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agasfer [191]
3 years ago
12

For which values of x is the function y = 5 / (x-4)(x+5) not defined? Select all that apply.

Mathematics
1 answer:
rewona [7]3 years ago
5 0
f(x)=\dfrac{5}{(x-4)(x+5)}\\\\(x-4)(x+5)\neq0\iff x-4\neq0\ and\ x+5=0\\\\x\neq4\ and\ x\neq-5\\\\Answer:\boxed{-5\ and\ 4}
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Cara started working for $9 per hour. She earns a 4% raise every year. What is her
shutvik [7]

Answer:

Caras hourly wage is $10.08 after 3 years

Step-by-step explanation:

4% of 9

0.04 x 9 = 0.36

then you multiply 0.36 by 3 because you are solving for 3 years.

0.36 x 3 = 1.08

then you add 1.08 to 9 because Cara's wage goes up $1.08 in 3 years

1.08 + 9 = 10.08

answer:

Cara's hourly wage is $10.08 after 3 years of working

5 0
3 years ago
A 41 41-foot ladder is leaning against a building. The base of the ladder is 9 9 feet from the side of the building. How high do
lyudmila [28]

Answer:

The ladder would reach 40ft

Step-by-step explanation:

The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height that the ladder would reach along the side of the building represents the opposite side of the right angle triangle.

The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.

To determine the height that the ladder would reach along the side of the building h, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

41² = 9² + h²

1681 = 81 + h²

h² = 1681 - 81 = 1600

h = √1600

h = 40 ft

6 0
3 years ago
I NEED HELP PLZ HELP PLZ
Nesterboy [21]

Answer:

-43

Step-by-step explanation:

=(-3(-4^2))+5

-3(16)+5

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6 0
3 years ago
A cereal company is creating new boxes for its product. In order to display the boxes, the stores they sell to require that the
SashulF [63]

If the problem says "space", that usually means that they are talking about volume. The maximum length the box can be is 8.4 inches. To find volume, you do length * width * height. You know the length and height, as well as the volume. You can replace the width with "x". Your equation should be:

11.5 * 8.4 * x = 272.8

Then you can just solve for x by dividing both sides by (11.5 * 8.4). The answer should be about 2.82 inches.

3 0
3 years ago
How many solutions are there to the equation below? 17 x - 8 = 3x + 16<br>maqth ​
vazorg [7]

Answer:

There is one solution and that answer is mixed number form  1 5/7 or exact form 12/7

Step-by-step explanation:

8 0
3 years ago
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