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
wariber [46]
3 years ago
12

F(x) = x2 − 8x + 15 g(x) = x − 3 h(x) = f(x) ÷g(x)

Mathematics
2 answers:
olasank [31]3 years ago
5 0
Hello : 
x²-8x+15 = (x-3)(x-5)
<span>h(x) = f(x) ÷g(x) = (x-3)(x-5)/(x-3)= x-5</span>
Pachacha [2.7K]3 years ago
5 0

Answer:

Step-by-step explanation:

Given: It is given that f(x)=x^2-8x+15 and g(x)=x-3.

To find: The value of h(x)=\frac{f(x)}{g(x)}

Solution: It is given that f(x)=x^2-8x+15 and g(x)=x-3, then the value of h(x)=\frac{f(x)}{g(x)} will be:

h(x)=\frac{x^2-8x+15}{x-3}

h(x)=\frac{x^2-5x-3x+15}{x-3}

h(x)=\frac{x(x-5)-3(x-5)}{(x-3)}

h(x)=\frac{(x-3)(x-5)}{(x-3)}

h(x)=x-5

Thus, the value of h(x) will be x-5.

You might be interested in
DUDE IVE BEEN ASKIN FOR HELP FOR AWHILE PLEASE HELP I BEG OF U I WILL DO ANYTHING EXTRA POINTS WHATEVER
Mars2501 [29]

Answer:

i can help with a littel bit of it

Step-by-step explanation:

1. answer

29±95‾‾‾√9

x

=

−

2

9

±

95

i

9

=−0.222222+1.08298

x

=

−

0.222222

+

1.08298

i

=−0.222222−1.08298

x

=

−

0.222222

−

1.08298

i

Find the Solution for:

92+4+11=0

9

x

2

+

4

x

+

11

=

0

using the Quadratic Formula where

a = 9, b = 4, and c = 11

=−±2−4‾‾‾‾‾‾‾‾√2

x

=

−

b

±

b

2

−

4

a

c

2

a

=−4±42−4(9)(11)‾‾‾‾‾‾‾‾‾‾‾‾√2(9)

x

=

−

4

±

4

2

−

4

(

9

)

(

11

)

2

(

9

)

=−4±16−396‾‾‾‾‾‾‾‾‾√18

x

=

−

4

±

16

−

396

18

=−4±−380‾‾‾‾‾√18

x

=

−

4

±

−

380

18

The discriminant 2−4<0

b

2

−

4

a

c

<

0

so, there are two complex roots.

Simplify the Radical:

=−4±295‾‾‾√18

x

=

−

4

±

2

95

i

18

=−418±295‾‾‾√18

x

=

−

4

18

±

2

95

i

18

Simplify fractions and/or signs:

=−29±95‾‾‾√9

x

=

−

2

9

±

95

i

9

which becomes

=−0.222222+1.08298

x

=

−

0.222222

+

1.08298

i

=−0.222222−1.08298

2. Answer:

=−38±895‾‾‾‾√40

x

=

−

3

8

±

895

i

40

=−0.375+0.747914

x

=

−

0.375

+

0.747914

i

=−0.375−0.747914

x

=

−

0.375

−

0.747914

i

3. Answer:

=0=−74

x

=

0

x

=

−

7

4

=0

x

=

0

=−1.75

Find the Solution for

82+14+0=0

8

x

2

+

14

x

+

0

=

0

using the Quadratic Formula where

a = 8, b = 14, and c = 0

=−±2−4‾‾‾‾‾‾‾‾√2

x

=

−

b

±

b

2

−

4

a

c

2

a

=−14±142−4(8)(0)‾‾‾‾‾‾‾‾‾‾‾‾√2(8)

x

=

−

14

±

14

2

−

4

(

8

)

(

0

)

2

(

8

)

=−14±196−0‾‾‾‾‾‾‾√16

x

=

−

14

±

196

−

0

16

=−14±196‾‾‾‾√16

x

=

−

14

±

196

16

The discriminant 2−4>0

b

2

−

4

a

c

>

0

so, there are two real roots.

Simplify the Radical:

=−14±1416

x

=

−

14

±

14

16

=016=−2816

x

=

0

16

x

=

−

28

16

=0=−74

x

=

0

x

=

−

7

4

which becomes

=0

x

=

0

=−1.75

i hope this helps

8 0
2 years ago
How many lbs are in a metric ton​
siniylev [52]

Answer:

2204.62

Step-by-step explanation:

4 0
2 years ago
you want to predict which movie will be the most popular among the students at your school next weekend. To do so, you ask a sam
Komok [63]
Because if you ask one student from each class you are getting a more accurate representation of the classes. If you were to ask one group you'd only get their opinion
6 0
2 years ago
Which expression is equivalent to 21 × 7?
madreJ [45]
7 x 21 is equivalent to 21 x 7
also 3 x 49
7 0
3 years ago
The graphs of ​ f(x)=−5/3x+9 ​ and ​ g(x)=2^x−1​ intersect at (3, 4) .
Vinil7 [7]
If they intersect at this point, that means this point is a solution (3,4)
3 0
2 years ago
Other questions:
  • Ratio equivalent to 12:21 with greater terms
    14·1 answer
  • PLEASE HELP, GEOMETRY WILL GIVE BRAINLIEST ANSWER.
    6·2 answers
  • How many 1/3 are there between 0 and 1 on a number line? How do you know?
    11·1 answer
  • Give the discriminant of the equation 0 = −x2+6x−9<br>please answer
    12·1 answer
  • Arc Length: The pendulum on a grandfather clock swings from side to side once every second. If the length of the pendulum is 4 f
    13·1 answer
  • I dont know how she got her anser pleas help
    9·1 answer
  • Please help!!!
    9·1 answer
  • en un circo para alimentar a 3 tigres se necesitan 40kg de carne por dia cuantos kg de carne diaria necesitaran para alimentar a
    14·1 answer
  • help please!! Mark the following triangles so that they are congruent by the Side-Side-Side Postulate
    5·1 answer
  • There are 25 students in Ms. Nguyen's second-grade class. In the class election, 4 students voted for Benjamin, 12 voted for Sah
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!