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miskamm [114]
3 years ago
11

Fill in the missing reasons (one for each step). Given: 3x – 6y = 27; x = 5 Prove: -2 = y

Mathematics
1 answer:
JulsSmile [24]3 years ago
5 0

Answer:

a. Given,

b. Substitution

c. Subtraction of equality

d. Division of equality

e. Symmetric property of equality

Step-by-step explanation:

Given expression,

3x - 6y = 27; x = 5

By substituting x = 5,

3(5) - 6y = 27

15 - 6y = 27

By subtraction property of equality,

-6y = 12

Division property of equality,

y = -2

By symmetric property of equality,

-2 = y

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The polynomial p(x)=1−2x2−3x3+4x has what order?<br><br> a. 4<br> b. 2<br> c. 3<br> d. 1
VLD [36.1K]

Answer:

3

Step-by-step explanation:

Given the polynomial : p(x)=1−2x2−3x3+4x

Rearranging : p(x) = -3x³ - 2x² + 4x + 1

Looking at the polynomial Given, we can see that it is a univariate polynomial, that is it has only one variable which is x. Thus for polynomials of this sort, the order of the polynomial is the highest exponent occurring in the polynomial equation. Therefore, the order of the polynomial above is 3, because the highest power of the function is 3.

This means that those with 4 as their highest exponent are of order 4 and those with highest exponent as 2 are of order 2.

3 0
3 years ago
Need help ASAP. Last two problems on my study guide, can't seem to solve them?
Dimas [21]

Answer:

9) 4

10) p¹⁵/q⁹        

Step-by-step explanation:

9)

As per the law of indices, (xᵃ)ᵇ=xᵃᵇ.

So divide 8 by 2 to get 4

10)

p(p⁻⁷q³)⁻²q⁻³

p(p¹⁴q⁻⁶)q⁻³       <em>(because (xᵃ)ᵇ=xᵃᵇ)</em>

pq⁻³(p¹⁴q⁻⁶)

p¹⁵q⁻⁹

p¹⁵/q⁹                <em>(because x⁻ᵃ =1 /xᵃ)</em>

4 0
3 years ago
What ratio forms a proportion with 14/42?<br> A. 1/4<br> B. 7/21<br> C. 12/40<br> D. 28/80
koban [17]

Hey there!

"What ratio forms a proportion with \frac{14}{42} ?"

              - \frac{14}{45} =0.56 (for the decimal)

  • A) \frac{1}{4} =0.25 (incorrect)
  • B) \frac{7}{21} =0.33 (Incorrect)
  • C) \frac{12}{40} 0.3 (incorrect)
  • D) \frac{28}{80} 0.7 (incorrect)

But in order for you to solve this particular equation you'd have to go in with two (like multiplying by two)

  • 1\times2= 2 ;   4\times2 = 8 (incorrect)
  • 7\times 2= 14 ; 21\times2 = 42 (correct)
  • 12 \times2 = 24 ; 40\times 2 = 80 (incorrect)
  • 2 \times 28 = 56 ; 2\times 80 = 160 (incorrect)

Your result: \boxed{Answer: B. \frac{7}{21} }

Good luck on your assignment and enjoy your day!

~\bold{LoveYourselfFirst:) }



3 0
3 years ago
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