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3 years ago

If a function f is increasing on (a,b) and decreasing (b,c), then what can be said about the local extremism of f on (a,c)?

Mathematics

1 answer:

finlep [7]3 years ago

7 0

Answer:

The point (b, f(b)) is a local maximum.

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How do you make an exponential equation with these two points: (1,2) and (0.5,4)

Over [174]

The required equation is y=8×( $( \frac{1}{2} )^{x}$

Step-by-step explanation:

Given,

The two points are (1,2) and (0.5,4)

To find the exponential equation of these given points.

Formula

The general form of exponential equation is y = $ab^{x}$ where, A and B are any real number.

$\frac{x^{m} }{x^{n} } = x^{m-n}$

Now, the points satisfy the equation.

So,

2 = $ab^{1}$ ------- (1) and

4 = $ab^{0.5}$ ------ (2)

Now (1) ÷ (2) we get,

$\frac{ab }{ab^{0.5} }$ = $\frac{2}{4}$

or, $b^{0.5}$ = $\frac{1}{2}$

or, b = $\frac{1}{4}$ [ by squaring we get]

Now, from (1) we get,

2 = a× $\frac{1}{4}$

or, a = 8

Hence,

The equation is y=8×( $( \frac{1}{2} )^{x}$

4 0

3 years ago

2. cos 0°<br> a) sin 1° b)<br> c) sin 90° d) tan 90°<br> B)cos 1°

motikmotik

Answer:

sin 90

Step-by-step explanation:

cos (0)

Using the unit circle, we know that cos 0=1

sin 1 and cos 1 are not equal to 1

sin 90 =1

tan 90 = sin 90/ cos 90 = 1/0 =undefined

5 0

3 years ago

Jonas has been saving for a video game . last year it costs $28 this year it costs $36 find the percent of change in the cost .

iren2701 [21]

Answer:

Last year the cost was $28.

This year the cost is $36.

$36 - $28 = $8

Percent of increase = amount of increase ÷ original amount

$8/$28 = $0.286

$0.286 · 100 = 28.6%

There has been a 28.6% of change in the cost.

6 0

3 years ago

10 POINTS HELP PLEASE!!!

Liono4ka [1.6K]

Help you with what ?

4 0

3 years ago

-19-5/4v is less than or equal too -14

Nesterboy [21]

Answer:

−20.25

Step-by-step explanation:

5 0

3 years ago