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Tpy6a [65]
4 years ago
11

F(x)=x² – 9- indenify zeros of the function​

Mathematics
1 answer:
noname [10]4 years ago
5 0

Answer:3,-3

Step-by-step explanation:

difference of 2 squares

(x+3)(x-3)

x+3=0

x-3=0

x=3,-3

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A boat goes 24 miles at a constant speed in 4 hours against a river current.
Ne4ueva [31]

Answer:

8 miles per hour.

Step-by-step explanation:

24miles in 4 hours = 24/4=6 miles per hour.

24 miles in 3 hours = 24/3=8 miles per hour. The boat going with the current of the river is traveling at 8 miles per hour.

7 0
3 years ago
Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high temperature for the day is 10
WINSTONCH [101]

Answer:

The function for the outside temperature is represented by T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right], where t is measured in hours.

Step-by-step explanation:

Since outside temperature can be modelled as a sinusoidal function, the period is of 24 hours and amplitude of temperature and average temperature are, respectively:

Amplitude

A = \frac{100\º-70\º}{2}

A = 15\º

Mean temperature

\bar T = \frac{70\º+100\º}{2}

\bar T = 85\º

Given that average temperature occurs six hours after the lowest temperature is registered. The temperature function is expressed as:

T(t) = \bar T + A \cdot \sin \left[2\pi\cdot\frac{t-6\,h}{\tau} \right]

Where:

\bar T - Mean temperature, measured in degrees.

A - Amplitude, measured in degrees.

\tau - Daily period, measured in hours.

t - Time, measured in hours. (where t = 0 corresponds with 5 AM).

If \bar T = 85\º, A = 15\º and \tau = 24\,h, the resulting function for the outside temperature is:

T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right]

3 0
3 years ago
Find values of x and y for which ABCD must be a parallelogram. The diagram is not drawn to scale.
Arturiano [62]
ANSWER
x=4, y=8

EXPLANATION

If ABCD is a parallelogram, then

line AB is parallel to line DC .

This means that,

(x + 2) \degree
and

(2x - 2) \degree
are alternating angles.

Alternate angles are congruent.

This implies that,

2x - 2 = x + 2

We group like terms to obtain,

2x - x = 2 + 2

This simplifies to,

x = 4

Also, if ABCD is a parallelogram then,

BC is parallel to AD. This means that,

5y - 8 = y + 24

We group like terms to get,

5y - y = 24 + 8

This simplifies to,

4y = 32

We divide both side by 4 to get,

y = 8
6 0
3 years ago
Read 2 more answers
Solve each equation. Check your solution.<br><br><br> 3x 32 = 7x + 28
skad [1K]

Answer:

x= 28 /89

Step-by-step explanation:

3x(32)=7x+28

Step 1: Simplify both sides of the equation.

96x=7x+28

Step 2: Subtract 7 from both sides.

96x   7x+28

−7             −7

89x=28

Step 3: Divide both sides by 89.

89x /89 = 28 /89

6 0
3 years ago
What is 5/2 - blank = 1/3
sdas [7]

Step-by-step explanation:

taking that blank as x

5/2 -x = 1/3

the x will go to the right hand side of the equation which then would make it positive ( making x the subject) and 1/3 will come to the left hand side of the equation becoming -1/3

so the equation will become 5/2-1/3=x

solving the fraction then gives 13/6 or 2.17 as the value of x

7 0
3 years ago
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