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
IRINA_888 [86]
3 years ago
6

X2 - 6x + 12 and y = 2x - 4, algebraically are

Mathematics
1 answer:
olga_2 [115]3 years ago
5 0

<em><u>The solution is (4, 4)</u></em>

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

y = x^2 - 6x + 12 ------ eqn\ 1\\\\y = 2x - 4 ---------- eqn\ 2

<em><u>Substitute eqn 2 in eqn 1</u></em>

x^2 - 6x + 12 = 2x - 4

Make the right side of equation 0

x^2 - 6x + 12 - 2x + 4 = 0\\\\x^2 -8x + 16 = 0

<em><u>Solve by quadratic equation</u></em>

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=-8,\:c=16:\\\\x=\frac{-\left(-8\right)\pm \sqrt{\left(-8\right)^2-4\cdot \:1\cdot \:16}}{2\cdot \:1}\\\\x=\frac{-\left(-8\right)\pm \sqrt{0}}{2\cdot \:1}\\\\x = \frac{8}{2}\\\\x = 4

<em><u>Substitute x = 4 in eqn 2</u></em>

y = 2(4) - 4

y = 8 - 4

y = 4

Thus solution is (4, 4)

You might be interested in
PLZ HELP THIS IS MY LAST QUESTION SO PLZ HELP :(
svet-max [94.6K]
These is yes!!! algebra one or two
6 0
2 years ago
Read 2 more answers
Fifteen girls left a mixed group of boys and girls. There remained two boys for each girl. After this, 45 boys leave the group,
statuscvo [17]
Sorry i cant answer this way too hard for me
5 0
3 years ago
The initial quantity at T= 0 is 1000z the quantity grows by a factor 3%. What is the quantity at T=5?
fgiga [73]

Answer:

1,159

Step-by-step explanation:

1000*(1.03) = 1159.274 at t = 5

8 0
3 years ago
What is 8640 minutes in days
Zolol [24]

Answer:

it is 6 days

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
One stack has 6 cups, and its height is 15 cm. The other one has 12 cups, and its height is 23 cm. How many cups are needed for
Ronch [10]

Answer:

Given

Number of stacks = 2

Stack 1 = 6 cups; h1 = 15cm

Stack 2 = 12 cups; h2 = 23cm

Let's first find the average:

With an average of 4/3, to obtain the number of cups needed to obtain a height of 50m, we have:

50 / (4/3)

= 50 * 3/4

= 150/4

= 37.5

From the answer, we can see that the number of cups is not really proportional to the height of the stack, because the average of stack one and stack 2 are different.

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Attached below. 20pts will thanks rate and give best answer
    13·1 answer
  • The number of hours per day that Americans spend on social networking is approximately normally distributed. A random sample of
    11·1 answer
  • Using the graph below select all statements that are true
    8·1 answer
  • The graph above shows the average number of hours per week a person spends watching television in a number of different countrie
    7·1 answer
  • What is the solution to the following inequality below? 3 &gt; fraction 11+x over 4 &gt; -3 Side Note: The last &gt; should have
    5·1 answer
  • Triangle ABC is dilated to form triangle A’B’C’. What is the dilation factor? What is the center of dilation? Select all that ap
    9·2 answers
  • Claire's music playlist contains songs she bought and songs her mother bought. The ratio of her songs to her mother's songs is 3
    11·1 answer
  • A baseball bat cost $30 each from a manufacturer. If a store purchases more than 10 bats, the store receives a 15% discount on t
    9·1 answer
  • A marathon is 131\5 miles long. If 4 people divide the distance equally, how many miles does each person need to run?
    6·1 answer
  • I need to know what R + 3 =3
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!