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3 years ago

Which type of graph is useful for demonstrating how something changes or fluctuates in value over time?

2 answers:

7 0

Line graphs (or line charts) are best when you want to show how the value of something changes over time, or compare how several things change over time relative to each other. Whenever you hear that key phrase “over time,” that's your clue to consider using a line graph for your data.

-BBBM

Otrada [13]3 years ago

3 0

No nonetheless hdbsbbsn sushi’s Hans us she had

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Suppose that it takes 4 hours of labor time to paint a room and 4 hours to sand a floor. if two workers each spend 12 hours pain

Shkiper50 [21]

It would be three floors because 4x3= 12

4 0

3 years ago

I need help! 50 points!

o-na [289]

The equation of this sinusoidal function is either

f(x) = a sin(bx) + c

f(x) = a cos(bx) + c

Either way, the plot of f9x) has amplitude a, period 2π/b, and midline y = c.

If the period is π/2, then

2π/b = π/2 ⇒ b = 4

If the maximum value is 10 and the minimum value is -4, then

-4 ≤ a sin(4x) + c ≤ 10

-4 - c ≤ a sin(4x) ≤ 10 - c

-(4 + c)/a ≤ sin(4x) ≤ (10 - c)/a

Recall that sin(x) is bounded between -1 and 1. So we must have

-(4 + c)/a = -1 ⇒ a = c + 4

(10 - c)/a = 1 ⇒ a = -c + 10

Combining these equations and eliminating either variable gives

a + a = (c + 4) + (-c + 10) ⇒ 2a = 14 ⇒ a = 7

a - a = (c + 4) - (-c + 10) ⇒ 0 = 2c - 6 ⇒ c = 3

Finally, we have either

f(x) = a sin(bx) + c ⇒ f(0) = c = 3

f(x) = a cos(bx) + c ⇒ f(0) = a + c = 3

but the cosine case is impossible since a = 7.

So, the given function has equation

f(x) = 7 sin(4x) + 3

8 0

2 years ago

Janet is 5 years older than her sister.the sum of their ages is 51.how old is her sister

Mazyrski [523]

Let us assume that the age of Janet's sister is = x
Then the age of Janet = x + 5
Now we also know that their combined age is equal to 51 years. Then we can write the equation as
x + (x + 5) = 51
2x + 5 = 51
2x = 51 -5
2x = 46
x = 46/2
   = 23
So the age of Janet = x + 5
      = 23 + 5
   = 28 years
So the age of Janet's sister is 23 and Janet's age is 28

5 0

3 years ago

Read 2 more answers

The distance around a circular dance hall room is 135 feet. What is the longest distance around the dance hall?

Naya [18.7K]

Answer: 43feet

Step-by-step explanation:

Perimeter= 135 feet

Since perimeter= 2πr

135 = 2πr

Recall that π = 3.14

135 = 2 × 3.14 × r

135 = 6.28 × r

135 = 6.28r

r = 135/6.28

r = 21.5

d = 2r

d = 2 × 21.5

d = 43 feet

4 0

3 years ago

Read 2 more answers

Writing Equations of Parallel Lines

Nookie1986 [14]

Answer:

The slope of the parallel line to the given line is $-\frac{1}{4}$

The equation of the parallel line to the given line and passes through the given point is y + 4 = $-\frac{1}{4}$ (x + 2)

The y-intercept of the parallel line to the given line and passes through the given point is $-\frac{9}{2}$

Step-by-step explanation:

The rule of the slope of the line that passes through points (x1, y1) and (x2, y2) is m = $\frac{y2-y1}{x2-x1}$

The point-slope form of the linear equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line

The slope-intercept form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept

Parallel lines have the same slopes and different y-intercepts

In the given figure

∵ The given line passes through points (2, 6) and (-6, 8)

∴ x1 = 2 and y1 = 6

∴ x2 = -6 and y2 = 8

→ Substitute them in the rule of the slope above to find it

∵ m = $\frac{8-6}{-6-2}$ = $\frac{2}{-8}$ = $-\frac{1}{4}$

∴ The slope of the given line is $-\frac{1}{4}$

∵ Parallel lines have the same slopes

∴ The slope of the parallel line to the given line is $-\frac{1}{4}$

∵ The parallel line passes through the point (-2, -4)

∴ x1 = -2 and y1 = -4

∵ m = $-\frac{1}{4}$

→ Substitute them in the point-slope form above

∵ y - (-4) = $-\frac{1}{4}$ (x - (-2))

∴ y + 4 = $-\frac{1}{4}$ (x + 2)

∴ The equation of the parallel line to the given line and passes through

the given point is y + 4 = $-\frac{1}{4}$ (x + 2)

∵ m = $-\frac{1}{4}$

→ Substitute it in the slope-intercept form above

∴ y = $-\frac{1}{4}$ x + b

→ To find b substitute x by -2 and y by -4 (coordinates the given point)

∵ -4 = $-\frac{1}{4}$ (-2) + b

∴ -4 = $\frac{1}{2}$ + b

→ Subtract $\frac{1}{2}$ from both sides

∴ $-\frac{9}{2}$ = b

∵ b is the y-intercept

∴ The y-intercept of the parallel line to the given line and passes

through the given point is $-\frac{9}{2}$

8 0

3 years ago