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Mkey [24]
3 years ago
7

Given the inequalities y < 2x+7 and y > 3x-2 graphed on the same coordinate grid, which of the following coordinates gives

a true statement?
A. (6,-2)
B. (-6,-2)
C. (-4,-2)
D. None of the above
Mathematics
1 answer:
n200080 [17]3 years ago
5 0
D. None of the above.
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What is the coefficient of the third term in the binomial expansion of (a + b)6? 1 15 20 90
Sholpan [36]

Answer:  15

Step-by-step explanation:

(r+1)th term of (a+b)^n is given by:-

T_{r+1}=\ ^nC_r(a)^{n-r}b^r

For (a+b)^6 , n= 6

T_3=T_{2+1}=\ ^6C_2(a)^{6-2}(b)^2\\\\

=\ \dfrac{6!}{4!2!}a^4b^2\ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{6\times5\times4!}{4!\times2}a^4b^2\\\\=3\times5a^4b^2\\\\ =15a^4b^2

Hence, the coefficient of the third term in the binomial expansion of  (a+b)^6 is 15.

3 0
3 years ago
Read 2 more answers
The measures of the angles of a triangle are shown in the figure below. Solve for x.
sweet-ann [11.9K]

Answer:

x = 2

Step-by-step explanation:

180= 90 + 57 + Z

Z = 180 - 90 - 57

Z = 33

33 = 7X + 19

7X = 33 - 19

7X = 14

X = 2

7 0
2 years ago
20 points! Identify the solids that form the compos
Troyanec [42]

The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The composite solid's surface area is 225.4 square inches.

Step-by-step explanation:

Step 1:

The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The surface area of the composite shape is given by summing the individual surface areas.

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

Step 2:

Any cube's surface area is calculated by multiplying 6 with the square of the side length (a^2).

The cube's surface area = 6a^2 = 6(5^{2} ) = 150 square inches.

Step 3:

Any cylinder's surface area is calculated with the following formula;

The cylinder's surface area = 2 \pi r h+2 \pi r^{2} = 2 \pi (2) (4)+2 \pi (2)^{2} = 75.398 square inches

Step 4:

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.

3 0
3 years ago
A car salesperson earns a 20% commission for each car she sells. How much will she earn if she sells one car for $24,900 and ano
Anna [14]

Answer:

D. $10,540

Step-by-step explanation:

1. 20% of $24,900 is $4,980

2. 20% of $27,800 is $5,560

3. Add $4,980 to $5,560

4. Answer is $10,540 in commission

7 0
3 years ago
Y+b=10???????????????
tatyana61 [14]
5+5=10

y=5
b=5
the answer is 5 plus 5
6 0
3 years ago
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