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3 years ago

Which is the graph of y = ⌊x⌋ – 2?

Mathematics

1 answer:

Alexandra [31]3 years ago

5 0

Answer:

The third graph

Step-by-step explanation:

The Greatest Integer function (also called "floor" function. is in fact the one depicted on your first graph on the left. It indicates the integer part of the real number x.

So, if one translates such function two units down , as requested by the subtraction of 2 of the function y the problem shows, one ends up with the third graph depicted on the page.

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The chart below shows the cost of the three different-sized boxes of chicken nuggets that are available at The Chicken Shack.

Semmy [17]

Answer:0.21 the large box

Step-by-step explanation: find unit rate for each box.

$1.25/5=$.25 - small

$2.07/9=$.23 - medium

$3.15/15=$.21 - large

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3 years ago

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What is the coefficient of x^4y^4 in the expansion (x+y)^8?

Ivanshal [37]

Answer:

C. 70

Step-by-step explanation:

In the expansion of (a + b)^n, the k-th term is ...

nCk·a^(n-k)b^k . . . . . k = 0 to n; nCk = n!/(k!(n-k)!)

Here, we have n=8, k=4, so the term of interest is ...

8C4·x^4y^4 = (8·7·6·5)/(4·3·2·1)x^4y^4 = 70x^4y^4

The coefficient of the term is 70.

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3 years ago

Which of the following systems has infinitely many solutions?

stich3 [128]

Answer:

Step-by-step explanation:

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3 years ago

Find the perimeter of the polygon. Round your answer to the nearest tenth.

lubasha [3.4K]

Answer:

Perimeter is 38.8 units and approximately 39 units

Step-by-step explanation:

Given: Graph

To find: perimeter of the polygon

Solution:

Distance between points $(x_1,y_1),(x_2,y_2)$ is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

As per the graph,

point P is (-2,11)

point Q is (-4,6)

point R is (2,0)

point S is (1,7)

point T is (8,7)

$PQ=\sqrt{(-4+2)^2+(6-11)^2}=\sqrt{(-2)^2+(-5)^2}=\sqrt{29}=5.4\,\,units\\QR=\sqrt{(2+4)^2+(0-6)^2}=\sqrt{(6)^2+(-6)^2}=\sqrt{72}=8.5\,\,units\\RS=\sqrt{(1-2)^2+(7-0)^2}=\sqrt{(-1)^2+(7)^2}=\sqrt{50}=7.1\,\,units\\ST=\sqrt{(8-1)^2+(7-7)^2}=\sqrt{(7)^2+(0)^2}=\sqrt{49}=7\,\,units\\PT=\sqrt{(8+2)^2+(7-11)^2}=\sqrt{(10)^2+(-4)^2}=\sqrt{116}=10.8\,\,units$

Perimeter refers to sum of lengths of all the sides.

Perimeter = $5.4+8.5+7.1+7+10.8=38.8$

Or approximately 39 units

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Naddik [55]

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