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lutik1710 [3]
4 years ago
5

Given the points (2,4),(-2,6),(1,3), and (0,3), categorize the domain and range.

Mathematics
1 answer:
alex41 [277]4 years ago
8 0

Answer: range: 3, domain: 4

Step-by-step explanation:

the range of a problem is basically the difference between the smallest and the largest y value. the largest y value here is 6 and the smallest is 3, so 6-3 = 3 -> 3 is your range! now for domain: the domain of a problem is the difference between the smallest and largest x value. the largest x value is 2 and the smallest is -2, so 2 - -2 = 4 -> the domain is 4! hope this helped!

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What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10
jasenka [17]

<u>Answer:</u>

 The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

<u>Solution: </u>

The given expression is (2 x-3 y)^{10}

As per binomial theorem, we know,

(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now x^{5}\times y^5 will be the 6 term where k =5

Now, \mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}

So, the coefficient of x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right.

10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252

The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

6 0
3 years ago
what is the slope of the line that passes through the point (-1,-10) and (-1,-2). answer needs to be in simplest form
Alina [70]

La formula para sacar la pendiente:

Y2-Y1/X2-X1

Respuesta:

Y2-Y1/X2-X1= -2-(-10)/-1-(-1)

= -2+10/ -1+1= 8

R=8

Espero que te sirva

3 0
3 years ago
Read 2 more answers
What is the area of a trapezoid ABCD with bases AB and CD
Delvig [45]
A= a+b/2h =10+20/2 x13 =195

I believe 195 is correct if not, I’m so sorry
3 0
3 years ago
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I NEED HELP PLEASE! :)
Romashka-Z-Leto [24]

Circle equation: (x - h) + (x - k) = r²

(h, k) = center

r = radius

The center is (-7, 4)

To find the radius, take the square root of 49.

√49 = 7

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Best of Luck!

6 0
3 years ago
PLEASE HELP ME I DONT UNDERSTAND MY HOMEWORK AND ITS TUE TODAY
Scrat [10]

Answer:

All of the above

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The question is asking you which equation you can use for you to find the value of the undefined variable, n.

In this case, all of the equations above are eligible to find the value of the variable n since regardless of the variable position, you will yet be able to find its value.

3 0
3 years ago
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