]4 years ago

8 0

Answer:

The numbers are 6 and 4

Step-by-step explanation:

Let x = integer

The second is x-2

Product of x*(x-2) is 24

x(x-2) = 24

Distribute

x^2 -2x =24

Subtract 24 from each side

x^2 -2x -24 =24-24

x^2 -2x-24 =0

Factor

What two number multiply together to give 24 and add to -2

-6*4= -24

-6+4 = -2

(x-6) (x+4) =0

Using the zero product property

x-6 =0 x+4 = 0

x=6 x=-4

The question states the number is positive

x=6

The second number is x-2 = 4

The numbers are 6 and 4

You might be interested in

a(x+b)=4x+10 in the equation above a and b are constants. if the equation has infinitely many solutions for X, what is the value

xeze [42]

Answer:

$b= \frac{5}{2}$

Step-by-step explanation:

Given

$a(x+b)=4x+10\\ax+b= 4x+10\\$

Now we know that system has infinite solution for x

$\frac{a_1}{a_2}=\frac{b_1}{b_2}$

in above equation.

$a_1=a, a_2=4, b_1=ab,b_2=10\\$

∴ $\frac{a}{4}=\frac{ab}{10}\\\therefore b=\frac{10\times a}{4\times a}=\frac{5}{2}$

7 0

3 years ago

A bag contains 6 red balls and 5 black balls . Two balls are picked , one after the other . Find the probability that :

Kaylis [27]

Answer:

<u>There are:</u>

6 red balls - R
5 black balls - B
Total number = 11 balls

<h3>A. Without replacement</h3>

i. <u>Two blacks </u>

P(BB) = 5/11*4/10 = 2/11

ii. <u>The first is black</u>

P(B) = 5/11

or, alternatively

P(BR or BB) = 5/11*6/10 + 2/11 = 3/11 + 2/11 = 5/11

iii. <u>Both are of same colour</u>

P(BB or RR) = 2/11 + 6/11*5/10 = 2/11 + 3/11 = 5/11

<h3>B. With replacement</h3>

i. <u>Two blacks </u>

P(BB) = 5/11*5/11 = 25/121

ii. <u>The first is black</u>

P(B) = 5/11

or alternatively

P(BR or BB) = 5/11*6/11 + 25/121 = 30/121 + 25/121 = 55/121 = 5/11

iii. <u>Both are of same colour</u>

P(BB or RR) = 5/11*5/11 + 6/11*6/11 = 25/121 + 36/121 = 61/121

7 0

3 years ago

Can I PLEASE get some help?

Leviafan [203]

Well 1/40 is 0.025 so that should be the write fraction to use

4 0

3 years ago

Read 2 more answers

1. f(x) = x² - 4 ; if x is even = 3x – 2; if x is odd solve for f(4) and f(5)

vovikov84 [41]

<h3>Answers:</h3><h3>f(4) = 12</h3><h3>f(5) = 13</h3>

=======================================================

Explanation:

This is a piecewise function as it is composed of two pieces.

The equation for f(x) depends on what x is. Specifically whether it is even or odd.

If x is even, then f(x) = x^2-4. If x is odd, then f(x) = 3x-2

------------

f(4) means f(x) when x = 4. We have an even number input for x, so we'll go with f(x) = x^2-4

f(x) = x^2 - 4

f(4) = 4^2 - 4

f(4) = 16 - 4

f(4) = 12

------------

When x = 5, x is now odd, so use f(x) = 3x-2

f(x) = 3x-2

f(5) = 3(5) - 2

f(5) = 15 - 2

f(5) = 13

5 0

3 years ago

Name the Property of Congruence that justifies the statement If XY = WX then WX = XY ?

Orlov [11]

I believe below are the choices that can be found else where.

a.symmetric property
<span>b.transitive property </span>
<span>c.reflexive property </span>
<span>d.none of these
</span>
The answer is c which is reflexive property. <span>The </span>Reflexive Property<span> states that for every real number x , x = x . Symmetric </span>Property<span>. The Symmetric </span>Property<span> states that for all real numbers x and y , if x = y , then y = x . Transitive </span>Property<span>.</span>

6 0

4 years ago

Read 2 more answers