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Novay_Z [31]
3 years ago
9

help ASAP !!!!!!! A recipe calls for 2 cups of flour to make 24 cookies. What is the constant of proportionality that relates th

at relates the number of cookies made, y, to the cups of flour used, x?
Mathematics
1 answer:
zavuch27 [327]3 years ago
5 0

Answer:

1 cup of flour per 12 cookies

Step-by-step explanation:

2x=24y

divide by 2 on both sides

x=12y

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What is the rate of change represented in the graph below?
Sever21 [200]

Answer:

I'm confused you did not provide the graph that is referenced on this question...

4 0
3 years ago
Determine the coefficient of x^3 in the expansion of (1 – x)^5(1 + 1/x)^5
Mkey [24]

Notice that

(1 - <em>x</em>)⁵ (1 + 1/<em>x</em>)⁵ = ((1 - <em>x</em>) (1 + 1/<em>x</em>))⁵ = (1 - <em>x</em> + 1/<em>x</em> - 1)⁵ = (1/<em>x</em> - <em>x</em>)⁵

Recall the binomial theorem:

\displaystyle(a+b)^n = \sum_{k=0}^n\binom nk a^{n-k}b^k

Let <em>a</em> = 1/<em>x</em>, <em>b</em> = -<em>x</em>, and <em>n</em> = 5. Then

\displaystyle\left(\frac1x-x\right)^5 = \sum_{k=0}^5\binom5k\left(\frac1x\right)^{5-k}(-x)^k = \sum_{k=0}^5 (-1)^k\binom5k x^{2k-5}

We get an <em>x</em> ³ term for

2<em>k</em> - 5 = 3   ==>   2<em>k</em> = 8   ==>   <em>k</em> = 4

so that the coefficient would be

(-1)^4\dbinom54 = \boxed{5}

4 0
3 years ago
Question
klio [65]

Answer:

9x^2 + 15x -6

Step-by-step explanation:

Your problem → If f(x) = x^2 + 7x and g(x) = 3x - 1, find f(g(x))?

f(x)=x2+7x,g(x)=3x-1,fog(x)=?

g(x)=3x-1,f(x)=x2+7x

fog(x)=f(g(x))

=f(3x-1)

 =(3x-1)2+7⋅(3x-1)

=(3x-1)2+21x-7

=(9x2-6x+1)+21x-7

=9x2+15x-6

fog(x)=9x2+15x-6

4 0
3 years ago
which of the following expressions is equivalent to 3a-2ax4a+6a? (a) 4a^2+6a (b)3a-20a^2 (c) 9a-8a^2 (d) a^2
lianna [129]

Answer:

\boxed{\sf (c) \ 9a - 8 {a}^{2}}

Step-by-step explanation:

\sf Simplify  \: the \:  following: \\  \sf \implies 3a - 2a \times 4a + 6a \\  \\  \sf  - 2a \times 4a =  - 2 {a}^{2} \times 4  :  \\  \sf  \implies  \boxed{ \sf - 2 {a}^{2}  \times 4} + 3a + 6a \\  \\  \sf  - 2 \times 4 =  - 8 :  \\  \sf \implies   \boxed{ \sf- 8} {a}^{2}  + 3a + 6a \\  \\  \sf 3a + 6a = 9a :  \\  \sf \implies 9a - 8 {a}^{2}

4 0
3 years ago
Which statement below is incorrect?
Gre4nikov [31]

Answer: -The mean is not affected by the existence of an outlier.


Step-by-step explanation:

An outlier is an ultimate value in a set of data that is very much higher or lower than the other numbers. Mean is the only central tendency which is affected by the outlier. (It also affect the standard deviation)

It can affect the mean of a data set by skewing the results so that the mean is no longer representative of the data set.

The median and the interquartile range is unaffected by the existence of an outlier.

7 0
3 years ago
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