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NeX [460]
3 years ago
10

Mr. Bates and Ms. Psenicska like playing Pokemon. Mr. Bates has 3 packs of cards plus 2 other cards. Ms. Psenicska has 6 packs o

f cards plus 8 other cards. White an algebraic expression to represent this scenario.
Mathematics
1 answer:
Ivahew [28]3 years ago
6 0

Answer:

The only algebraic expressions we can find here are the ones for the number of cards that Mr. Bates and Ms. Psenicska have.

We know that Mr. Nates has 3 packs of cards, plus 2 other cards.

If each pack of cards has N cards, then the total number of cards of Mr. Nates is:

Mr. Nates = 3*N + 2

And Ms. Psenicska has 6 packs plus other 8 cards, then she has a total of:

Ms. Psenicska = 6*N + 8

These two are the only expressions we can make with the given information.

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Solve the system of equations by substitution.<br> y = 3x-7<br> 2x + 5y = 16
Virty [35]

Answer:

In the picture

Step-by-step explanation:

Hope that helps.

8 0
3 years ago
9-8x² The degree of the polynomial is​
3241004551 [841]

Answer:

4

Step-by-step explanation:

1. For polynomial 2x2 - 3x5 + 5x6.

We observe that the above polynomial has three terms. Here the first term is 2x2, the second term is -3x5 and the third term is 5x6.

Now we will determine the exponent of each term.

(i) the exponent of the first term 2x2 = 2

(ii) the exponent of the second term 3x5 = 5

(iii) the exponent of the third term 5x6 = 6

Since, the greatest exponent is 6, the degree of 2x2 - 3x5 + 5x6 is also 6.

Therefore, the degree of the polynomial 2x2 - 3x5 + 5x6 = 6.

2. Find the degree of the polynomial 16 + 8x – 12x2 + 15x3 - x4.

We observe that the above polynomial has five terms. Here the first term is 16, the second term is 8x, the third term is – 12x2, the fourth term is 15x3 and the fifth term is - x4.

Now we will determine the exponent of each term.

(i) the exponent of the first term 16 = 0

(ii) the exponent of the second term 8x = 1

(iii) the exponent of the third term – 12x2 = 2

(iv) the exponent of the fourth term 15x3 = 3

(v) the exponent of the fifth term - x4 = 4

Since, the greatest exponent is 4, the degree of 16 + 8x – 12x2 + 15x3 - x4 is also 4.

Therefore, the degree of the polynomial 16 + 8x – 12x2 + 15x3 - x4 = 4.

5 0
2 years ago
Hi! I have a question and I don't understand it's answer. Could you help me?It's in the attachment below.
Paladinen [302]

To solve this question, we just need to evaluate our set of points in the standard form equation of a Hyperbola, and find the coefficients. This will give to us the equation for our Hyperbola. The standard form is

\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1

Let's start with the easier points, the x-intercepts (5, 0) and (-1, 0).

Since this hyperbola has two x-intercepts, we're dealing with a horizontal hyperbola, and the center is the midpoint between the x-intercepts.

\begin{gathered} \bar{x}=\frac{x_1+x_2}{2}=\frac{-1+5}{2}=2 \\ \bar{y}=\frac{y_1+y_2}{2}=\frac{0+0}{2}=0 \end{gathered}

The center coordinates are (2, 0), then, our equation is

\frac{(x-2)^2}{a^2}-\frac{y^2}{b^2}=1

To find the missing coefficients, we can just substitute the remaining points and solve the system for a and b. Our final equation is

\frac{(x-2)^2}{9^{}}-\frac{y^2}{4}^{}=1

6 0
1 year ago
The actual length (1) of a rectangle is 122 inches. Use the scale drawing of the rectangle to find the actual width (w).
Natalija [7]

Answer:

B. 36 in.

Step-by-step explanation:

Length of the scale drawing (L) = 6.1 in.

Width of the scale drawing (W) = 1.8 in.

Actual length = 122 in.

Using the scale drawing we can apply the rules of three of proportions to find the actual width.

Thus, set the ratio of the scale drawing length to width, equal to the ratio of the actual length to width:

\frac{6.1}{1.8} = \frac{122}{x}

Cross multiply

6.1*x = 122*1.8

Divide both sides by 6.1

x = \frac{122*1.8}{6.1}

x = 36

Actual width of the rectangle = 36 in.

8 0
3 years ago
A trinomial is also a polynomial.<br><br> A. True<br> B. False
Vanyuwa [196]
The answer would be true because a polynomial consists of many terms and a trinomial has three terms.
8 0
3 years ago
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