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4 years ago

3/22 + -1/11 Add this fraction

Mathematics

1 answer:

Mashcka [7]4 years ago

7 0

You need to use a common denominator. The least common denominator of 11 and 22 is 22.

3/22 + -1/11 = 3/22 + -2/22 = 3/22 - 2/22 = 1/22

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The Ferris wheel shown makes 14 revolutions per ride. How far would someone travel during one ride? Round your final answer to t

sammy [17]

Answer:

2374.8 feet

Step-by-step explanation:

5 0

3 years ago

0.0007716049 as a fraction

elena55 [62]

To write 0.0007716049 as a fraction you have to write 0.0007716049 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.0007716049 = 0.0007716049/1 = 0.007716049/10 = 0.07716049/100 = 0.7716049/1000 = 7.716049/10000 = 77.16049/100000 = 771.6049/1000000 = 7716.049/10000000 = 77160.49/100000000 = 771604.9/1000000000 = 7716049/10000000000

so your answer is: 7716049/10000000000

7 0

4 years ago

The 6 consecutive integers is 393 what is the third number in this sequence

MAXImum [283]

X+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)=393
6x+15=393
6x=393-15
6x=378
x=63
third one is 63+2=65

3 0

3 years ago

F(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, ∞) and g(x) = 2x2 + 8x + 6,

svetlana [45]

Answer:

B) Both functions have the same domain.

C) Both functions have the same x-intercepts.

D) Both functions are decreasing on the interval (−∞, −2).

Step-by-step explanation:

step 1

Find the vertex of f(x)

we know that

The x-coordinate of the vertex is the midpoint of the roots

we have

x=-1 and x=-3

the midpoint is

(-1-3)/2=-2

The y-coordinate of the vertex is -4 (because the range is [−4, ∞))

therefore

The vertex of f(x) is the point (-2,-4)

Is a vertical parabola open upward

The vertex is a minimum

The domain is all real numbers

step 2

we have

$g(x)=2x^2+8x+6$

Find the vertex

Factor the leading coefficient

$g(x)=2(x^2+4x)+6$

Complete the square

$g(x)=2(x^2+4x+4)+6-8$

$g(x)=2(x^2+4x+4)-2$

Rewrite as perfect squares

$g(x)=2(x+2)^2-2$

Is a vertical parabola open upward

The vertex is the point (-2,-2)

The domain is all real numbers

The range is the interval [−2, ∞)

Find the x-intercepts

For g(x)=0

$0=2(x+2)^2-2$

$2(x+2)^2=2$

$(x+2)^2=1\\x+2=\pm1\\x=-2\pm1$

The roots or x-intercepts are

x=-1 and x=-3

<u><em>Verify each statement</em></u>

A) Both functions have the same vertex

The statement is false

The vertex of f(x) is (-2,-4) and the vertex of g(x) is (-2,-2)

B) Both functions have the same domain.

The statement is true

The domain is all real numbers

C) Both functions have the same x-intercepts

The statement is true (see the explanation)

D) Both functions are decreasing on the interval (−∞, −2)

The statement is true

Because the x-coordinate of the vertex is the same in both functions, and both functions open upward

7 0

3 years ago

Read 2 more answers

Describe the difference between parallel and perpendicular lines, their slopes and graphs

Aloiza [94]

Parallel lines have the same slopes (but different y intercepts). Parallel lines never cross. Parallel lines are the same distance from each other no matter where you are on either line. Think of it like a pair of perfectly straight railroad tracks.

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Perpendicular lines cross at one point. The two lines form a 90 degree angle. The two slopes multiply to -1, which is another way of saying that the slopes are negative reciprocals of one another. For example, a line with a slope of 2/3 and another line with a slope of -3/2 has these two values multiply to -1; therefore showing they are perpendicular lines.

7 0

3 years ago

Read 2 more answers