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4 years ago

F(x) = 4x + 1 and g(x) = 4x - 3 Find f(x) * g(x)

Mathematics

1 answer:

Andre45 [30]4 years ago

5 0

Answer:

16x^2 - 8x - 3

Step-by-step explanation:

f(x) = 4x + 1

g(x) = 4x -3

f(x) * g(x) = (4x+1) * (4x-3)

(16x^2 - 12x + 4x -3)

Combine like terms

16x^2 - 8x - 3

that's your answer

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What is are the solutions to | x+4 |= 3x-5?

bonufazy [111]

Answer:

x = $\frac{9}{2}$

Step-by-step explanation:

The absolute value always returns a positive value but the expression inside can be positive or negative, that is

x + 4 = 3x - 5 ( subtract 3x from both sides )

- 2x + 4 = - 5 (subtract 4 from both sides )

- 2x = - 9 ( divide both sides by - 2 )

x = $\frac{9}{2}$

-(x + 4) = 3x - 5

- x - 4 = 3x - 5 ( subtract 3x from both sides )

- 4x - 4 = - 5 ( add 4 to both sides )

- 4x = - 1 ( divide both sides by - 4 )

x = $\frac{1}{4}$

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions

| $\frac{9}{2}$ + 4 | = | $\frac{17}{2}$ | = $\frac{17}{2}$

right side = $\frac{27}{2}$ - 5 = $\frac{17}{2}$

left side = right side , thus x = $\frac{9}{2}$ is a solution

check second solution

| $\frac{1}{4}$ + 4 | = | $\frac{17}{4}$ | = $\frac{17}{4}$

right side = $\frac{3}{4}$ - 5 = - $\frac{17}{4}$

right side ≠ left sides, hence not a solution

7 0

4 years ago

Suppose that 2000 is invested at a rate of 2.4% , compounded semiannually. Assuming that no withdrawals are made, find the total

gtnhenbr [62]

Answer:

$2479.02

Step-by-step explanation:

The invested amount is $2000 at a rate of 2.4% which compounds semiannually.

Therefore, the semiannual interest rate is $\frac{2.4}{2} = 1.2$ %.

Then the principal is compounded (9 × 2) = 18 times within a period of 9 years.

If there is no withdrawal from the account, then after 9 years the sum will become

$2000(1 + \frac{1.2}{100} )^{18} = 2479.02$ dollars {Rounded to the nearest cent} (Answer)

4 0

3 years ago

26 divided by 3 I’m horrible at matj

antiseptic1488 [7]

8.66666667 that’s your answer

5 0

3 years ago

Read 2 more answers

If f(x)=4x+5 what is f(4)

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

f(4) = 4(4) + 5

f4= 16 + 5

f4= 21

f = 21/4

f= 5.25

5 0

3 years ago

ANSWER FOR BRAINLIEST AND 70 POINTS!

Anit [1.1K]

Answer:

Move L, Q, and K down 2 spaces, and right 4 spaces.

Step-by-step explanation:

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3 years ago

F(x) = 4x + 1 and g(x) = 4x - 3 Find f(x) * g(x)​

F(x) = 4x + 1 and g(x) = 4x - 3 Find f(x) * g(x)