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Mathematics

1 answer:

ryzh [129]1 year ago

4 0

Answer:

See below. No image this time.

Step-by-step explanation:

P(2, 8) → P'(-5, 1), which it went 7 units to the left, and 7 units down. Here is the equation: (x - 7, y - 7).

R(-4, -9) → R'(-4, -2), which went 7 units up. Here is the equation: (x, y + 7).

M(10, -3) → M'(3, 4), which went 7 units left, 7 units up. Here's the equation: (x - 7, y + 7).

K(7, 11) → K'(0, 11), which went 7 units left. Here is the equation: (x - 7, y).

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Quincy, Ralph, Samantha and Teresa all joined a summer reading program. Quincy read five more books than Ralph did. Ralph read h

Dominik [7]

Answer:

Quincy read 9 books.

Step-by-step explanation:

Work backwards. Samantha read three less books than Teresa (11-3=8). Ralph read half as many books as Samantha (8/2 = 4). Quincy read five more books than Ralph (4 + 5 = 9).

5 0

3 years ago

Add the following polynomials, then place the answer in the proper location on the grid. Write answer in descending powers of x.

CaHeK987 [17]

Answer:

$-x^5+3x^4+16x^3+7x^2-3x+6$

Step-by-step explanation:

Given polynomials are:

$x^5-4x^4+7x^3+8$ , $9x^3+7x^2-10$ and $-2x^5+7x^4-3x+8$

Now we need to add the given polynomials, then place the answer in the proper location on the grid. Also we need to write answer in descending powers of x.

So let's add them by combining like terms:

$x^5-4x^4+7x^3+8+9x^3+7x^2-10-2x^5+7x^4-3x+8$

$-x^5+3x^4+16x^3+7x^2-3x+6$

Hence final answer in descending order is $-x^5+3x^4+16x^3+7x^2-3x+6$

6 0

2 years ago

If f(x) = 4x + 8 and g(x) = (x+4,<br> what is (fºg)(12)?

svetlana [45]

Answer:

Step-by-step explanation:

$f(x) = 4x+8\\g(x) = x + 4\\\\1. f(g(x)) = 4(x+4) + 8\\2. f(g(x)) = 4x + 16 + 8\\3. f(g(x))=4x + 24\\\\4. f(g(12)) = 4(12) + 24\\5. f(g(12)) = 48 + 24 = 72\\$