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3 years ago

Please help urgently help❤️❤️❤️

Mathematics

1 answer:

miss Akunina [59]3 years ago

8 0

Answer:

Question 3 - B

Question 5 - A

Step-by-step explanation:

Question 3

-2(x+6)(x-1) - answer B

Expand the brackets

(x+6)(x-1) = x² - x + 6x - 6

Simplify = x² + 5x - 6

Now multiply this by -2

-2(x² + 5x - 6) = -2x² + 10x + 12

Question 5

5(x² + 8)(x² - 8) - answer A

First expand brackets.

(x² + 8)(x² - 8) = x⁴ - 8x² + 8x² - 64

8x² cancels out to x⁴ - 64

Now multiply this by 5

5(x⁴ - 64) = 5x⁴ - 320

Hope this has helped. These are the answers I can help with.

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Translate the following into an algebraic expression:

Nata [24]

For this case, the first thing we must do is define variables.

We have then:

x: number of minutes

y: total cost

We write the algebraic expression that models the problem.

We have then:

$y = 10 * (\frac{20}{60}) x$

Simplifying we have:

$y = (\frac{10}{3}) x$

Then, by the time the cost is equal to $ 300 we have:

$300 = (\frac{10}{3}) x$

From here, we clear the value of x.

Answer:

an algebraic expression for the problem is:

$300 = (\frac{10}{3}) x$

3 0

3 years ago

WHAT IS X³-27 SIMPLIFIED

Eduardwww [97]

Answer:

It is (x - 3)³ - 9x(3 - x)

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

$= {x}^{3} - {3}^{3}$

From trinomial expansion:

${(x - y)}^{3} = (x - y)(x - y)(x - y) \\$

open first two brackets to get a quadratic equation:

${(x - y)}^{3} = ( {x}^{2} - 2xy + {y}^{2} )(x - y)$

expand further:

${(x - y)}^{3} = {x}^{3} - y {x}^{2} - 2y {x}^{2} + 2x {y}^{2} + x {y}^{2} - {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3x {y}^{2} - 3y {x}^{2} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3xy(y - x) \\ \\ { \boxed{( {x}^{3} - {y}^{3} ) = {(x - y)}^{3} - 3xy(y - x)}}$

take y to be 3, then substitute:

$( {x}^{3} - 3^3) = {(x - 3)}^{3} - 9x(3 - x)$

5 0

3 years ago

Cindy is buying a new car and wants to learn how the value of her car will change over time. Insurance actuaries predict the fut

lawyer [7]

Answer:

$C=10000(0.852)^t$

Step-by-step explanation:

Let the exponential function be,

$C=a(b)^t$

Here, C = cost of the car

t = Duration or period in years

From the given table,

Two points representing cost of the car and time are (10000, 0) and (8520, 1),

For (10000, 0),

$10000=a(b)^0$

a = 10000

For (8520, 1)

8520 = $10000(b)^1$

$b=\frac{8520}{10000}$

b = 0.8520

Therefore, exponential equation will be,

$C=10000(0.852)^t$

8 0

3 years ago

!!Please Help Asap!!Besides being a fraction, what is another way to describe the meaning of 35/11?

viktelen [127]

Answer:

Well if you are saying another way to write 35/11 that would be in a decimal which is 3.18182

4 0

3 years ago

A ball is thrown upward with an initial velocity of 96 ft/sec from a height 640 ft. Its height h, in feet, after t seconds is

olchik [2.2K]

Check the picture below.

thus is at 0 = -16t² + 96t +640,

$\bf 0=-16t^2+96t+640\implies 0=-16(t^2-6t-40)
\\\\\\
0=t^2-6t-40\implies 0=(t-10)(t+4)\implies t=
\begin{cases}
\boxed{10}\\
-4
\end{cases}$

well, clearly it can't be a negative value for the elapsed seconds, so it can't be -4.

5 0

4 years ago