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ella [17]
3 years ago
13

Drag a graph to each category based on the slope of the graph - help me plz

Mathematics
1 answer:
OleMash [197]3 years ago
5 0

Answer:

for the first picture: less than zero (the slope is negative because it's going down)

for the second picture: slope is greater than 1 (the slope is positive because it's going up)

for the third picture: slope is greater than 1 (the slope is positive because it's going up)

for the fourth picture: slope is 0 (it's a horizontal line)

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A kayaker travels x miles per hour downstream for 4 hours. On the 6-hour return trip, the kayaker travels 2 mile per hour slower
Stolb23 [73]

                              time       *      rate          =       distance

Downstream           4           *       x              =          4(x)

Upstream                6           *     x - 2           =        6(x - 2)

distance downstream = distance upstream:

                              4(x) = 6(x - 2)

                               4x  = 6x - 12

                              -2x  =   -12

                                 x   =    6

Distance Upstream: 4x   = 4(6)   = 24

Distance Upstream: 6(x - 2)  = 6(6 - 2)   = 6(4)   = 24

Total distance traveled is Upstream + Downstream = 24 + 24 = 48

Answer: 48 miles

5 0
3 years ago
The sum of two numbers is 49 and the difference is 25 . What are the numbers?
OLEGan [10]

Answer:

x = 37 y = 12

Step-by-step explanation:

Let x be one number

Let y = other number

x+y = 49

x-y = 25

Add the equations together

x+y = 49

x-y = 25

---------------

2x = 74

Divide by 2

2x/2 = 74/2

x =37

x+y = 49

37+y = 49

Subtract 37 from each side

37+y-37 = 49-37

y = 12

4 0
3 years ago
Find the value of x, rounded to the nearest tenth?
Stolb23 [73]

Answer:

Step-by-step explanation:

we can use the trigonometric function in a right triangle

cos x = adjacent side to the angle /hypothenuse

cos 36°= x/10  ; multiply both sides by 10

10 * cos 36° = x ; make sure your calculator mode is in degrees

8.1  = x

4 0
3 years ago
write an equation in slope-intercept form for the line that has a slope of -4/5 and passes through (0,7)
Fudgin [204]
Y = -4/5 + 7, the 7 is the slope intercept and the -4/5 is the slope
7 0
3 years ago
Read 2 more answers
You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 500cm3. Determ
babymother [125]

Answer:

x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.

Step-by-step explanation:

V= x^2y = 500

Surface area A = x^2 + 4xy.

From the first equation y = 500/x^2

So substituting for y in the equation for the surface area:

A = x^2 + 4x * 500/x^2

A = x^2 + 2000/x

Finding the derivative:

dA/dx = 2x - 2000x^-2

dA/dx = 2x - 2000/x^2

This = 0 for a minimum/maximum value of A, so

2x - 2000/x^2  = 0

2x^3 - 2000 = 0

x^3 = 2000/ 2 = 1000

x = 10

Second derivative is  2 + 4000/x^3

when x = 10  this is positive so x = 10 gives a minimum value of A.

So y =  500/x^2

= 500/100

= 5.

6 0
3 years ago
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