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3 years ago

The graph below shows the distance in miles, m, hiked from a camp in h hours.

Mathematics

2 answers:

Artist 52 [7]3 years ago

6 0

Answer:

Option 1) is correct

Step-by-step explanation:

Given: The graph shows the distance in miles, m, hiked from a camp in h hours.

To find: hourly interval that had the greatest rate of change

Solution:

Rate of change between two points refers to the vertical change divided by the horizontal change.

For hour 0 to hour 1:

rate of change = $\frac{2-0}{1-0}=2$

For hour 2 to hour 3:

rate of change = $\frac{4.5-3.5}{3-2}=1$

For hour 1 to hour 2:

rate of change = $\frac{3.5-2}{2-1}=1.5$

For hour 3 to hour 4:

rate of change = $\frac{5-4.5}{4-3}=0.5$

So, rate of change is greatest in interval: hour 0 to hour 1

Dominik [7]3 years ago

6 0

Answer:

1. 2 and 3

2.150

3. continued its journey

Step-by-step explanation:

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Solve the system of linear equations below.

uysha [10]

Answer:

x=−7/39 and y=14/39 :))

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3 years ago

Select the correct answer.

Nataly_w [17]

Answer:

<em>The translation corresponds to a translation of 13 units to the right</em>

Step-by-step explanation:

<u>Translation of a Graph</u>

If the graph of

y=f(x) is translated a units horizontally, then the equation of the translated graph is

y =f(x - a)

The value of a is considered positive for translations to the right.

The parent function is

y = x

and the given function is

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The translation corresponds to a translation of 13 units to the right

6 0

3 years ago

How many faces does the solid made from the net below have? A. 7B. 8C. 12D. 18

Kruka [31]

Answer:

B. 8

Explanation:

The figure forms a septagon.

The hexagons form the base, and the rectangles attached to them form the sides.

Therefore, in total the solid has two hexagons as sides and 6 rectangles connecting the hexagon to the base hexagon. Hence, in total the solid has

2 + 6 = 8 faces.

7 0

2 years ago

Could someone answer these 3 for me?

KengaRu [80]

Answer:

x=4.77

Angle 3=98.32 degrees

Angle 6= 81.68 degrees

Step-by-step explanation:

(Assuming these are parallel lines), Angle 3 and angle 5 are equal because they are alternate Angles. Therefore we can write the following equation to solves for x:

16x+22=3x+84 (angle 3=angle5)

Which we can now solve:

16x +22 - 22 - 3x=3x-3x+84-22

13x=62

13x/13=62/13

x=4.77 (2dp)

We can then use this x to calculate angle 3:

16(4.77)+22

76.33+22=98.32 degrees

Finally,

Angle 6 and angle 3 are interior angles, so they add up to 180 degrees.

So to find angle 6,we can just subtract angle 3 from 180:

180-98.32=81.68 degrees.

Hope this helped!

6 0

3 years ago

The roots of $3x^2 - 4x + 15 = 0$ are the same as the roots of $x^2 + bx + c = 0,$ for some constants $b$ and $c.$ Find the orde

Akimi4 [234]

we are given

quadratic equation as

$3x^2-4x+15=0$

now, we can find b and c from

$x^2+bx+c=0$

we can see that coefficient of x^2 is 1

so, we will have to make coefficient x^2 as 1

so, we divide both sides by 3

$3x^2-4x+15=0$

$\frac{3x^2-4x+15}{3}= \frac{0}{3}$

$\frac{3x^2}{3}-\frac{4x}{3}+\frac{15}{3}= \frac{0}{3}$

now, we can simplify it

$x^2-\frac{4}{3}x+5= 0$

now, we can compare it with

$x^2+bx+c=0$

we get

$b=-\frac{4}{3}$

$c=5$

so, we get order pair as

$(b,c)=(-\frac{4}{3} , 5)$ ..............Answer

6 0

3 years ago

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