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2 years ago

Please help! 3 Questions please show how you solved the problem

Mathematics

1 answer:

Masteriza [31]2 years ago

5 0

Answer:

1) $(-y^2-4y-8+4y^2+6y-3)$

2) $32x^5y^4z^2$

3) $x^3-9x^2+14x+24$

Step-by-step explanation:

Given the expression we have to simplify the expression

1) $(-y^2-4y-8)-(-4y^2-6y+3)$

⇒ $(-y^2-4y-8+4y^2+6y-3)$

Combining like terms, we get

⇒ $3y^2+2y-11$

2.) $(2x^2y^3z^2)(4xy.4x^2)$

⇒ $(2x^2y^3z^2)(16x^3y)$

⇒ $32x^5y^4z^2$

3.) $(x-4)(x^2-5x-6)$

⇒ $x^3-5x^2-6x-4x^2+20x+24$

⇒ $x^3-9x^2+14x+24$

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The table of values represents an exponential function f(x).

Ostrovityanka [42]

Answer:

-3.98 (nearest hundredth)

Step-by-step explanation:

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

$\dfrac{f(b)-f(a)}{b-a}$

Given interval: -2 ≤ x ≤ 2

$\implies a = -2$

$\implies b = 2$

$\implies f(a) = f(-2)=16$

$\implies f(b) =f(2)= \dfrac{1}{16}$

Substituting the values into the equation:

$\begin{aligned}\implies \textsf{rate of change} & =\dfrac{\frac{1}{16}-16}{2-(-2)}\\\\ & = \dfrac{-\frac{255}{16}}{4}\\\\ & = -\dfrac{255}{64}\\\\ & = -3.98\: \sf (nearest\:hundredth)\end{aligned}$

7 0

2 years ago

If f(x)=3^x+10x and g(x)=4x-2, find (f+g)(x)

Vikentia [17]

Hi there!

First we need to remember the following.
$(f + g)(x) = f(x) + g(x)$

Now substitute both of the formulas.
$(f + g)(x) = ({3}^{x} + 10x)+ (4x - 2)$

Work out the parenthesis.
$(f + g)(x) = {3}^{x} + 10x + 4x - 2$

And finally collect terms.
$(f + g)(x) = {3}^{x} + 14x - 2$

~ Hope this helps you!

3 0

3 years ago

Read 2 more answers

a scuba diver descended at a rate of 2 1/4 per second. If 0 represents the surface of the water and distances below the surface

Shtirlitz [24]

Answer:

The location will be at $- 28\frac{1}{8}$ units.

Step-by-step explanation:

A scuba diver descended at a rate of $2\frac{1}{4}$ units per second.

Now, if 0 represents the surface of the water and distances below the surface are negative, then after $12\frac{1}{2}$ seconds the location of the diver will be given by the followings :

In one second the diver descends by 2.25 units depth.

So, in 12.5 seconds the diver will descend by $(2.25 \times 12.5) = 28.125$ units i.e. $28\frac{1}{8}$ units depth.

Therefore, the location will be at $- 28\frac{1}{8}$ units. (Answer)

6 0

3 years ago

Mehvish buys 1/2 kg carrots, 3 kg potatoes, 2 kg onions and 1 1/2kg of chicken.

ozzi

Answer:

The amount of change will be £7.99

Step-by-step explanation:

Here, we want to calculate the amount of change that Mehvish should get

1/2 kg carrots at 50 p per kg will be;

1/2 * 50 = 25 p

3 kg potatoes at 64 p per kg will be

3 * 64 = p 192

2 kg onions at 42 p per kg

2 * 42 p = 84 p

1 1/2 kg chicken at £6 per kg will be:

since £1 is 100 p

1.5 * 6 = £9 (9 * 100 p = 900p)

since £1 is 100 p

£20 will be;

20 * 100 = 2,000 p

So let us make the subtraction as follows;

2,000- 900 - 84-192 - 25 = 799 p

In pounds, this is divided by 100

we have this as 799/100 = £7.99

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3 years ago

The function f(x) = (10)–x is reflected across the x-axis to create the function g(x). Which ordered pair is on g(x)? (–2, 75) (

IRINA_888 [86]

Neither point is on either function.
f(x) reflected over the x-axis is
y=-10 + x

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2 years ago