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3 years ago

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The diagram on the right shows the graph of a quadratic function f(x)=kx^2+6x+h.Point A(3,14) is the maximum point of the graph

of a quadratic function.
(a)Given k is an integer where -2<k<2,state the value of k.

1 answer:

weeeeeb [17]3 years ago

3 0

Answer:

4k

Step-by-step explanation:

4k

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The Golden Years Senior Citizen Center uses a phone tree to announce when the center will be closed for poor weather. When each

stira [4]

Answer:

50 Minutes.

Step-by-step explanation:

The function c approximates the total number of calls made after m minutes since the start of the phone tree.

$c(m)=\frac{2}{3}\times (3^{\frac{m}{10}}-1)$

We need to find the number of minutes after which the total number of calls will 363.

Substitute c(m)=363 in the given function.

$363=\frac{2}{3}\times (3^{\frac{m}{10}}-1)$

Multiply 3/2 both sides.

$363\times \frac{3}{2}=(3^{\frac{m}{10}}-1)$

$242=3^{\frac{m}{10}}-1$

Add 1 on both sides.

$243=3^{\frac{m}{10}}$

$3^5=3^{\frac{m}{10}}$

On comparing both sides we get

$5=\frac{m}{10}$

Multiply both sides by 10.

$50=m$

Therefore, the total number of calls will 363 after 50 minutes since the start of the phone tree.

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3 years ago

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camille can ride any bus between 11 and 34 that can be divided evenly by 3,and is an even number,which numbers are the buses she

Nezavi [6.7K]

She can ride buses 12, 18, 24, and 30.

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3 years ago

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How do you find a vector of length 10 in the direction of vequals=left angle 3 comma negative 2 right angle3,−2?

Kazeer [188]

First we look for the angle of the vector, which will be given by:
tan (x) = (- 2/3)
Clearing x we have:
x = ATAN (-2/3) = - 33.69 degrees.
Which means that the angle is 33.69 degrees measured clockwise from the x axis.
Equivalently the angle is
360-33.69 = 326.31 degrees
326.31 degrees measured counterclockwise from the x axis.
The vector is then:
v = 10 (cos (326.31) i + sin (326.31) j)
answer
v = 10 (cos (326.31) i + sin (326.31) j)

4 0

3 years ago

A king owned land outside of his castle he has partitioned the land to give as gifts to his 5 sons what fraction of land did the

siniylev [52]

Answer:

1/5

Step-by-step explanation:

since there is 5 sons they divide the land in 5.

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3 years ago

PLEASE HELP?!?!?!

lakkis [162]

Answer:

c. In 2 seconds, the commuter train travels 120 feet.

Step-by-step explanation:

Given

The attached graph

Required

What does x-coordinate of 2 represents

Represent this coordinate with (x,y)

From the graph:

$x = 2$ when $y = 120$

Note that:

x = time and y = distance

So:

$(x,y) = (2,120)$

Which means:

At 2 seconds, the train has travelled a distance of 120ft

<em>From the list of options, (c) is correct</em>

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3 years ago