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Tema [17]
3 years ago
14

PLEASE HELP!! please do all steps! i’ll mark as brainliest!!!

Mathematics
2 answers:
aalyn [17]3 years ago
8 0

Answer:

-3x⁴ - 9x³ + 15x² = -3x² (x² + 3x -5)

10x³ -35x² + 6x - 21 = (2x - 7) (5x² + 3)

Step-by-step explanation:

-3x⁴ - 9x³ + 15x² = -3x² (x² + 3x -5)

10x³ -35x² + 6x - 21 = (2x - 7) (5x² + 3)

pishuonlain [190]3 years ago
3 0

Answer: 1. 3x^2(-x^2-3x+5). 2. (2x-7)(5x^2+3)

Step-by-step explanation:

(1) Find the greatest common factor - 3x^2. Simplify as much as possible.

(2) Split 10x^3 - 35x^2 and 6x-21 into two separate groups. Factor each group separately to get 5x^2(2x-7) and 3(2x-7). The numbers in the parentheses should be the same for each group - (2x-7). Take the numbers outside of the parentheses and put them together to get (5x^2+3). Your final answer will be (2x-7)(5x^2+3).

You might be interested in
The following linear equation represents the line of best fit for the following scatter plot
Burka [1]

Answer:

C) 28.5 home runs

General Formulas and Concepts:

<u>Pre-Algebra </u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define </u>

y = home runs

x = hits

[Best Line of Fit] y = 0.15x - 1.5

<em>We can use this to predict the average of the scatter plot. </em>

hits = x = 200 times

<u>Step 2: Solve for </u><em><u>y</u></em><u> home runs</u>

  1. Substitute [BLF]:                     y = 0.15(200) - 1.5
  2. Multiply:                                  y = 30 - 1.5
  3. Subtract:                                 y = 28.5

Remember that this is only a <em>prediction.</em> Actual data can vary. The best line of fit tells us that if a player hits 200 times, we would get approximately 28.5 home runs.

7 0
3 years ago
Read 2 more answers
The point slope form of the equation of the line that passes through (-5-1) and (10.-7) is
Natalka [10]

Answer:

The standard form of the equation for this line can be:

l: 2x + 5y = -15.

Step-by-step explanation:

Start by finding the slope of this line.

For a line that goes through the two points (x_0, y_0) and (x_1, y_1),

\displaystyle \text{Slope} = \frac{y_{1} - y_{0}}{x_{1} - x_{0}}.

For this line,

\displaystyle \text{Slope} = \frac{(-1) - (-7)}{(-5) - 10} = -\frac{2}{5}.

Find the slope-point form of this line's equation using

  • \displaystyle \text{Slope} = -\frac{2}{5}, and
  • The point (-5, -1) (using the point (10, -7) should also work.)

The slope-point form of the equation of a line

  • with slope m and
  • point (x_{0}, y_{0})

should be l:\; y - y_{0} = m(x - x_0).

For this line,

  • \displaystyle m = -\frac{2}{5}, and
  • x_0 = -5, and
  • y_0 = -1.

The equation in slope-point form will be

\displaystyle l:\; y - (-1) = -\frac{2}{5}(x - (-5)).

The standard form of the equation of a line in a cartesian plane is

l: \; ax + by = c

where

a, b, and c are integers. a \ge 0.

Multiply both sides of the slope-point form equation of this line by 5:

l:\; 5 y + 5 = -2x -10.

Add (2x-5) to both sides of the equation:

l: \; 2x + 5y = -15.

Therefore, the equation of this line in standard form is l: \; 2x + 5y = -15.

7 0
3 years ago
Given a = -3, b = 4 and c= -5, evaluate -la - bl + c.
Katena32 [7]

Answer:

-12

Step-by-step explanation:

Step 1: Plug in the values: - |-3 - 4| - 5

Step 2: Solve!

= - |-7| -5

= - 7 - 5

= -12

8 0
4 years ago
Please help me in a rush
vova2212 [387]

5.89 x 5 = 29.45

Hope this helps you!

Always remember you are a Work Of Art!

- Nicole :) <3

3 0
4 years ago
Read 2 more answers
6x + y = -2<br> y= -3x + 1<br><br> Graph the solution
Gala2k [10]
6x + y = -2
y = -3x + 1

Substitute the value of y in first equation, 
6x -3x + 1 = -2
3x = -2-1
x = -3/3
x = -1

Now, Substitute it in 2nd equation, 
y = -3(-1) + 1
y = 3+ 1 = 4

Coordinates would be: (-1,4) Mark that point and join with origin.

Hope this helps!
6 0
3 years ago
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