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IrinaK [193]
3 years ago
5

What is the inverse of f(x)=(x+6)^2 for x≥–6 where function g is the inverse of function f?

Mathematics
1 answer:
docker41 [41]3 years ago
6 0

Answer:

Option 1

Step-by-step explanation:

y = (x + 6)²

sqrt(y) = x + 6

x = sqrt(y) - 6

Interswitch variables

f^-1(x) = sqrt(x) - 6

Domain of inverse is the range of f, which is 》0

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There is $48 to be divided among 3 people. the ratio of dividing is 3:2:1. How much does the person who receives the most will g
hodyreva [135]

Answer:

The person who receives the most will get $24

Step-by-step explanation:

Let

x ----> amount received by the first person

y ----> amount received by the second person

z ----> amount received by the third person

we know that

x+y+z=48 ----> equation A

x:y:z=3:2:1

so

\frac{x}{y}=\frac{3}{2}

x=1.5y ----> equation B

\frac{y}{z}=\frac{2}{1}

z=0.5y ----> equation C

substitute equation B and equation C in equation A

1.5y+y+0.5y=48

solve for y

3y=48\\y=\$16

Find the value of x

x=1.5(16)=\$24

Find the value of z

z=0.5(16)=\$8

therefore

The person who receives the most will get $24

7 0
3 years ago
Read 2 more answers
(2x^3+6x-1)+(3x^2-7x)
sattari [20]

For this case we must simplify the following expression:

(2x ^ 3 + 6x-1) + (3x ^ 2-7x)

We eliminate the parentheses taking into account that:

+ * + = +\\+ * - = -

So, we have:

2x ^ 3 + 6x-1 + 3x ^ 2-7x =

We add similar terms taking into account that:

Different signs are subtracted and the sign of the major is placed:

2x ^ 3 + 3x^2-x-1

Answer:

2x ^ 3 + 3x^2-x-1

7 0
2 years ago
Please help! (85 points)
allochka39001 [22]
Recall that all three angles in a triangle equals 180.
Knowing this, we just have to add up all the angles and figure out what the value 'x' is.

(x-22 + x-17 + 3x+19) = 180
Simplify:
5x - 20 = 180
Add 20 to both sides:
5x = 200
Divide both sides by 5:
x = 40

Now that we found the value for x, we need to solve for angle A.
Simply input the value of 'x' into angle A's equation:
40 - 22 = 18

Angle A = 18 degrees

Good luck! If you need me to explain anything, just ask :))
-T.B.
8 0
2 years ago
Read 2 more answers
Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.
vredina [299]

Answer: 4.1 feet : 4 feet

Step-by-step explanation:

From the question, we are informed that Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.

The conversion ratio be used to compare Bradley's and Carla's estimates of the tree's height when measured in feet goes thus:

Since 1 feet = 0.305 meters

2.5 meters will be = 2.5/0.305 = 8.2 feet

Therefore the conversion ratio will be:.

= 8.2 : 8

Reducing to lowest term will be

= 4.1 feet : 4 feet.

= 4.1 : 4

4 0
3 years ago
Help me please: Justine answered 75% questions correctly on an 80-questions test. How many questions did he answer correctly?
Anvisha [2.4K]
He answered 60 questions correctly.
4 0
3 years ago
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