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
arlik [135]
3 years ago
8

Which system of equations does this graph represent?

Mathematics
2 answers:
RoseWind [281]3 years ago
7 0

Answer:

System of the equations will be y = x + 4 and y = x² + 2

Step-by-step explanation:

The system of equations comprises a parabola and a straight line.

We will form the equation of the line first.

Straight line given in the system passes through two points (2, 6) and (-1, 3).

Since standard for of a straight line is given by y = mx + c

where m = slope and c = y-intercept

So, Slope m = \frac{y-y'}{x-x'}

m =  \frac{6-3}{2+1}

m = 1

And y-intercept c = 4

Therefore, equation of the line will be y = x + 4

For the equation of parabola.

Vertex form of the parabola is represented by,

y = (x - h)² + k

Where (h, k) is the vertex.

Vertex is given in the graph is (0, 2).

So the equation will be y = (x - 0)² + 2

y = x² + 2

Therefore, system of the equations will be y = x + 4 and y = x² + 2

tensa zangetsu [6.8K]3 years ago
6 0
You just need to list the equations of the two graphs.

y=x^2 + 2
y=x+4
You might be interested in
2 trains leave the same station at the same time but opposite directions.One train travels at 70mph and the other travels at 80m
Oliga [24]
It would be 13 hours went they pass
8 0
3 years ago
after an art class 15% of the color pencils were missing. how many color pencils were there originally if 9 color pencils are no
NARA [144]
We know that the 15% of missing pencils is equal to 9

we can use this formula

9/x = 15/100

Then cross multiply

15x = 900

x = 60

There were orignally 60 pencils
8 0
3 years ago
A distribution of values is normal with a mean of 1986.1 and a standard deviation of 27.2.
m_a_m_a [10]

Answer:

I used the function normCdf(lower bound, upper bound, mean, standard deviation) on the graphing calculator to solve this.

  • Lower bound = 1914.8
  • Upper bound = 999999
  • Mean = 1986.1
  • Standard deviation = 27.2

Input in these values and it will result in:

normCdf(1914.8,9999999,1986.1,27.2) = 0.995621

So the probability that the value is greater than 1914.8 is about 99.5621%

<u><em>I'm not sure if this is correct </em></u><em>0_o</em>

4 0
2 years ago
What is the expression in simplest radical form
LiRa [457]

Simplify the radical by breaking up the radicand into a product of known factors.

6\sqrt{14}

8 0
3 years ago
After 2 hours, there are 1,400 mL of fluids remaining in a patient’s IV. The fluids drip at a rate of 300 mL per hour. Let x be
CaHeK987 [17]

Answer:

y(2) = 1400

Using this condition we got:

1400= -300*2 +b

And solving for b we got:

b= 1400+ 600= 2000

So then our linear function is given by:

y = -300x +2000

Where y is the amount of fluid left and x the number of hours ellapsing

Step-by-step explanation:

We want to set up a linear function like this one:

y = mx+b

Where y is the amount of fluid left, m the slope and b the initial amount. From the info given we know thatm = -300. And we also have the following condition:

y(2) = 1400

Using this condition we got:

1400= -300*2 +b

And solving for b we got:

b= 1400+ 600= 2000

So then our linear function is given by:

y = -300x +2000

Where y is the amount of fluid left and x the number of hours ellapsing

6 0
2 years ago
Other questions:
  • PLEASE HELP!! A pyramid with a rectangular base is stacked on top of rectangular prism. The height of the composite figure is 10
    8·2 answers
  • What's the answer!?!?!?!?
    10·2 answers
  • Find the LCD of the following list of fractions. 2/21, 10/14, 17/22 LCD=
    5·1 answer
  • Which pair of numbers are relatively prime
    9·2 answers
  • Simplify the expression. Assume all variables are positive. <br> (r/32s)^8/5
    14·1 answer
  • What is the answer to 1/3 ✖9
    14·2 answers
  • What is the value of (Negative one-half)–4?
    12·2 answers
  • Amanda invests 5000 in a cd at an annual rate of 2%. What will her investment be worth at the end of three years?
    8·2 answers
  • Please help me do number One
    11·1 answer
  • A monument in a park is shaped like a square pyramid. The dimensions are shown in the net. What is the surface area of the monum
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!