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4 years ago

Which statement is true about the graphed function?

Mathematics

1 answer:

zubka84 [21]4 years ago

7 0

Answer:

Option A.

Step-by-step explanation:

In the given graph there are four intervals in which we have to find the nature of function.

1). In the interval (-∞, -0.7)

f(x) < 0

Because for every value of x, value of the function is negative.

2). In the interval (-0.7, 0.76)

f(x) > 0

For each value of x, value of the function is greater than 0.

3). In the interval (0.76, 2.5)

f(x) < 0

Because in this interval value of the function is negative.

4). Interval (2.5, ∞)

f(x) > 0

Because value of the function for every value of x, is greater than 0.

When we compile all four properties Option A. comes out to be the right option.

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Two complementary angle are in the ratio of 4:11 find the bigger angle

Xelga [282]

Answer:

bigger angle is 66° ......

6 0

3 years ago

Roberto hikes 21.48 miles on one weekend. The next weekend he hikes 30 miles. How much less is the distance he hiked on the firs

Alex Ar [27]

Answer:

he hiked 8.52 more =)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The line passes through the point (-4,1) and is perpendicular to the line y=1/2x-4.

zepelin [54]

Answer:

y=-2x-7

Step-by-step explanation:

lines are typically written in y=mx+b form, where m is the slope and b is the y intercept

we are given the line y=1/2x-4

perpendicular lines are negative and reciprocal; if the slopes are multiplied together, the result is -1

so to find the slope of the new line, use this formula:

1/2m=-1

multiply by 2

m=-2

so the slope is -2

here's the equation so far, written in y=mx+b form

y=-2x+b

we need to find b

because the line passes through the point (-4,1), we can use it to solve for b

substiute -4 as x and 1 as y

1=-2(-4)+b

1=8+b

-7=b

so b is -7

therefore the line is:

y=-2x-7

Hope this helps! :D

4 0

3 years ago

(x - 6)². Multiply it and simplify it

SpyIntel [72]

Answer:

x^2-12x+36

Step-by-step explanation:

The first step in solving this equation is to expand the square which makes the equation (x-6)(x-6). Then you distribute the x to both parentheses which leaves you with x^2-6x, and then you distribute the 6 to both parentheses which gives you 6x+36. Then add both binomials which leaves you with x^2-12x+36. The reason it is +36 and not -36 is because you are multiplying a negative 6 by another negative 6.

6 0

2 years ago

Ishmail jogs around a track that is in the shape of a regular pentagon. One side of the pentagon is ¼ mile long. How far does Is

svlad2 [7]

Answer:

Ishmail will jog 7 1/2=7.5 miles if he completes 6 laps around the track if the track is pentagon.

Ishmail will jog 9 miles if he completes 6 laps around the track, if the track is hexagon .

Step-by-step explanation:

length of one side of pentagon = 1/4 miles

we know that number of sides of pentagon = 5

thus, total length of pentagon = number of sides * length of one side of pentagon = 5* 1/4 = 5/4

If anyone takes 1 lap of pentagon he will travel 5/4 miles

then,If anyone takes 1*6 lap of pentagon he will travel (5/4)*6 miles

thus, in 6 laps 15/2 miles will be traveled.

Ishmail will jog 15/2 ( 7 1/2 )miles if he completes 6 laps around the track.

_______________________________________

we know that number of sides of hexagon = 6

thus, total length of hexagon = number of sides * length of one side of hexagon = 6*( 1/4) = 3/2 miles

If anyone takes 1 lap of hexagon he will travel 3/2 miles

then,If anyone takes 1*6 lap of hexagon he will travel (3/2)*6 miles

thus, in 6 laps, 9 miles will be traveled.

Ishmail will jog 9 miles if he completes 6 laps around the track.

3 0

3 years ago