1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Use a model to divide. 45 by 6
Savatey [412]

Answer:

45 / 6

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
During 16 seasons in the NHL, Wayne Gretzky scored 50% more points than anyone who ever played professional hockey. He accomplis
Maurinko [17]
Wayne Gretzky scored 50% more points than anyone else who ever played professional Hockey during his 20 seasons in the National Hockey League. He accomplished this amazing feat while playing in 280 fewer games than Gordy Howe, who is the previous record holder. The number of games he played during each season:
79,80,80,80,74 ,80,80,79,64,78,73,78,74,45,81,48,80,82,82,70.
a) The stem and leaf plot for the data can be comfortably obtained from the excel option as follows: XL STAT option in excel as follows:
1. In excel sheet choose XL STAT
2. Then in that choose the visualizing data- uni-variate plots.
3. In univariate plot – chart -select the stem and leaf plot.
4. In quantitative data select the data set and click ok.
A summary of the statistics and a stem and leaf plot can be obtained as follows.
8 0
3 years ago
Tind the variable of y x=3y
Morgarella [4.7K]

x=3y

Switch sides


3y=X


Divide 3 both sides to get


T= x/3

7 0
3 years ago
Collinear points are two or more points that lie on the same blank?HELP
guapka [62]
Collinear points are two or more points that lie on the same line.
this question came out in a juniour olympiad nigeria
please follow me on instagram please
7 0
3 years ago
20 yards for $30.00
sertanlavr [38]
A) $55.00
65 yards for $85.00 subtract
20 yards for $30.00
85-30=55
4 0
3 years ago
Other questions:
  • Bruno bought 96 pounds of sugar for his bakery. Every day he used the same amount of sugar to make bakery items. After 10 days,
    14·1 answer
  • Help please<br>urgent!!!!!!
    13·1 answer
  • What mutiplication equals to 1400
    5·1 answer
  • Marjorie has 28 feet of trim to use as edging on a rectangular blanket she wants to make. What is the length and width of two bl
    9·1 answer
  • A massage costs $81.50 per hour. How much will a massage for 2.5 hours cost
    11·2 answers
  • a patient receives 150 cc of medication in an IV drip over 4 hours.What is the rate per hour of this dose
    15·1 answer
  • The manager of a warehouse would like to know how many errors are made when a product’s serial number is read by a bar-code read
    14·1 answer
  • 7 + 3:
    8·1 answer
  • I need help ASAP thanks!!
    15·1 answer
  • How many triangles are formed by the angles and sides (45°, 108°, 7 cm)--unique triangle, more than one triangle, or no triangle
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!