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3 years ago

12

Solve stems by elimination -3x+2y=-14 -9x+6y=-18

1 answer:

vazorg [7]3 years ago

3 0

Answer:

I am getting no solution. Are there any answers that go with the problem?

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The value 5 is an upper bound for the zeros of the function shown below.

Mice21 [21]

Answer:

The given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.

Step-by-step explanation:

Given

$f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18$

We know the rational zeros theorem such as:

if $x=c$ is a zero of the function $f(x)$ ,

then $f(c) = 0$ .

As the $f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18$ is a polynomial of degree $4$ , hence it can not have more than $4$ real zeros.

Let us put certain values in the function,

$f(5) = 448$ , $f(4) = 126$ , $f(3) = 0$ , $f(2) = -20$ ,

$f(1) = 0$ , $f(0) = 18$ , $f(-1) = 16$ , $f(-2) = 0$ , $f(-3) = 0$

From the above calculation results, we determined that $4$ zeros as

$x = -3, -2, 1,$ and $3$ .

Hence, we can check that

$f(x) = (x+3)(x+2)(x-1)(x-3)$

Observe that,

$for x > 3$ , $f(x)$ increases rapidly, so there will be no zeros for $x>3$ .

Therefore, the given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.

5 0

3 years ago

Andy is hanging wallpaper in his kitchen. He is able to cover of the walls in the room using 6 rolls of wallpaper. What is the n

slamgirl [31]

The number of rolls per wall is one and a half rolls

4 0

3 years ago

Read 2 more answers

Simplify ten to the eighth divided by ten to the negative third.

In-s [12.5K]

Answer:

$10^{11}$

Step-by-step explanation:

A statement is given i.e. "ten to the eighth divided by ten to the negative third."

It means that 10 to power 8 divided by 10 to the power -3.

Mathematically,

$\dfrac{10^8}{10^{-3}}$

We know that, $\dfrac{x^a}{x^b}=x^{a-b}$

Here, x = 10, a = 8 and b = -3

So,

$\dfrac{10^8}{10^{-3}}=10^{8-(-3)}\\\\=10^{8+3}\\\\=10^{11}$

So, the answer is $10^{11}$

7 0

4 years ago

Find the value of y in the diagram below.

larisa [96]

$Answer: \\ 4(2y - 20) + 2y = 720 \\ \Leftrightarrow 2(2y - 20) + y = 360 \\ \Leftrightarrow 4y - 40 + y = 360 \\ \Leftrightarrow 5y = 400 \\ \Leftrightarrow y = 80°$

8 0

3 years ago

If f(x) = 3x-2 and g(x) = 2x + 1 find (f-g)(x)

Marat540 [252]

Answer:

x-3

Step-by-step explanation:

f(x) = 3x-2

g(x) = 2x + 1

(f-g)(x) = 3x-2 - (2x+1)

Distribute the minus sign

=3x-2-2x-1

Combine like terms

= 3x-2x-2-1

=x-3

6 0

3 years ago