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
egoroff_w [7]
3 years ago
8

Given f(x) = x ^ 2 - 6x + 8 and g(x) = x + 2 solve f(x) = g(x) . Use the tables below to help you, but please explain how you ca

me up with your answer.
(second table continued: 4,6; 5:7; 6,8)

Mathematics
1 answer:
Travka [436]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = x² - 6x + 8 and g(x) = x + 2

To solve f(x) = g(x), equate the right sides, that is

x² - 6x + 8 = x + 2 ← subtract x + 2 from both sides

x² - 7x + 6 = 0 ← in standard form

(x - 1)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 6 = 0 ⇒ x = 6

These solutions can be verified from the tables, that is

f(x) = g(x) = 3 ← when x = 1

f(x) = g(x) = 8 ← when x = 6

You might be interested in
Which of the following statements about rational numbers is not correct?
olga_2 [115]
4 5 3 are the correct answers
4 0
3 years ago
How many times does the image of the octagon coincide with the preimage during the rotation?
Delicious77 [7]

The image would coincide with the pre-image during the rotation. Therefore, the octagon would coincide a total of 8 times as it rotates 360 degrees about its center.

7 0
3 years ago
Read 2 more answers
Anna makes unique jewelry. The owner of the "Unique" store agreed with Anna to deliver 20 bracelets a week. At the moment, Anna
fgiga [73]

Answer:

7 weeks

Step-by-step explanation:

80 ÷ 20 = 4

She over those four week she makes 17 per week. So,

17 × 4 = 68

Next, divide the product by 20:

68 ÷ 20 = 3.4

But 3.4 is only 3 full weeks so then its 3.

Lastly, add the 3 weeks we just solved for the the 4 weeks from before and you get 7 weeks.

So, Anna will be able to supply the "Unique" store for 7 weeks.

I HOPE I HELPED!!!!!!!!!! :))))))

6 0
3 years ago
4x²-9y², 8x³ - 27y³ and (2x-3y)²​
Effectus [21]

Step-by-step explanation:

I am only sure about the first one but as for the rest I am not really but I tried...if you need explanations to the first one feel free to ask me

5 0
1 year ago
Recall the formula for the area of a trapezoid, A=1/2h(a+b) , where h is the height and a and b are the lengths of the parallel
Gekata [30.6K]

Answer:

The area of the trapezoid is 40 square inches

Step-by-step explanation:

Here, we want to find the area of the given trapezoid

Mathematically, we apply the formula for the area

In this case, a will be 10, b will be 6 and h will be 5

Substituting these values, we have that ;

A = 1/2(10 + 6)5

A = 1/2(16)(5)

A = 40 square inches

7 0
3 years ago
Read 2 more answers
Other questions:
  • The ordered pair (36,4) is a solution to what equation?
    6·1 answer
  • Can someone please help me look at the picture
    12·1 answer
  • A triangle with side lengths of 3, 4, and 5 forms a right triangle.<br><br> True<br> False
    12·2 answers
  • Use the equation 15% = 10% + 5% to find a 15% tip on a bill of $14.85. (Round the bill to the nearest dollar before finding the
    13·1 answer
  • Please answer this I will give brainliest thank you very much for your help
    14·1 answer
  • Factor 3y2 + 21y - 24
    10·1 answer
  • If c=1/3 and b=3 solve 3c divided by (2b to the 2nd power
    11·1 answer
  • Please help :( i don’t understand!
    7·1 answer
  • What is higher 2 celsius or 38 fahrenheit?
    13·2 answers
  • If every 5 minutes I get 3 coins then how long will it take for me to get 75 coins?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!