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Nataly [62]
3 years ago
7

Help with algebra problem

Mathematics
1 answer:
dem82 [27]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

To find the answer, you just have to plug the (x,y) values into the equation to see if it is true.

3(1) > 5(-6) -12

3 > -30 -12

3 > -42

Since 3 > -42 the ordered pair is a solution to the inequality

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A rectangular floor is 9 yards long and 3 yards wide. What is the area in square feet!
Zarrin [17]
243 sq ft., hope this helped~
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3 years ago
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Compare the fraction 3/5 to 1/2 and then compare 2/6 to 1/2. Use symbols in your answer
worty [1.4K]
Hello there!

"Compare the fraction 3/5 to 1/2 and then compare 2/6 to 1/2. Use symbols in your answer"


To make this easier, we will make it so that both fractions in each pair has like bases.

To make 3/5 and 1/2 have a like base, we must make the denominators 10. To do this, we will do the following:

(3*2)/(5*2) = 6/10

(1*5)/(2*5) = 5/10

Now we can easily compare and not worry about the denominator

So, let's just look at the numerators. 

Which is greater, 5 or 6? We know 6 is greater, so:

6/10 > 5/10

That means:

3/5 > 1/2

Now, we must do the same for 2/6 and 1/2

We will make them both 6. So, we can leave 2/6 alone

2/6

(1*3)/(2*3) = 3/6

Now we have 2/6 and 3/6

Which is greater, 3 or 2. The answer to that is 2. So:

3/6 > 2/6

This means that 1/2 > 2/6


Our answers are:

1. 3/6 > 2/6

2. 1/2 > 2/6


I hope I was able to help you!

~ Fire




7 0
3 years ago
Part A: Create a third-degree polynomial in standard form. How do you know it is in standard form? (5 points)
Svetlanka [38]

Answer:

(See explanation for further details)

Step-by-step explanation:

a) Let consider the polynomial p(x) = 5\cdot x^{3} +2\cdot x^{2} - 6 \cdot x +17. The polynomial is in standards when has the form p(x) = \Sigma \limit_{i=0}^{n} \,a_{i}\cdot x^{i}, where n is the order of the polynomial. The example has the following information:

n = 3, a_{0} = 17, a_{1} = -6, a_{2} = 2, a_{3} = 5.

b) The closure property means that polynomials must be closed with respect to addition and multiplication, which is demonstrated hereafter:

Closure with respect to addition:

Let consider polynomials p_{1} and p_{2} such that:

p_{1} = \Sigma \limits_{i=0}^{m} \,a_{i}\cdot x^{i} and p_{2} = \Sigma \limits_{i=0}^{n}\,b_{i}\cdot x^{i}, where m \geq n

p_{1}+p_{2} = \Sigma \limits_{i=0}^{n}\,(a_{i}+b_{i})\cdot x^{i} + \Sigma_{i=n+1}^{m}\,a_{i} \cdot x^{i}

Hence, polynomials are closed with respect to addition.

Closure with respect to multiplication:

Let be p_{1} a polynomial such that:

p_{1} = \Sigma \limits_{i=0}^{m} \,a_{i}\cdot x^{i}

And \alpha an scalar. If the polynomial is multiplied by the scalar number, then:

\alpha \cdot p_{1} = \alpha \cdot \Sigma \limits_{i = 0}^{m}\,a_{i}\cdot x^{i}

Lastly, the following expression is constructed by distributive property:

\alpha \cdot p_{1} = \Sigma \limits_{i=0}^{m}\,(\alpha\cdot a_{i})\cdot x^{i}

Hence, polynomials are closed with respect to multiplication.

4 0
3 years ago
F(x)= -(x+7)²+4. Which of the following is true for f(x). Check all that apply
3241004551 [841]
A and D seem to be the only correct ones. Hope this helps

4 0
3 years ago
What are the factors of -9 that have a sum of 0
Bas_tet [7]

Answer:

3 and -3

Step-by-step explanation:

+3 -3 =0

sum mean adding

7 0
3 years ago
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