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3 years ago

What's the answer to number 25?

Mathematics

2 answers:

tatyana61 [14]3 years ago

5 0

Find the difference

5/6-3/4 (you have to get the same denominators by multiply the individual fractions)

(5/6)*2 and (3/4)*3 to get a denominator of 12

10/12-9/12 (subtract numerators, leave denominator)
=1/12 which is the answer

Hope this helps<span />

mixer [17]3 years ago

5 0

5/6-3/4 =(20-18)/24 = 2/24
..

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4/5 cup of chocolate chips is used to make 7 granola bars. How many granola bars can be made with 4 cups of chocolate chips?

s344n2d4d5 [400]

4/5=.80

4/.80= 5

5*7= 35

You can make 35 granola bars with 4 cups of chocolate chips.

I hope this helps!
~kaikers

8 0

3 years ago

The coefficient of x^ky^n-k in the expansion of (x+y)^n equals (nk). True or false.

AVprozaik [17]

Answer:

The correct option is;

False

Step-by-step explanation:

The coefficient of x^k·y^(n-k) is nk, False

The kth coefficient of the binomial expansion, (x + y)ⁿ is $\dbinom{n}{k} = \dfrac{n!}{k!\cdot (n-k)!} = C(n,k)$

Where;

k = r - 1

r = The term in the series

For an example the expansion of (x + y)⁵, we have;

(x + y)⁵ = x⁵ + 5·x⁴·y + 10·x³·y² + 10·x²·y³ + 5·x·y⁴ + y⁵

The third term, (k = 3) coefficient is 10 while n×k = 3×5 = 15

Therefore, the coefficient of x^k·y^(n-k) for the expansion (x + y)ⁿ = $C(n,k)$ not nk

7 0

2 years ago

The parabola y=ax^2+bx-10 passes through the points (4.5,8) and (-2.5, 15). Determine the values of a and b

yuradex [85]

$y=ax^2+bx-10 \\ \\
(4.5,8) \\
8=a \times 4.5^2 + b \times 4.5-10 \\
8=20.25a+4.5b-10 \ \ \ |+10 \\
18=20.25a+4.5b \\ \\
(-2.5,15) \\
15=a \times (-2.5)^2+b \times (-2.5)-10 \\
15=6.25a-2.5b-10 \ \ \ |+10 \\
25=6.25a-2.5b$

The system of equations:
$18=20.25a+4.5b \ \ \ |\times 5 \\
25=6.25a-2.5b \ \ \ |\times 9 \\ \\
90=101.25a+22.5b \\
\underline{225=56.25a-22.5b} \\
90+225=101.25a+56.25a \\
315=157.5a \ \ \ |\div 157.5 \\
a=2 \\ \\
25=6.25a-2.5b \\
25=6.25 \times 2-2.5b \\
25=12.5 -2.5b \ \ \ |-12.5 \\
12.5=-2.5b \ \ \ |\div (-2.5) \\
b=-5 \\ \\
\boxed{a=2} \\ \boxed{b=-5} \\ \boxed{y=2x^2-5x-10}$

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Answer:

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Step-by-step explanation:

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Nesterboy [21]

Answer:

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Step-by-step explanation:

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2 years ago

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