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3 years ago

Y = f(x) = (-2)^x

Mathematics

1 answer:

guapka [62]3 years ago

5 0

Step-by-step explanation: The value of f(x) when x=-1 is 0.5

Therefore

Step-by-step explanation:

Given that y=f(x)=

to find the f(x) when x=-1 :

That is to find f(-1)

Put x=-1 in the given function f(x)=

Therefore

The value of f(x) when x=-1 is 0.5

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Can someone please help me?

kvasek [131]

now, let's recall the rational root test, check your textbook on it.

so p = 18 and q = 1

so all possible roots will come from the factors of ±p/q

now, to make it a bit short, the factors are loosely, ±3, ±2, ±9, ±1, ±6.

recall that, a root will give us a remainder of 0.

let us use +3.

$\bf x^4-7x^3+13x^2+3x-18 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{r|rrrrr} 3&1&-7&13&3&18\\ &&3&-12&3&18\\ \cline{1-6} &1&-4&1&6&0 \end{array}\qquad \implies (x-3)(x^3-4x^2+x+6)$

well, that one worked... now, using the rational root test, our p = 6, q = 1.

so the factors from ±p/q are ±3, ±2, ±1

let's use 3 again

$\bf \begin{array}{r|rrrrr} 3&1&4&1&6\\ &&3&-3&-6\\ \cline{1-5} &1&-1&-2&0 \end{array}\qquad \implies (x-3)(x-3)(x^2-x-2)$

and of course, we can factor x²-x-2 to (x-2)(x+1).

(x-3)(x-3)(x-2)(x+1).

7 0

3 years ago

A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 84 inches. (A

Kisachek [45]

Answer:

A. 14x14x28

B. The maximum volume is 5488 cuibic inches

Step-by-step explanation:

The problem states that the box has square ends, so you can express volume with:

$v=x^{2} y$

Using the restriction stated in the problem to get another equation you can substitute in the one above:

$4x+y=84\\\\$

Substituting <em>y</em> whit this equation gives:

$v=x^{2} (84-4x)\\\\v=84x^{2} -4x^{3}$

Now find the limit of <em>x</em>:

$\frac{84x^{2}-4x^{3}}{dx}=168x-12x^{2}\\\\x=\frac{168}{12}=14$

Find the length:

$y=84-4(14)=28$

You can now calculate the maximum volume:

$v=(14)^{2}(28)= 5488$

6 0

2 years ago

Three functions are given below: f(x), g(x), and h(x).

Rzqust [24]

Answer: The axis of symmetry is x=1.

Explanation:

The given function is,

$g(x)=5x^2-10x+7$

The degree of the equation is 2. SInce it is a quadratic function therefore the graph of the function is a parabola.

The axis of symmetry of a parabolic function $f(x)=ax^2+bx+c$ is a vertical line,

$x=-\frac{b}{2a}$

Since the value of a is 5m b is -10 and c is 7, So the axis of symmetry is,

$x=-\frac{(-10)}{2(5)}$

$x=\frac{10}{10}$

$x=1$

Therefore, the axis of symmetry is x=1.

5 0

2 years ago

What is the value of x in the equation: 3x – 5x + 10 = 36

nika2105 [10]

This is the answerrrrrrrrr

5 0

2 years ago

Read 2 more answers

Emily has 7 cups of water in a jug.If she drinks 2/3 of a cup every hour.How long would it take her to drink the whole jug

zepelin [54]

It would take her 10.5 hours to drink the whole jug.

Step-by-step explanation:

Given,

Cups of water in jug = 7

Water drunk every hour = $\frac{2}{3}$ of cup

Let,

x be the number of hours.

According to given statement;

$\frac{2}{3}x=7$

Multiplying both sides by $\frac{3}{2}$

$\frac{3}{2}*\frac{2}{3}x=7*\frac{3}{2}\\x=\frac{21}{2}\\x=10.5$

It would take her 10.5 hours to drink the whole jug.

Keywords: fractions, multiplication

Learn more about fractions at:

#LearnwithBrainly

8 0

2 years ago