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2 years ago

Can someone check if this is right or did I solve it wrong?

Mathematics

1 answer:

ICE Princess25 [194]2 years ago

4 0

Answer:

f(3x) - 2g(x+1) = 12x - 5

Step-by-step explanation:

You've got f[g(x)] and g[f(x)] correct

However, f(3x) means substitute 3x for x in f(x):

f(3x) = 2(3x) - 3

⇒ f(3x) = 6x - 3

2g(x+1) = 2[4 - 3(x + 1)]

⇒ 2g(x+1) = 2[4 - 3x -3]

⇒ 2g(x+1) = 2[1 - 3x]

⇒ 2g(x+1) = 2 - 6x

f(3x) - 2g(x+1) = (6x - 3) - (2 - 6x)

⇒ f(3x) - 2g(x+1) = 12x - 5

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Help on this problem

GREYUIT [131]

0.77(13.50×40)= 415.8
The answer is $415.8

Hope this helps :)

6 0

2 years ago

Simplify the expression to a polynomial in standard form: (4x+5) (x^2-3x-2) PLEASE HLEP

pickupchik [31]

Answer:

$4x^3-7x^2-23x-10$

Step-by-step explanation:

So we have the expression:

$(4x+5)(x^2-3x-2)$

Distribute. Multiply (4x+5) to each term:

$(x^2)(4x+5)+(-3x)(4x+5)+(-2)(4x+5)$

Distribute:

$=(4x^3+5x^2)+(-12x^2-15x)+(-8x-10)$

Combine like terms:

$=(4x^3)+(5x^2-12x^2)+(-15x-8x)+(-10)$

Add and simplify:

$=4x^3-7x^2-23x-10$

And this is in descending order, so it's in standard form.

7 0

3 years ago

Please help and give the reasons. <br> Given: 4(x - 8) = 2x + 12<br> Prove: x = 22

statuscvo [17]

Answer:

Step-by-step explanation:

Step 2 expansion of bracket

Step 4 grouping of like terms

Step 4 division property

4 0

3 years ago

Shipping rates for Company A and Company B are shown in the tables below. Which company has shipping rates that you can represen

meriva

Company B; the ratios of cost to weight are equivalent.

Step-by-step explanation:

Step 1:

In the equation, $y=kx$ k is the constant of proportionality.

If the values are in accordance with $y=kx$ , the values of k will be constant for all the values.

So we determine the values of k for both the companies and see which has a constant k.

If $y=kx, k = \frac{y}{x}$ . In these tables, y is the total cost and x is the weight in lbs.

Step 2:

For company A,

when $y=10.55, x=1, k = \frac{10.55}{1} = 10.55,$

when $y=10.85, x=2, k = \frac{10.85}{2} = 5.425,$

when $y=11.15, x=3, k = \frac{11.15}{3} = 3.71666.$

For company B,

when $y=2.75, x=1, k = \frac2.75}{1} = 2.75,$

when $y=5.50, x=2, k = \frac{5.50}{2} = 2.75,$

when $y=8.25, x=3, k = \frac{8.25}{3} = 2.75.$

So company B has a constant value of $k=2.75$ .

3 0

2 years ago

84 is what percent of 105?

saul85 [17]

Answer:

80%

Step-by-step explanation:

84/105=0.8

0.8=80%

3 0

3 years ago

Read 2 more answers