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3 years ago

What is the absolute value equation for this graph?

Mathematics

1 answer:

Delvig [45]3 years ago

6 0

Answer:

y = |x-3| -1

Step-by-step explanation:

The parent function has been shifted right 3 units and down 1 unit. That is f(x)=|x| has been moved to ...

y = f(x -3) -1

y = |x -3| -1 . . . . matches the last choice

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Does 5^9 x 6^7= 30^16 ?

Gemiola [76]

Yes. When solving a problem like this, multiply the base numbers normally, and add the exponents together.

If you need more help, comment below and I'd be happy to assist.

5 0

3 years ago

Given a leading coefficient of 8, polynomial roots of 1 & 2, and the known point on the graph (4,5). Write an equation that

m_a_m_a [10]

Given:

The leading coefficient of a polynomial is 8.

Polynomial roots are 1 and 2.

The graph passes through the point (4,5).

To find:

The 3rd root and the equation of the polynomial.

Solution:

The factor form of a polynomial is:

$y=a(x-c_1)(x-c_2)...(x-c_n)$

Where, a is a constant and $c_1,c_2,...,c_n$ are the roots of the polynomial.

Polynomial roots are 1 and 2. So, $(x-1)$ and $(x-2)$ are the factors of the polynomial.

Let the third root of the polynomial by c, then $(x-c)$ is a factor of the polynomial.

The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:

$y=8(x-1)(x-2)(x-c)$

The graph passes through the point (4,5). Putting $x=4,y=5$ , we get

$5=8(4-1)(4-2)(4-c)$

$5=8(3)(2)(4-c)$

$5=48(4-c)$

Divide both sides by 48.

$\dfrac{5}{48}=4-c$

$c=4-\dfrac{5}{48}$

$c=\dfrac{192-5}{48}$

$c=\dfrac{187}{48}$

Therefore, the 3rd root on the polynomial is $\dfrac{187}{48}$ .

8 0

2 years ago

Please I NEED HELP HURRY The quotient of six and a number subtracted from 100 Question A 100 - 6/x Question B 6/x - 100 Question

jasenka [17]

For this case we have that the quotient of 6 and a number, can be expressed as:

$\frac {6} {x}$

Where the variable "x" represents the incognito number.

Now we have that expression is subtracted from 100. Now, we can write the following:

$100- \frac {6} {x}$

ANswer:

Option A

4 0

3 years ago

A weather report said there is a 60% chance of rain on Monday, and a 30% chance of rain on Tuesday. Based on the report, what is

sergey [27]

Answer:

The answer is 18 percent, or 9/50.

Step-by-step explanation:

We first convert the chance of rain on Monday into a fraction.

60%=60/100=3/5.

We then convert the chance of rain on Tuesday into a fraction.

30%=30/100=3/10.

Because the two events are independent(i.e. If it rains on Tuesday doesn't depend on if it rains on Monday) we multiply them together to get the probability they both happen. That chance is:

3/5 * 3/10=(3*3)/(5*10)=9/50(fraction form)=18/100=18%(percent form)

5 0

2 years ago

55g as a percentage of 2.2kg

Evgesh-ka [11]

Answer:

2.5%

2.2kg=2200g

<u> $\frac{x}{100} \times 2200 = 55 \\ 22x = 55 \\ x = 2.5\%$ </u>

3 0

3 years ago