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
Anyone in connections academy algebra 2 or someone else that can help me with some problems? Here is the first: Let f(x)=2x^2+x-
sergiy2304 [10]
F(x)/g(x) = (2x +3)(x -1)/(x -1) = 2x +3 . . . . . x ≠ 1

The domain of (f/g)(x) is all real numbers except 1.

_____
The domain of any rational function necessarilly excludes any values that make the function undefined, that is, that make the denominator zero.
3 0
3 years ago
What is the qoutient of -48÷6?<br>A.42<br>B.8<br>C.-8<br>D.-42​
maks197457 [2]

Answer:

C. -8

This is the correct answer. Hope this helps :)

4 0
3 years ago
Read 2 more answers
If tan θ = 3/2 and cos θ &lt; 0, use the fundamental identities to evaluate the other five trig functions of θ.
notsponge [240]
Use the Pythagorean theorem, tan is y/x so y = -3 and x= -2. Because cos is negative and R is always positive. You need to find R- which is the hypotenuse;
3^2 + 2^2 = r^2
9 + 4 = r^2
13 = r^2
√13 = r.

So you already have tan<span>θ, 
cot</span><span>θ= 2/3

sin</span>θ= -3/√13 BUT
you have to rationalize, so you get -3 √13/ 13

cscθ= √13/ -3

cosθ= -2/ √13 BUT
you have to rationalize, so you get -2√13/ 13

secθ= √13/ -2
4 0
3 years ago
Read 2 more answers
-4x-y=24 <br>what is the answer to this​
lorasvet [3.4K]
If it is a slope formula I believe it is y= 4x-24
7 0
3 years ago
What is the solution to the compound inequality in interval notation? 2(2x−1)&gt;6 or <br> x+3≤−6
Vikentia [17]
4x - 2 > 6
4x > 8
x > 2

x + 3 <= -6
x <= -9 

so answer in interval notation is  (-∞, -9] or (2, ∞)
8 0
4 years ago
Other questions:
  • Kurt bought a bike for $149.95. Eric bought a bike that had been $169.50 but was marked 1/5 off. How much less did Eric’s bike c
    8·1 answer
  • What happens when you rotate a straight line 180 degrees?
    9·1 answer
  • A rectangular picture frame has the dimensions shown in
    14·2 answers
  • 3n-5=19
    15·1 answer
  • The product of x and 3 is greater than it equal to -28
    14·2 answers
  • Follow the steps to solve this equation.
    6·2 answers
  • The Dunkin family budgets 6 1/2% of their annual net income of $39,000 for clothes. How much annually do they budget for clothes
    5·1 answer
  • Write three words that represent a positive number<br> ASAP PLEASE ‼️‼️‼️‼️‼️
    9·1 answer
  • 1 2/5 as an improper fraction
    14·1 answer
  • Pythagorean Theorem with Known Legs
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!