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
jarptica [38.1K]
3 years ago
6

Consider this expression.

Mathematics
1 answer:
Naily [24]3 years ago
6 0

Answer:

Step-by-step explanation:

Hello, first we can develop (x+a)(x+b)

(x+a)(x+b)=x(x+b)+a(x+b)=x^2+bx+ax+ab=x^2+(a+b)x+ab

We know that this should be equal to

x^2+x-72

So, we can identify the coefficients of the like terms

1 = 1 (terms in x^2)

1 =  a + b (terms in x)

-72 = ab (constant term)

72 is 8 * 9 so, -72=9*(-8)

and we have 9 - 8 =1

so, a = 9 and b = -8

\Large \boxed{\sf \bf \ x^2+x-72=(x+9)(x-8) \ }

Thank you

You might be interested in
The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x –
dmitriy555 [2]
|x-72.5|=4 \\
x-72.5=-4 \ \lor \ x-72.5=4 \\
x=-4+72.5 \ \lor \ x=4+72.5 \\
x=68.5 \ \lor \ x=76.5

The minimum and maximum temperatures in the house are 68.5°F and 76.5°.
5 0
3 years ago
Personal Finance
telo118 [61]

Answer:

Some states consider some income to be tax free. this statement is false

8 0
3 years ago
Read 2 more answers
7+3√5/3+√5 - 7-3√5/3-√5 = a + b√5
daser333 [38]
<h3>Given:-</h3>

\\ \sf \implies\frac{7 + 3 \sqrt{5} }{3 +  \sqrt{5} }  -  \frac{7  - 3 \sqrt{5} }{3  -   \sqrt{5} }  = a +  \sqrt{5} b \\

<h3>To Find:-</h3>

  • The value of a and b

<h3>Solution:-</h3>

\\ \sf \implies\frac{7 + 3 \sqrt{5} }{3 +  \sqrt{5} }  -  \frac{7  - 3 \sqrt{5} }{3  -   \sqrt{5} }  = a +  \sqrt{5} b \\

\\ \sf \implies\frac{( \: 7 + 3 \sqrt{5} \:  \: (  3  -   \sqrt{5}) \:  \:  - 7  -  3 \sqrt{5} \:  \: (  3   +    \sqrt{5}) \: }{(3 +  \sqrt{5})  \:  \:(3 +  \sqrt{5}) }   = a +  \sqrt{5}  \:  b\\

\\ \sf \implies\frac{( \: 21 - 7 \sqrt{5} \:   +  9    \sqrt{5} - 15) \:  \:  - ( \: 21  + 7 \sqrt{5} \:    -  9    \sqrt{5}  +  15)\: }{(3 +  \sqrt{5})  \:  \:(3 +  \sqrt{5}) }   = a +  \sqrt{5}  \:  b\\

\\ \sf \implies\frac{( \: 6 + 2 \sqrt{5} ) \:  \:  - ( \: 6 - 2 \sqrt{5} )\: }{(3 +  \sqrt{5})  \:  \:(3 +  \sqrt{5}) }   = a +  \sqrt{5}  \:  b\\

\\ \sf \implies\frac{\: 6 + 2 \sqrt{5}  \:  \:  -  \: \: 6 - 2 \sqrt{5} \: }{(3 +  \sqrt{5})  \:  \:(3 +  \sqrt{5}) }   = a +  \sqrt{5}  \:  b\\

\\ \sf \implies\frac{\: 4 \sqrt{5}  \:  \:   }{3  {}^{2}   -  {\sqrt{5} }^{2}  }   = a +  \sqrt{5}  \:  b\\

\\ \sf \implies\frac{\: 4 \sqrt{5}  \:  \:   }{ \:  \:  \:  \: 9 - 5 \:  \:  \:   }   = a +  \sqrt{5}  \:  b\\

\\ \sf \implies\frac{\: 4 \sqrt{5}  \:  \:   }{ \:  \:  \:  \: 4 \:  \:  \:   }   = a +  \sqrt{5}  \:  b\\

\\ \sf \implies\frac{\: \cancel{4 } \sqrt{5}  \:  \:   }{ \:  \:  \:  \:  \cancel{4 }\:  \:  \:   }   = a +  \sqrt{5}  \:  b\\

\\ \sf \implies \: \sqrt{5}  = a +  \sqrt{5}  \:  b\\

we can also write it as ;

\\ \sf \implies \: 0 + \sqrt{5}  = a +  \sqrt{5}  \:  b\\

★<u> </u><u>Henceforth, the value of a and b are</u> :

→ a = 0

→ b = 1

6 0
3 years ago
Read 2 more answers
F(x)=3x^2-6x+13 identify the values a and b
jek_recluse [69]

Answer:

Idk

Step-by-step explanation:

4 0
4 years ago
I have a question from my math quiz can someone please help so i can get it done.
nalin [4]

Answer:

Because it wanted to have 3 feet

Step-by-step explanation:

I have no idea Imao

4 0
4 years ago
Read 2 more answers
Other questions:
  • Which is one reason why this expression is equal to 0?
    8·1 answer
  • jennifer is saving up to buy dress. she has saved up to $39 so far. that's three fifths of the money she needs to buy the dress.
    15·1 answer
  • Liam had \$250$250dollar sign, 250. Then, he and his classmates bought a present for their teacher, evenly splitting the \$p$pdo
    8·2 answers
  • A line has an x-intercept of 3 and a y-intercept of -6. The slope-intercept form of its equation is
    9·2 answers
  • What is the function rule for this question?
    11·1 answer
  • Find the slope from (0,0) to (10,10)
    7·2 answers
  • Craig likes to collect video records last year he had 10 records his collection now has 12 records what is the percent increase
    6·2 answers
  • Please answer this for me correctly. There are two questions. THANK YOU!!
    11·1 answer
  • What is the answer to 7^3 x 7^-5? I need it for an important test that I can’t fail. Please help.
    14·1 answer
  • Mentally confused, please help.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!