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3 years ago

How do I simplify the form of expression? (4x + 5)(x - 7) - 4x^2 + 10x = 9

Mathematics

1 answer:

aleksklad [387]3 years ago

5 0

Answer: 3.384

Step-by-step explanation: first expand to remove the brackets

4x^(2)-23x-35-4x^(2)+10x-9=0.

-13x-44=0

x=44/13

x=3.384

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4 years ago

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MArishka [77]

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She can travel 15 miles

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4 years ago

Graph h(x)=7 sin x ?

DENIUS [597]

Answer:

The graph of h(x) is shown below.

Step-by-step explanation:

The given function is

$h(x)=7\sin x$

The general form of sine function is

$f(x)=a\sin(bx+c)+d$

Where, a is amplitude, b is period, c is phase shift and d is vertical shift.

So, the amplitude of the given function is 7, period is 1, phase shift is 0 and vertical shift is 0.

It means the minimum value of function is -7 and maximum value is 7.

Put x=0 in the given function.

$h(x)=7\sin (0)=7(0)=0$

Put $x=-\frac{\pi}{2}$ in the given function.

$h(x)=7\sin (-\frac{\pi}{2})=-7(1)=-7$

Put $x=\frac{\pi}{2}$ in the given function.

$h(x)=7\sin (\frac{\pi}{2})=7(1)=7$

Therefore the points on the function are (0,0), $(-\frac{\pi}{2},-7),(\frac{\pi}{2},7)$ .

The graph of function is shown below.

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3 years ago