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3 years ago

One pound of grapes costs $2. at this rate how many dollars will c pounds of grapes cost

Mathematics

1 answer:

ella [17]3 years ago

5 0

C pounds of grapes would cost $2c.

Hope this helps!

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Please help with these one variable linear inequalities

kozerog [31]

Answer:

$t > - 16$

Step-by-step explanation:

The inequality sign must be changed when it is multiplied/divided by a negative number

6 0

3 years ago

For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7

Sloan [31]

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k$

Also

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

I think you mean $210x^6y^4$

We can deduce that this term will be located somewhere in the middle. So I will calculate $k= 5; k=6 \text{ and } k =7$ .

For $k=5$

$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just $x^{n-k} y^k$

For $k=6$

$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$

5 0

3 years ago

Which list of ordered pairs is NOT a function? Mark only one oval. {(1, 1), (2, 3), (3, 4), (4,5)} ){(1, 1), (2, 2), (3, 3), (4,

Mrac [35]

Answer:

{(1, 1), (1, 3), (2, 3), (3,4)} is not a function.

Step-by-step explanation:

The lists are:

a) {(1, 1), (2, 3), (3, 4), (4,5)}

b) {(1, 1), (2, 2), (3, 3), (4,4)}

c) {(1, 1), (3, 1), (4,2), (5, 3) }

d) {(1, 1), (1, 3), (2, 3), (3,4)}

Firs, let's define what is a function.

A function is a relationship that maps elements from a set (the domain, is the set of the inputs) into elements of another set (the range, the set of the outputs) such that each element of the domain can be mapped into only one element of the range.

Then the list where we have the same input mapped into two different outputs, will not be a function.

Where in a ordered pair (x, y)

x is the input, and y is the output.

In this case, the list that is not a function is:

d) {(1, 1), (1, 3), (2, 3), (3,4)}

because we have the input x = 1, mapped into two different outputs.

5 0

3 years ago

What is x X/5=15. ⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️⌚️

kotegsom [21]

Answer:

x=3

Step-by-step explanation:

15/5=3 now I gotta get 20 chatacters

4 0

3 years ago

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Plzzzzzzzz helllllllppppppppp

Naddik [55]

Answer:

1/4p +1.5

Step-by-step explanation:

p = plant stand

The bookshelf is 1/4 the height of the plant stand plus 1.5 ft

1/4p +1.5

4 0

2 years ago

Read 2 more answers