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olga2289 [7]
3 years ago
11

Sample Work Help Needed! Please answer these questions and show the steps used to solve them. NO DECIMAL ANSWERS (except on thre

e)
Simplify.
1. (-2x3y4)(5x9y-2)

Simplify. Write in Scientific Notation
2. 8(32 x 1011)

Multiply.
3. (3x – 1)(5x + 4)

Factor.
4. 8x2 + 2x - 3
Mathematics
1 answer:
anygoal [31]3 years ago
8 0

1. Using the exponent rule (a^b)·(a^c) = a^(b+c) ...

\left(-2x^3y^4\right)\left(5x^9y^{-2}\right)=(-2)(5)\left(x^{(3+9)}y^{(4-2)}\right)\\\\=-10x^{12}y^{2}

Simplify. Write in Scientific Notation

2. You know that 256 = 2.56·100 = 2.56·10². After that, we use the same rule for exponents as above.

8 \left(32\times 10^{11}\right)=(8)(32)\times 10^{11}=256\times 10^{11}=2.56\times 10^{13}

3. The distributive property is useful for this.

(3x – 1)(5x + 4) = (3x)(5x + 4) – 1(5x + 4)

... = 15x² +12x – 5x –4

... = 15x² +7x -4

4. Look for factors of 8·(-3) = -24 that add to give 2, the x-coefficient.

-24 = -1×24 = -2×12 = -3×8 = -4×6

The last pair of factors adds to give 2. Now we can write

... (8x -4)(8x +6)/8 . . . . . where each of the instances of 8 is an instance of the coefficient of x² in the original expression. Factoring 4 from the first factor and 2 from the second factor gives

... (2x -1)(4x +3) . . . . . the factorization you require

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Answer:

x=12

Step-by-step explanation:

3x=2x+12

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4 0
2 years ago
The point (1, –5) is reflected across the y-axis. A coordinate plane. What are its new coordinates?
luda_lava [24]
<h3>Answer:  Choice C.   (-1, -5)</h3>

Explanation:

The reflection rule we use is

(x,y) \to (-x, y)

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Therefore, (1, -5) \to (-1, -5)

7 0
3 years ago
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irinina [24]
149/1502≈0.1, which is C. Hope it help!
3 0
3 years ago
What Is 2 + 2^2 + 10?
ikadub [295]
The answer is 16 
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2 years ago
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When Sebastian left his house in the morning, his cell phone battery was partially charged. The charge remaining in Sebastian's
Evgesh-ka [11]

Answer:

The slope is -9

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Step-by-step explanation:

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y = mx + b

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With respect to the given equation, the slope is -9

What it means is that the percentage that drops per hour on the battery is 9%

8 0
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