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
andreyandreev [35.5K]
3 years ago
15

PLEASE HELP , I tried to learn but still don’t understand

Mathematics
1 answer:
Vadim26 [7]3 years ago
8 0

Answer:

  (x -8)(x +3) = 0

Step-by-step explanation:

When a quadratic has the factorization

  (x +a)(x +b) = 0

It expands to

  x² +(a+b)x +ab = 0

When you compare this expansion to the given quadratic, you find that the numbers "a" and "b" must satisfy the requirements ...

  a+b = -5 . . . . . . the coefficient of the x term

  ab = -24 . . . . . . the constant term

Another way to say this is that <em>you want to find two factors of -24 that have a sum of -5</em>.

___

At this point, you make use of your knowledge of signed numbers and of multiplication tables. You know that for the <em>product</em> of two numbers to be negative, exactly one of them must be negative. In order for the <em>sum</em> to be negative, the factor with the largest magnitude must be negative.

Here are the ways -24 can be factored with the largest (magnitude) factor negative:

  -24 = -24×1 = -12×2 = -8×3 = -6×4

The sums of the factors in these factor pairs are -23, -10, -5, -2. The one we're interested in is -8×3 with a sum of (-8 +3) = -5.

It does not matter which number (-8 or 3) is assigned to a or to b. It only matters that we now know the factored equation is ...

  (x -8)(x +3) = 0

You might be interested in
Caitlyn’s family has a circular swimming pool. The circumference of the pool is 25.12m What is its area?
Natasha2012 [34]

Answer:

A = 50.26 sq meters

Step-by-step explanation:

we have to find the diameter first by using the circumference:

C = πd

25.12 = πd

25.12/π = d

8 = d

this means the radius is 4

A = πr²

A = π4² or 16π

A = 50.26 sq meters

4 0
2 years ago
If there were 81 rows of green apple and each tree produced 542 apples how many green apples would there be in all
Anna35 [415]
81 apple trees
542 apples per tree
81 x 542 = 43,902 green apples
6 0
3 years ago
Read 2 more answers
A spinner is split into three equal sections numbered one through three. what is the probability of spinning two threes in a row
SCORPION-xisa [38]
C. 1/9 is the probability
6 0
2 years ago
Read 2 more answers
What is the sum of the measure of the interior angles of an octagon
Afina-wow [57]

Answer:

1080°

Step-by-step explanation:

formula to find the sum of interior angles of a polygon is (n-2)×180

octagon has 8 sides so n=8

(8-2)×180

6×180

=1080°

6 0
2 years ago
Simplify the radical expression below.<br><br><img src="https://tex.z-dn.net/?f=3%20%5Csqrt%7B7%7D%20-%20%5Csqrt%7B63%7D%20" id=
anzhelika [568]

So for this, we can simplify √63 as such:


\sqrt{63}=\sqrt{7*9}=3\sqrt{7}


Using the simplified version of √63, we can solve it:


3\sqrt{7} -3\sqrt{7} =0


Zero is your final answer.

4 0
3 years ago
Other questions:
  • (WILL MARK AS BRAINLIEST) Consider the graph of quadrilateral WXYZ.
    10·2 answers
  • A recipe uses 8 3/4 cups of milk for every 3 1/2 cups of oatmeal.
    12·1 answer
  • At soccer camp Bruce spent one hour and 30 minutes practicing defense and 2 hours shooting. if the camp ended at 2:15 PM what ti
    14·2 answers
  • Can you see attachment below
    15·2 answers
  • a. If you select a random sample of 50 ​sessions, what is the probability that the sample mean is between 10.8 and 11.2 ​minutes
    13·1 answer
  • Please help with this I need all the answers soon please it’s really important and please explain how you got the answers. 50 po
    14·1 answer
  • Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar. If the triangles are similar, write a valid sing
    13·1 answer
  • The Neiman family went out to dinner. How much will they pay
    11·1 answer
  • Please hurry up and help me thanks
    10·1 answer
  • -3p + 8 = -13 <br><br> HELLLLPP
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!