Will give brainliest answer

Mathematics

2 answers:

Naya [18.7K]3 years ago

6 0

I think its 35

because 5 × 7 = 35

cluponka [151]3 years ago

3 0

Answer:35

Step-by-step explanation:

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Find the average rate of change of f(x)=2x-1 from x=-1 to x=2

MrMuchimi

The average rate of change from x = -1 to x = 2 is 2

Solution:

Given function is:

f(x) = 2x - 1

We have to find the average rate of change from x = -1 to x = 2

The average rate of change is given as:

$\text {Average rate of change}=\frac{f(b)-f(a)}{b-a}$

The average rate of change from x = -1 to x = 2 is given by formula:

$\text {Average rate of change}=\frac{f(2)-f(-1)}{2-(-1)}\\\\\text {Average rate of change}=\frac{f(2)-f(-1)}{3}$

Find f(2) and f( - 1)

Substitute x = 2 in given function

f(2) = 2(2) - 1 = 4 - 1 = 3

Substitute x = -1 in given function

f( - 1) = 2(-1) - 1 = -2 - 1 = -3

Substitute the values in above formula,

$\text {Average rate of change}=\frac{3-(-3)}{3}=\frac{6}{3}=2$

Thus average rate of change from x = -1 to x = 2 is 2

3 0

3 years ago

When servicing a heating boiler and radiators, a plumer knows that the time he will take is given by the formula

Allushta [10]

Answer:

£110

Step-by-step explanation:

We know how much time it takes for a boiler and a radiator, and we need to know how much it will cost for 1 boiler and 4 radiators. We have an initial cost of £30, and since hes doing a boiler - which we know takes an hour - we can already add £20 for a start of £50.

Now, there are 4 radiators, that take 45 minutes each. We need to use this equation:

$(45*4)/60$

We divide by 60 because there are 60 minutes in an hour, and he charges by hour. So:

$180/60=3$

Now, to find out how much to charge, we need to figure out how much to add to the £50. Since it's £20 an hour, and it takes 3 hours to do the 4 radiators, we need to multiply:

$3*20=60$