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Alex73 [517]
3 years ago
7

Find the solution to the system of equations.

Mathematics
1 answer:
frutty [35]3 years ago
8 0
(-1, 1)
Find the coordinates of the intersection between the lines.
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Given that f(x) = x^2 – 2x - 63 and g(x) = x + 7, find (f - g)(x)
Juliette [100K]

Answer:

(f - g)(x) = x² - 3x - 70

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x² - 2x - 63

g(x) = x + 7

(f - g)(x) is f(x) - g(x)

<u>Step 2: Find (f - g)(x)</u>

  1. Substitute:                               (f - g)(x) = x² - 2x - 63 - (x + 7)
  2. Distribute -1:                            (f - g)(x) = x² - 2x - 63 - x - 7
  3. Combine like terms (x):          (f - g)(x) = x² - 3x - 63 - 7
  4. Combine like terms (Z):          (f - g)(x) = x² - 3x - 70
3 0
3 years ago
How can I solve this problem
never [62]
This is number 14 answer

7 0
3 years ago
Finding Side Lengths in a Right Triangle<br> What is the value of s?<br> units
zavuch27 [327]

Answer:

hypotenuse=root of( base square + height square)

Step-by-step explanation:

by using pythogorus theorem we can find the side of any right triangle square

5 0
3 years ago
Read 2 more answers
Give the expression 4n^2t/2n^t-1, write the expression as a binomial.
lubasha [3.4K]

 <span>binomial </span>is an algebraic expression containing 2 terms. For example, (x + y) is a binomial.

We sometimes need to expand binomials as follows:

(a + b)0 = 1

(a + b)1 = a + b

(a + b)2 = a2 + 2ab + b2

(a + b)3 = a3 + 3a2b + 3ab2 + b3

<span>(a + b)4</span> <span>= a4 + 4a3b</span><span> + 6a2b2 + 4ab3 + b4</span>

<span>(a + b)5</span> <span>= a5 + 5a4b</span> <span>+ 10a3b2</span><span> + 10a2b3 + 5ab4 + b5</span>

Clearly, doing this by direct multiplication gets quite tedious and can be rather difficult for larger powers or more complicated expressions.

Pascal's Triangle

We note that the coefficients (the numbers in front of each term) follow a pattern. [This was noticed long before Pascal, by the Chinese.]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

You can use this pattern to form the coefficients, rather than multiply everything out as we did above.

The Binomial Theorem

We use the binomial theorem to help us expand binomials to any given power without direct multiplication. As we have seen, multiplication can be time-consuming or even not possible in some cases.

<span>Properties of the Binomial Expansion <span>(a + b)n</span></span><span><span>There are <span>\displaystyle{n}+{1}<span>n+1</span></span> terms.</span><span>The first term is <span>an</span> and the final term is <span>bn</span>.</span></span><span>Progressing from the first term to the last, the exponent of a decreases by <span>\displaystyle{1}1</span> from term to term while the exponent of b increases by <span>\displaystyle{1}1</span>. In addition, the sum of the exponents of a and b in each term is n.</span><span>If the coefficient of each term is multiplied by the exponent of a in that term, and the product is divided by the number of that term, we obtain the coefficient of the next term.</span>
7 0
3 years ago
Really NEED help PLEASE EXPLAIN!!
Leviafan [203]

Answer:

Lines y = -x+4 and y= 3x+3 intersect the y-axis

5 0
3 years ago
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