Equivalent expression of 4(6x+11)-5x

If i am charged $12 and tax is 6% how much do i pay?

schepotkina [342]

Answer:

$12.72

Step-by-step explanation:

6 0

3 years ago

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how to find the period, amplitude, and vertical shift of a sinusoidal graph. please explain in the simplest way possible, tyyyy

Kay [80]

Answer:

Step-by-step explanation:

a) period is the length of one cycle ( one full squiggle ) If you are lucky and the graph is on exact numbers.. at a high point and to the next high point.. then just take that horizontal distance, that's one period also if it's not you could find the period, T, by using T = 2pi / k where k is a number that represents how fast , or how many times the wave cycles in one second or some other amount of time.

b) Amplitude is a number that goes right before the sinusoid, which is multiplied by it because, sin , cos, are at max 1 or at min -1

c) vertical shift is what is added , for upwards shift... before or after the sinusoid ie sin , cos, ect ect.

does this help?

4 0

3 years ago

Explain why a semi-truck will accelerate more slowly than a motorcycle?

tekilochka [14]

the semi truck has more weight than a motorcycle. the truck will have to go slow with it carring the passangers and the cargo, alonf with the weight of the trailer and and the weight of the cab itself. the motorcycle will only carry the passanger and the cycle its self. theres a big weight difference. anorher thinf is the motors are both a different size. the motorcycles motor is alot smaller than the trucks so the bikes motor will get ready faster. the same goes with alot of pick up trucks. some trucks have a weight to start signal because they are trying to get the motor ready.

I hope this helps.

6 0

3 years ago

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Help pleaseee !!<br> Equation work

Lina20 [59]

-11.2 + 4(2.1 + q) = -0.8

-11.2 + 8.4 + 4q = -0.8

4q = -0.8 + 11.2 - 8.4

4q = 2

q = 1/2 Answer

3x = -9

x = -9 / 3

x = -3 Answer

4 0

4 years ago

The population of mosquitoes in a certain area as a function of inches of rainfall is modeled in the table. The function is quad

torisob [31]

Answer:

The x-intercept represents that after 10 in. of rain there are mosquitoes.

Or

The x-intercept represents that after 0 in. of rain there are no mosquitoes.

Step-by-step explanation:

We are given a table that represents the population of mosquitoes in a certain area as a function of inches of rainfall :

RAINFALL(in.) POPULATION (millions.)

0 0

1 9

3 21

4 24

5 25

6 24

We will first find the function P(t) which denotes the number of mosquitoes after t inches of rainfall.

As the function is quadratic.

Hence , let:

$P(t)=at^2+bt+c$

At t=0 we have, P(t)=0

$c=0$

at t=1 we have: P(t)=9

i.e.

$a+b=9-----(1)$

Also at t=2 we have: P(t)=21

i.e.

$9a+3b=21-------(2)$

On solving equation (1) and (2) we get:

a= -1 and b=10

Hence,

$P(t)=-t^2+10t$

We know that the x-intercept of a graph is a point where the y-value is zero.

i.e. it is the inches of rainfall when the population of mosquitoes is zero i.e. there are no mosquitoes.

i.e. we have to find t such that:

P(t)=0

i.e.

$-t^2+10t=0\\\\i.e.\\\\t(10-t)=0\\\\i.e.\\\\ t=0\ or\ t=10$

Hence, we have got two x-intercept.

one at t=0 and the other at t=10.

The x-intercept represents that after 10 in. of rain there are no mosquitoes.

Or

The x-intercept represents that after 0 in. of rain there are no mosquitoes.

5 0

4 years ago

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