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2 years ago

Write the equation of the specified graphs below.

Mathematics

1 answer:

timurjin [86]2 years ago

8 0

Answer:

Given are the transformations of the square root function:

f(x) = $\sqrt{x}$

Line a, translation to the left:

f(x) = $\sqrt{x+3}$

Line b, reflection over x-axis, translation to the right and up:

f(x) = $-\sqrt{x-2}+1$

Line c, translation to the left and down:

f(x) = $\sqrt{x+3}-2$

Line d, reflection over x-axis, translation down:

f(x) = $-\sqrt{x} -3$

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Which real numbers are zeros of the function?

monitta

<h3>The roots are -1/2, 0, 2, and 3.</h3>

Let's trying factoring this polynomial.

We can factor an x out of each term to start.

x(2x^3 - 9x^2 + 7x + 6)

We now know one of the roots is going to be zero.

Using the rational roots theorem, and the remainder theorem, we can try to find some more roots that way.

Factors of 6: 1, 2, 3, 6.

Factors of 2: 1

Possible rational roots: +/-1/2, +/-1, +/-2, +/-3/2, +/-3, +/-6

Using the remainder theorem, we can plug these values into the polynomial, and if we get a remainder of zero, we know it's a root.

-1/2(2(-1/2)^3 - 9(-1/2)^2 + 7(-1/2) + 6) = 0

Our first root is -1/2.

We can successfully factor a -1/2 out of this polynomial.

After diving the polynomial by -1/2, we're left with: 2x^2 - 10x + 12.

We can now try using the AC method to get our last two roots.

First, we can factor this polynomial to simplify it.

Divide all terms by 2.

2(x^2 - 5x + 6)

Now let's try using the AC method.

The digits -3 and -2 satisfy the criteria.

2(x - 3)(x - 2)

We now have all of our roots: 0, -1/2, 2, and 3.

6 0

3 years ago

free 50 and for those who are missing out i've been giving away 50 and 100 points almost all day i'm still doing it two

Flura [38]

Thank you so much!!! :)

4 0

3 years ago

Read 2 more answers

The heights (in inches) and pulse rates (in beats per minute) for a sample of 40 women were measured. Using technology with the

Viktor [21]

Answer:

There is not sufficient evidence to support the claim that there is a linear correlation between the heights and pulse rates of women

Step-by-step explanation:

The correlation coefficient between the variables h(height in inches) and pulse rates (in beats per minute) is 0.202

Sample size n=40

Level of significane alpha = 0.01

Create null and alternate hypothesis as:

H0: r=0

Ha: r not equal 0

(Two tailed test at 1% significance level)

Sample r = 0.202

r difference = 0.202

test statistic t = $\frac{r\sqrt{n-2} }{\sqrt{1-r^2} } \\=\frac{0.202(\sqrt{38} )}{\sqrt{0.9592} } \\=\frac{1.25}{0.9794} \\=1.271$

df =n-2 =38

t critical value for 0.01 and df =38 is 2.704

Since our test statistic lies below 2.704, we accept null hypothesis

There is not sufficient evidence to support the claim that there is a linear correlation between the heights and pulse rates of women

7 0

3 years ago

Tion

igomit [66]

Answer:

Step-by-step explanation:

7 0

2 years ago

Which of the following is equivalent to 60 5? BD 2 VGO 60 - - /60

AVprozaik [17]

Answer:

second choice: √60

Step-by-step explanation:

60^(1/2) is equal to √60

7 0

2 years ago

Write the equation of the specified graphs below. ​

Write the equation of the specified graphs below.