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3 years ago

Beginning at 10:30 A.M., tours of the National Capitol and the White House begin at a

Mathematics

1 answer:

Mila [183]3 years ago

8 0

The least common multiple of 12 and 15 is 60. Every hour the tours leave at the same time.

The tours will leave at the same time at 11:30, 12:30, ...

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Which system of inequalities is represented by the graph?

alexgriva [62]

Answer:

$\left\{\begin{array}{l}y\ge -x-6\\ \\ y\le 2x+4\end{array}\right.$

Step-by-step explanation:

The diagram shows shaded region which boundary is bounded with two lines.

<u>Equation of the 1st line:</u>

This line passes through the points (-6,0) and (0,-6), so its equation is

$\dfrac{x-(-6)}{0-(-6)}=\dfrac{y-0}{-6-0}\\ \\\dfrac{x+6}{6}=\dfrac{y}{-6}\\ \\y=-x-6$

<u>Equation of the 2nd line:</u>

This line passes through the points (-2,0) and (0,4), so its equation is

$\dfrac{x-(-2)}{0-(-2)}=\dfrac{y-0}{4-0}\\ \\\dfrac{x+2}{2}=\dfrac{y}{4}\\ \\y=2x+4$

The origin belongs to the shaded region, so it must satisfy both inequalities, so

$-0-6=-6\le 0\Rightarrow$ correct inequality is $-x-6\le y$

$2\cdot 0+4=4\ge 0\Rightarrow$ correct inequality is $2x+4\ge y$

Note that signsare with notion "or equal to" because lines are solid.

Answer:

$\left\{\begin{array}{l}-x-6\le y\\ \\2x+4\ge y\end{array}\right.\Rightarrow \left\{\begin{array}{l}y\ge -x-6\\ \\ y\le 2x+4\end{array}\right.$

7 0

3 years ago

Which of the following equations corresponds to the graph below

alekssr [168]

the answer would be d because it goes down 2 and over 1

3 0

3 years ago

Read 2 more answers

Triangle XYZ has vertices X(2,4), Y(3,4) and Z(3,8). Suppose you reflect this across the y-axis, then dilate it with a scale fac

mel-nik [20]

Answer:

X'' (-4, 8)

Y'' (-6, 8)

Z'' (-6, 16)

Step-by-step explanation:

The rule for reflecting across the y-axis is (x, y) -> (-x, y)

When you dilate by a scale factor of 2 about the origin, multiply each coordinate point by 2.

X (2, 4) -> (-2, 4) -> (-4, 8)

Y (3, 4) -> (-3, 4) -> (-6, 8)

Z ( 3, 8) -> (-3, 8) -> (-6, 16)

7 0

3 years ago

What is the answer to 3x-33=3

soldi70 [24.7K]

Answer:

Step-by-step explanation:

8 0

2 years ago

I need help with this!

AleksAgata [21]

9514 1404 393

Answer:

64.6

Step-by-step explanation:

One standard deviation is 4.3. Then +2 standard deviations is ...

(+2)(4.3) = +8.6

This amount added to the mean gives ...

56 +8.6 = 64.6 . . . . +2σ from the mean

5 0

2 years ago