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4 years ago

Tell weather the given value is a solution of the inequality

Mathematics

2 answers:

Iteru [2.4K]4 years ago

7 0

Hello there!

No, the number given is not a solution of the inequality

r - 3 ≤ 9

Let's start by adding 3 to both sides

r - 3 + 3 ≤ 9 + 3

r ≤ 12

I hope this helps. Good luck with your studies~

natta225 [31]4 years ago

4 0

Yes, 8 is a solution

r - 3 ≤ 9; r = 8

plug in 8 to r

(8) - 3 ≤ 9
5 ≤ 9 (true)

hope this helps

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Find two numbers whose sum is 8 and whose product is 17

vodka [1.7K]

Answer:

Step-by-step explanation:

x+y = 8

y = 8-x

xy = 17

x(8-x) = 17

8x - x² = 17

x² - 8x + 17 = 0

Quadratic formula

x = [8 ± √(8² – 4·1·17)] / [2·1]

= [8 ± √(-4)] / 2

= [8 ± 2i] /2

= 4±i

x = 4+i

y = 4-i

7 0

3 years ago

ollegr [7]

Answer:

x = 2

y = -3

z = 4

( 2 , -3, 4 )

Step-by-step explanation:

x + y + z = 3 ---- i

x – y =5 ---- ii

y - z = -7 ---- iii

ii + iii

x - z = -2 ---- iv

i + ii

2x + z = 8 --- v

iv + v

3x = 6

x = 2

x=2 substitute for v

z = 4

x =2 substitute for ii

y = -3

5 0

3 years ago

There are 20 student desks

liq [111]

Answer:

It would be 502 inches.

Step-by-step explanation Ok so, Just do 20 x 25.1 that would give you your answer.

You multiply it because there is going to be 20 desk But they are 25.1 inch k?

8 0

4 years ago

Problem

Aleksandr-060686 [28]

Answer:

$-\dfrac{463}{7}$

Explanation:

Given equation: 2x² - 6x - 7 = 0

In quadratic equation: ax² + bx + c

$Sum \ of \ roots : \alpha + \beta = \dfrac{-b}{a}$

$product \ of \ roots : \alpha \beta = \dfrac{c}{a}$

So, here given:

$Sum : \alpha + \beta = \dfrac{-(-6)}{2} = 3$

$Product : \alpha \beta = \dfrac{-7}{2} = - 3.5$

For finding value:

$\dfrac{\alpha^3}{\beta } + \dfrac{\beta^3 }{\alpha }$

join fractions

$\dfrac{\alpha^4+ \beta^4}{\alpha \beta }$

factor out

$\dfrac{(\alpha^2 + \beta ^2)^2 -2\alpha ^2 \beta ^2 }{\alpha \beta }$

when factored more

$\dfrac{((\alpha + \beta)^2 -2\alpha \beta )^2 -2(\alpha \beta)^2 }{\alpha \beta }$

insert values inside

$\dfrac{((3)^2 -2(-3.5) )^2 -2(-3.5)^2 }{-3.5 }$

calculate for value

$-\dfrac{463}{7}$

4 0

2 years ago

Here is Diya's work writing the expression 6 - 2x + 5 + 4x with fewer terms. Describe the mistake that Diya made.

Rom4ik [11]

Answer:

Below.

Step-by-step explanation:

This is the correct solution:

6 - 2x + 5 + 4x

= -2x + 4x + 6 + 5

= 2x + 11.

It looks like they added unlike terms together (4x + 5) to give 9x (incorrect) then added the 4x to give 13x.

3 0

2 years ago