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3 years ago

What do you notice about the graph when it passess through a root of even multiplicity?

1 answer:

7 0

If a root of a polynomial has even multiplicity, the graph will touch the x-axis at the root but will not cross the x-axis.

Please leave a thanks <3

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Daniel wanted to know his approximate score on the final exam for his mathematics class. His professor hinted that his score was

frozen [14]

Answer: 101.69

Step-by-step explanation:

Formula we use to find the z-score :-

$z=\dfrac{x-\mu}{\sigma}$ (1)

Given : $\mu=90$

$\sigma=7$

Daniel's z score : z= 1.67

Let x be the raw score for Daniel's exam grade, then substitute the values of $\mu,\ \sigma\ and \ x$ in (1), we get

$1.67=\dfrac{x-90}{7}\\\\\Rightarrow\ x-90=7\times1.67\\\\\Rightarrow\ x=11.69+90=101.69$

Hence, the raw score for Daniel's exam grade = 101.69

3 0

3 years ago

5 points

saw5 [17]

B.30

cause 60 is 30 halted so yeah

6 0

2 years ago

Read 2 more answers

Find the tangent line approximation for 10+x−−−−−√ near x=0. Do not approximate any of the values in your formula when entering

Svetllana [295]

Answer:

$L(x)=\sqrt{10}+\frac{\sqrt{10}}{20}x$

Step-by-step explanation:

We are asked to find the tangent line approximation for $f(x)=\sqrt{10+x}$ near $x=0$ .

We will use linear approximation formula for a tangent line $L(x)$ of a function $f(x)$ at $x=a$ to solve our given problem.

$L(x)=f(a)+f'(a)(x-a)$

Let us find value of function at $x=0$ as:

$f(0)=\sqrt{10+x}=\sqrt{10+0}=\sqrt{10}$

Now, we will find derivative of given function as:

$f(x)=\sqrt{10+x}=(10+x)^{\frac{1}{2}}$

$f'(x)=\frac{d}{dx}((10+x)^{\frac{1}{2}})\cdot \frac{d}{dx}(10+x)$

$f'(x)=\frac{1}{2}(10+x)^{-\frac{1}{2}}\cdot 1$

$f'(x)=\frac{1}{2\sqrt{10+x}}$

Let us find derivative at $x=0$

$f'(0)=\frac{1}{2\sqrt{10+0}}=\frac{1}{2\sqrt{10}}$

Upon substituting our given values in linear approximation formula, we will get:

$L(x)=\sqrt{10}+\frac{1}{2\sqrt{10}}(x-0)$

$L(x)=\sqrt{10}+\frac{1}{2\sqrt{10}}x-0$

$L(x)=\sqrt{10}+\frac{\sqrt{10}}{20}x$

Therefore, our required tangent line for approximation would be $L(x)=\sqrt{10}+\frac{\sqrt{10}}{20}x$ .

8 0

3 years ago

Do the ratios form a proportion? Explain how you arrived at your answer. 9/6 and 156/104

sattari [20]

9:6,9/6, 9x6 156/104 , 156:104 , 156x104 because there the same thing but different signs

8 0

3 years ago

A right circular cylinder has a volume of 500 cu in. If the base has a radius of 4 in., what's the altitude of the cylinder? Rou

trasher [3.6K]

Hello!

The area of a cylinder formula- Area = Pi * radius squared * height

In this case we are looking for height (altitude) 

plug in our known values 

500 = area 
4 = radius 
Pi ~ 3.141592654 

to find height... 

500 = 3.141592654 * (4)^2 * height 

500 = 3.14 * 16 * height 

500 = 50.26 * height 

divide both sides by 50.26.. 

9.947 = height


9.95 is the Correct Answer ( letter C)

Hope this Helps! Have A Wonderful Day! :)

4 0

3 years ago

Read 2 more answers

What do you notice about the graph when it passess through a root of even multiplicity?​

What do you notice about the graph when it passess through a root of even multiplicity?