All categories

3 years ago

Let f(x) = 4(x^2) - 3x

Mathematics

1 answer:

posledela3 years ago

7 0

Answer:

(f+g)(x)=5x²-4x+3

(f-g)(x)=3x²-2x+3

(fg)(x) $=4x^4-7x^3+15x^2-9x$

$\frac{f}{g}(x)$ $=\frac{4x^2-3x}{x^2-x+3}$

Step-by-step explanation:

Given that,

f(x)=4x²-3x

g(x)=x²-x+3

(f+g)(x)

=f(x)+g(x)

=4x²-3x+x²-x+3

=(4x²+x²)+(-3x-x)+3 [ combined the like terms]

=5x²-4x+3

(f-g)(x)

=f(x)-g(x)

=4x²-3x-(x²-x+3)

=4x²-3x-x²+x-3

=(4x²-x²)+(-3x+x)-3 [ combined the like terms]

=3x²-2x+3

(fg)(x)

=f(x).g(x)

=(4x²-3x).(x²-x+3)

=4x²(x²-x+3)-3x(x²-x+3)

$=4x^4-4x^3+12x^2-3x^3+3x^2-9x$

$=4x^4+(-4x^3-3x^3)+(12x^2+3x^2)-9x$

$=4x^4-7x^3+15x^2-9x$

$\frac{f}{g}(x)$

$=\frac{f(x)}{g(x)}$

$=\frac{4x^2-3x}{x^2-x+3}$

You might be interested in

algol [13]

Answer:

$\boxed{\sf{4}}}$

Step-by-step explanation:

Use a slope form.

<u>Slope:</u>

$\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }$

y₂ = (17)

y₁ = (1)

x₂ = (2)

x₁ = (-2)

Then, rewrite the problem.

Solve.

$\sf{\dfrac{17-1}{2-(-2)}=\dfrac{16}{4}=\dfrac{16\div4}{4\div4}=\dfrac{4}{1}=\boxed{\sf{4} }$

Therefore, the slope is 4, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

5 0

2 years ago

What is the given value of the variable 7/8 times C for C equals eight

goldenfox [79]

7/8 * C

C = 8

7/8 * 8

56/8

7

6 0

3 years ago

The height of a certain banner is equal to one third of its length. If the banner is 5 ft tall, write the equation that can be u

pav-90 [236]

Answer:

$L=3h$

Step-by-step explanation:

Let height of a banner be $h$ , then we know that this is $\frac{1}{3}$ of the length $L$ of the banner; so we have

$h=\frac{1}{3} L$ .

Now we can rearrange this equation to solve for the length of the banner given it's height:

$L=3h$

So there we have it!

If the banner is 5 ft tall, then it's length will be:

$L=3*5=15ft$

5 0

3 years ago

How do I solve this question?

Elena L [17]

Answer:

Step-by-step explanation:

should be the correct answer

4 0

3 years ago

Read 2 more answers

If I bought shoes for 32.30 with 15% off 7%sales tax a 25dollar gift card but had a coupon that was forgotten for 5%off the orig

Otrada [13]

Answer:

$4.37 cash outlay

$29.37 total amount paid, partly with gift card

Step-by-step explanation:

The discount was ...

0.15 × $32.30 = $4.845 ≈ $4.85

So the price to which tax is added is ...

$32.30 -4.85 = $27.45

The amount of tax is 7% of this value, or ...

tax = $27.45 × 0.07 = $1.9215 ≈ $1.92

So, payment is made on the amount ...

$27.45 + 1.92 = $29.37

$29.37 is the total amount paid.

If $25 is paid using a gift card, then the cash outlay is $4.37.

_____

Usually only a single coupon can be applied to a given purchase. Since the 15% store discount exceeds the amount of the 5% coupon left at home, it makes more sense to claim the 15% store discount and save the 5% coupon for another time.

<em>Alternate interpretation</em>

If, by some magic, both discounts could be applied, then the amount to be paid is $27.65, of which $2.65 exceeds the gift card amount. The calculation proceeds the same way, except that 20% is used instead of 15%.

4 0

3 years ago

Let ​ f(x) = 4(x^2) - 3x

Let f(x) = 4(x^2) - 3x