2 years ago

Calculating a rate of change

Mathematics

1 answer:

algol [13]2 years ago

4 0

Answer:

2 1

Step-by-step explanation:

im not sure what the last one is

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Find the missing side of this right

navik [9.2K]

Answer:

x = 13

Step-by-step explanation:

First start with the blank equation

$a^{2} + b^{2} = c^{2}$

Plug in the legs and hypotenuse. Remember c squared is always the hypotenuse.

$5^{2} + 12^{2} = c^{2}$

Then solve

25 + 144 = $c^{2}$

169 = $c^{2}$

$\sqrt{169} = \sqrt{c^{2} }$

c = 13

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2 years ago

Consider the given function and the given interval. f$x$ = (x - 7)**2 text(, ) [5 text(, ) 11] (a) Find the average value fave

Jet001 [13]

a. $f$ has an average value on [5, 11] of

$f_{\rm ave}=\displaystyle\frac1{11-5}\int_5^{11}(x-7)^2\,\mathrm dx=\frac{(x-7)^3}{18}\bigg|_5^{11}=\frac{4^3-(-2)^3}{18}=4$

b. The mean value theorem guarantees the existence of $c\in(5,11)$ such that $f(c)=f_{\rm ave}$ . This happens for

$(c-7)^2=4\implies c-7=\pm2\implies c=9\text{ or }c=5$

8 0

3 years ago

Determine whether y varies directly with x. If so, find the constant of variation k and write the equation

nydimaria [60]

y/x = k

6.4/4 = 1.6

11.2 / 7 =1.6

16/10 = 1.6

20.8 /13 =1.6

This is a direct variation and the constant is 1.6

y=1.6x

8 0

2 years ago

Read 2 more answers

3 litters were born at broadway kennel last year and each litter had 7 puppies how many puppies were born at broadway kennel las

frez [133]

3*7=21
21 puppies were born last year.

6 0

2 years ago

Rosie bought a car for £4000.

vovangra [49]

Answer:

3.5%

Step-by-step explanation:

4000*3.5% =1400

4000-1400=2600 percentage rosie loss 3.5%

8 0

2 years ago