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MArishka [77]
4 years ago
6

Show how you could use a commutative property to simplify the evaluation of the expression -7/16 -1/4-5/16

Mathematics
1 answer:
puteri [66]4 years ago
5 0

In commutative property , we can add numbers in any order.

Here we are given with fractions

We can add or subtract fractions in any order

-\frac{7}{16} -\frac{1}{4} -\frac{5}{16}

We change the order of fraction that has same denominator so that we can add it more easily using commutative property

-\frac{7}{16} -\frac{5}{16} -\frac{1}{4}

The first two fractions have same negative sign and common denominator

so we add it

-\frac{12}{16} -\frac{1}{4}

Simplify the fraction 12/ 16

-\frac{3}{4} -\frac{1}{4}

Add the fractions

-\frac{4}{4} = -1

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Use the Factor Theorem to determine whether x + 1 is a factor of P(x) = 2x³+4x²–2x−8.
Harman [31]

Answer: 2x^2+2x-4-\frac{4}{x+1}

Not a factor because there is a remainder.

Step-by-step explanation:

Let's use synthetic division to solve this..

-1  ║ 2 | 4 | -2 | -8

   ║    | -2| -2 |  4

   ║ 2 | 2|  -4 |  -4

2x^2+2x-4-\frac{4}{x+1}

PS: if anyone knows a better way to do a synthetic division chart please let me know.

5 0
2 years ago
I need someone who can explain how to do this so I can understand please ASAP!!
Debora [2.8K]

Answer:

5

Step-by-step explanation:

An area is just a number squared, so we need to find the square root of the area.

Square root of 25 = 5

So each edge is 5 feet.

Hope this helps :)

4 0
3 years ago
What’s ratio less than 15/24?
Musya8 [376]

Answer:

the ratio less than 15/24 can be 1:2, 7:8

4 0
3 years ago
Complete the statements about the key features of the graph of f(x) = x5 – 9x3. As x goes to negative infinity, f(x) goes to neg
Mars2501 [29]
The function is f(x)= x^{5} -9x ^{3}

1. let's factorize the expression x^{5} -9x ^{3}:

f(x)= x^{5} -9x ^{3}= x^{3} ( x^{2} -9)=x^{3}(x-3)(x+3)

the zeros of f(x) are the values of x which make f(x) = 0.

from the factorized form of the function, we see that the roots are:

-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3

(the multiplicity of the roots is the power of each factor of f(x) )


2.  
The end behavior of f(x), whose term of largest degree is x^{5}, is the same as the end behavior of  x^{3}, which has a well known graph. Check the picture attached. 

(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of x^{2})

so, like the graph of x^{3}, the graph of f(x)= x^{5} -9x ^{3} :

"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "

7 0
3 years ago
Read 2 more answers
A number N divided by -9 is -16
lianna [129]

Answer: no

Step-by-step explanation:

algebraic expression for "a number , n, divided by 4 is 4. I

3 0
3 years ago
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