Answer:) Let p(x) = x51 + 51 . …(i)
When we divide p(x) by x+1, we get the remainder p(-1)
On putting x= -1 in Eq. (i), we get p(-1) = (-1)51 + 51
= -1 + 51 = 50
Hence, the remainder is 50.
Step-by-step explanation:
Answer: 1 4/5 / 2/7 = 63/
10
= 6 3/10
= 6.3
Step-by-step explanation:
Conversion a mixed number 1 4/
5
to a improper fraction: 1 4/5 = 1 4/
5
= 1 · 5 + 4/
5
= 5 + 4/
5
= 9/
5
To find a new numerator:
a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5/
5
= 5/
5
b) Add the answer from previous step 5 to the numerator 4. New numerator is 5 + 4 = 9
c) Write a previous answer (new numerator 9) over the denominator 5.
One and four fifths is nine fifths
Divide: 9/
5
: 2/
7
= 9/
5
· 7/
2
= 9 · 7/
5 · 2
= 63/
10
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/
7
is 7/
2
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - nine fifths divided by two sevenths = sixty-three tenths.
Answer:
B, E
Step-by-step explanation:
It can be helpful to factor the first two terms:
f(x) = x^2(x -7) +36
This can make it easier to evaluate the function for different values of x.
The answer choices suggest you need to know whether f(5) and f(-14) match the values given here.
f(5) = 5^2(5 -7) +36 = -50 +36 = -14 . . . . matches choice B (and E)
f(-14) = (-14)^2(-14-7) +36 = -21(196) +36 . . . . <em>does not match</em> choice A (or D)
__
The one remaining answer choice we need to consider is C. If we look at f(0) for this equation, we find it is (-5)(-10) +14 = 64, which <em>does not match</em> f(0) = 36 for the function given in the problem statement.
The only true answer choices are B and E.
_____
The remainder theorem tells you that f(a) = the remainder from f(x)/(x -a).
Check the picture below. So the ellipse looks more or less like so.
since the major axis is over the x-axis, is a horizontal ellipse, notice the "a" component length and the value for "c".
Answer:
Price of Mira Breakfast = 9 $ before tip
Step-by-step explanation:
Let say Mira's breakfast Price = B $
Tip she left = 20 %
20 % Tip amount = (20/100) B = 0.2B $
Tip Amount She left = $ 1.8
Equating Tip Amount
0.2B = 1.8
=> B = 9
Price of Mira Breakfast = 9 $ before tip
Step-by-step explanation:
