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Sonja [21]
3 years ago
14

-8-8(6n+1) solve using distributive property

Mathematics
1 answer:
cupoosta [38]3 years ago
8 0

Answer:

-48n-16

Step-by-step explanation:

-8 -8(6n +1)

= -8 + -48n + -8

= (-48n) + (-8 + -8)

= -48n + -16

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1) What does the equation x = 4 represent in R^2? a) a circle.b) a plane.c) a line.d) a pointWhat does it represent in R^3? a) a
Sunny_sXe [5.5K]

Answer:

The equation x=4 represents in R^2 c) a line

The equation x=4 represents in R^3 a) a plane

The equation y+3x=2 represents in R^3 a) a plane

The equation z-4y=8 represents d) a plane

The pair of equations y=2,z=8 represents a) a line

Step-by-step explanation:

Let's start by studying each question :

1)

In R^2 , x=a with a ∈ IR is the equation of all vertical lines

In this case, the only free variable is the variable ''y''

R^2 has two dimensions (x and y) so if we set x=4 we will have only one free variable in R^2 (which is a line in R^2). Therefore, x=4 represents a line in R^2

Now, in R^3 we have three dimensions (x, y and z) so if we set x=4 we will have only two free variables (y and z) and x=4 will represent a plane (which have two dimensions) in R^3.

2) The equation y+3x=2 in R^3 has the free variable ''z'' and given that we select a value (for example for ''x'') the another value from the variable ''y'' is determined. Finally, we have the free variables ''z'' and ''x'', and the variable ''y'' restricted for our choice of the variable ''x''.

The equation y+3x=2 in R^3 (given that we have two free variables) represents a plane.

Using the same reasoning, the equation z-4y=8 represents a plane (given that it has two free variables : ''y'' and ''x'')

Finally, the pair of equations y=2,z=8 set values for ''y'' and ''z'' leading us ''x'' as the free variable. With only one free variable we will have a ''one dimensional'' geometric form. The one dimensional forms in R^3 are lines.

The final answer is a) a line.

5 0
3 years ago
For which pairs of functions is (f * g) (x)?
Ronch [10]

Answer:

The pairs of functions that best represent the equation are f(x)=x² and g(x)=1/x

Step-by-step explanation:

For this problem, you will have to multiply each equation in the answer choices until you find the pair that has a product of x.

Let's start with the first answer choice.

(f * g)(x)

<em>f(x)=x²</em>

<em>g(x)=1/x</em>

Now, we multiply these terms together.

x² * 1/x = x²/x

Now, divide x from x². When you are dividing exponents, the exponential numbers subtract. So, since there is no exponent on x, then we assume this exponent to be 1. So, when dividing you will subtract 1 from 2.

x²/x = x

So, the answer to the problem is answer choice A. These functions multiply together to get you a final product of x.

7 0
3 years ago
Wanda the Witch knows Halloween is coming up soon so she
Korolek [52]

Answer:

mathematics ba talaga po ba ito?

5 0
3 years ago
A club has 10 members.
TEA [102]
That is the combination of 10 over 3, which is calculated as the quotient of factorials:
n!/k!(n-k)!
where n = 10 and k = 3:
= 10!/3!(10 - 3)!
= 10!/3!*7!
= (10*9*8)/(3*2*1)
= 720/6
= 120
therefore there a re 120 possible different groups
6 0
3 years ago
Read 2 more answers
1. Eight people work in an office. They are paid hourly rates of 12£,15£,15£,14£,14£,13£,14£,13£
bearhunter [10]

Answer:

mean=110/8 =13.75 pounds;  median=14 pounds; mode=14 pounds; average=13.75 pounds

Step-by-step explanation:

mean=add all the numbers together to get total then divide that total by the number of amounts present 12, 15, 15, 14, 14, 13, 14, 13 =110, then 110/8=13.75 pounds

mode=arrange amounts in order (smallest to largest), then determine which amount appears more than the other amounts 12, 13, 13, 14, 14, 14, 15, 15 =14 appears the most

median=organize numbers from smallest to greatest, count how many there are, then determine which number appears in the middle of all of them 12, 13, 13, 14, 14, 14, 15, 15 = there are 8 numbers present but 14 is in the middle; answer =14

average= take total of mean, then divide it by the number of amounts that appear 110/8 =13.75

8 0
3 years ago
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