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
almond37 [142]
2 years ago
13

Write the expression 5x(x+9) -7(x+9) in complete factored form.​

Mathematics
2 answers:
tia_tia [17]2 years ago
6 0
5x^2 + 45 - 7x - 63 which simplifies to 5x^2 -7x -18?
sdas [7]2 years ago
3 0
<h3>Answer:</h3>

(5x-7)(x-9)

<h3>Step-by-step explanation:</h3>

Factoring is the inverse of the distributive property. This means that we want to find the factors, not the product.

Partial Factoring

The expression we are given has already been factored to an extent. Both terms are split into 2 different factors. This was done by factoring out the greatest common factor (GCF) from both terms. In the first term, the GCF was 5x, and in the second, the GCF was -7.

Complete Factoring

Even though it was partially factored, we can factor it more. When given the situation:

  • a(x + y) - b(x + y)

The expression can be factored into:

  • (a - b)(x + y)

You can add (subtract in this case because 7 is negative) the values from outside the parentheses together. This term can then be multiplied by the value within the parentheses.

Thus, 5x(x+9) -7(x+9) can be factored into:

  • (5x-7)(x-9)

Remember this trick only works when both terms share a factor like (x-9).

You might be interested in
Find the sum of the squares of the roots of 3x^2 + 4x + 12 = 0
Contact [7]

Answer:

-56/9

Step-by-step explanation:

Let p and q be the roots of the equation.

So, here's how we're gonna work it out:

{p}^{2}  +  {q}^{2}  =  \\  {p}^{2}  +  {q}^{2} +2 pq - 2pq =   \\ ( {p}^{2}  +2pq +   {q}^{2}) - 2pq =  \\  {(p + q)}^{2}  - 2pq

Vieta's formulas give us the sum and the product of the roots of a quadratic equation. Using them we obtain:

  • p + q = -b / a = - 4 / 3
  • p × q = c / a = 12 / 3 = 4

{(p + q)}^{2}  - 2pq =  \\  {( -  \frac{ 4}{3} )}^{2}  - 2 \times 4 =  \frac{16}{9 }  - 8 =  \\  \frac{16 - 72}{9}  = - \frac{56}{9}

4 0
3 years ago
Of the 240 sandwiches Joanna makes 20% are tuna sandwiches and 40% are jam sandwiches, and the rest are egg salad sandwiches.How
nikitadnepr [17]
240 = 100%
so 10% = 24 sandwiches 
all - (tuna) - (jam) = egg
100% - 20% - 40% = 40%
40% = 10%*4
40% = 24*4 = 96

the answer is 96 egg salad sandwiches
4 0
3 years ago
I need help with this.
anyanavicka [17]

Answer:

ubeovgtnwjggswgtepibvqyytkhfhduygvtqyaccjvgvdbbetedgtdgyegghjgdbecdkbfbgdhebhjegeckgbkhbeiubuvvsakvhfe

Step-by-step explanation:

hrtrrrrrrrrrrrrrrrrhhhhhhrhhhhhhhhhhhhhhhhhhhhhhhhhhhhrhhrhhrrhhhrhhhhh

8 0
3 years ago
If line A contains Q(5,1) and is parallel to line MN with M(-2,4) and N(2,1), which ordered pair would be on the perpendicular t
vivado [14]
Your question does not say what were your options, therefore I will answer generically: in order to understand if a point (ordered pair) is contained in a line, you need to substitute the x-component of the pair in the equation of the line and see if the calculations give you the y-component of the pair.

Example:
Your line is <span> y = 4/3x + 1/3
Let's see if <span>(0, 0) and (2, 3) </span>belong to this line

y</span> = <span>4/3·0 + 1/3 = 1/3 </span>≠ 0
Therefore, the line does not contain (0, 0)

y = 4/3·2 + 1/3 = 9/3 = 3
Therefore, the line contains (2, 3)

6 0
2 years ago
Read 2 more answers
A cellular phone company monitors monthly phone usage. The following data represent the monthly phone use in minutes of one part
vovikov84 [41]
The answer is 325 517 424 395 494
4 0
3 years ago
Read 2 more answers
Other questions:
  • You add 4 foot section of land to a 6 six foot by 8 foot garden. Find the area of the new garden
    6·1 answer
  • Approximately how many times greater is 2.3 than 1.15 ?
    8·1 answer
  • What is the measure of 1 in the trapezoid?<br><br><br><br> 110°<br> 55°<br> 165°<br> 85°
    15·2 answers
  • A 500-foot weather
    10·1 answer
  • What two numbers multiply to equal 20 and add to equal 3?
    9·1 answer
  • The magnitude, M, of an earthquake is defined to be M=log l/s, where l is the intensity of the earthquake (measured by the ampli
    6·2 answers
  • A bucket is raised from a well by means of a rope which is wound round a wheel of diameter 77cm. Given that the bucket ascends i
    12·1 answer
  • Pls help I’ll brainlest ASAP
    6·2 answers
  • List the number which round off to 300
    9·1 answer
  • (-3,-3)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!