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polet [3.4K]
4 years ago
7

Which polynomial lists the powers in descending order? A. –10 + 4x3 – 4x5 + 2x4 + x7 B. x7 – 4x5 + 2x4 + 4x3 – 10 C. x7 + 4x3 +

2x4 – 4x5 – 10 D. 4x3 – 4x5 + 2x4 + x7 – 10
Mathematics
1 answer:
Hoochie [10]4 years ago
8 0
Answer is B. x^7 - 4x^5 + 2x^4 + 4x^3 - 10
Here are a few rules of order
1. X values are always first, then y values
2. The highest exponent within that variable goes first (x^7 comes before x^5)
3. Numbers come after variables
Don't let the coefficients trick you since they are irrelevant if the exponent is higher. Automatically we know that -10 goes last because it is just a number. Then, you just order the x's from highest to lowest.

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Factorise <br><img src="https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B4%7D%20%20-%2016" id="TexFormula1" title=" {a}^{4} - 16" alt="
Zina [86]

Since both terms are perfect squares, factor using the difference of squares formula,  a ^2 − b^ 2 = ( a + b ) ( a − b )  where  a = a ^2  and  b = 4 . ( a ^2 + 4 ) ( a + 2 ) ( a − 2 )

7 0
3 years ago
HELP!!
Liono4ka [1.6K]

Answer:

Part 1: The polygon ABCDE reflected across y-axis to get the polygon MNOPQ. So, the polygon ABCDE congruent to polygon MNOPQ.

Part 2: The vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3), and Z(-3, 1).

Step-by-step explanation:

Part 1:

The vertices of the polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8), and E(6, 6).

The vertices of the polygon MNOPQ are M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8), and Q(-6, 6).

We need to find the transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ.

The relation between the vertices of ABCDE and MNOPQ are defined as

(x,y)\rightarrow (-x,y)

It means the polygon ABCDE reflected across y-axis to get the polygon MNOPQ. So, the polygon ABCDE congruent to polygon MNOPQ.

Part 2:

If polygon MNOPQ is translated 3 units right and 5 units down, then

(x,y)\rightarrow (x+3,y-5)

M(-2,8)\rightarrow V(-2+3,8-5)=V(1,3)

N(-4,12)\rightarrow W(-4+3,12-5)=W(-1,7)

O(-10,12)\rightarrow X(-10+3,12-5)=X(-7,7)

P(-8,8)\rightarrow Y(-8+3,8-5)=Y(-5,3)

Q(-6,6)\rightarrow Z(-6+3,6-5)=Z(-3,1)

Therefore the vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3), and Z(-3, 1).

6 0
3 years ago
Does 10p/2q = 5p/q<br> I think it is not equal but it doesn't seem right.
Rufina [12.5K]

Answer: \frac{10p}{2q}=\frac{5p}{q}  (TRUE)

Step-by-step explanation:

For this exercise it is important to remember that, by definition, fractions have the following form:

\frac{a}{b}

Where "a" is the numerator and "b" is the denominator.

The numerator and the denominator are Integers, but the denominator cannot be zero (b\neq 0)

In this case you have the following equation provided in the exercise:

\frac{10p}{2q}=\frac{5p}{q}

To find out if the left side of the equation is equal to the right side, it is necessary to simplify the fraction on the left.

Notice that the numerator and the denominator of the fraction on the left  can be both divided by 2. Then, you can simplify it.

So, you get;

\frac{5p}{q}=\frac{5p}{q}\ (TRUE)

6 0
4 years ago
Tell me step by step how to change a mixed fraction to an improper fraction using an example.PLS HELP I NEED it I give you 15 po
Serjik [45]

Step-by-step explanation:

say you have 1 1/4 what you would do is you would multiply 4*1 which is 4+ the top number of the fraction which is 4+1= 5 so now your fraction in is 5/4 .

8 0
3 years ago
Weir and Max put $75 in quarters and dimes in the box. There were 400 more dimes than quarters. How many coins of each type were
anyanavicka [17]

Answer:

100 quarters = 2500 cents = $25

500 dimes = 5000 cents = $50

total = $75

Step-by-step explanation:

3 0
3 years ago
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