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
Alinara [238K]
2 years ago
7

Solve the system of equations. Show your work. y = x^2 -3x +4 x + y = 4

Mathematics
1 answer:
sesenic [268]2 years ago
3 0

Answer:

x + y = 2 ,  y = x 2 − 4 x + 4

Replace all occurrences of  

y

with  x 2 − 4 x + 4

in each equation.

x 2 − 3 x + 4 = 2 y = x 2 − 4 x + 4

Solve for  

x

in the first equation.

x = 2 , 1 y = x 2 − 4 x+ 4

Replace all occurrences of  

x  with  2

in each equation.

y=0 x = 2

Replace all occurrences of  x

with  1

in each equation.

y = 1 x = 1

The solution to the system is the complete set of ordered pairs that are valid solutions.

( 2 , 0 ) ( 1 , 1 )

The result can be shown in multiple forms.

Point Form:

( 2 , 0 ) , ( 1 , 1 )

Equation Form:

x=2 , y = 0 x = 1 , y = 1

Step-by-step explanation:

You might be interested in
Graph the linear function in questions 5 and 6. y=1/3x-4
goldfiish [28.3K]

Answer:

For y = 1/3x - 4

Step-by-step explanation:


6 0
2 years ago
Help ASAP, WILL MARK BRAINLIEST!!<br> please look at image before answering!
Ivahew [28]

Answer:

To know what the ratio for the cos of theta, we actually have to see the adjacent and hypotenuse values. cos=adjacent/hypotenuse.

Step-by-step explanation:

3 0
3 years ago
You want to fill up a jar with lemonade.
Elenna [48]
Volume because of weight and surface
5 0
3 years ago
Write an equation that has a graph with the shape of y = x^2, but shifted left 3 units.
svetoff [14.1K]
\bf \qquad \qquad \qquad \qquad \textit{function transformations}&#10;\\ \quad \\\\&#10;% left side templates&#10;\begin{array}{llll}&#10;f(x)=&{{  A}}({{  B}}x+{{  C}})+{{  D}}&#10;\\ \quad \\&#10;y=&{{  A}}({{  B}}x+{{  C}})+{{  D}}&#10;\\ \quad \\&#10;f(x)=&{{  A}}\sqrt{{{  B}}x+{{  C}}}+{{  D}}&#10;\\ \quad \\&#10;f(x)=&{{  A}}(\mathbb{R})^{{{  B}}x+{{  C}}}+{{  D}}&#10;\\ \quad \\&#10;f(x)=&{{  A}} sin\left({{ B }}x+{{  C}}  \right)+{{  D}}&#10;\end{array}\\\\&#10;--------------------\\\\

\bf % template detailing&#10;\bullet \textit{ stretches or shrinks horizontally by  } {{  A}}\cdot {{  B}}\\\\&#10;\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}&#10;\\\\&#10;\bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\&#10;\left. \qquad  \right. if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\&#10;\left. \qquad  \right.  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\

\bf \bullet \textit{ vertical shift by }{{  D}}\\&#10;\left. \qquad  \right. if\ {{  D}}\textit{ is negative, downwards}\\\\&#10;\left. \qquad  \right. if\ {{  D}}\textit{ is positive, upwards}\\\\&#10;\bullet \textit{ period of }\frac{2\pi }{{{  B}}}

now, with that template in mind, let's see

\bf y=x^2\implies &#10;\begin{array}{llll}&#10;y=(&1x&-0)^2\\&#10;&B&C&#10;\end{array}

so, just change C to +3, thus C/B is 3/1
6 0
2 years ago
Brainliest + Points. <br><br> Can someone please help me I'm confused
mezya [45]

A would be (-3, 6).

B would be (-6, 3).

Anytime something is asking you to reflect off of the Y-axis, you put the original but flipped. Also, your answer will always be straight across vertically.

8 0
3 years ago
Other questions:
  • Maria is buying new carpet for her bedroom. Her bedroom is in the shape of a square
    9·1 answer
  • Write a decimal in tenths that is less than 2.42 but greater than 2.0
    10·1 answer
  • What is this question for math 2/12+1/3
    10·2 answers
  • Is angle 1 the same as angle 2?
    6·1 answer
  • Name the quadrant in which tanθ and secθ are positive.
    7·1 answer
  • In a test tube, you have 4ML of oil and 6 ML of water. What percentage of the liquid is oil?
    11·2 answers
  • Charlene had 5,750 pieces of penny candy. She sold 3/5 of them and divided rest into 5 equal bags to give her friends for Hallow
    11·1 answer
  • Help me plssssssssssssssss I need help
    12·2 answers
  • Help me plz thanksss
    6·1 answer
  • Including a 7% sales tax, an inn charges $109.14 per night. Find the inn's nightly cost before tax is added.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!