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3 years ago

10

So far monica has read 5 out of 6 of a book. She read the same nuber of pages each day gor 5days. What fraction of the book does

monica read each day

1 answer:

Oksanka [162]3 years ago

8 0

4/24 is the answer to this question

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Can you check if I did this right? (:

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The graph looks accurate make sure you create a table of values and clearly dot the points at (0,-3) and (2,-3).

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3 years ago

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Determine the value of (2^3)^2.

xz_007 [3.2K]

2^6 is the answer. Multiply the rules because it’s a rule

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there is a total of 10 pages of homework. sophia worked on some pages on monday if she has 3 pages left how many pages did sophi

Oxana [17]

Answer:

7

Step-by-step explanation:

Since, Sophia had three pages of homework and she only has three left you can set up an equation to solve. The equation would be 10=x-3, then you just solve the equation which would be 7, hope that helped.

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3 years ago

Find all values of x for which the series converges. (Enter your answer using interval notation.) [infinity] 9 x − 7 9 n n = 0 F

makkiz [27]

Answer:

The series converges to $\frac{1}{1-9x}$ for $\frac{-1}{9} < x < \frac{1}{9}$

Step-by-step explanation:

Given the series is $\sum_{n=0}^{\infty} 9^n x^n$

We have to find the values of x for which the series converges.

We know,

$\sum_{n=0}^{\infty} ar^{n-1}$ converges to (a) / (1-r) if r < 1

Otherwise the series will diverge.

Here, $\sum_{n=0}^{\infty} 9^n x^n = \sum_{n=0}^{\infty} (9x)^{n}$ is a geometric series with |r| = | 9x |

And it converges for |9x| < 1

Hence, the given series gets converge for $\frac{-1}{9} < x < \frac{1}{9}$

And geometric series converges to $\frac{a}{1-r}$

Here, a = 1 and r = 9x

Therefore, $\frac{a}{1-r} = \frac{1}{1-9x}$

Hence, the given series converges to $\frac{1}{1-9x}$ for $\frac{-1}{9} < x < \frac{1}{9}$

4 0

3 years ago

Write a polynomial f(x) that meets the given conditions. Answers may very

AnnZ [28]

The polynomial is: $f(x)=x^3-2x^2-23x+60$

Step-by-step explanation:

We need to write a polynomial f(x) that meets the given conditions: Degree 3 polynomial with zeros 3,-5,4

Since zeros are at 3,-5 and 4

So, x=3, x=-5 and x=4

or:

x-3=0, x+5=0 and x-4=0

Multiplying all factors to find the polynomial:

$(x-3)(x+5)(x-4)=0\\(x(x+5)-3(x+5))(x-4)=0\\(x^2+5x-3x-15)(x-4)=0\\(x^2+2x-15)(x-4)=0\\x(x^2+2x-15)-4(x^2+2x-15)=0\\x^3+2x^2-15x-4x^2-8x+60=0\\x^3+2x^2-4x^2-15x-8x+60=0\\x^3-2x^2-23x+60=0$

So, the polynomial is: $f(x)=x^3-2x^2-23x+60$

keywords: Factors and zeros of polynomial

Learn more about Factors and zeros of polynomial at:

#learnwithBrainly

4 0

3 years ago