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Leni [432]
3 years ago
6

Dentify the initial value and rate of change for the graph shown.

Mathematics
2 answers:
sdas [7]3 years ago
7 0
Hello,

Answer B

A=(0,4)
B=(4,1)

y-4=(1-4)/(4-0)(x-0)
==>y=-3/4 x +4

Talja [164]3 years ago
4 0

reflect over y-axis, reflect over line y = 5, then 3 units left

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A 50 foot rope weighing a total of 32 lbs extended over a cliff that is 35 feet to the ground. A large 8 pound bucket with 19 ga
larisa86 [58]

Answer:

A function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is W=16(50-x)+(19-\frac{x}{5})(8.3)x and  the work to get the bucket to the top of the cliff is 3726 foot-lbs

Step-by-step explanation:

Work done to lift the rope by distance x feet:

W_1=32(\frac{50-x}{2})

Work done to lift the bucket by distance x feet:

W_2=(19-\frac{x}{5})(8.3)x

On reaching top 7 gallons of water spilled out so , on going up by x feet \frac{7x}{35}=\frac{x}{5} gallons of water spilled out.

a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground:

W=16(50-x)+(19-\frac{x}{5})(8.3)x

Now the work to get the bucket to the top of the cliff i.e. x =35

W=16(50-35)+(19-\frac{35}{5})(8.3)(35)

W=3726

Hence, a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is W=16(50-x)+(19-\frac{x}{5})(8.3)x and  the work to get the bucket to the top of the cliff is 3726 foot-lbs

5 0
3 years ago
A basketball team needs to score more than 857 total points this season to set a new record. The team has already scored 167 poi
oksano4ka [1.4K]
The answer is 11 because they need 857 total points and they already have 167 points so what you do is 857-167=710 then 710 divided by 69=11
6 0
4 years ago
A car is driven 402.5 miles on 11.5 gallons of gas. Find the number of miles traveled per gallon of gas
ddd [48]

Answer:

I believe it's 35 miles per gallon of gas

8 0
3 years ago
Read 2 more answers
How many solutions does the equation x_1 +x_2+x_3+x_4+x_5=21 have where x_1, x_2, x_3, x_4, and x_5 are nonnegative integers and
omeli [17]

Step-by-step explanation:

x_{1} + x_{2} + x_{3} + x_{4} + x_{5} = 21\\     (given)

Let us consider :

x_{1} = t_{1} + 1

x_{2} = t_{2}

x_{3} = t_{3}

x_{4}  = t_{4}

x_{5} = t_{5}

Now, by substituting the above considerations in the above equation, we get:

t_{1} + 1 + t_{2} + t_{3} + t_{4} + t_{5} = 21\\

t_{1}  + t_{2} + t_{3} + t_{4} + t_{5} = 20\\

where,

t_{i} \geq 1

then it follows

n = 20

r = 4

then no. of solutions for the eqn = _{r}^{n + r}\textrm{C}

                                                      = _{4}^{24}\textrm{C}

                                                      = 10626

Answer :

no. of solutions for the eqn 10626

4 0
4 years ago
Whats 2+4x=5......<br> .....
sergey [27]
2+4x = 5

4x = 5-2

4x = 3

\frac{4}{4}x =  \frac{3}{4}

x = 3/4
4 0
3 years ago
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