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3 years ago

Which choice is equivalent to the expression below? use the FOIL method. (√x-2)(√x+3)

Mathematics

1 answer:

lora16 [44]3 years ago

6 0

Answer:

x + √x - 6

Step-by-step explanation:

Multiply out (√x-2)(√x+3) using the FOIL method:

Multiply the First terms: x

Multiply the Outside terms: 3√x

Multiply the Inside terms: -2√x

Multiply the Last terms: -6

Now combine these results. We get:

x + √x - 6

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Compound interest In Exercise,$3000 is invested in an account at interest rate r,compounded continuously.Find the time required

xenn [34]

Answer:

(a) 8.15

(b) 12.92

Step-by-step explanation:

Given: P = $3000, r = 0.085

$A = Pe^{rt}$

Where

A is the Amount

P is the Principal

r is the rate

t is the time

(a) For the amount to double, A = 2 × P

A = 2 × $3000

A = $6000

$6000 = 3000e^{0.085t}$

$\frac{6000}{3000} = e^{0.085t}$

$2 = e^{0.085t}$

Take $log_{e}$ of both sides

$log_{e}2 = log_{e}e^{0.085t}$

But $log_{e}e = 1$

∴ $ln2 = 0.085t$

$t = \frac{ln2}{0.085}$

$t = \frac{0.693}{0.085}$

t = 8.15

(b) For the amount to double, A = 3 × P

A = 3 × $3000

A = $9000

$9000 = 3000e^{0.085t}$

$\frac{9000}{3000} = e^{0.085t}$

$3 = e^{0.085t}$

Take $log_{e}$ of both sides

$log_{e}3 = log_{e}e^{0.085t}$

But $log_{e}e = 1$

∴ $ln3 = 0.085t$

$t = \frac{ln3}{0.085}$

$t = \frac{1.0986}{0.085}$

t = 12.92

5 0

3 years ago

Find the equation for a polynomial f(x) that satisfies the following:

denis-greek [22]

Answer:

f(x) = 1/2(4 - x)(x - 1)(x - 2)

Step-by-step explanation:

Considering zero's and a coefficient, the function is:

f(x) = a(x - 4)(x - 1)(x - 2)

Considering y-intercept:

f(0) = a(0 - 4)(0 - 1)(0 - 2)

4 = a(-4)(-1)(-2)

4 = -8a

a = -1/2

So the function is:

f(x) = -1/2(x - 4)(x - 1)(x - 2) = 1/2(4 - x)(x - 1)(x - 2)

3 0

2 years ago

Find the value of the expression 6x + 3xy, when x = 2 and y = 4.

damaskus [11]

<h3>✽ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ✽</h3>

➷ Substitute in the values:

6(2) + 3(2)(4)

Now just solve:

12 + 24 = 36

The answer is 36

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

7 0

3 years ago

Read 2 more answers

Romeo had pound of fudge left. He divided the remaining fudge into -pound 5 16 bags. Write and solve an equation that models the

lbvjy [14]

Answer:

3/4 / 5/16

Step-by-step explanation:

3/4 / 5/16 = 15/2 pound bags

8 0

2 years ago

Solve for x <br> 23=7/9(6z-36)+9

zzz [600]

Answer: $z=9$

Step-by-step explanation:

If you meant to solve for "z", then refer to the attachment below.

3 0

2 years ago

Read 2 more answers

Which choice is equivalent to the expression below? use the FOIL method. (√x-2)(√x+3)​

Which choice is equivalent to the expression below? use the FOIL method. (√x-2)(√x+3)