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nalin [4]
3 years ago
7

If f (x) = -9x - 9 and g (x) = Vx - 9, what is (f ° g) (10)?

Mathematics
1 answer:
Temka [501]3 years ago
8 0

Answer: (f \circ g) (10)= -18\ .

Step-by-step explanation:

Given: f (x) = -9x - 9 and g (x) = \sqrt{x - 9}

To find : (f o g) (10)

For this we first find (f o g) (x)= f(g(x))

=f(\sqrt{x-9})\\\\=-9(\sqrt{x-9})-9

Now,

(f \circ g) (10)=-9(\sqrt{10-9})-9\\\\=-9\sqrt{1}-9\\\\=-9-9=-18

Hence, the value of (f \circ g) (10)= -18\ .

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MrRissso [65]

Answer:

2x² + 7x + 6

Step-by-step explanation:

To solve this polynomial, you need to distribute/multiply, (x+2) with (2x+3).

You would first multiply (x) with 2x and 3. This would give you 2x² and 3x. You would then multiply 2 with 2x and 3. This would give you 4x and 6. You then add the like-terms, which are 3x and 4x, which gives you 7x. This would give you your final expression of 2x² +7x + 6.

(x+2)(2x+3)

2x²+ 3x + 4x + 6

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6 0
3 years ago
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In the rectangle
LekaFEV [45]
In order to form triangle PQT and quadrilateral TQRS, point T must lie on line PS which is 16 cm. long.

If the ratio of PT to TS is 5:3 and the total length of PS is 16, then PT must be 10 and TS must be 6 (10 + 6 =16) and 10:6 is the same ratio as 5:3. Another way to think about it is 5/3 = 10/6.

Now you have all the lengths that you need to find the areas of the quadrilateral and the triangle.

Make sure you draw a diagram of it!!
7 0
3 years ago
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use a single digit times a power of 10 to estimate how many times greater the amount of water is at the Georgia Aquarium
Vikentia [17]

Answer:

The amount of water at the Georgia Aquarium is 20 times greater than the aquarium of the Americas hold.

Step-by-step explanation:

What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the tanks at the Georgia Aquarium hold approximately 8.4 × 10⁶ gallons of water. The tanks at the Audubon Aquarium of the Americas hold about 400,000 gallons of water.The number of the time will be calculated as below:-= 8.4 × 10⁶ / 400,000= 20.1

Therefore, the amount of water at the Georgia Aquarium is 20 times greater than the aquarium of the Americas hold.To know more about an expression followbrainly.com/question/15772941#SPJ2

5 0
1 year ago
Pls HELP I'LL MARK BRAINLEST
Vesnalui [34]
Angles of a triangle add up to 180 degrees and then we take away the right angle
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6 0
3 years ago
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A gold mine has two elevators one for equipment and another for miners. The elevator for the miners descends 13 feet per second.
saveliy_v [14]

Answer:

The equipment elevator is positioned 481 feet closer and the miner equipment is positioned 342 feet closer relative to the surface. The equipment elevator is deeper.

Step-by-step explanation:

The rate that both elevators descend are the same according to the information given in the question.

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After another 19 seconds, the equipment elevator has descended for a total of 37 seconds which results in 481 feet and the miner elevator has descended for 19 seconds which gives us a descend of 342 feet.

So they are 481 and 342 feet closer relative to the surface and the equipment elevator is deeper since it has descended for a longer period of time.

I hope this answer helps.

8 0
3 years ago
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