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4 years ago

The number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9 is

Mathematics

1 answer:

zzz [600]4 years ago

4 0

Answer:

120

Step-by-step explanation:

Upon pondering the wording here, I am thinking this must be a permutation. The words "distinct digits" tell me, for some reason, that order matters. The formula for the permutations of this is

₆P₃ = $\frac{6!}{(6-3)!}$ which simplifies to

$\frac{6!}{3!}=\frac{6*5*4*3!}{3!}=120$

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How to show the number 38 in three different ways

BlackZzzverrR [31]

38
thirty eight
30+8

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3 years ago

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What is the value of x + y(3 − x) when x = −5 and y = 3?

grandymaker [24]

Answer:

Step-by-step explanation:

x + y(3 − x)

Let x = -5 and y = 3

-5 +3(3 - -5)

Subtracting a negative is like adding

-5 +3(3+5)

Parentheses first

-5 +3(8)

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3 years ago

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Find the solutions to the following linear-quadratic systems algebraically. Select the ordered pair that is one of the correct s

Ghella [55]

Answer:

(-2, 6)

Step-by-step explanation:

we have

$y=x^{2} +3x+8$ ----> equation A

$y=2x+10$ ----> equation B

equate equation A and equation B

$x^{2} +3x+8=2x+10$

$x^{2} +3x+8-2x-10=0$

$x^{2} +x-2=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} +x-2=0$

$a=1\\b=1\\c=-2$

substitute in the formula

$x=\frac{-1\pm\sqrt{1^{2}-4(1)(-2)}} {2(1)}$

$x=\frac{-1\pm\sqrt{9}} {2}$

$x=\frac{-1\pm3} {2}$

$x=\frac{-1+3} {2}=1$

$x=\frac{-1-3} {2}=-2$

Find the values of y

For x=1

$y=2(1)+10=12$

For x=-2

$y=2(-2)+10=6$

therefore

The solutions are (1,12) and (-2,6)

3 0

3 years ago

Similar Figures / Proportions

irinina [24]

Answer:

44.8

Step-by-step explanation:

Because it is similar. 60/19 = 3.157894736842105, which around 3.2.

You need LJ and a similar triangle have 14. So, 14 *3.2 = 44.8

3 0

3 years ago

23.3238 rounded to the nearest hundreath

poizon [28]

Answer:

23.32

Step-by-step explanation:

the hundredths place is the 2 spot after the decimal

and if the # to the right of that # is 5 or grater you add a one

if it is 4 or lower you keep the # the same

23.3238

because 3 is next to the second place the 2 just stays the same

so now it's

23.32

8 0

3 years ago