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3 years ago

11

The division sign and the capital letter "T", is there any rotational symmetry and how so?

1 answer:

kirill115 [55]3 years ago

5 0

Answer:

Rotational symmetry 1

Step-by-step explanation:

You will get only one rotational symmetry when you turn 360

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Which explanation uses the number line to show 5 + (-5) =0

Ray Of Light [21]

Answer:

+5 is right and - 5 is left

Step-by-step explanation:

I. If 5 + (-5) = 0

then 5 - 5 = 0

If 5 is on the right side

then -5 is on the left side

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2 years ago

PLEASE HELP ASAP!!! How many 1/2-cup servings are there in 3/4 of a cup of cereal?

stellarik [79]

Answer:

there is only 1 but you have some left over so maybe 2

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3 years ago

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Find number a and k so that x-2 is afactor<br>OF F(x)=x4-2ax tax-<br>X+k and F(-1)=3

Slav-nsk [51]

Question:

Find numbers a and k so that x-2 is a factor of

$f(x)=x^4-2ax^3+ax^2- x+k$

and

$f(-1)=3$

Answer:

$k = -2$ and $a=1$

Step-by-step explanation:

Given

$f(x)=x^4-2ax^3+ax^2- x+k$

$Factor:\ x - 4$

$f(-1)=3$

Required

Find a and k

For $f(-1)=3$

Substitute -1 for x

$f(x)=x^4-2ax^3+ax^2- x+k$

$f(-1) = (-1)^4 - 2a *(-1)^3 + a*(-1)^2 - (-1) + k$

$f(-1) = 1 - 2a *-1 + a*1 +1 + k$

$f(-1) = 1 +2a + a +1 + k$

$f(-1) = 2 +3a + k$

Substitute 3 for f(-1)

$3 = 2 +3a + k$

Collect Like Terms

$3 - 2 = 3a + k$

$1 = 3a + k$

Also:

If $x - 2$ is a factor, then

$f(2) = 0$

Substitute 2 for x and 0 for f(x)

$f(x)=x^4-2ax^3+ax^2- x+k$

$0 = 2^4 - 2a * 2^3 + a * 2^2 - 2 + k$

$0 = 16 - 2a * 8 + a * 4 - 2 + k$

$0 = 16 - 16a + 4a - 2 + k$

$0 = 16 - 12a - 2 + k$

Collect Like Terms

$2 - 16 = - 12a + k$

$-14 = k - 12a$

$k = 12a - 14$

Substitute 12a - 14 for k in $1 = 3a + k$

$1 = 3a + 12a - 14$

$1 = 15a - 14$

Collect Like Terms

$15a = 1 + 14$

$15a = 15$

Solve for a

$a = \frac{15}{15}$

$a=1$

Substitute 1 for a in $k = 12a - 14$

$k = 12 * 1 - 14$

$k = 12 - 14$

$k = -2$

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2 years ago

leon charged $75 at an interest rate of 12.5%. How much will leon have to pay after one month if he makes no payments?

Alexeev081 [22]

I believe that the question is assuming this is taking place over one month here is what I think you would do.

1) 75/12.5 = 6
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3 years ago

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If a die is rolled one time find these probabilities of getting a 2

lapo4ka [179]

1/6
the die has six sides 1,2,3,4,5,6
to get 2, you have one chance from 6
you get
1/6

8 0

3 years ago