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4 years ago

If f(x)=x-7 and g(x)=x^3, find G(f(x))

Mathematics

2 answers:

Sergeeva-Olga [200]4 years ago

7 0

Answer:

$(f*g)(x) = x^4-7x^3$

Step-by-step explanation:

$f(x) = x-7\\g(x) = x^3$

Multiplying both would make

$(f*g)(x) = x^4-7x^3$

Montano1993 [528]4 years ago

4 0

This is the answer.

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30% of___ is 15 ?????

tensa zangetsu [6.8K]

Answer:

15 is 30% of 50

Step-by-step explanation:

We have, 30% × x = 15

Multiplying both sides by 100 and dividing both sides by 30,

we have x = 15 × 100/30

x = 50

If you are using a calculator, simply enter 15×100÷30, which will give you the answer.

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3 years ago

Solve for y. 6/5=3y plz answer

liberstina [14]

Answer:

y = 2/5

Step-by-step explanation:

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4 years ago

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Henry steps onto an elevator at the first floor. He goes up to the 9th floor and then comes down 2 floors. He then goes up 4 flo

dimaraw [331]

Answer:

Step-by-step explanation:

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3 years ago

Find the area of △LKJ.

nirvana33 [79]

Answer:

$A=600\: u^{2}$

<u>The correct answer is letter c.</u>

Step-by-step explanation:

The area equation of a triangle is given by:

$A=\frac{bh}{2}$ (1)

Where:

b is the base

h is the height

Let's find first the angle MJK (α), using the tangent definition.

$tan(\alpha)=\frac{24}{32}$

$\alpha=tan^{-1}(\frac{24}{32})$

$\alpha=36.9^{\circ}$

Now, if α = 37° then β (angle JLK) must be:

$37^{\circ} + \beta + 90^{\circ}=180^{\circ}$

$\beta=53^{\circ}$

Now, we can find the distance ML using again the tangent definition:

$tan(\beta)=\frac{24}{ML}$

$ML=\frac{24}{tan(53)}$

$ML=18$

The base of the triangle LKJ will be:

$b=32+ML=32+18=50$

Therefore, using equation (1) the area of △LKJ will be:

$A=\frac{50*24}{2}$

$A=600\: u^{2}$

The correct answer is c.

I hope it helps you!

5 0

3 years ago

Marie wants to buy fencing and sod for her new triangular flower bed. One of the legs of the garden is 7 ft longer than the othe

djyliett [7]

let's suppose x is the shortest leg of the triangle

The perimeter of the flower bed is 3x+8 ft

the surface to be coverd by sod would be x×(x+7)/2 sqft

(x+8)(x+8)=(x+7)^2+x^2

x'2+16x+64=x'2+14x+49+x^2

x^2-2x=15

x×(x-2)=15

x=5

(15+8)×$4.23=$97.29 for fencing

32.5sqft×$12.72=$413.4 for the sod

3 0

3 years ago