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
HACTEHA [7]
3 years ago
12

Solve the system. y= 3x2−2x+3​ y = x + 3 The solutions are (__,__) and (__,__).

Mathematics
1 answer:
photoshop1234 [79]3 years ago
8 0

Answer:

(0,3) and (1,4)

Step-by-step explanation:

Given that:

y= 3x2−2x+3​  ------------- eq1

y = x + 3  ------------------ eq2

Putting value from eq2 to eq1

x + 3 = 3x2−2x+3​

3x2−2x+3​  - x - 3 = 0

3x2−3x = 0

Taking 3 common

x2 - x = 0

x(x-1)= 0

So

x = 0      and   x = 1

Now put value in eq2

y = 0 + 3   and    y= 1 + 3

y = 3 and y = 4

So solution sets are:

(0,3) and (1,4)

i hope it will help you!

You might be interested in
On a quiz, you answered 38 questions correctly out of 43. What percent did you answer correctly? (Round your answer to nearest p
horsena [70]

Answer:

D

Step-by-step explanation:

<u>38=x</u>

43=100

Cross multiply.

5 0
3 years ago
Read 2 more answers
Hayley is buying herbs. She wants to buy   ounce of basil. The scale she is using to weigh the basil displays the weight as
victus00 [196]

Complete question :

Hayley is buying herbs. She wants to buy 5/6  ounce of basil. The scale she is using to weigh the basil displays the weight as a decimal. How will she know when the display on the scale is correct to the tenths place? Explain your reasoning.

Answer:

0.8

Step-by-step explanation:

To obtain the fractional expression of weight in decimal form:

5/ 6 ounce of bassil is converted into decimal :

5 / 6 = 0.8333

Hence, for a fraction of 5 /6, we obtain;

5/6 = 0.8333

To the nearest tenth :

0.8

7 0
2 years ago
Which number should each side of the equation 4/5x=8 be multiplied by to produce the equivalent equation of x=10?
kompoz [17]

Answer:

D

Step-by-step explanation:

(4/5)x*5=8*5

4x=40

4x/4=40/4

x=10

5 0
2 years ago
What is the equation, in standard form, of a parabola that models the values in the table? x~ -1 0 2
Inessa05 [86]
<h2>Steps</h2>
  • Standard Form Equation: f(x) = ax² + bx + c

So firstly, since (0,5) is one of our values we can plug it into the standard form equation to solve for the c variable (since 0 will cancel out the a and b variable):

5=a*0^2+b*0+c\\5=c

Now we know that the value of c is 5. Next, plug in (-1,12) into the standard form equation and simplify (remember to also plug in 5 for the c variable):

12=a*(-1)^2+b*(-1)+5\\12=a-b+5\\7=a-b

Next, plug (2,15) into the standard form equation and simplify:

15=a*2^2+b*2+5\\15=4a+2b+5\\10=4a+2b\\5=2a+b

Now, with our last two simplified equations we will create a system of equations:

7=a-b\\5=2a+b

Now, I will be using the elimination method with this system. With the system, add up the equations together and you will get:

12=3a

From here, we can solve for the a variable. With it, just divide both sides by 3:

4=a

Now that we know the value of a, plug it into either equation to solve for the b variable:

7=4-b\\3=-b\\-3=b\\\\5=2(4)+b\\5=8+b\\-3=b

<h2>Answer</h2>

Putting all of our obtained values together, your final answer is:

f(x)=4x^2-3x+5

8 0
2 years ago
Increase £120 by 25%​
alekssr [168]
120 * 0.25 = 30
120 + 30 = £150
6 0
3 years ago
Other questions:
  • Find the slope between (3,2) and (-2,3)
    13·1 answer
  • What is the 214 term in the sequence 7,10,13,16?
    15·1 answer
  • The local jewelry store marks up the price of a necklace by 65% before selling them. If the store paid the distributor $85 per n
    12·1 answer
  • Which equation is equivalent to log3(x+5)=2
    10·2 answers
  • What is the gcf of 12,30
    10·1 answer
  • PlZ Answer I Will Give You Brainliest!!!
    11·1 answer
  • What is 4, 4.9, 4 3/4, 4.329 in order from greatest to least
    5·2 answers
  • On a run, Natasha ran for 1 1/4 hours at a speed of 6 miles per hour. She then rested for 1/4 hour before running another hour a
    7·1 answer
  • Will give Brainliest to first person to give right answer!!!
    9·2 answers
  • Find <img src="https://tex.z-dn.net/?f=%5Clim_%7Bh%20%5Cto%20%5C%200%7D" id="TexFormula1" title="\lim_{h \to \ 0}" alt="\lim_{h
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!