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Aleksandr-060686 [28]
2 years ago
11

Which point is an x-intercept of the quadratic function f(x)=(x-8)(x-9)?

Mathematics
2 answers:
Nonamiya [84]2 years ago
8 0
The zeroes are (0,8) and (0,9)

Use the zero product property to find this
(x-8)=0
x=8

(x-9)=0
x=9
Nastasia [14]2 years ago
7 0

Answer:

The points are (8,0) and (9, 0)

Step-by-step explanation:

Given the function

f(x)=(x-8)(x-9)

we have to find the point which is an x-intercept of the quadratic function.

X-intercept is the x-coordinate of a point where a graph of function intersects the x-axis i.e the value of x at which the value of y is 0.

Hence, to find x-intercept we have to put the value of y=0 in f(x)

(x-8)(x-9)=0

Using zero product property

⇒ (x-8)=0\text{ or }(x-9)=0

x=8\text{ or }x=9

The points are (8,0) and (9, 0)

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the scale on a map is stated as 1:250000 two villages are 9 cm apart on the map how far from each other are the two villages in
Karolina [17]

Answer:

22.5 kilometers

Step-by-step explanation:

we know that

The scale drawing is

1:250,000

That means

1 unit on a map represent 250,000 units in the actual

or

1 cm on a map represent 250,000 cm in the actual

or

1 cm on a map represent 2,500 m in the actual

or

1 cm on a map represent 2,5 km in the actual

therefore

using proportion

Find out how much represent 9 cm apart on the map

\frac{1}{2.5}\ \frac{cm}{km}=\frac{9}{x}\ \frac{cm}{km}\\\\x=9(2.5)\\\\x=22.5\ km

7 0
2 years ago
In Texas, the coldest temperature ever recorded is -23 F. That's a lot chillier than in Florida, where the coldest recorded temp
beks73 [17]

Answer:

21

Step-by-step explanation:

21+-23=-2

3 0
2 years ago
Read 2 more answers
Assume there are 365 days in a year.
MissTica

Answer:

1) The probability that ten students in a class have different birthdays is 0.883.

2) The probability that among ten students in a class, at least two of them share a birthday is 0.002.

Step-by-step explanation:

Given : Assume there are 365 days in a year.

To find : 1) What is the probability that ten students in a class have different birthdays?

2) What is the probability that among ten students in a class, at least two of them share a birthday?

Solution :

\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}

Total outcome = 365

1) Probability that ten students in a class have different birthdays is

The first student can have the birthday on any of the 365 days, the second one only 364/365 and so on...

\frac{364}{365}\times \frac{363}{365} \times \frac{362}{365} \times \frac{361}{365}\times\frac{360}{365} \times \frac{359}{365} \times \frac{358}{365} \times \frac{357}{365} \times\frac{356}{365}=0.883

The probability that ten students in a class have different birthdays is 0.883.

2) The probability that among ten students in a class, at least two of them share a birthday

P(2 born on same day) = 1- P( 2 not born on same day)

\text{P(2 born on same day) }=1-[\frac{365}{365}\times \frac{364}{365}]

\text{P(2 born on same day) }=1-[\frac{364}{365}]

\text{P(2 born on same day) }=0.002

The probability that among ten students in a class, at least two of them share a birthday is 0.002.

6 0
2 years ago
If angle AOB = 4x - 2 and BOC = 5x + 10 and COD = 2x + 14. What is x?
Softa [21]
Angle AOD = 180
4x-2 + 5x+10 + 2x+14 = 180
11x + 22 = 180
11x = 180 - 22 = 158
x = 158/11
5 0
2 years ago
Read 2 more answers
Jill is standing at the base of her apartment building. She measures the angle of elevation to the top of a nearby tower to be 4
almond37 [142]
1) From the measure of 40°, you can write:

tan(40°) = 100/x, where x is the base from the building to the tower

⇒x=100/tan(40°) = 119,18 m

2) From the measure of 30°, you can write

tan(30°) = y / 119,18, where y is the height from the roof of Jill's building to the top of the tower.

Then, y = tan(30°) * 119,18 = 68,81 m

3) The height of Jill's building is 100 - 68,81 = 31,19 m
4 0
2 years ago
Read 2 more answers
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